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- Source title: PSI photoinhibition and protection at low temperatures and in fluctuating light: An 30 ecophysiological vista
- Author(s): TAKEUCHI, K., OGUCHI, R., SUGIMOTO, K., TERASHIMA, I., KONO, M.
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1 **Corresponding authors**


2


3 **Ichiro TERASHIMA**


4 Institute of Molecular Biology, National Chung Hsing University


5 145 Xingda Rd., South Dist., Taichung 40227, Taiwan


6 TEL: +886-958-127-704


7 terashimaichiro@nchu.edu.tw, terashimaichiro6@gmail.com


8


9 **Masaru KONO**


10 Exo-Life Search Project Office, Astrobiology Center, National Institutes of Natural Sciences (NINS)


11 2-21-1 Osawa, Mitaka, Tokyo 181-8588, Japan


12 TEL: +81-422-34-4072


13 Laboratory for Chemistry and Life Science, Institute of Integrated Research, Institute of Science Tokyo


14 4259 Nagatsuta-cho, Midori-ku, Yokohama, Kanagawa 226-8501, Japan


15 TEL: +81-45-924-5246


16 &#91;konom07@bs.s.u-tokyo.ac.jp&#93;(mailto:konom07@bs.s.u-tokyo.ac.jp)


17


18


19 Subject Area


20 (2) Ecophysiology / (5) Physiology/Biochemistry


21


22 Number of black and white figures, color figures and table:


23 Black and white figure: 1


24 Color figure: 4


25 Table: 2


26 Supplementary figure: 0


27 Supplementary table: 3


28 Supplementary text: 3


29


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30 **PSI photoinhibition and protection at low temperatures and in fluctuating light: An**


31 **ecophysiological vista**


32


33 **Ko TAKEUCHI** **&#91;1&#93;** **, Riichi OGUCHI** **&#91;2&#93;** **, Kazuhiko** **SUGIMOTO** **&#91;3&#93;** **, Ichiro TERASHIMA** **&#91;3&#93;** ***, Masaru** **KONO** **&#91;4, 5&#93;** *****


34


35 1 Graduate School for Agricultural Science, Kobe University, 1-1 Rokkodai, Nada, Kobe, 657-8501, Japan


36 2 Graduate School of Science, Osaka Metropolitan University, 2000, Kisaichi, Katano-shi, Osaka, 576-0004, Japan


37 3 Institute of Molecular Biology, National Chung Hsing University, 145 Xingda Rd., South Dist., Taichung 40227,


38 Taiwan


39 4 Exo-Life Search Project Office, Astrobiology Center, National Institutes of Natural Sciences (NINS), 2-21-1 Osawa,


40 Mitaka, Tokyo 181-8588, Japan


41 5 Laboratory for Chemistry and Life Science, Institute of Integrated Research, Institute of Science Tokyo, 4259


42 Nagatsuta-cho, Midori-ku, Yokohama, Kanagawa 226-8501, Japan


43 *Corresponding authors: terashimaichiro@nchu.edu.tw


44 &#91;konom07@bs.s.u-tokyo.ac.jp&#93;(mailto:konom07@bs.s.u-tokyo.ac.jp)


45


46


47


48 ORCID


49 Ko Takeuchi https://orcid.org/0009-0008-6810-5331


50 Riichi Oguchi https://orcid.org/0000-0003-1845-1558


51 Kazuhiko Sugimoto


52 Ichiro Terashima https://orcid.org/0000-0001-7680-9867


53 Masaru Kono https://orcid.org/0009-0000-6927-8930


54


55


56


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57 **PSI photoinhibition and protection at low temperatures and in fluctuating light: An**
58 **ecophysiological vista**


59

60 **Abstract**


61 In green leaves _in vivo_, photosystem I (PSI) was thought to be resistant to photoinhibition. In 1994, it was found that,
62 in chilling-sensitive plants such as cucumber ( _Cucumis sativus_ L.), exposing leaves to moderate constant light at
63 temperatures below 10 °C induces PSI photoinhibition with little effect on PSII. Since the beginning of this century,
64 PSI photoinhibition induced by fluctuating light (alternating high and low light, FL) or repetitive saturating pulses
65 (rSPs) has been reported in many species. In this review, we compare the causes and consequences of PSI
66 photoinhibition in cucumber at chilling temperatures with those of PSI photoinhibition induced by FL or rSPs.
67 Changes in chloroplasts during these photoinhibitory treatments are followed, focusing on where and how reactive
68 oxygen species are produced and which parts of PSI are damaged. We also discuss the roles of two pathways of cyclic
69 electron flow around PSI, the NDH and PGR5/PGRL1 pathways, particularly in suppression of PSI photoinhibition.
70 Lastly, we discuss problems with methods for measuring PSI parameters and future research directions from an
71 ecophysiological viewpoint.
72

73 **Keywords** Cyclic electron flow · NDH pathway · PGR5/PGRL1 pathway · Proton motive force (pmf)


74

75 **Abbreviations**

76 A 0 primary electron acceptor of PSI (Chl _a_ )
77 A 1 secondary electron acceptor of PSI (phylloquinone)
78 APX ascorbate peroxidase
79 CBB cycle Calvin–Benson–Bassham cycle
80 CEF-PSI cyclic electron flow around PSI
81 CF 1 catalytic portion (coupling factor 1) of the chloroplast ATP synthase
82 Chl chlorophyll
83 Cyt _b_ 6 _f_ cytochrome _b_ 6 _f_ complex
84 DAD 3,6-diaminodurene
85 DCMU 3-(3,4-dichlorophenyl)-1,1-dimethylurea
86 ECS electrochromic shift

87 ETR(I) electron transport rate through PSI
88 F A, F B terminal iron–sulfur clusters of PSI, bound to PsaC

89 Fd ferredoxin

90 Fe–S iron–sulfur

91 FL fluctuating light
92 FLV flavodiiron protein
93 FNR ferredoxin–NADP &#91;+&#93; reductase

94 FR far-red light
95 FTR ferredoxin–thioredoxin reductase

96 F v /F m maximum quantum yield of PSII photochemistry
97 F X iron–sulfur cluster of PSI, bound to PsaA and PsaB
98 _g_ H &#91;+&#93; proton conductivity of the thylakoid ATP synthase
99 HL high light
100 _K_ pi rate constant of PSI photoinhibition
101 _K_ pi / _I_ rate constant of PSI photoinhibition divided by irradiance
102 LED light-emitting diode
103 LHCI light-harvesting complex I
104 LL low light


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105 MV methyl viologen
106 NDH chloroplast NADH dehydrogenase-like complex
107 NPQ non-photochemical quenching of chlorophyll fluorescence
108 NTRC NADPH-dependent thioredoxin reductase C

109 1 O 2 singlet oxygen
110 O 2 &#91;•&#93; ⁻ superoxide radical anion
111 P700 reaction center chlorophyll of PSI
112 PAR photosynthetically active radiation
113 PC plastocyanin
114 PGR5 PROTON GRADIENT REGULATION 5

115 PGRL1 PGR5-LIKE PHOTOSYNTHETIC PHENOTYPE 1

116 PIFR post-illumination fluorescence rise
117 P m maximum amount of photooxidizable P700
118 pmf proton motive force
119 PQ plastoquinone
120 PQH 2 plastoquinol
121 PSI photosystem I
122 PSII photosystem II
123 PTOX plastid terminal oxidase
124 RISE reduction-induced suppression of electron flow
125 ROS reactive oxygen species
126 rSPs repetitive saturating pulses
127 SOD superoxide dismutase
128 SP saturating pulse
129 Trx thioredoxin

130 WT wild type
131 Y(I) quantum yield of PSI photochemistry
132 Y(II) effective quantum yield of PSII photochemistry
133 Y(NA) quantum yield of non-photochemical energy dissipation due to acceptor-side limitation of PSI
134 Y(ND) quantum yield of non-photochemical energy dissipation due to donor-side limitation of PSI
135 Y(NO) quantum yield of non-regulated energy dissipation in PSII
136 Y(NPQ) quantum yield of regulated non-photochemical energy dissipation in PSII
137 Δ _E_ h difference in redox potential between the electron acceptor (PQ) and donor (Fd) of NDH
138 Δ _p_ proton motive force expressed in mV
139 ΔpH pH difference across the thylakoid membrane
140 ΔΨ membrane potential across the thylakoid membrane
141


142


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143 **Introduction**


144 Photosystem I (PSI) is a plastocyanin/ferredoxin photooxidoreductase. The core complex is formed as a p seudo145 homodimer (PsaA and PsaB) having a reaction center chlorophyll dimer (Chl _a_ and Chl _a_ ’). Each of PsaB and PsaA
146 has cofactors, namely Trp, three Chl _a_ molecules including (A 0 ), and phylloquinone (A 1 ). Unlike photosystem II
147 (PSII), charge separation occurs on both sides of the pseudo-homodimer. The two routes merge at the iron sulfur
148 center F X sandwiched between the PsaA and PsaB proteins, while F A and F B are cofactors in the subunit PsaC protein
149 (Rutherford et al. 2012). PSI reduces ferredoxin (Fd) and thereby provides reducing power for carbon assimilation
150 and other metabolic processes.
151 Although there were pioneering studies showing photoinhibition of PSI _in vitro_ (Inoue et al. 1986, 1989; Satoh
152 1970a, b, c), there were few studies showing PSI photoinhibition _in vivo_ (Öquist et al. 1987; Powles 1984) until 1994.
153 After the discovery that PSI in a chilling-sensitive plant, _Cucumis sativus_ L. (cucumber), is readily damaged by
154 moderate constant light when the leaf temperature is kept below 10 °C (Terashima et al. 1994), chilling-induced PSI
155 photoinhibition was reported in a wide range of species originating from warm areas.
156 PSI photoinhibition can also be induced by fluctuating light (FL, alternating high light (HL) and low light (LL))
157 (for reviews, see Kono and Terashima 2014; Yamori 2016). Tikkanen et al. (2010) grew several mutant lines of
158 _Arabidopsis thaliana_ (L.) Heynh. in the FL alternating 500/50 µmol photons m &#91;–2&#93; s &#91;–1&#93; for 1 min/5 min for 12 h daytime
159 (500/50 | 1 min/5 min, 12-h photoperiod) and found that the _pgr5_ mutant (the mutant of _PROTON GRADIENT_
160 _REGULATION 5_, a component of the PGR5 cyclic electron flow pathway around PSI, CEF-PSI) died. The lethal
161 phenotype was due to PSI photoinhibition (Suorsa et al. 2012). PSI photoinhibition induced by FL occurs within
162 much shorter periods, not only in the _pgr5_ mutant but also in the wild type. Kono et al. (2014) treated leaves of _A._
163 _thaliana_ with the FL from red LEDs (240/30 | 2 min/2 min | 42 min). It has been also known that treatment of the
164 leaves with repetitive saturating pulses (rSPs) induces remarkable PSI photoinhibition in _A. thaliana_ (Tsuyama and
165 Kobayashi 2009), _Helianthus annuus_ L. (sunflower, Sejima et al. 2014), and _Triticum aestivum_ L. (wheat, Takagi et
166 al. 2019; Zivcak et al. 2015). For example, Sejima et al. (2014) used the regime of (20,000/0 | 300 ms/9.7 s | 240
167 min). Distinction between the FL and rSPs is not clear. In this article, the FL using very strong short pulses (less than
168 1 s duration) are called rSPs according to Sonoike (2025). Because it matters whether the LL phase of FL or rSPs
169 consists of darkness or nonzero low irradiance, we treat these as distinct lighting regimes in § 3.
170 Photodamage to PSI imposes high cost on plants because repair of photodamaged PSI or PSI _de novo_ synthesis
171 is slow and thereby PSI photoinhibition adversely affects plant growth (Amin et al. 2024; Kudoh and Sonoike 2002).
172 To avoid photoinhibition, plants must tightly control the redox state of PSI by balancing electron flows into and out
173 of PSI, and by dissipating excitation energy through safe charge recombination. This protection depends on several
174 coordinated processes, including photosynthetic control and non-photochemical quenching (NPQ), both induced by
175 acidification of the thylakoid lumen, regulation of photosystem II (PSII) activity, alternative electron flow pathways
176 including the Asada (water to water) pathway and two CEF-PSI pathways, the state transitions, spillover of
177 excitations from PSII to PSI, etc.
178 We should also pay attention to light spectra used in the photoinhibition studies. If the FL in natural
179 environments exerted the same effect as the FL from red LEDs, many plants in the field would suffer from
180 photoinhibition. However, in natural environments, it does not appear that many plants suffer from the PSI
181 photoinhibition. In the presence of sufficient far-red light, PSI photoinhibition by the red FL is largely suppressed
182 (Kono et al. 2017, 2020). From an ecophysiological viewpoint as well, the role of far-red light in PSI photoinhibition
183 should be properly recognized.
184 In this article, we review recent progress in the PSI photoinhibition studies in the model chilling-sensitive plant,
185 cucumber, and those using the FL or rSPs. Then, the mechanisms underlying PSI photoinhibition and its
186 photoprotection are argued. In particular, the roles of two CEF-PSI pathways are discussed in detail. Angiosperms
187 have two pathways of cyclic electron flow around PSI that transfer electrons from Fd to the PQ pool: the
188 PGR5/PGRL1-dependent pathway (hereafter PGR5 pathway), which is sensitive to antimycin A, and the NDH189 dependent pathway (hereafter NDH pathway), which is catalyzed by the chloroplast NADH dehydrogenase-like
190 complex (Munekage et al. 2002, 2004; Shikanai 2007; Yamori and Shikanai 2016).
191 We also consider technical problems in measurements of PSI parameters. In stress physiology studies,


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192 researchers often expose plants to drastic and unrealistic stress conditions. Although plants respond to such treatments
193 and we are fully aware that such studies often deepen our knowledge of plant biological machinery, the plant
194 responses in such studies should be interpreted with caution. We also have to seek ecological realism, because plant
195 biological machinery has been mostly shaped by natural selection occurring in natural environments. The contents
196 of this review are as follows:

197

198 1.  PSI photoinhibition in cucumber, the chilling-sensitive model plant.
199 2.  PSI photoinhibition in the fluctuating light and repetitive saturating pulses.
200 3.  Meta-analyses of PSI photoinhibition studies
201 4.  How do plants protect PSI?
202 5.  Roles of NDH and PGR5/PGRL1 in protection from PSI photoinhibition
203 6.  ROS: their generation and scavenging
204 7.  Roles of far-red light and allocation of excitation between PSI and PSII
205 8.  Technical problems in quantification of PSI parameters.
206 9.  Future directions in PSI photoinhibition research


207


208 **1. PSI photoinhibition in cucumber, the chilling-sensitive model plant.**


209 **1.1 Chilling stress inhibits photosystem I.**


210 In 1994, it was found that illuminating cucumber leaves with weak light at temperatures below 10 °C decreased the
211 quantum yield of PSI with little effect on PSII (Sonoike and Terashima 1994; Terashima et al. 1994). This
212 phenomenon was not observed under anaerobic conditions or in darkness, indicating that it is oxidative damage
213 requiring both light and oxygen (Bukhov et al. 2004; Sonoike 1996b; Terashima et al. 1998). By 2002, studies using
214 cucumber as a model had shown that chilling weakens association of CF 1 of the thylakoid ATP synthase with the
215 thylakoid membrane, thereby impairing ΔpH formation and photosynthetic control (Peeler and Naylor 1988;
216 Terashima et al. 1989, 1991a, b); degrades the PSI core protein PsaB (Kudoh and Sonoike 2002; Sonoike 1996a;
217 Sonoike and Terashima 1994; Sonoike et al. 1997); and damages the F A /F B and F X Fe–S clusters (Sonoike et al. 1995).
218 More recently, Takeuchi, Ifuku, and their colleagues demonstrated that destabilization of the PSI–NDH supercomplex
219 and PSI over-reduction occur at an early stage of light treatment at chilling temperatures in cucumber (Takeuchi et
220 al. 2022, 2025a, 2026).
221 After its discovery in cucumber, chilling-induced PSI photoinhibition was reported in a wide range of species,
222 including _Solanum lycopersicum_ L. (tomato), _Oryza sativa_ L. (rice), _Zea mays_ L. (maize), _Gossypium hirsutum_ L.
223 (cotton), _Saccharum officinarum_ L. (sugarcane), _Secale cereale_ L. (rye) etc. (Chen et al. 2024; Govindachary et al.
224 2004; Ivanov et al. 1998; Kornyeyev et al. 2003; Takeuchi et al. 2026; Tjus et al. 1999; Zhang Y et al. 2025). Except
225 for rye, these plants all originate from warm-climate regions.


226


227 **1.2 How is PSI photoinhibited?**


228 PSI photoinhibition is not an immediate consequence of exposing leaves to low temperatures. Instead, it develops
229 gradually as chilling weakens the array of mechanisms that protect PSI. The key to understanding this process is to
230 determine the sequence of events leading to PSI photoinhibition. The time course outlined below is based primarily
231 on studies of cucumber leaves chilled at 4 °C under irradiances of 100–250 µmol photons m⁻ &#91;2&#93; s⁻ &#91;1 &#93; (400-700 nm). The
232 timing of individual events varies with plant species or varieties, leaf age, temperature, and the irradiance level.
233

234 **Phase 1 (&lt;30 min).** Immediately upon exposure to chilling treatment, the Calvin-Benson-Bassham (CBB) cycle,
235 photorespiration, and other metabolic processes that consume reducing power downstream of PSI slow down (Zhou
236 et al. 2007). As NADP⁺ regeneration slows, oxidation of Fd by ferredoxin–NADP⁺ reductase (FNR) becomes


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237 restricted. Irreversible PSI photoinhibition is not yet detectable, but transient over-reduction of the electron transfer
238 chain can promote reactive oxygen species (ROS) formation. ROS generated within PSI are normally scavenged by
239 the Asada cycle (water-water cycle) (Asada 1999; Miyake 2010; Miyake and Asada 1992; Miyake et al. 1998). At
240 low temperatures, however, the activity of thylakoid-bound ascorbate peroxidase (APX) decreases markedly
241 (Terashima et al. 1998), limiting the capacity for ROS scavenging. Insufficient scavenging during this early phase


–
242 may contribute to the destabilization of the chloroplast H⁺-ATP synthase and PSI NDH supercomplex observed in


243 Phase 2.

244 In parallel with these early metabolic and redox responses, the physical state of the thylakoid membrane may
245 also change. The phase transition temperature of polar lipids extracted from cucumber thylakoids is approximately
246 10 °C (Hodgson et al. 1987; Orr and Raison 1987, 1990). Notably, this transition temperature is strikingly close to
247 the approximately 10 °C threshold below which photoinhibition occurs in intact cucumber leaves (Hodgson et al.
248 1987; Sonoike 2011; Terashima et al. 1994). Cucumber thylakoids also show lower lipid fluidity and a larger fraction
249 of ‘motion-restricted lipids associated with proteins’ than thylakoids from _Pisum sativum_ L., a chilling tolerant
250 species (Li et al. 1990). Exposure to temperatures below the transition may therefore rapidly reduce local membrane
251 fluidity and affect lipid–protein interactions involved in the regulation of photosynthetic electron transport and P700
252 oxidation. However, no study has directly examined both the membrane phase transition and PSI photoinhibition
253 under the same experimental conditions. Thus, it remains unclear whether thylakoid lipid properties contribute to PSI
254 photoinhibition in cucumber. Despite this uncertainty, changes in thylakoid membrane fluidity would contribute, at


–
255 least in part, to the destabilization of the thylakoid ATP synthase and PSI NDH supercomplex observed in Phase 2.


256

257 **Phase 2 (30 min to 2 h).** Between 30 min and 2 h of chilling in the light, the CF 1 sector of the thylakoid ATP synthase
258 becomes more loosely associated with the thylakoid membrane, potentially weakening the coupling between proton
259 translocation and ATP synthesis (see § 1.3). This impairs the formation and maintenance of ΔpH across the thylakoid
260 membrane, thereby weakening both NPQ and photosynthetic control. Electron flow from PSII to PSI consequently
261 continues even though the CBB cycle is suppressed. During the same period, NDH activity also declines (see § 1.3).
262 By accepting electrons from reduced Fd and returning them to the PQ pool, NDH provides a route for Fd oxidation
263 and can relieve acceptor-side over-reduction when photosynthetic control is weakened. Destabilization of the PSI–
264 NDH supercomplex within the first hour of chilling, however, abolishes NDH activity and eliminates this route.
265 Taken together, loose association of thylakoid ATP synthase and NDH inactivation allow the transient PSI over266 reduction observed in Phase 1 to become enhanced.

267

268 **Phase 3 (2–5 h).** At this stage, the P700 oxidation capacity substantially decreases, as indicated by decreased Y(ND),
269 and reduced Fd accumulates. This persistent PSI acceptor side over-reduction accelerates ROS production within PSI
270 and promotes irreversible PSI photoinhibition. The maximum amount of photooxidizable P700 (P m ) decreases
271 markedly while the maximum quantum yield of PSII photochemistry (F v /F m ) is relatively well maintained, indicating
272 preferential photoinhibition of PSI. Pronounced damage to the Fe–S clusters and degradation of core proteins such
273 as PsaB are also observed. Once this stage is reached, subsequent plant growth is severely inhibited. With further
274 chilling, the loss of PSI activity restricts electron transport downstream of PSII, eventually causing F v /F m to decline
275 markedly.
276 Taken together, chilling-induced PSI photoinhibition proceeds in the following sequence (Fig. 1): (1) reduced
277 electron consumption by enzymatic reactions and a decrease in thylakoid membrane fluidity; (2) transient over278 reduction of the PSI acceptor side and ROS production; (3) weakened association of CF 1 of the ATP synthase with
279 the thylakoid membrane and destabilization of the PSI–NDH supercomplex; (4) impairment of photosynthetic control
280 and Fd oxidation capacity; and (5) persistent PSI over-reduction and damage to the Fe–S clusters and PSI reaction
281 center.


282


283 **1.3 Dysfunction of protection mechanisms against chilling-induced PSI photoinhibition.**


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284 **Donor-side.** Damage to the thylakoid ATP synthase is a key event in the early progression of chilling-induced PSI
285 photoinhibition. When chilling-sensitive cucumber leaves were illuminated at low temperatures, the association of
286 the catalytic portion (CF 1 ) of ATP synthase with the membrane loosened, resulting in uncoupling of ATP synthesis
287 (Terashima et al. 1989, 1991a, b, 1998). Accordingly, when thylakoids were isolated immediately after the treatment
288 of the leaves at chilling temperatures in the light, substantial amounts of CF 1 polypeptides were recovered in the
289 supernatant. Such loose association would leave the CF 0 proton channel open to the stroma, allowing H⁺ to leak from
290 the lumen. This proton leakage impairs formation of the trans-thylakoid pH gradient (ΔpH), thereby weakening ΔpH291 dependent NPQ and photosynthetic control at Cyt _b_ 6 _f_ complex (Kono et al. 2022; Takagi et al. 2017a). Indeed, when
292 cucumber leaves were exposed to 4 °C and 100 µmol photons m⁻² s⁻¹, NPQ formation was markedly suppressed
293 within 60 min after the onset of treatment (Fig. 2). Using the electrochromic shift (ECS) at 515 nm, Kono et al. (2022)
294 showed that proton leakage associated with CF 1 destabilization or dissociation is slower than protonophore-mediated
295 proton transport but sufficiently rapid to impede ΔpH formation. Proton leakage was detectable after only 30 min of
296 chilling and can therefore precede PSI photoinhibition.


297 **Acceptor-side.** A comparative study among cucumber cultivars revealed substantial variation in susceptibility to
298 chilling-induced PSI photoinhibition (Takeuchi et al. 2022). Notably, a chilling-tolerant cucumber cultivar was
299 relatively resistant to PSI photoinhibition despite a decrease in ΔpH (Takeuchi et al. 2025a). This observation points
300 to an important role for acceptor-side pathways in protecting PSI when ΔpH-dependent control is weakened. Takeuchi
301 et al. (2025a) identified NDH activity as the major difference on the PSI acceptor side. NDH is a large thylakoid
302 membrane complex that accepts electrons from reduced Fd and reduces PQ (Ifuku et al. 2011; Shikanai 2016;
303 Shikanai et al. 2025). In land plants, NDH associates with two PSI units through Lhca5 and Lhca6 to form the PSI–
304 NDH supercomplex (Kato et al. 2018b, 2021; Otani et al. 2017, 2018). Fd binds to the subcomplex E (SubE) of the
305 PSI–NDH supercomplex, and electrons pass through three internal Fe–S clusters before reaching PQ (Introini et al.
306 2025; Schuller et al. 2019; Shen et al. 2022; Su et al. 2022). The close association between PSI and NDH may
307 facilitate electron transfer from Fd to NDH. Despite this structural arrangement, the physiological role of NDH in C 3
308 plants remained unclear for many years because NDH-deficient mutants generally show no obvious phenotype under
309 stable growth conditions. We discuss the functions of NDH in C 3 plants in more detail in §§ 2 and 5.
310 In a chilling-sensitive cucumber cultivar, NDH activity was lost within 1 h of chilling treatment (Takeuchi et al.
311 2025a, 2026). This loss was not observed in leaves chilled in the dark, consistent with photooxidative inactivation of
312 PSI–NDH supercomplex (Takeuchi et al. 2026). During chilling in the light, the PSI–NDH supercomplex was
313 destabilized and NDH became monomeric. Because monomeric NDH is inactive (Kato et al. 2018a; Otani et al.
314 2018), maintenance of the PSI–NDH supercomplex during chilling is important for limiting PSI over-reduction and
315 subsequent photoinhibition. It has been further shown that an NDH-deficient rice mutant was more susceptible to
316 chilling-induced PSI photoinhibition than the wild type (Takeuchi et al. 2026). Taken together, these results show
317 that NDH protects PSI in C 3 plants at low temperatures. It is noteworthy that Terashima, Sonoike, and colleagues
318 luckily chose a very chilling-sensitive cultivar ‘Nanshin’ for their studies started in 1990s.
319 How does NDH prevent over-reduction of the PSI acceptor side? NDH accepts and transfers electrons to the PQ
320 pool. At the same time, NDH pumps protons into the lumen (Burnap 2026; Miller et al. 2021; Richardson et al. 2021;
321 Strand et al. 2017). ΔpH thus formed would strengthen photosynthetic control. A highly reduced PQ pool would
322 restrict electron transfer by the reduction-induced suppression of electron flow (RISE) (Shaku et al. 2016; Shimakawa
323 et al. 2018; Tikhonov 2024). NDH contains three internal Fe–S clusters that may act as transient electron sinks and
324 thereby shorten the lifetime of reduced states on the PSI acceptor side (Richardson et al. 2021). The physiological
325 importance of NDH during chilling is supported by the reports that NDH abundance increases under chilling in the
326 light (Teicher et al. 2000) and that reduced NDH activity in maize is associated with lower chilling tolerance
327 (Urzinger _et al._ 2025). However, large ΔpH and highly reduced PQ pool could suppress NDH activity (Strand et al.
328 2017). We will discuss regulation of NDH activity in §§ 5.1 and 5.3.
329 The importance of relieving acceptor-side reduction is further illustrated by flavodiiron proteins (FLVs). FLV
330 provides a terminal electron sink by transferring electrons to O 2 and reducing it to water. Rice plants expressing FLV
331 are highly resistant to chilling-induced PSI photoinhibition (Takeuchi et al. 2026). Conifers such as _Pinus sylvestris_
332 L. (Scots pine) and _Picea abies_ (L.) Karst. (Norway spruce) have lost chloroplast NDH during evolution and instead


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333 rely on FLV to mitigate early-spring chilling damage (Bag et al. 2023; Wakasugi et al. 1994). These observations
334 suggest that NDH and FLV provide biochemically distinct but functionally overlapping routes for protecting PSI
335 during chilling stress. Concerning another CEF-PSI pathway involving PGR5/PGRL1, which is widely regarded as
336 more active than NDH in C₃ plants (Yamori and Shikanai 2016), information on its role in PSI photoinhibition at low
337 temperatures is scarce.


338


339 **2. PSI photoinhibition in the fluctuating light and repetitive saturating pulses.**


340 Fluctuating light (FL) and repetitive saturating pulses (rSPs) have been used to clarify the mechanisms underlying
341 PSI photoinhibition and the mechanisms that protect PSI against photoinhibition. PGR5- and NDH-pathways both
342 generate proton motive force (pmf) without net production of NADPH, and both have been linked to the protection
343 of PSI from photoinhibition. However, there are contrasting views on which pathway is more important.
344 In the paper that first reported the _A. thaliana pgr5_ mutant, the plants grown at 50 µmol photons m⁻² s⁻¹ were
345 used. When the plants were exposed to a constant HL of 1,500 µmol photons m⁻² s⁻¹ for 10 min, up to 60% of PSI
346 was damaged in _pgr5_, whereas less than 10% was damaged in WT (Munekage et al. 2002). This pioneering study
347 showed that PSI in the _pgr5_ mutant is susceptible to photoinhibition, although the _pgr5_ mutant does not show a
348 marked phenotype when grown in constant light.
349 When _A. thaliana pgr5_ seedlings were grown in white fluctuating light (FL) alternating between 500 µmol
350 photons m⁻² s⁻¹ for 1 min and 50 µmol photons m⁻² s⁻¹ for 5 min (500/50 | 1 min/5 min), they died due to PSI
351 photoinhibition, whereas the WT and _ndho_, an NDH mutant, showed no visible phenotype (Suorsa et al. 2012). PSI
352 photoinhibition occurs in milder FL treatments for much shorter periods. In the red FL for only 42 min (240/30 | 2
353 min/2 min | 42 min), P m decreased to 89% in the wild type (WT) and 62% in _pgr5_, whereas in _crr2-2_, an NDH mutant,
354 the decrease in P m was comparable to that in WT (Kono et al. 2014). In the harsher red FL (1,200/30 | 2 min/2 min |
355 162 min), P m decreased to 70% in WT, 20% in _pgr5_ and 60% in _crr2-2_ (Kono and Terashima 2016). These results
356 clearly indicate that PSI is readily photoinhibited by FL and that PGR5 is the main actor in suppression of PSI
357 photoinhibition. When _Oryza sativa_ L. WT and mutants grown at 28 °C were treated with the FL (1,500/200 | 10
358 min/10 min | 5 h), P m decreased to 81%, 61% and 33% of the initial levels in WT, _crr6_ (an NDH mutant) and PGR5359 knockdown lines, respectively (Yamori et al. 2016), indicating that PGR5 contributes to protection much more than
360 NDH.

361 When far-red light (FR, peaking at 740 nm, 25.6 W m⁻²) was added to both HL and LL phases of the red FL
362 regime (1,200/30 | 800 ms/10 s | 120 min), the conclusion reversed. Without FR, P m declined to 70% in all genotypes,
363 whereas with FR in both phases, P m in WT and _pgr5_ remained at 97% and 92% of the initial level, and P m in _crr2-2_
364 and _crr4-3_, NDH mutants, declined to 80% (Kono et al. 2017). With FR, therefore, PSI protection depended on the
365 NDH pathway rather than on the PGR5 pathway. Similar results were obtained in the tobacco ( _Nicotiana tabacum_
366 L.) _ndhB_ -disrupted line and in the rice _crr6_ line in the FL with a HL phase of 2,000 µmol photons m⁻² s⁻¹: FR protected
367 PSI in WT, but the protection was weaker in the NDH-deficient lines (M. Kono, unpublished data).
368 In rice lines grown at a low temperature of 20 °C, the NDH-deficient mutant _crr6_ showed lower ETR(I), CO₂
369 assimilation rate and relative growth rate than WT. When grown at 28 or 35 °C, the growth of _crr6_ was similar to
370 that of WT, but ETR(I) and CO₂ assimilation rate were still lower below the growth irradiance, 800 µmol photons
371 m⁻² s⁻¹ (Yamori et al. 2011). A recent comprehensive study by Kodama and Yamori (2026) using rice WT and _crr6_,
372 grown in the field, showed that NDH deficiency markedly decreases ETR(I) and CO₂ assimilation rate, at low
373 temperatures and/or in low irradiances. In the liverwort _Marchantia polymorpha_ L., disruption of _ndhB_ increased the
374 reduction state of the PQ pool at low irradiances (Ueda et al. 2012), probably due to PSI acceptor-side limitation.
375 As already discussed, NDH plays a crucial role in the protection of PSI at low temperatures (§ 1). Taken together,
376 NDH is important at low temperatures, at low irradiances, and in FL in the presence of FR, whereas PGR5 functions
377 in ordinary HL and in FL of high irradiances with no FR supplementary light.


378


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379 **3. Meta-analyses of PSI photoinhibition studies.**


380 The number of studies on PSI photoinhibition has been increasing since the 1990s. Recently, studies examining the
381 effects of fluctuating-light or intermittent strong light, and those using the mutants related to CEF-PSI have been
382 increasing. These studies have used various plant species. To conduct meta-analysis and discuss the effects of
383 photoinhibitory conditions on the rate of PSI photoinhibition, we collected data from 107 experiments from 32 papers
384 (Table S1). In photoinhibition studies, the extent of photoinhibition is related both to the photon-exposure (fluence)
385 and to the irradiance level (fluence rate) (Kornyeyev et al. 2003; Oguchi et al. 2021), although this approach may not
386 be simply applicable to the FL or rSPs regimes. Since the repair process of PSI is slow, we may neglect the repair
387 process. Using the equation proposed by Kok (1956), the rate of PSI photoinhibition is described by a simple
388 differential equation:
389

390 d _a_ /d _t_ = - _K_ pi - _a_ ( _t_ )
391

392 where _a_ ( _t_ ) is the active fraction of PSI reaction centers and _K_ pi is the rate constant for PSI photoinhibition. This is
393 readily solved:
394

395 _a_ ( _t_ ) = _a_ (0)·exp (- _K_ pi - _t_ )
396

397 With _I_ and X, denoting irradiance (fluence rate) in mol m &#91;-2&#93; s &#91;-1&#93; and photon-exposure (fluence) in mol m &#91;-2&#93;, respectively,
398 the solution can be expressed as:
399

400 Y = exp&#91;-( _K_ pi / _I_ ) ·X&#93;
401

402 where Y is the ratio of PSI activity at the end of photoinhibitory treatment to that before the treatment. The ratio of
403 P m after the photoinhibition treatment to that before the treatment can also be used as Y. _K_ pi / _I_ in mol &#91;-1&#93; m &#91;2&#93; is the
404 coefficient of PSI photoinhibition, which is a useful parameter to consider the effect of irradiance and fluence (Table
405 S1; Oguchi et al. 2009; Tyystjärvi and Aro 1996).
406 Light at very high irradiances would give damage to PSI in a manner different from light at moderate irradiances
407 (see § 6; Shimakawa et al. 2024; Sonoike 2025), thus we divided the categories of the FL and intermittent pulses
408 based on whether the irradiance was below or above 10,000 µmol photons m &#91;-2&#93; s &#91;-1&#93; . It has also been suggested that the
409 LL phase of the FL regime affects the extent of PSI photoinhibition, particularly depending on whether this phase is
410 darkness or low light (Kono et al. 2017; Sejima et al. 2014). Therefore, we also divided the category of FL and flashes
411 depending on whether the LL phase was actual LL or darkness. Intermittent HL/pulses denote that the HLs or
412 saturating pulses were given with no background light. We group the experimental conditions into 8 categories.
413

414 1. isolated thylakoids, constant light
415 2. leaves, at chilling temperatures, constant light
416 3. leaves, at moderate temperatures, constant light
417 4. leaves of _A. thaliana pgr5_, at moderate temperatures, constant light
418 5. leaves, FL (&lt; 10,000 µmol photons m &#91;-2&#93; s &#91;-1&#93; )
419 6. leaves, intermittent HL/pulses (&lt; 10,000 µmol photons m &#91;-2&#93; s &#91;-1&#93; )
420 7. leaves, FL (≥ 10,000 µmol photons m &#91;-2&#93; s &#91;-1&#93; )
421 8. leaves, intermittent HL/pulses (≥ 10,000 µmol photons m &#91;-2&#93; s &#91;-1&#93; )
422

423 In early studies of PSI photoinhibition, isolated thylakoids were usually treated with constant light. Although _K_ pi / _I_
424 varied widely among these studies, its mean value was higher than that obtained for leaves exposed to constant light
425 at chilling temperatures (1 _vs_ . 2 in Fig. 3a). The _K_ pi / _I_ of the leaves photoinhibited at room temperature in constant
426 light was very low, although not zero, and was significantly lower than that of leaves photoinhibited at chilling
427 temperatures (3 _vs_ . 2). Even in the constant light, _K_ pi / _I_ in the leaves of _pgr5_ (the mutant of PGR5/PGRL1 CEF-PSI)


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428 were higher than WT plants (3 _vs_ . 4, because the number of reports with _pgr5_ mutant is small, the difference is not
429 statistically significant). In these experiments, _pgr5-1_ was used. It should be noted that _pgr5-1_ also carries another
430 mutation, which enhances the phenotype (Wada et al. 2021).
431 When the irradiance in the HL was lower than 10,000 µmol photons m &#91;-2&#93; s &#91;-1&#93;, the _K_ pi / _I_ of leaf samples was
432 significantly higher than that of leaf samples photoinhibited in constant light, both in the FL and intermittent HL/pulse
433 regimes (3 vs. 5, and 3 vs. 6). The difference between the FL and intermittent HL/pulse regimes was not clear (5 _vs_ .
434 6). When the irradiance of HL/pulse was 10,000 µmol photons m &#91;-2&#93; s &#91;-1&#93; or higher, the _K_ pi / _I_ of leaves in the FL regime
435 with actual LL was not higher than that of leaves in constant light, whereas leaves in the intermittent HL/pulse showed
436 higher but highly variable _K_ pi / _I_ values (category 3 _vs_ . 7, and category 3 _vs_ . 8). The large variation among the reported
437 values and the limited number of data points in very HL/pulse may have prevented the detection of a statistically
438 significant difference. To see the effect of very high HL/pulse on _K_ pi / _I_ of PSI, increment of the number of future
439 studies under the same conditions would be necessary. We should note that the _K_ pi / _I_ and the extent of PSI
440 photoinhibition can be also affected by differences in leaf traits, including leaf thickness and chlorophyll content per
441 leaf area, among material species and growth environments, as the extent of PSII photoinhibition shows a gradient
442 in a leaf and is influenced by leaf thickness and Chl content per leaf area (Oguchi et al. 2011; Pätsikkä et al. 2002).
443 As shown in the boxplot, _K_ pi / _I_ of PSI varies considerably among studies conducted in the FL or intermittent
444 HL/pulse regime, which may be attributable to differences in the redox state around PSI during the exposure. The
445 variation of redox state around PSI can be caused by different conditions among the photoinhibition experiments and
446 by different materials. As already mentioned, suppression of the electron flow from PSII to PSI and the increment of
447 the proportion of oxidized P700 (P700 &#91;+&#93; ) are important to reduce the extent of PSI photoinhibition (Shimakawa and
448 Miyake 2018; Sonoike 2011; Sonoike and Terashima 1994; Terashima et al. 1994; Trissl 1997), therefore we plotted
449 the relationship between the proportion of P700 &#91;+&#93; to total P700 (Y(ND)) and the _K_ pi / _I_ of PSI, using data from the
450 meta-analysis (Fig. 3b). We only used the data from reports, which measured P700 &#91;+&#93; during the HL phase of
451 fluctuating or intermittent-light conditions. The negative correlation between Y(ND) and the _K_ pi / _I_ of PSI would
452 support the suggestion that keeping higher Y(ND) in fluctuating-light conditions is important to reduce the extent of
453 PSI photoinhibition.
454 In his recent review, Sonoike (2025) claims that, although an increase in &#91;P700 &#91;+&#93; &#93; or Y(ND) is a necessary
455 condition for protection of PSI, oxidation of the acceptor side, or the decrease in Y(NA), is essential for PSI protection
456 (see §§ 4 and 5). Although the studies in which Y(NA) was measured during the HL phase are few, we plotted such
457 data (Fig. 3c). Although the data points are not many, we may see the trend indicating that _K_ pi / _I_ is inversely related
458 to Y(NA).
459 A recent paper by Tanigawa et al. (2026) is worth mentioning here. They used _A. thaliana_ overexpression lines
460 of PGR5. When they grew these lines in a moderate FL regime, growth of the 2X over-expressor outcompeted WT
461 and the over-expressors with more PGR5, indicating that maintaining an appropriate level of PGR5 is important for
462 efficient photosynthetic regulation in white FL.


463


464 **4. How do plants protect PSI?**


465 Studies in cucumber have revealed how chilling-induced PSI photoinhibition develops. Chilling-tolerant plants, by
466 contrast, retain mechanisms that limit electron flow into PSI and relieve over-reduction of its acceptor side (Kono et
467 al. 2022; Miyake 2020). How plants protect PSI from photoinhibition induced by chilling temperatures, FL and rSPs
468 is discussed below.

469

470 **4.1 Photosynthetic control.**


471 The decreased capacity to regenerate NADP⁺ and the decline in ATP consumption under chilling stress lead to
472 acidification of the thylakoid lumen. This restricts PQH 2 oxidation at the Cyt _b_ 6 _f_ complex and thereby suppresses
473 electron flow into PSI. This ΔpH-dependent restriction of electron flow at the Cyt _b_ 6 _f_ complex is known as the
474 photosynthetic control (see Degen and Johnson 2024 for a recent review). Lumen acidification also promotes NPQ,


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475 further decreasing electron flow into PSI. In cucumber, however, uncoupling of the thylakoid ATP synthase dissipates
476 ΔpH and weakens both photosynthetic control and NPQ.
477

478 **4.2 Suppression of the electron flow to PSI.**


479 PSII has a greater repair capacity than PSI. Under various environmental stresses, PSII photoinhibition occurs first,
480 limiting electron flow from PSII to PSI and protecting PSI (Ivanov et al. 1998; Kim et al. 2005; Lima‐Melo et al.
481 2019; Messant et al. 2024; Napaumpaiporn et al. 2024; Obara et al. 2023; Ozawa et al. 2024; Sonoike 1996b;
482 Takeuchi et al. 2025b; Tikkanen et al. 2014; Zhang Z et al. 2016). As has been discussed in § 1.2, this is not the case
483 in cucumber. PSII photoinhibition appears to be a sacrificial defense, although it is difficult to prove. In the chilling484 tolerant plant _A. thaliana,_ exposure to chilling in the light induced PSII photoinhibition, as indicated by a decrease
485 in F v /F m, whereas P m was maintained. By varying the duration of chilling treatment, Takeuchi et al. (2025b) obtained
486 _Arabidopsis_ plants with F v /F m values ranging from approximately 0.2 to 0.8 and subsequently exposed them to rSPs
487 that induce PSI photoinhibition. Plants with lower initial F v /F m maintained P700 in a more oxidized state during the
488 SPs and showed a slower decline in PSI activity. F v /F m before the pulse treatment was strongly correlated with
489 susceptibility to PSI photoinhibition ( _r_ = 0.97) (Takeuchi et al. 2025b). Thus, PSII photoinhibition protects PSI. Even
490 in the plants in which PSII photoinhibition maintained P700 in an oxidized state, however, Fd became reduced during
491 the SPs. Steady-state oxidation of P700 alone therefore cannot completely prevent acceptor-side reduction during
492 intense excitation. Nevertheless, reoxidation of Fd after each short pulse was faster in plants that had undergone PSII
493 photoinhibition. Faster Fd reoxidation indicates that electrons were removed more efficiently from the PSI acceptor
494 side in plants in which PSII was photoinhibited. By keeping the PQ pool relatively oxidized, PSII photoinhibition
495 may also favor CEF-PSI and thereby contribute to rapid Fd reoxidation (Allen 2003; Satoh et al. 2025).
496 We have dealt with several examples in § 2. However, is susceptibility of PSI to red FL a general phenomenon?
497 PSI photoinhibition was indeed readily induced by FL from red LEDs in most of the plants we tested (Kono et al.
498 2017), whereas _Alocasia odora_ (Lodd.) Spach, a shade-tolerant plant, showed considerable resistance. Among the _A._
499 _odora_ plants grown at several different irradiances, the plants grown at the lowest irradiance, 10 µmol photons m⁻²
500 s⁻¹, were most resistant to fluctuating-light-induced PSI photoinhibition. Their leaves showed the highest Chl content
501 per leaf area (Chl area ) and P700 area and the lowest Cyt _f_ /Chl and Cyt _f_ /P700. The electron flow rate per P700 was
502 lowest in such leaves (Terashima et al. 2021). On the other hand, concerning PSII photoinhibition per se, it is
503 established that high light-grown leaves are more resistant (Anderson and Aro 1993; Miyata et al. 2012, 2015; Öquist
504 et al. 1987), although there are some exceptions (Öquist et al. 1992).
505 Kono et al. (2025) investigated PSI tolerance in the leaves from transgenic tobacco ( _Nicotiana tabacum_ L _._ ) lines
506 with varying Cyt _b_ 6 _f_ levels and found that a marked reduction in Cyt _b_ 6 _f_ levels conferred substantial PSI
507 photoprotection against the FL‐induced PSI damage, even under extremely high light pulses. In such leaves of low
508 levels of Cyt _b_ 6 _f_, however, the PSII quantum yield, Y(II), was lowest, indicating a trade-off between PSI
509 photoprotection and overall photosynthetic productivity.
510 Taken together, suppression of the electron transport flow to PSI is effective in alleviating PSI photoinhibition.
511 The decrease in the content of Cyt _b_ 6 _f_ per Chl with the decrease in the growth irradiance has been long known
512 (Anderson 1986; Boardman 1977; Hikosaka and Terashima 1995; Schöttler and Tóth 2014). P700/Chl in these reports
513 were rather stable in most of the experiments. In natural environment, the decrease in irradiance in most cases occurs
514 due to vegetation cover. In such cases, the fraction of far-red light increases with decreasing irradiance. The effects
515 of an increased fraction of far-red light on thylakoid composition have been examined in a few studies (Chow et al.
516 1990; Ibrahim et al. 2022; Tullberg et al. 2000). In these studies, however, P700/Chl decreased with far-red light
517 enrichment. Since Cyt _f_ /P700 increased in such plants, the electron flow to PSI would not be suppressed sufficiently.
518 Alternatively, abundant far-red light in natural environment could still protect PSI. More ecophysiology-oriented
519 studies are needed in this research field.

520


521 **4.3 Flavodiiron proteins (FLVs).**


522 Using electrons from Fd, FLV reduces O 2 to water. Conifers use FLV to prevent photoinhibition at low temperatures


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523 in early-spring (Bag et al. 2023), whereas angiosperms have lost FLVs. For FLV-expressing rice plants at low
524 temperature, see § 1.3. Yamamoto et al. (2016) expressed FLV in _A. thaliana_ WT and _pgr5_ mutant. FLV expression
525 significantly increased rates of pseudo-CEF in the mutant plants, particularly at high light intensities, and partially
526 restored the photosynthetic phenotype. In WT plants, FLV did not compete with PGR5-dependent CEF. Wada et al.
527 (2018) expressed FLV in rice single mutant of PGR5, that of NDH, and a double mutant, and exposed these lines to
528 the FL and found that PSI photoinhibition was not detected in any of these lines.


529


530 **5. Roles of NDH and PGR5/PGRL1 in protection from PSI photoinhibition.**


531 As already detailed in § 1, NDH transfers electrons from reduced Fd to the PQ pool rather than passing them to O 2
532 as FLVs do (Richardson et al. 2021; Takeuchi et al. 2025a, 2026). NDH also limits acceptor-side over-reduction.
533 Although PGR5 contributes to proton motive force formation and photosynthetic control, direct evidence that PGR5
534 or PGRL1 prevents chilling-induced PSI photoinhibition is lacking. On the other hand, in the PSI photoinhibition
535 studies using FL and rSPs, the roles of these two pathways have been compared.
536


537 **5.1 Differences between the two CEF-PSI pathways.**


538 Although both NDH and PGR5 transfer electrons from Fd to the PQ pool, they play different roles. Table 1
539 summarizes their properties.


540 **Abundance and velocity.** In _A. thaliana_, the NDH complex is present at 0.02 copies per PSI, compared with 0.07
541 for PGR5 (Ermakova et al. 2024a). Assuming a turnover similar to that of respiratory complex I (approximately 200
542 electrons s⁻¹; Strand et al. 2017), an NDH content of 0.05 per PSI, as reported for tobacco (Strand et al. 2017), would
543 support a cyclic flux of approximately 10 electrons s⁻¹ per PSI, and the lower content of 0.02 per PSI in _A. thaliana_
544 approximately 4 electrons s⁻¹ per PSI. The direct Fd–Cyt _b_ ₆ _f_ route, reported for _Chlamydomonas reinhardtii_
545 P.A.Dang., is the fastest way to recycle electrons, and the NDH-dependent pathway is slower by one to two orders of
546 magnitude (Ermakova et al. 2024a; Nawrocki et al. 2019). In _A. thaliana_ in constant light, the mutants with reduced
547 NDH activity showed only an 8–14% reduction in the light-induced pmf, whereas _pgr5_ showed a 30–47% reduction
548 at irradiances ≥ 138 µmol photons m⁻² s⁻¹ (Wang et al. 2015).


549 **Proton stoichiometry.** The chloroplast NDH complex is a homologue of respiratory complex I. Strand et al. (2017)
550 provided evidence for its proton pumping: coupled thylakoids from _Spinacia oleracea_ L. (spinach) synthesized ATP
551 in the dark when Fd, NADPH and decyl-plastoquinone were supplied, and the ATP synthesis was abolished by
552 uncouplers but insensitive to antimycin A. They estimated a stoichiometry of 2 H⁺ per electron transferred from Fd
553 to PQ (2 H⁺/e⁻). When the Q-cycle at the Cyt _b_ 6 _f_ is included, each electron passing through the NDH pathway deposits
554 4 H⁺ in the lumen (4 H⁺/e⁻), whereas each electron passing through the PGR5 pathway deposits 2 H⁺ (2 H⁺/e⁻). In
555 terms of ATP production, the NDH pathway would therefore produce twice as much ATP per electron (Ermakova et
556 al. 2024a; Strand et al. 2017). PGR5/PGRL1 has no known proton-pumping module, and whether these proteins act
557 as electron carriers is still debated (Ermakova et al. 2024a; see Table S2, row 8).


558 **Regulation by ATP.** Both pathways are inhibited by stromal ATP in a rapid and reversible manner (Fisher et al.
559 2019). The inhibition constants differ: 670 µM for NDH and 240 µM for the antimycin A-sensitive PGR5 pathway,
560 both within the physiological range. Because the inhibition of NDH is only partially competitive, NDH retains some
561 activity even when ATP is high, whereas the PGR5 pathway is switched off more completely. These measurements
562 were made in uncoupled thylakoids from spinach, _Amaranthus hybridus_ L. and _A. thaliana_ . The inhibition by ATP is
563 not, however, settled: in an earlier assay of the antimycin A-sensitive Fd–PQ reductase in washed pea thylakoids,
564 ATP and ADP had no effect up to 1 mM, whereas NADPH was inhibitory (Cleland and Bendall 1992). The reason
565 for this difference is not known. This weakens the ATP feedback hypothesis as the explanation for division of their


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566 roles (see Table S2, row 3).


567 **Sensitivity to the proton motive force.** Because NDH pumps protons, it must work against the proton gradient
568 across the thylakoid membrane. The proton motive force, pmf or Δp (in mV), has an electrical component, the
569 membrane potential ΔΨ, and a chemical component, the ΔpH across the thylakoid membrane:


**𝑟**

**𝑚**



               - &#91;𝑅&#93;
∆𝑝𝑝= ΔΨ + 2.3 × 10 &#91;3&#93;


**𝑟**

**𝑚**



570 - &#91;𝑅&#93;

∆𝑝𝑝= ΔΨ + 2.3 × 10 &#91;3&#93;

𝐹𝐹 &#91; · ΔpH&#93;


**𝑟**

**𝑚**



571


**𝑟**

**𝑚**



572 where _R_, _F_ and _T_ are the gas constant, the Faraday constant and the absolute temperature. At 25 °C (298 K), 2.3 ×
573 10³ · ( _RT_ / _F_ ) equals 59 mV. We should also consider Δ _E_ h, the difference in redox potential between the electron
574 acceptor and the electron donor of NDH, that is, between PQ/PQH 2 and Fd ox /Fd red (Δ _E_ h = _E_ h (PQ) − _E_ h (Fd)). The _E_ h
575 of component A is expressed as


**𝑟**

**𝑚**



𝑟

&#91;𝑜&#93;

**𝑟** 𝑟𝑟

**𝑚** 𝐴𝐴



576 h m (A) + 2.3 × 10 &#91;3&#93; - ~~)~~

**𝑟**

**𝑚** &#91; · log (&#93;



577 **𝑟**

**𝑚**



h m (A) + 2.3 × 10 &#91;3&#93; - &#91;𝑅&#93;

𝑚

𝐸𝐸 (A) = 𝐸𝐸 **𝑟**

**𝑚**




&#91;𝑅&#93; &#91;𝐴𝐴&#93; &#91;𝑜&#93;

𝑚 𝑟

**𝑟**

**𝑚** &#91; · log (&#93; 𝐴𝐴



**𝑟**

**𝑚**


578 where _E_ m (A) is the midpoint potential of A, at which &#91;A ox &#93; = &#91;A red &#93;, and _m_ is the number of electrons involved in the
579 redox reaction of A. Δ _E_ h is, therefore, large when Fd is highly reduced and/or the PQ pool is oxidized, and small
580 when Fd is oxidized and/or the PQ pool is reduced. From Δ _E_ h in mV, the energy available per mol of electrons is 10⁻³
581 - Δ _E_ h - _F_ . A pump that moves _n_ protons per electron must spend energy corresponding to _n_ - Δp against the gradient.
582 We therefore call Δ _E_ h − _n_ - Δp the net driving force of NDH. The forward reaction (Fd → PQ) can occur only when
583 the net driving force is positive; when it is zero, the net rate is zero, and when it is negative, the reverse reaction is
584 favored. Strand et al. (2017) used midpoint potentials of −430 mV for Fd and +80 mV for PQ at pH 7.5. With these
585 values and treating PQ as a two-electron couple ( _m_ = 2), Δ _E_ h for 90% reduced Fd and PQ pools is ~ 540 mV (520
586 mV in Strand et al. 2017), so NDH can operate as a 2 H⁺/e⁻ pump against a Δp of 180 mV. However, if Fd equilibrates
587 with NADPH (midpoint −335 mV), or if the PQ pool becomes highly reduced while Δp stays high, the net driving
588 force shrinks and the reaction approaches a standstill (Strand et al. 2017). In thylakoids from spinach and _A. hybridus_,
589 collapsing the pmf with uncouplers doubled both the amplitude and the rate of the NDH-dependent post-illumination
590 fluorescence rise, which is the expected behavior of a pump (Strand et al. 2017). The PGR5 pathway, which pumps
591 no protons of its own, should not be limited in this way. Whether the back pressure of the pmf actually limits NDH
592 _in vivo_, however, is still elusive (see § 9.1 and Table S2, row 1).


593 **Thioredoxins (Trxs).** Trxs receive electrons from reduced Fd through Fd–Trx reductase (FTR) and regulate many
594 chloroplast proteins (for a review, see Yoshida and Hisabori 2023). The m-type Trxs appear to restrain both CEF-PSI
595 pathways. In _A. thaliana_, loss of Trx m4 increased NDH activity, overexpression of Trx m in tobacco suppressed it,
596 and Trx m4 partially inhibited the PGR5-dependent pathway in vitro (Courteille et al. 2013). Okegawa and Motohashi
597 (2020) further showed that Trx m4 forms a disulfide-linked complex with PGRL1 and suppresses the PGR5598 dependent pathway; during photosynthetic induction, the complex temporarily dissociates, and CEF-PSI is activated.
599 By contrast, the x- and y-type Trxs work together with CEF-PSI. In the _trx x_ and _trx x trx y1 trx y2_ mutants of _A._
600 _thaliana_, the PSI acceptor side was more reduced than in WT, particularly under FL, and PSI photoinhibition was
601 more severe, although NDH activity was unchanged (Okegawa et al. 2023). In the _pgr5 trx x trx y1 trx y2_ quadruple
602 mutant, the acceptor side was even more reduced, and the leaves bleached and died under FL (Okegawa and Sakamoto
603 2026). Other Trxs also affect photosynthesis under FL: Trx m1 and m2 are needed for full photosynthetic activity in
604 the HL phases, and NADPH-dependent Trx reductase C (NTRC) for the dynamic responses of NPQ and of the PQ
605 redox state (Thormählen et al. 2017); the combined loss of Trx f1 and NTRC also makes PSI core proteins more
606 vulnerable to light (Thormählen et al. 2015). Thus, Trxs can both restrain and support CEF-PSI, and how they regulate
607 the two pathways under red and FR light deserves closer examination.


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608 **Interaction with Fd.** Both pathways accept electrons from reduced Fd, so the way each binds Fd could, in principle,
609 decide which pathway is used. For NDH, the binding site is known. The subunit NdhS has an SH3-like fold, and its
610 conserved Arg-193 is required for the high-affinity, electrostatic binding of Fd: in ruptured _A. thaliana_ chloroplasts,
611 NDH-dependent PQ reduction was almost saturated at 3 µM Fd in WT, whereas in NdhS-deficient mutants it
612 remained low even at 20 µM Fd (Yamamoto and Shikanai 2013; Yamamoto et al. 2011). For the PGR5-dependent
613 pathway, the site is less clear. PGRL1 interacts with Fd, PGR5, PSI, the Cyt _b_ 6 _f_ complex and FNR (DalCorso et al.
614 2008), and recombinant PGRL1 reduces quinones with electrons from Fd in an antimycin A-sensitive manner (Hertle
615 et al. 2013). Whether PGRL1 is the Fd–PQ reductase itself is still debated (Maekawa et al. 2024; see Table S2, row
616 8). Measured in the same system, the two pathways differ little in their affinity for Fd: the apparent _K_ m was
617 approximately 2 µM for NDH, measured in _A. hybridus_ with antimycin A, and 1 µM in spinach, in which most of
618 the activity is antimycin A-sensitive (Fisher et al. 2019); the value for NDH is less certain, because the rate was not
619 saturated at the highest Fd concentration tested (approximately 5.5 µM). Older assays of the antimycin A-sensitive
620 pathway required more Fd, with an optimum of about 10 µM in air (Arnon and Chain 1975) and saturation at about
621 75 µM reduced Fd under anaerobic conditions (Cleland and Bendall 1992). These assays did not measure NDH and
622 used other species and conditions, so their values cannot be compared directly with those of Fisher et al. (2019). All
623 these values are similar to those of the other Fd-dependent enzymes of the stroma: the dissociation constant for Fd is
624 about 1–10 µM for FNR at physiological ionic strength, about 1 µM for nitrite reductase and about 10 µM for Fd625 dependent glutamate synthase (Knaff and Hirasawa 1991; see Text S1). The two pathways therefore compete with
626 these enzymes for reduced Fd on roughly equal terms, and FNR, which is present at about half the amount of Fd
627 (Böhme 1978; Terashima and Inoue 1985), is the largest competitor. Total Fd is unlikely to limit CEF-PSI, because
628 chloroplasts contain roughly one to six Fd per PSI, or 3–6 mmol Fd per mol Chl (Antal et al. 2013; Böhme 1978;
629 Terashima and Inoue 1985), which, with a chlorophyll concentration of 30–60 mM in the chloroplast (Antal et al.
630 2013), corresponds to about 0.1–0.4 mM (see Text S1), more than ten times these _K_ m values. What can limit CEF631 PSI is the fraction of Fd that is reduced, and this is set by the balance between the supply of electrons from PSI and
632 their use by FNR and the other enzymes. Tagawa et al. (1963) already observed in isolated chloroplasts that cyclic
633 photophosphorylation began when NADP⁺ ran out, and in leaves, Fd-dependent CEF-PSI increases with the reduction
634 level of Fd and appears when linear electron flow is saturated (Ohnishi et al. 2023; Satoh et al. 2025). Here, kinetics
635 and thermodynamics should be kept apart: the rate of each pathway depends on the concentration of reduced Fd
636 (Cleland and Bendall 1992), whereas Δ _E_ h in the condition Δ _E_ h - _n_ - Δp depends on the ratio of reduced to oxidized
637 Fd. Under pure FR, PSI receives few electrons from PSII: the oxidized PQ pool favors the forward reaction of NDH,
638 but little Fd is reduced, which is why CEF-PSI under FR needs a small supply of electrons from PSII (Arnon and
639 Chain 1975; Joët et al. 2002; see Table S2, row 2). Because both pathways draw on the same pool of reduced Fd with
640 similar affinity, affinity alone cannot explain why one pathway is favored under one light quality and the other under
641 another; the explanation must be sought in the pmf, ATP and the redox state of the chain (see §§ 5.2–5.4).


642 **Physical organization.** NDH forms a supercomplex with PSI through the minor antenna proteins Lhca5 and Lhca6;
643 the stromal loop of Lhca6 is required for binding to NDH (Otani et al. 2017). The supercomplex stabilizes NDH. In
644 chilling-sensitive cucumber, the PSI–NDH supercomplex is partially disassembled and NDH activity is lost within 1
645 h of chilling in the light, and this loss accompanies PSI photoinhibition (Takeuchi et al. 2026; see § 1.3). However,
646 in the liverwort _M. polymorpha_, the supercomplex is not required for NDH activity: NDH functions without Lhca5
647 and Lhca6 (Ueda et al. 2012). Cyanobacterial NDH-1 has two Fd-binding site candidates (Laughlin et al. 2019), and
648 the supercomplex may place NDH close to the Fd reduced by PSI; however, as noted above, both pathways draw on
649 the same pool of reduced Fd, so physical proximity alone cannot explain the division of roles between light qualities.


650 **Proton conductivity of the ATP synthase.** It has been argued that PGR5 may lower the proton conductivity of the
651 ATP synthase, _g_ H⁺ (Rantala et al. 2020; Suorsa et al. 2012; Wang et al. 2015), whereas _g_ H⁺ is unaffected in NDH
652 mutants (Wang et al. 2015; see Table 1).
653


654 **5.2 Red FL: How does the PGR5 pathway protect PSI?**


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655 In red FL, PSI is protected by a sequence of events (Kono and Terashima 2016). When the irradiance is increased
656 from 30 to 1,200 µmol photons m⁻² s⁻¹, electrons gush into PSI at a rate faster than the rate of electron consumption
657 by CBB cycle, photorespiration and other sinks. Thus, the acceptor side of PSI becomes reduced (high Y(NA)). CEF658 PSI removes a part of the excess electrons and transfers them to the PQ pool. The protons deposited in the lumen by
659 CEF-PSI build up ΔpH, which suppresses the oxidation of PQH 2 at the Cyt _b_ 6 _f_ complex (photosynthetic control), and
660 the flow of electrons into PSI is suppressed. As a result, the acceptor side is relieved and P700 is oxidized: Y(NA)
661 decreases and Y(ND) increases. Kono and Terashima (2016) argued that the relief of the acceptor side must come


662 first: because Y(I) + Y(ND) + Y(NA) = 1, Y(ND) can become large only when Y(NA) has become small. This


663 depends on PGR5. When the PGR5 pathway was blocked, either genetically in _pgr5_ or pharmacologically with
664 antimycin A, Y(NA) rose step by step during the FL treatment, and the large Y(ND) of the HL phase never developed.
665 P m of _pgr5_ and of antimycin A-treated WT leaves fell to 20% and 40% of the initial value, respectively, compared
666 with 70% in untreated WT (Kono and Terashima 2016). The large Y(ND) in the HL phase was observed only when
667 the PGR5 pathway was functional, either in WT or in _crr2-2_ .
668 Two terms describe the restriction of electron flow at the Cyt _b_ 6 _f_ complex. "Photosynthetic control" is an
669 old concept (Rumberg and Siggel 1969; Tikhonov et al. 1981; West and Wiskich 1968): when the lumen becomes
670 acidic, protonation of the histidine ligand of the Rieske Fe–S protein, whose p _K_ a lies between about 6 and 6.5 in the
671 oxidized state, slows the oxidation of PQH 2 at the Q o site (Tikhonov 2024; Vilyanen and Kozuleva 2025). "Reduction672 induced suppression of electron flow" (RISE) describes the similar bottleneck from the PQ side: a highly reduced PQ
673 pool limits the turnover of the Q-cycle even without a change in lumen pH (Miyake 2020; Shimakawa and Miyake
674 2018). Degen and Johnson (2024) treat the two as a pH input and a redox input on the same step. In leaves, the two
675 inputs usually occur together, because the conditions that acidify the lumen also reduce the PQ pool. They differ,
676 however, in what they require: the pH input requires a ΔpH, whereas the redox input requires a reduced PQ pool, a
677 difference that becomes important under FR (see § 5.3). An increase in Y(ND) alone does not show that electron flow
678 is restricted at the Cyt _b_ 6 _f_ complex by either input; the rate constant of P700⁺ re-reduction is a more direct indicator
679 (Degen and Johnson 2024).
680 The _pgr5_ phenotype also shows that the mutant fails to build and hold the pmf. In white FL, _pgr5_ leaves generate
681 a normal pmf during LL, but the pmf collapses almost completely at the transition to HL, whereas in WT, it increases
682 sharply (Suorsa et al. 2012). The consequence is that P700 stays reduced throughout the HL phase in _pgr5_ (Suorsa et
683 al. 2012), and the acceptor side is also reduced. The fact that the damage originates on the acceptor side is shown by
684 two observations: methyl viologen, an artificial electron acceptor, restores P700 oxidation in _pgr5_ in high light
685 (Munekage et al. 2002), and lowering the O₂ concentration to 2.7% or 0% during the red FL enhanced CEF-PSI in
686 _pgr5_, released the acceptor-side limitation, and abolished PSI photoinhibition (Kono et al. 2014). In red FL, the
687 protective effect of CEF-PSI comes from relieving the acceptor side and building the pmf, and the pathway that can
688 do this fast enough is the PGR5 pathway.
689 Why is this role assigned to PGR5 instead of NDH? In the HL phase, a large pmf must be built quickly from a
690 large electron flux. This exactly fits the characteristics of the PGR5 pathway (Table 1). It can also be understood why
691 NDH is largely dispensable in red FL, at least in _A. thaliana_ . NDH can recycle only a few percent of the maximum
692 linear flux (Table 1), which is negligible in the HL phase. When the linear electron flow is fast, the PQ pool becomes
693 strongly reduced and the pmf is high. Both changes diminish the net driving force of NDH (Δ _E_ h − _n_ - Δp; Table 1) and
694 push NDH toward a standstill.
695 However, this conclusion should not be generalized. Photosynthetic responses of the rice NDH mutant _crr6_,
696 grown at 28 °C, to HL in FL (1,500/200 | 10 min/10 min) were almost identical to those of WT, whereas the mutant
697 phenotype appeared in the LL phase, where NPQ was lower and the PQ pool was more reduced than in WT (Yamori
698 et al. 2016). NDH plays a larger physiological role in rice (Yamori et al. 2011, 2016) than in _A. thaliana_ or tobacco,
699 whose NDH mutants grow normally and show little change in NPQ or electron transport, even at low irradiances
700 (Munekage et al. 2004; Shikanai et al. 1998).
701


702 **5.3 Far-red light: Why does the NDH pathway take over?**


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703 **What does FR change?** Adding far-red light (FR) to the FL changed the state of PSI in both phases (Kono et al.
704 2017). In the LL phase, 10 s after the 100th HL pulse, Y(ND) rose from 0.006 without FR to 0.389 with FR, and
705 Y(NA) fell from 0.432 to 0.224. In the HL phase, Y(ND) rose from 0.253 to 0.528 and Y(NA) fell from 0.428 to
706 0.232. FR thus both increased P700 oxidation and decreased acceptor-side limitation. The high Y(ND) of the LL
707 phase cannot be explained by ΔpH-dependent photosynthetic control, because at the irradiance of 30 µmol photons
708 m⁻² s⁻¹ the pmf is small, and in an FL regime with much longer phases the total pmf measured by the electrochromic
709 shift was not clearly changed by FR (Kono et al. 2020). Instead, FR excites PSI selectively, so that P700 is oxidized
710 faster than PSII can supply electrons to re-reduce it. This corresponds to the "linear mode" of Joliot and Johnson
711 (2011): under FR, the electrons released by P700 are passed on to acceptors and few return, so that P700 is oxidized
712 rapidly and the PQ pool stays largely oxidized. It follows that the redox input of photosynthetic control (see § 5.2) is
713 not engaged in FR; only the pH input can act, but this is also weak in the LL phase. Consistent with this, when FR is
714 given alone after darkness, the PGR5-dependent control of P700 remains in its inactive dark state (Rantala et al.
715 2020). In short, FR changes the main cause of P700 oxidation. In red FL, P700 is oxidized mainly by the pmf built
716 by CEF-PSI; with FR, it is oxidized by the balance of excitation between the two photosystems. This is the basis of
717 what may be called the masking hypothesis. In the sequence mentioned in § 5.2, the task of the PGR5 pathway was
718 to relieve the acceptor side and build the pmf that oxidizes P700. Addition of FR reaches the same two endpoints,
719 low Y(NA) and high Y(ND), without going through CEF-PSI. The specific contribution of PGR5, a fast, pmf-driven
720 oxidation of P700, is therefore no longer required, and _pgr5_ recovers to 92% of P m when FR is present (Kono et al.
721 2017). This does not mean that FR acts "before" or "instead of" CEF-PSI. Every oxidation of P700 releases one
722 electron to Fd, and these electrons must be recycled; P700 oxidation and CEF-PSI run at the same time and support
723 each other. What FR removes is the need for the fast and large pmf-generating step. Whether P700⁺ is protective itself
724 has been questioned (Rantala et al. 2020; Sonoike 2025); we regard high Y(ND) as protective only when it is
725 accompanied by an oxidized acceptor side, a condition that FR meets (see Table S2, row 5).


726 **Why NDH? A working hypothesis.** If the pmf-generating step no longer must be fast, why does the protection by
727 FR still require a CEF-PSI pathway, and why NDH in particular? Our working hypothesis, which may be called the
728 redox–Δp gating, is that the redox state of the electron transport chain and the size of the pmf gate the two pathways
729 differently. A proton pump such as NDH can run forward only while the redox driving force from Fd to PQ exceeds
730 the back-pressure of the proton gradient, that is, while the net driving force (Δ _E_ h − _n_ - Δp) is positive (Strand et al.
731 2017; see § 5.1). In FR, the PQ pool is oxidized, so Δ _E_ h is large, and the pmf is moderate, so _n_ - Δp is small. Thus, the
732 forward reaction of NDH is thermodynamically favored. Defining this hypothesis by the net driving force, rather
733 than by Δp alone, makes it consistent with the observation that NDH-dependent CEF-PSI operates in the H 2 O 2 734 accumulating line GO5 despite the pmf about twice that of WT, because in GO5 the stroma is strongly reduced and
735 Δ _E_ h is correspondingly large (Strand et al. 2015). That NDH supplies electrons to the PQ pool under FR is indicated
736 by leaves of _A. thaliana_ : when actinic light was turned off with FR kept on, FR re-oxidized P700 more slowly in WT
737 than in plants with impaired NDH activity, as in _ndhB_ -disrupted tobacco (Shikanai et al. 1998, 2025). In tobacco
738 leaves under FR, cyclic PSI activity is weak in air, because the intersystem chain is too oxidized; it becomes fast
739 when the PQ and NADP pools are partly reduced under anaerobiosis, and the fast cycling requires NDH (Joët et al.
740 2002). This observation indicates two important points. First, in FR, NDH is the pathway that carries out electron
741 cycling. Second, the rate of cycling depends on an adequate supply of reduced stromal donors, and not on the light.
742 The redox–Δp gating determines whether the forward reaction of NDH is possible, but how fast it runs also depends
743 on how much reduced Fd and NADPH is available. In our FR-supplemented FL (or rSPs), the red light of the LL
744 phase continues to drive PSII (Kono et al. 2017). In an FL regime with much longer phases (800/30 | 10 min/15 min;
745 Kono et al. 2020), adding FR to low red light oxidized the PQ pool while increasing the PSII yield. FR thus keeps
746 the chain on the oxidized side without cutting off the supply of electrons from PSII, the condition NDH needs.


747 **High proton efficiency at low flux.** In the presence of FR, the role of CEF-PSI is not to drive a large electron flux
748 but to provide a safe return route for the electrons released by P700 oxidation, together with just enough pmf to keep
749 the Cyt _b_ ₆ _f_ complex under minimal photosynthetic control. NDH is suited to this role because its H⁺/e⁻ ratio, including
750 the Q-cycle, is 4, whereas that of the PGR5 pathway is 2 (Table 1). Therefore, a small flux through NDH has a
751 disproportionate effect on the pmf. A natural objection is that proton pumping activity should show up in NPQ.


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752 However, this is not observed in _A. thaliana_ under steady red light: FR changed the PSI parameters below 500 µmol
753 photons m⁻² s⁻¹, but left Y(II), Y(NO) and Y(NPQ) unchanged (Kono et al. 2017). The total proton input through
754 NDH is small, which would be enough to support the small photosynthetic control needed for P700 oxidation but not
755 enough to raise NPQ. In addition, FR increases the proton conductivity and proton flux through the ATP synthase
756 (Kono et al. 2020), so that additional proton input can be used for ATP synthesis rather than stored as pmf. This
757 applies to _A. thaliana_ in steady light and to tobacco, in which the disruption of _ndhB_ did not change NPQ at 20–2,000
758 µmol photons m⁻² s⁻¹ (Shikanai et al. 1998); in rice, whose NDH content is higher, _crr6_ shows a clearly lower NPQ
759 in low light (Yamori et al. 2011, 2016). The same reasoning explains the asymmetry seen with FR: _pgr5_ still has the
760 pathway that the FR regime needs and recovers to the WT level, whereas P m in _crr2-2_ and _crr4-3_, which lack it,
761 remained at 80% of the initial level even with FR (Kono et al. 2017).


762 **The operating window of NDH.** The FL (or rSPs) regime of Kono et al. (2017) spends 92.6% of its time in the LL
763 phase (1,200/30 | 800 ms/10 s). Low, steady electron cycling is the operating domain of NDH; Joliot and Johnson
764 (2011) noted that, although the NDH content is far too low to sustain the cyclic rates required under strong light,
765 NDH can carry a significant fraction of CEF-PSI under low light. Because NDH pumps protons, its own activity
766 raises the pmf, until _n_ - Δp approaches Δ _E_ h and the forward reaction stops (Table 1). The upper limit of NDH operation
767 is therefore set by the pmf. In the LL phase of FR-supplemented FL, the pmf is moderate and stays below this limit,
768 whereas in the HL phase of red FL it is high enough to stop NDH. The lower limit is set not by the pmf but by the
769 supply of electrons: the PQ pool must be oxidized enough to keep Δ _E_ h large, but enough reduced Fd and NADPH
770 must remain to supply the reaction, because cycling almost stops when the electron transport chain is too oxidized
771 (Joët et al. 2002). Similarly, in isolated chloroplasts, cyclic photophosphorylation under 715-nm light required a small
772 supply of electrons from PSII and stopped when PSII was blocked by DCMU (Arnon and Chain 1975). In addition,
773 in the LL phase the stromal ATP level falls while the demand for ATP persists, and a moderate fall in ATP activates
774 NDH first (Fisher et al. 2019); ATP feedback would thus favor NDH under the same conditions, although the ATP
775 dynamics under FR have not been measured.


776 **Maintaining redox poise across both phases.** FR added to the FL protected PSI fully only when it was present in
777 both phases of the FL; FR in the HL phase alone or in the LL phase alone gave only partial protection (Kono et al.
778 2017). This can be explained as follows. In the LL phase, FR keeps P700 and the donor-side carriers in an oxidized
779 state. These carriers (plastocyanin, the Cyt _b_ 6 _f_ complex and the PQ pool) together hold a few tens of electron
780 equivalents per P700. This oxidized pool is small, but it prevents P700 from becoming fully reduced at the onset of
781 the next HL pulse. During the HL pulse, FR keeps P700 oxidized while CEF-PSI returns the released electrons.
782 Therefore, the protective state is not a stock of P700⁺ built in advance, but a continuously maintained redox poise of
783 the whole chain. If ΔpH, photosynthetic control and P700 oxidation are relaxed in the LL phase, the chain must
784 rebuild them in the next HL pulse, and the acceptor side is transiently over-reduced during this "cold start". FR
785 prevents this cold start. This also resolves an apparent paradox in the NDH literature: the loss of NDH makes the PQ
786 pool more reduced under low light (Ueda et al. 2012; Yamori et al. 2011, 2016), although NDH reduces PQ. If the
787 pmf and ATP generated by NDH sustain the CBB cycle and minimal photosynthetic control when the light is low,
788 then NDH acts as an enzyme that keeps the intersystem carriers poised, not merely as a PQ reductase (Yamori et al.
789 2011). Under FR, this poising function is what the plant needs, and the NDH pathway provides it.


790

791 **5.4 Summary and outlook: light quality sets the redox poise and the pmf, and these gate the two pathways.**


792 **Two regimes, one rule.** Table 2 places the two regimes side by side. In the high-light phase of red FL, a reduced PQ
793 pool and a high pmf drive the net driving force of NDH (Δ _E_ h − _n_ - Δp) close to zero, and P700 is oxidized by the pmf
794 that the PGR5-dependent pathway builds within seconds (Fig. 4a, c). Under FR-supplemented FL, an oxidized PQ
795 pool and a moderate pmf make the net driving force large, and P700 is oxidized by the excitation balance, so that
796 NDH can run forward with high proton efficiency (Fig. 4b, c). One rule covers both regimes: light quality sets the
797 redox state of the PQ pool and the pmf, and these two variables decide which pathway can run. It explains the result
798 of Kono and Terashima (2016), its reversal in Kono et al. (2017), and why the reversal stayed hidden until FR was


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799 added: red LED light produces the one regime in which NDH has the least to contribute.


800 **Two separate questions.** Two questions have often been conflated in the literature (Fig. 4d). The first is by what
801 means P700 is kept oxidized, and three means are now documented. One is the pmf-driven restriction at the Cyt _b_ 6 _f_
802 complex, built mainly by the PGR5-dependent pathway under red high light (see § 5.2). Another is a restriction of
803 the electron flux into PSI from upstream, either by a low content of the Cyt _b_ 6 _f_ complex (Kono et al. 2025) or by PSII
804 photoinhibition, which can itself protect PSI (Sonoike 2025): in _A. thaliana_ leaves whose F v /F m had been lowered by
805 prior chilling, the residual PSI after rSPs increased as F v /F m decreased, independently of ΔpH (Takeuchi et al. 2025b).
806 Both protect PSI at the cost of photosynthetic capacity. The third is the excitation balance imposed by FR, which
807 oxidizes P700 without a high pmf and, in the low-light phase of FL, raises, instead of lowers, CO 2 assimilation (Kono
808 et al. 2020). The second question is how the pmf and ATP are supplied when linear flow is low. Here, the two pathways
809 share the task according to their capacity and efficiency: a large flux at two protons per electron through the PGR5810 dependent pathway, or a small flux at four through NDH (Table 1). Seen this way, FR and a low Cyt _b_ 6 _f_ content act
811 at the same point: both remove the need for a fast, pmf-driven oxidation of P700 and leave the plant with the second
812 question, which the NDH pathway answers efficiently at low flux.


813 **A general rule for low light.** If the redox–Δp gating is correct, NDH should matter whenever the light is low enough
814 to keep the PQ pool oxidized and the pmf moderate, whether or not FR is present. This is what the NDH mutants
815 show: the Burren _ndhG_ variant of _Arabidopsis_ affects PSII efficiency only below approximately 350 µmol photons
816 m⁻² s⁻¹ (Theeuwen et al. 2022, preprint), the loss of NDH in _M. polymorpha_ increases PQ reduction only &lt; 100 µmol
817 photons m⁻² s⁻¹ (Ueda et al. 2012), and the rice _crr6_ phenotype appears below the growth irradiance and in the low818 light phase of FL (Yamori et al. 2011, 2016). In each case—paradoxically, since NDH reduces PQ—the intersystem
819 chain is more reduced without NDH when the light is low, a paradox that the poising function of NDH resolves (§
820 5.3). FR is the extreme case of this condition, a light that excites PSI while driving little electron flow from PSII.
821 Seen in this way, the "low light versus high light" rule in § 2 and the "red versus far-red" reversal in § 5.3 are two
822 expressions of the same gating. The rule is therefore about redox poise and pmf, not about irradiance as such, and C₄
823 plants illustrate the difference. In the bundle-sheath cells of NADP-malic enzyme species, which operate in full
824 sunlight, the chloroplasts contain little PSII, the stroma receives NADPH from malate decarboxylation, and the CBB
825 cycle needs ATP that linear flow cannot supply; it is in these cells that NDH accumulates to its highest levels
826 (Takabayashi et al. 2005). What they share with an FR-illuminated leaf is not low light but a chain fed by little PSII
827 and a reduced stroma, which should keep Δ _E_ h large enough for NDH to run even against a substantial pmf, as in GO5
828 (see Table S2, row 1), together with a demand for ATP that only a proton-efficient cycle can meet. The high NDH
829 content serves the CO₂-concentrating mechanism rather than PSI protection (Takabayashi et al. 2005), but the
830 condition that selects NDH is the same as under FR.


831


832 **6. ROS: their generation and scavenging.**


833 **6.1 Routes of ROS generation.**


834 Electrons are transferred within PSI from the P700 to Fd via A 0, phylloquinone A 1, and the Fe–S clusters F X, F A, and
835 F B . Because these electron carriers have highly negative midpoint potentials (A 0A /A 0B, approximately −1200 mV;
836 PhQ A 1A /A 1B, −800 to −600 mV; F X /F A /F B, −600 to −500 mV), their reduced forms can transfer electrons to O 2 to
837 generate the superoxide radical anion (O 2 &#91;•&#93; ⁻). For comparison, the reduction potential of the O 2 /O 2 &#91;•&#93; ⁻ couple is
838 approximately −160 mV in water, while −600 to −500 mV in N,N-dimethylformamide (DMF) (Cherepanov et al.
839 2017; Degen and Johnson 2024; Kozuleva and Ivanov 2010; Ptushenko et al. 2008; Wardman 1990). O 2 &#91;•&#93; ⁻ is converted
840 to H 2 O 2 through non-enzymatic dismutation or through dismutation catalyzed by chloroplast superoxide dismutase
841 (SOD) localized near PSI on the stromal surface of the thylakoid membrane (Asada 2006; Ogawa et al. 1995). H 2 O 2
842 can generate •OH through Fenton reactions involving the reduced PSI Fe–S clusters or free Fe &#91;2+&#93;, further amplifying
843 PSI damage (Šnyrychová et al. 2006; Sonoike 2011). In addition, O 2 &#91;•&#93; ⁻ is known to react directly with solvent-exposed


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844 &#91;4Fe–4S&#93; clusters, inducing their breakdown through cluster oxidation and release of Fe (Bulteau et al. 2003; Flint et
845 al. 1993; Gardner 1997; Petronek et al. 2021). The Fe–S clusters of PSI may therefore be direct targets of O 2 &#91;•&#93; ⁻.
846 Severe over-reduction of the PSI acceptor side provides an additional pathway for ROS production. Charge
847 recombination of the P700⁺/A 0 ⁻ or P700⁺/A 1 ⁻ radical pair can form triplet P700* ( &#91;3&#93; P700*), from which energy transfer
848 to O 2 produces singlet oxygen ( &#91;1&#93; O 2 ) (Kim et al. 2001; Rajagopal et al. 2005; Rutherford et al. 2012; Shimakawa et
849 al. 2024; Shuvalov et al. 1986). Not all charge recombination leads to &#91;3&#93; P700* formation, however; an alternative
850 pathway returns the charge-separated state directly to the ground state without forming &#91;3&#93; P700* (see § 6.3). ROS can
851 therefore be generated in PSI by at least two pathways: O 2 &#91;•&#93; ⁻ generation through electron transfer to O 2 and &#91;1&#93; O 2
852 generation through charge recombination (Sonoike 2025). O 2 &#91;•&#93; ⁻ is less reactive than •OH and &#91;1&#93; O 2 and therefore does
853 not rapidly attack most proteins or lipids. By contrast, &#91;1&#93; O 2 and •OH are highly reactive but short-lived, so their effects
854 are largely confined to pigments and proteins close to their sites of formation.


855

856 **6.2 Sites of O** **2** **&#91;•&#93;** **⁻ generation within PSI.**


857 Which PSI electron carrier reduces O 2 during chilling-induced PSI photoinhibition has long been debated. Chilling858 induced PSI photoinhibition was barely detectable in darkness or under anoxic conditions, directly implying
859 involvement of ROS in the damage. The early loss of Fe–S cluster activity in cucumber chilled in the light initially
860 pointed to these clusters as the principal sites of both ROS production and damage (Shimakawa et al. 2024; Sonoike
861 et al. 1995). However, the site where damage is first detected is not necessarily the site where ROS are generated.
862 O 2 &#91;•&#93; ⁻ reacts weakly with most biomolecules but selectively attacks Fe–S clusters (Flint et al. 1993; Furutani et al.
863 2023). O 2 &#91;•&#93; ⁻ generated closer to the PSI core, for example at A 1, could therefore damage the Fe–S clusters even if the
864 clusters themselves are not its site of production. Because A 0 and A 1 have more negative redox potentials than F A /F B,
865 electron transfer from their reduced forms to O 2 is thermodynamically more favorable. Under normal electron
866 transport conditions, however, the reduced states of A 0 and A 1 are short-lived, making electron accumulation at these
867 cofactors unlikely. By contrast, the reduced states of F A /F B are considerably longer-lived. The site of O 2 reduction
868 within PSI is therefore determined not only by the redox potential of each carrier but also by the lifetime of its reduced
869 state and its accessibility to O 2 (Khorobrykh et al. 2020).
870 Although A 1 lies within the PSI complex, structural analyses have revealed internal protein cavities near A 1A
871 and A 1B that connect to the external aqueous phase, providing possible routes for O 2 to reach these sites (Cherepanov
872 et al. 2017). Access to A 1 alone, however, does not determine the dominant site of O 2 reduction, because the relative
873 contributions of the PSI cofactors vary with light intensity. Kozuleva and colleagues isolated PSI from
874 _Chlamydomonas_ grown under approximately 70 µmol photons m⁻ &#91;2&#93; s⁻ &#91;1&#93; and measured O 2 photoreduction under 50–
875 2,200 µmol photons m⁻ &#91;2&#93; s⁻ &#91;1&#93; . At irradiances of 300 µmol photons m⁻ &#91;2&#93; s⁻ &#91;1&#93; or higher, phylloquinone A 1 was the major
876 site of O 2 reduction, whereas F A /F B made a greater contribution at lower irradiances (Kozuleva 2022; Kozuleva and
877 Ivanov 2023; Kozuleva et al. 2021). Because the reduced states of F A /F B persist longer than those of A 1 and F X,
878 electron transfer from F A /F B to O 2 is favored at lower irradiances. As irradiance increases, repeated excitation supplies
879 electrons to the PSI acceptor chain faster than they can be removed from the terminal clusters, allowing reduced F X
880 and eventually reduced A 1 to accumulate. A 1 may therefore make a greater contribution to O 2 reduction at higher
881 irradiances. In intact leaves, however, photosynthetic control normally restricts electron flow into PSI, limiting the
882 sustained accumulation of reduced F X and A 1 . O 2 reduction at A 1 is therefore expected to become appreciable only
883 when photosynthetic control is impaired or overwhelmed and the PSI acceptor side becomes severely over-reduced
884 (Miyake 2020).
885 Fd is also the site of O 2 &#91;•&#93; ⁻ formation (Badger 1985). Although Fd could become a victim of O 2 &#91;•&#93; ⁻, O 2 &#91;•&#93; ⁻ formed
886 at Fd in the stroma would not attack PSI Fe–S centers. Similarly, addition of methyl viologen (MV), which is an
887 electron acceptor from PSI and produces O 2 &#91;•&#93; ⁻ through autoxidation upon reduction, suppressed PSI photoinhibition
888 induced by constant light in isolated thylakoid membranes (Sonoike 1996a) or by rSPs in isolated chloroplasts
889 (Takagi et al. 2016).


890

891 **6.3** **&#91;1&#93;** **O** **2** **generation through charge recombination.**


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892 Among the possible fates of electrons accumulated on the PSI acceptor side are electron transfer to O 2 and charge
893 recombination with P700⁺. The latter can return electrons safely to P700⁺, but some recombination pathways generate
894 3 P700* and thereby promote the formation of 1 O 2, potentially damaging PSI. Whether charge recombination protects
895 or damages PSI may depend on the pathway it follows. Formation of &#91;3&#93; P700* from P700⁺A 1 ⁻ is thought to involve re896 formation of the primary P700⁺A 0 ⁻ radical pair, followed by population of the triplet state of P700*. Alternatively,
897 the P700⁺A 1 ⁻ can return to the ground state through a recombination pathway without forming &#91;3&#93; P700*. Rutherford et
898 al. (2012) proposed that these contrasting outcomes reflect the different energetics of A 1A and A 1B . In their model, a
899 back-reaction from F X ⁻ or another downstream acceptor may avoid &#91;3&#93; P700* formation by proceeding through A 1A,
900 whereas recombination through the B-branch may be more likely to re-form the primary P700⁺A 0B ⁻ radical pair and
901 produce &#91;3&#93; P700* (Bindra et al. 2024; Cherepanov et al. 2017; Degen and Johnson 2024; Ishikita and Knapp 2003;
902 Rutherford et al. 2012).
903 Evidence for a protective role of charge recombination comes from high-light experiments with intact leaves.
904 Tiwari and colleagues showed that continuous high-light exposure caused 10–35% photodamage to F A /F B in wild905 type _A. thaliana_, while having little effect on F X function or P700 oxidation capacity (Tiwari et al. 2024). They
906 proposed that, following partial inactivation of F A /F B, electrons accumulating at F X can recombine safely with P700⁺
907 if photosynthetic control maintains a sufficient population of P700⁺. In the _pgr5_ mutant, by contrast, impaired
908 photosynthetic control limited the accumulation of P700⁺. Reduction then spread to F X and was accompanied by
909 damage to this cluster, resulting in severe PSI damage (Degen et al. 2026; Tiwari et al. 2024). Thus, charge
910 recombination between F X ⁻ and P700⁺ may limit the spread of damage from F A /F B to F X and the PSI core.
911 A different pattern of photo-oxidative damage to PSI is observed in rSPs. Shimakawa et al. (2024) found that
912 such pulses damaged the PSI core near P700 more severely than the Fe–S clusters. Under these conditions, P700⁺
913 and reduced A 0 /A 1 may coexist more frequently, increasing the likelihood of charge recombination that produces

914 3 P700* and, consequently, 1 O 2 . The short lifetime and diffusion distance of 1 O 2 could then account for the preferential
915 damage near the PSI reaction center rather than the Fe–S clusters. It remains unclear, however, why recombination
916 pathways that form &#91;3&#93; P700* would be favored over pathways that return the charge-separated state safely to the ground
917 state during rSPs, or to what extent the B-branch is directly involved in this process.
918 A major defense against triplet-mediated &#91;1&#93; O 2 formation in photosynthetic organisms is triplet–triplet energy
919 transfer from triplet chlorophyll to carotenoids, which quenches the chlorophyll triplet before it can sensitize O 2
920 (Cazzaniga et al. 2012; Qin et al. 2025; Shi et al. 2026). A comparable process has been demonstrated in the reaction921 center complex of green sulfur bacteria, where triplet energy transfer from core-antenna BChl _a_ to carotenoids
922 produces triplet carotenoids ( &#91;3&#93; Car) (Azai et al. 2020; Inagaki et al. 2026). Direct experimental evidence for such
923 quenching of &#91;3&#93; P700* by a carotenoid in land-plant PSI is, however, still lacking.


924

925 **6.4 Summary of ROS generation in PSI under different environmental conditions.**


926 The mechanisms of ROS generation in PSI are summarized in Fig. 5. Under continuous high light, photosynthetic
927 control can maintain P700⁺. Thus, even when a fraction of the F A /F B clusters is damaged, electrons accumulated at
928 F X may be safely removed by charge recombination with P700⁺ through the A-branch. Although this reaction does
929 not restore forward electron transfer to Fd, it may prevent damage from spreading to F X and the PSI core (Tiwari et
930 al. 2024). When photosynthetic control does not function adequately, as in _pgr5_, P700⁺ cannot be maintained, and
931 over-reduction and damage spread to F X (Fig. 5a), leading to severe PSI photoinhibition (Mazor et al. 2017; Tiwari
932 et al. 2016, 2024).
933 Under rSPs, and possibly, though to a much lesser extent, under FL, P700⁺ and reduced A 0 /A 1 coexist more
934 frequently. Consequently, charge recombination through the B-branch may more readily generate &#91;3&#93; P700* and thereby
935 increase &#91;1&#93; O 2 formation, potentially accounting for preferential damage to the region near the PSI reaction center. By
936 contrast, the reduced states of the Fe–S clusters are thought to be relatively short-lived under rSPs, which would limit
937 O 2 &#91;•&#93; ⁻ production from these cofactors (Fig. 5b).
938 Finally, chilling-induced PSI photoinhibition in cucumber progresses even under relatively weak light of
939 approximately 100–250 µmol photons m⁻² s⁻¹ (Fig. 5c). At low temperatures, NDH activity declines, while weakened
940 association of CF 1 with the thylakoid membrane impairs ΔpH formation, ATP synthesis, and photosynthetic control.


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941 Reduced ATP production, together with the temperature-dependent decreases in enzymatic reactions, strongly
942 suppresses the CBB cycle and photorespiration, further decreasing electron consumption downstream of PSI.
943 Consequently, even under weak light, electron flow into PSI may exceed the electron-consuming capacity of
944 downstream reactions, allowing the reduced state to extend beyond F A /F B to F X and A 1 . Impaired photosynthetic
945 control also suppresses the accumulation of P700⁺, making safe charge recombination from F X &#91;–&#93; to P700⁺ less likely.
946 Under chilling conditions, electrons may therefore leak to O 2 from multiple acceptors, including A 1 and F A /F B,
947 promoting O 2 &#91;•&#93; ⁻ production. The resulting O 2 &#91;•&#93; ⁻ can damage the Fe–S clusters. In addition, dismutation of O 2 &#91;•&#93; ⁻ produces
948 H 2 O 2, which can generate •OH through Fenton reactions involving the Fe–S clusters or free Fe &#91;2+&#93;, causing further
949 oxidative damage (Hegedűs et al. 2008; Nakano et al. 2006; Šnyrychová et al. 2006). Consistent with a role of Fe in
950 light-induced oxidative damage, cucumber grown under Fe-rich conditions is more susceptible to oxidative injury
951 under light-chilling stress (Takeuchi et al. 2024).
952 Thus, the ROS species generated within PSI and the sites of production are likely to differ among stress
953 conditions, depending on which acceptors become reduced, how long they remain reduced, and whether P700⁺
954 remains available for charge recombination.
955 Chilling injury caused by ROS generation involves the chain reaction of lipid peroxyl radicals that eventually
956 causes membrane disruption and cell death. In chilling-tolerant plants, levels of antioxidants including ascorbic acid
957 and tocopherols are high. In particular, α-tocopherol, a lipophilic antioxidant localized in the membrane, acts as
958 scavenger of singlet oxygen and lipid peroxyl radicals. For reviews, see Asada (2006) and Mesa and Munné-Bosch
959 (2023).


960

961 **7. Roles of far-red light and allocation of excitation between PSI and PSII.**


962 To keep P700 in its oxidized form, excitation of PSI is prerequisite. In natural light environments in the terrestrial
963 ecosystems, far-red light, which preferentially excites PSI, is abundant. When spillover of excitation from PSII to
964 PSI occurs, PSI is further excited. Under fluctuating-light conditions, PSI may be most vulnerable when a leaf is
965 suddenly exposed to high light after an extended period of low light. NPQ in such leaves is low and does not increase
966 spontaneously. In contrast, the spillover of the excitation from PSII to PSI occurs almost instantaneously.
967 Concerning spillover, especially in shade-type chloroplasts, the occurrence of spillover itself is often doubted,
968 because PSII is in the appressed membranes, whereas PSI is mostly in the non-appressed membranes (Andersson and
969 Anderson 1980), and thus PSII and PSI are too far apart. A study of _Pinus sylvestris_ L. (Scots pine) using time970 resolved fluorescence analysis showed that the spillover increased in early spring with the decrease in the number of
971 thylakoids per granum in the overwintered needles (Bag et al. 2020). These results support the notion that the spillover
972 from PSII to PSI would not occur in chloroplasts with highly stacked grana.
973 We recently examined the degree of spillover in the leaf discs at 77 K using various plants, grown at high
974 and low light. We measured the fluorescence induction at 760 nm following the model by Kitajima and Butler (1975).
975 They assumed that there is no induction in intrinsic PSI fluorescence and that the fluorescence at 760 nm contains no
976 PSII fluorescence. Then, the induction observed at 760 nm would be largely attributed to spillover from PSII.
977 Although we confirmed that the intrinsic PSI fluorescence excited at 700 nm did not show any induction, the second
978 assumption is not valid. Even at 760 nm, there was some vibronic PSII fluorescence. We estimated the leftover PSII
979 fluorescence at 760 nm to be around 15% of the maximum fluorescence, _F_ _m_, at 760 nm (Terashima et al. 2025). After
980 illumination with weak far-red light and subsequent dark treatment for less than 2 min, the leaf discs in state 1 were
981 frozen and their fluorescence induction was analyzed at 690 and 760 nm. Taking account of the PSII contamination,
982 spillover of excitation was calculated to range from 16 to 28% of the excitation initially allocated to PSII. These
983 values were not lower in low-light grown plants, indicating that spillover is rather substantial irrespective of the
984 species and growth light conditions. The discrepancy between the results of studies using time-resolved fluorescence
985 analysis and ours should be resolved. It is noteworthy that our electron microscopy analyses revealed that there is
986 enough space for the PSII-PSI megacomplexes (Kim et al. 2023; Yokono et al. 2024) in chloroplasts of _A. odora_
987 irrespective of the growth environments, which have vast inter-grana thylakoids. The margins of appressed thylakoids
988 would be able to accommodate such megacomplexes (Terashima et al. 2025).


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989 When the spillover from PSII to PSI is active, PSII may be protected because Chl* near the PSII reaction center
990 decreases considerably. It is interesting to examine whether shade-tolerant plants grown in low light generally
991 construct thylakoid membranes so as to be resistant to FL-induced photoinhibition. Given that shade-tolerant plants
992 are frequently exposed to strong sunflecks in their natural habitats, such a thylakoid construction would be adaptive.


993


994 **8. Technical problems in quantification of PSI parameters.**


995 _**In vitro**_ **electron transport measurement with methyl viologen.** When electron transport activities of thylakoid
996 membranes are measured _in vitro_, methyl viologen (MV) is widely used as an electron acceptor from PSI (Izawa
997 1980). However, this reagent accepts electrons not only from F A /F B at the membrane/protein surface, but also from
998 F X in the PSI complex in the membrane because of its hydrophobic/lipophilic nature (Fujii et al. 1990; Sonoike and
999 Terashima 1994). In our earlier studies using cucumber, we isolated thylakoids after tr **e** ating the leaves with light at
1000 low temperatures and measured the PSI electron transport rate from ascorbate-reduced 3,6-diaminodurene (DAD) to
1001 MV at a concentration of 1 mM. Worse, only the electron transport rates at saturating light were measured (Terashima
1002 et al. 1989, 1991b). Thus, we failed to detect PSI photoinhibition at F A /F B . By contrast, in Terashima et al. (1994),
1003 we assessed the electron transport rate from ascorbate-reduced 3,6-diaminodurene to NADP &#91;+&#93; in the presence of
1004 ferredoxin by measuring the absorbance change at 340 nm. Moreover, in this study, the initial slopes obtained at low
1005 irradiances were compared. In this way, PSI photoinhibition was found.


1006 **Assessing the PSI redox state** _**in vivo**_ **.** Accurate assessment of the PSI redox state is essential for elucidating the
1007 mechanism of PSI photoinhibition. In conventional P700 analyses, Y(ND), Y(I), and Y(NA) are measured by
1008 monitoring concentration of P700 &#91;+&#93; with measuring pulses at two wavelengths, at 810 or 830 nm (sample) and 870
1009 nm (reference) with the PAM 101, and at 830 (sample) and 870 nm (reference) with the Dual-PAM (both from Walz,
1010 Germany). At first, the sample is kept in the dark to reduce P700, and P m level was measured with a rather intense
1011 far-red light and a short saturating flash (SP, for example for 30 ms). Next, actinic light is turned on, and, at the steady
1012 state, the P700 &#91;+&#93; level is measured (P). Then by adding the far-red light and a SP, P m ’ is monitored. Using these data,
1013 Y(ND), Y(I) and Y(NA) are obtained as P/P m, (P m ’ – P)/P m, and (P m – P m ’)/P m, respectively (Klughammer and
1014 Schreiber 1994). Two main concerns for this method have been raised (Fan et al. 2016; Furutani et al. 2022).
1015 First, the components near the P700, plastocyanin (PC) and ferredoxin, show absorbance changes in near infra1016 red waveband as well. The absorption coefficient of P700 &#91;+&#93; was reported to be 12 mM &#91;-1&#93; cm &#91;-1&#93; at 815 nm for spinach
1017 chloroplasts (Inoue et al. 1973). Oxidation minus reduced differential absorption coefficient of P700 &#91;+&#93; at (830 nm 1018 870 nm) calculated from Inoue et al. (1973) is 8.6 mM &#91;-1&#93; cm &#91;-1&#93;, while those of spinach plastocyanin and ferredoxin
1019 would be 0.31 and 0.07 mM &#91;-1&#93; cm &#91;-1 &#93; (calculated from Schreiber 2017). Although the coefficient of Fd is small, that of
1020 PC is considerable. Therefore, the redox levels of PC and Fd influence the apparent redox status of P700 &#91;+&#93; /P700 (see
1021 below). The Dual KLAS/NIR (Walz) deconvolutes redox levels of these three components, using four wavelength
1022 pairs of differential measurements (Schreiber 2017). Oja et al. (2003) measured the redox level of PC using “far-red
1023 light titration.”
1024 Second, the method to determine Y(I) itself has been challenged (Furutani et al. 2022). Manipulating the redox
1025 level of PC before the intense far-red light and a SP application, they showed that Y(I) values under the similar
1026 conditions varied to a considerable extent. During the SP, not only P700 photooxidation but also electron donation to
1027 PSI and electron transfer from its acceptor side proceed rapidly. Values calculated using the SP therefore do not
1028 necessarily reflect the PSI redox state even under the steady illumination conditions (Furutani et al. 2022). Thus, Y(I)
1029 should be regarded as an operational index that reflects the balance between electron donation to PSI and electron
1030 transfer from its acceptor side during the SP rather than direct measure of the steady-state PSI quantum yield. The
1031 estimation of Y(NA) therefore suffers from the same problem.
1032 Here, we raise another concern. It is now widely recognized that fluorescence signals from the leaf do not
1033 represent photosynthetic activity of the whole leaf, because only the fluorescence signal from the shallow part of the
1034 leaf is detected, especially when the measuring beam is blue or red (Oguchi et al. 2011; Terashima et al. 2009).
1035 Concerning the near infra-red light for PSI measurements, leaf absorptance in this waveband is only a few percent


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1036 (Gates 1980), because there are few pigments absorbing light in near infra-red. Due to its diffusive nature of
1037 mesophyll structure, the near infra-red light is well scattered in the leaf sample, and it is believed that absorbance
1038 change in P700 &#91;+&#93; is rather evenly detected throughout the leaf (Fan et al. 2016).
1039 Let us assume that P700 &#91;+&#93; is evenly detected. However, the actinic light for photosynthesis is absorbed unevenly.
1040 The chloroplasts near the illuminated side of the leaf absorb more light on a unit chlorophyll basis than those located
1041 deep in the leaf. Although the photosynthetic properties of chloroplasts change from sun-type to shade-type with the
1042 leaf depth, this gradient of sun-shade chloroplast properties is usually less steep than the light absorption gradient
1043 (Terashima et al. 2009). Then, we can expect that Y(ND) is greater and Y(I) is smaller in the chloroplasts near the
1044 illuminated surface than in those deep in the leaf. On the absorbed photon basis, therefore, Y(I) tends to be
1045 overestimated and Y(ND) tends to be underestimated. This would explain the tendency that the electron transport
1046 rate through PSI, ETR(I), is overestimated, as has been warned (Fan et al. 2016).
1047 When PSI photoinhibition proceeds progressively, Y(I), and thereby ETR(I), tend to be further overestimated.
1048 Thus, the changes in P m should be incorporated (Grebe et al. 2024; Kono et al. 2014; Takeuchi et al. 2025b).
1049 The redox state of Fd obtained by deconvolution of near infra-red measurement data with systems like the Dual
1050 KLAS/NIR (Walz) provides a comprehensive view of PSI acceptor-side reduction (Klughammer and Schreiber 2016;
1051 Schreiber 2017). Fd redox state can be followed continuously under steady illumination without applying saturating
1052 flashes. After the chilling treatment, Fd reoxidation became markedly slower in the chilling-sensitive cucumber
1053 cultivar than in the chilling-tolerant cultivar (Takeuchi et al. 2025a). Fd reoxidation kinetics provide an integrated
1054 measure of electron efflux from reduced Fd (Furutani et al. 2023; Kadota et al. 2019). Fd oxidation reflects the
1055 combined contributions of the CBB cycle, photorespiration, FLV, CEF-PSI, and other alternative electron transport
1056 pathways. The very small oxidized minus reduced absorption coefficient of Fd in near infra-red currently prevents
1057 detailed analysis of Fd use. However, in principle, the oxidation kinetics may be expressed by addition of several
1058 exponential decay components.
1059 The capacities for P700 and Fd oxidation are sensitive indicators of PSI redox regulation at low temperatures
1060 and can be used for early assessment of chilling sensitivity. Takeuchi et al. (2022) reported that the accumulation of
1061 P700⁺ after 3 h of chilling stress predicted subsequent chilling injury among cucumber cultivars. The predictive value
1062 of these measurements, however, depends on physiological context: in cucumber grown under different Fe supplies,
1063 oxidative injury was more pronounced under Fe-rich conditions despite comparable levels of P700 oxidation,
1064 consistent with amplification of ROS-mediated damage by Fe-dependent Fenton chemistry (Takeuchi et al. 2024).
1065 It should be noted again that calculation of the electron flux through Fd suffers from the above-mentioned
1066 problem. Even when the average oxidation rate throughout the leaf can be measured rather correctly upon cessation
1067 of the actinic light, it is expected that the Fd reduction level and oxidation rate are lower and slower in the chloroplasts
1068 far from the illuminated surface. However, the electron flux through Fd is greater in the chloroplasts located near the
1069 illuminated surface. Thus, it is problematical to multiply the average Fd reduction level and reoxidation rate obtained
1070 for Fd with the photon flux density allocated to PSI.


1071


1072 **9. Future directions in PSI photoinhibition research.**


1073 **9.1 Species differences and unresolved molecular mechanisms.**


1074 **PSI photoinhibition at low temperatures.** Research on chilling-induced PSI photoinhibition has advanced
1075 substantially using cucumber as a model. An important question is whether the sequence of events leading to chilling1076 induced PSI photoinhibition described here also occurs in plant species other than cucumber. As has been discussed,
1077 PSI protection at low temperature depends on different combinations of processes that restrict electron flow to PSI
1078 and relieve reduction on its acceptor side. These include PSII photoinhibition, photosynthetic control, CEF-PSI, FLV,
1079 etc. The relative importance of these processes is likely to vary among plant species and growth environments. In
1080 cucumber, the chilling-induced weak association of CF 1 with the thylakoid membrane uncouples ATP synthesis and
1081 impairs ΔpH formation and thereby photosynthetic control. The resulting loss of donor-side regulation makes PSI
1082 protection increasingly dependent on acceptor-side processes, particularly NDH (Takeuchi et al. 2025a, 2026). By


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1083 contrast, in plants that rapidly downregulate PSII activity, electron flow into PSI is suppressed, potentially reducing
1084 their dependence on acceptor-side processes such as NDH. Future comparative studies should therefore examine how
1085 different species combine donor-side regulation with acceptor-side electron dissipation, rather than evaluating each
1086 protective process in isolation.
1087 Further studies are needed to determine how changes in NDH activity at low temperature affect chloroplast
1088 function. NDH is embedded in a broader chloroplast redox network: its activity is modulated by several regulatory
1089 factors (Ermakova et al. 2024b; He et al. 2026; Kambakam et al. 2016; Kohzuma et al. 2026, preprint; Lascano et al.
1090 2003; Nikkanen et al. 2018, 2020; Wang et al. 2006; Zhang Q et al. 2024; Zheng et al. 2025), and changes in its
1091 activity can, in turn, affect chloroplast metabolism, including NADPH homeostasis (Nashilevitz et al. 2010; Zhang
1092 Q et al. 2024; Zhang Y et al. 2023). Understanding the consequences of altered NDH activity during chilling will
1093 therefore require examining both its regulation and its metabolic effects within this network.
1094 Studies of PSI photoinhibition under stresses other than chilling have identified diverse redox-regulatory and
1095 electron-consuming processes that contribute to PSI protection, some of which operate beyond the linear
1096 photosynthetic electron transport chain. These include FTR, nitrogen and sulfur assimilation, the malate valve,
1097 mitochondrial respiration, and plastid terminal oxidase (PTOX) (Backhausen et al. 1994; Hani et al. 2025; Hanke et
1098 al. 2008; Höhner et al. 2021; Konishi and Noguchi 2025; Krämer et al. 2024; Messant et al. 2024; Yamada et al.
1099 2024). It remains to be determined to what extent these pathways protect PSI at low temperature, whether they relieve
1100 acceptor-side reduction directly or indirectly, and how they interact with the protective mechanisms described above.
1101 Another important question is which component of PSI is damaged first during chilling-induced photoinhibition.
1102 Recent evidence indicates that light-harvesting complex I (LHCI) may be one of the early targets of PSI
1103 photoinhibition (Takagi et al. 2026). Oxidative damage to LHCI has been reported during chilling-induced PSI
1104 photoinhibition (Alboresi et al. 2009; Rajagopal et al. 2005). Oxidatively modified amino acid residues have also
1105 been identified in LHCI proteins, including residues near bound chlorophylls and on the protein surface (Kale et al.
1106 2020, 2022). Disruption of excitation-energy transfer from LHCI to the PSI core could prolong chlorophyll excitation
1107 within LHCI, increasing the probability of &#91;3&#93; Chl* formation and subsequent &#91;1&#93; O 2 generation (Carbonera et al. 2005;
1108 Kale et al. 2020; Rajagopal et al. 2005). Collectively, these observations suggest that LHCI damage may be an early
1109 event during chilling-induced PSI photoinhibition (Sonoike 1999; Takeuchi et al. 2026). This possibility may also
1110 help explain the early destabilization of the PSI–NDH supercomplex. Lhca5 and Lhca6 mediate the association
1111 between PSI and NDH, and damage to these subunits during chilling stress has been suggested to contribute to
1112 destabilization of the PSI–NDH supercomplex (Takeuchi et al. 2026).


1113 **FL and rSPs induced PSI photoinhibition: Points of tension concerning the division of labor between the two**
1114 **CEF-PSI pathways.** Several unresolved issues are summarized in Table S2 and discussed in Text S2. Three points
1115 deserve mentioning here. The first concerns gating itself (see § 5.3). Two observations weigh against the idea that the
1116 pmf holds NDH back in a leaf: a light-induced pmf did not inhibit NDH in the way that added ATP did (Fisher et al.
1117 2019), and NDH-dependent CEF-PSI operates in the H 2 O 2 -accumulating line GO5 despite a pmf about twice that of
1118 the wild type (Strand et al. 2015). By contrast, collapsing the pmf with uncouplers increased the NDH-dependent
1119 post-illumination fluorescence rise in thylakoids from spinach, _A. hybridus_ and _A. thaliana_ ; the increase was smaller
1120 in _A. thaliana_, but this reflects the larger share of the antimycin A-sensitive pathway in its fluorescence rise (Strand
1121 et al. 2017). Neither of the two observations is decisive: gating defined by the net driving force rather than by Δp
1122 alone accommodates GO5, and Fisher et al. (2019) themselves expect NDH to become limited at a higher pmf (Table
1123 S2, row 1). We therefore adopt gating as a working hypothesis. It adds to, rather than replaces, the established reasons
1124 why NDH contributes little under red high light (low abundance, slow turnover and competition with PSII for
1125 oxidized PQ; Ermakova et al. 2024a), and it explains why the balance should shift with light quality as well as with
1126 irradiance. Two mutant studies point the same way: in _hope2_, the NDH pathway contributed most under low light,
1127 where back-pressure from the pmf is small (Degen et al. 2023), and in _crr2-2_ under red FL, NDH relieved the acceptor
1128 side of PSI in the low-light phases but not in the high-light phases, possibly because a large ΔpH and a reduced PQ
1129 pool favor its reverse reaction (Zhou et al. 2023). In a recent review, Shikanai et al. (2025) also proposed that back1130 pressure from the pmf, possibly through a reverse reaction, limits NDH, so that NDH contributes to pmf formation
1131 mainly under low light. Two qualifications remain: an oxidized chain favors NDH only while enough reduced donors


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1132 are left (Joët et al. 2002; Table S2, row 2), and ATP feedback could produce a similar division of roles (Fisher et al.
1133 2019; Table S2, row 3). The sign of the net driving force has never been determined _in vivo_, and a direct test is
1134 overdue (Table S3, predictions 1–3).
1135 The second point concerns the pulse-type regime. Under repeated 1-s pulses of approximately 3,000 µmol
1136 photons m⁻² s⁻¹, _pgr5_ and _ndho_ lose P m to a similar extent as the wild type (Rantala et al. 2020), as in our FR-free
1137 controls, in which P m fell to approximately 70% in all genotypes (Kono et al. 2017): the loss of either pathway does
1138 not increase PSI photoinhibition under this kind of burst. In pulse regimes, genotype dependence appears only when
1139 FR is added, and it then runs through NDH, whereas in the 2-min regime it runs through PGR5. This is what both the
1140 masking hypothesis and the gating hypothesis predict, although the mechanism of photoinhibition may differ between
1141 the two types of regimes (Sonoike 2025; Table S2, row 6). The third point concerns the molecular role of PGR5,
1142 which remains uncertain (Table S2, row 8). A cycle at steady state returns to PSI exactly as many electrons as it
1143 removes and therefore cannot keep P700 oxidized by itself; its protective effect must come from the protons it moves,
1144 either as extra ATP that relieves the acceptor side or as lumen acidification that engages photosynthetic control
1145 (Vilyanen and Kozuleva 2025). Our account in § 5.2 uses both routes and requires only that the PGR5-dependent
1146 pathway builds the pmf quickly from a large electron flux without a proton pump of its own. If PGR5 proves to be a
1147 regulator rather than a carrier, the "capacity" entries of Table 1 describe the pathway rather than the protein, and the
1148 rescue of _pgr5_ by FR is read as FR removing the need for that regulation; the conclusion is unchanged.


1149 **Testable predictions.** The hypotheses make predictions that can be tested with existing methods (Table S3). The
1150 central one is that FR shifts the thermodynamic balance of NDH toward the forward reaction: the pmf from the
1151 electrochromic shift and the redox states of P700, plastocyanin and the PQ pool, measured together in leaves, should
1152 show that the net driving force is more positive under FR than in the high-light phase of red FL. The Δp dependence
1153 of NDH itself can be measured in coupled thylakoids under FR when the pmf is set without ATP, for example by an
1154 acid–base transition (Jagendorf and Uribe 1966); on the genetic side, FR should fail to rescue the _pgr5 crr_ double
1155 mutant. If predictions (1) to (5) fail to show a wavelength-dependent constraint on NDH, the gating hypothesis should
1156 be abandoned, and the division of roles should be explained by capacity, ATP feedback and activation alone. The
1157 masking hypothesis, however, would survive: FR oxidizes P700 by the excitation balance, this removes the specific
1158 need for PGR5, and NDH provides the low-flux recycling that remains necessary.


1159


1160 **9.2 Need of ecophysiological studies.**


1161 **Ecological implications.** Two lines of evidence bear on which pathway matters in nature. The first concerns light
1162 intensity. Under FL that reproduced the irradiance, but not the spectrum, measured inside a maize canopy at 100-ms
1163 resolution, the NDH-deficient mutants _ndho_ and _ndhm_ lost on average approximately 63% of their shoot dry weight
1164 and the Burren _ndhG_ variant approximately 10%, whereas neither was affected under constant light or slow square1165 wave fluctuations (Theeuwen et al. 2022, preprint). When the same lines were grown under a similar canopy-like
1166 regime, the NDH knockouts showed lower linear electron flow, pmf and biomass than under constant light, whereas
1167 Fv/Fm was unaffected (L.A. Vorbach, unpublished report). PSI photoinhibition was not measured in either study. The
1168 second concerns light quality. Canopy and understory light is enriched in FR, the red:far-red photon ratio falling from
1169 about 1.2 in daylight to about 0.1 under a dense canopy (Casal 2013; Franklin and Quail 2010; Smith 1982), and in
1170 field-grown _Erigeron annuus_ (L.) Pers. and _Commelina communis_ L., adding FR to red FL largely prevented PSI
1171 photoinhibition (Kono et al. 2017). The two lines support two different statements, that NDH matters for growth
1172 under canopy-like fluctuations and that NDH-dependent protection is engaged by FR; their combination is a
1173 hypothesis: in the FR-rich, rapidly fluctuating light of canopies, the NDH-dependent pathway may be the ecologically
1174 relevant route of PSI protection, and the red LED regimes of most laboratory studies may have overestimated the
1175 role of PGR5 and underestimated that of NDH; testing this requires PSI photoinhibition to be measured under natural
1176 spectra (Table S3, prediction 11).
1177 To understand PSI photoinhibition and its suppression mechanisms in extant plants, we should not forget that
1178 plants have evolved under natural environmental conditions. Studies of PSI photoinhibition under FL have become


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1179 increasingly active, and PSI is now considered to be vulnerable to FL. However, we have found that PSI
1180 photoinhibition is almost completely suppressed by far-red light at a level comparable to that present in natural
1181 sunlight. Despite this clear result, the extent of PSI photoinhibition under fluctuating natural light has scarcely been
1182 examined. Careful field studies are needed to demonstrate the suppressive effect of far-red light on PSI
1183 photoinhibition under natural conditions. Another important problem is that we do not know the detailed roles of far1184 red light in photosynthesis. We may call this situation “Far-red drop.” In addition to the problems discussed above,
1185 far-red light is not included in the actinic light of most conventional photosynthetic instruments. The latest LI-6800
1186 (LI-COR) allows far-red light to be added, but this is not the default setting. With such excitation light, insufficient
1187 excitation of PSI can cause over-reduction of the PQ pool, resulting in a decrease in Y(II) (Kono et al. 2022).
1188 Improvement of the spectral composition of excitation light is therefore essential.
1189 Based on the effects of far-red light supplementation, it has been proposed that photosynthetically active
1190 radiation (PAR), conventionally defined as 400–700 nm, should be extended to 750 nm (Zhen and Bugbee 2020).
1191 The conventional definition of PAR as 400–700 nm was partly based on the fact that green leaves strongly absorb
1192 light in this wavelength range. The absorptance of green leaves at 700 nm is approximately comparable to that at 550
1193 nm, and decreases sharply at longer wavelengths and becomes a few percent at 750 nm. Considering the first law of
1194 photochemistry, “only absorbed photons can do photochemical work,” the low absorptance of green leaves between
1195 700 and 750 nm suggests that a simple extension of PAR to 750 nm is not appropriate (Levine et al. 2026).
1196 In this review, we have examined the mechanisms of PSI photoinhibition in green leaves and the mechanisms
1197 that suppress it. In plant factories and other controlled environments, we can now freely use light sources with a wide
1198 variety of spectral compositions. In a “controlled” light environment, any wavelength composition can be selected
1199 as long as the light is absorbed by plants. However, whenever plant functions are considered, it is important to keep
1200 in mind that extant plants have evolved under natural environmental conditions.
1201

1202

1203

1204

1205

1206


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1207 **Supplementary Information**


1208 Table S1. Summary of PSI photoinhibition studies, with explanatory notes
1209 Table S2. Points of tension in the proposed division of roles between the CEF-PSI pathways
1210 Table S3. Testable predictions of the masking and redox–Δp gating hypotheses
1211 Text S1. Affinity of CEF-PSI pathways to Fd
1212 Text S2. Points of tension and open questions
1213 Text S3. Experiments to test the masking and redox–Δp gating hypotheses
1214

1215

1216 **Acknowledgement**


1217 We thank Professor Chikahiro MIYAKE for closely reading some parts of the text and providing useful suggestions.
1218 We dedicate this review paper to the late Professor Shizuo YOSHIDA (who passed away on January 9, 2024), a
1219 pioneer in plant membrane biology at low temperatures, particularly known for his studies on the role of plasma
1220 membrane H &#91;+&#93; -ATPase, and to the late Professor Sakae KATOH (who passed away on May 21, 2025), a pioneer in
1221 photosynthesis research, particularly known for purification of plastocyanin and determination of its role. One of the
1222 authors (I.T.) was enlightened by Prof. Yoshida’s ecophysiological approach. Prof. Katoh taught him how to approach
1223 thylakoid reactions, with incredible patience.
1224

1225

1226 **Declarations**


1227 **Author contributions**


1228 IT and MK conceived the review. RO performed the literature search and data analysis for the meta-analysis (§ 3,
1229 Table S1 and Fig. 3). KT, MK, IT and RO searched the literature for their sections and drafted the manuscript: KT
1230 drafted §§ 1, 4 and 6 and the paragraphs on chilling in § 9.1; MK drafted §§ 2 and 5, the rest of § 9.1, the paragraph
1231 “Ecological implications” in § 9.2, Supplementary Tables S2 and S3, and Supplementary Texts S1–S3; IT drafted the
1232 Introduction, §§ 7 and 8, and the rest of § 9.2. KS and IT compiled the drafts. All authors critically revised the
1233 manuscript and read and approved the final version.
1234

1235

1236 **Funding**


1237 This work was supported by JSPS KAKENHI Grant Numbers JP24K09493 to M.K., JP23KJ1357 to K.T.,
1238 JP25K02047 to R.O., and JP17H05718, JP19H04718, JP22H02640 and JP23K23903 to I.T.; by the Yushan Fellow
1239 Program of the Ministry of Education (MOE), Taiwan (MOE-113-YSFAG-0006-001-P1) to I.T.; and by the National
1240 Science and Technology Council (NSTC), Taiwan (114-2311-B-005-003) to I.T.
1241

1242

1243 **Competing interests**


1244 The authors declare no competing interests.
1245

1246

1247 **Data availability**


1248 Data in this article are available from the corresponding authors upon request.


1249

1250

1251


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1252

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1889

1890

1891

1892

1893

1894

1895

1896


40


1897 **Table 1** Properties of the two CEF-PSI pathways relevant to their division of roles


**Property** **PGR5/PGRL1-dependent pathway** **NDH-dependent pathway** **Key references**


Inhibitor antimycin A-sensitive antimycin A-insensitive Munekage et al. 2002, 2004


Protons per electron, Fd → PQ
none known ~2 H &#91;+&#93; /e &#91;−&#93; (proton pump) Laughlin et al. 2019; Strand et al. 2017
step


Protons per electron, including the Ermakova et al. 2024a; Strand et al.
2 H &#91;+&#93; /e &#91;−&#93; ~4 H &#91;+&#93; /e &#91;−&#93;
cytochrome _b_ 6 _f_ Q-cycle 2017


Abundance (copies per PSI,
~0.07 (PGR5) ~0.02 Ermakova et al. 2024a
_Arabidopsis_ )



1–2 orders of magnitude slower than the direct Fd–
Relative speed &#91;a&#93; fast
cytochrome _b_ 6 _f_ route; ~4–10 e &#91;−&#93; s &#91;−1&#93; PSI &#91;−1&#93; (estimate)



Ermakova et al. 2024a; Nawrocki et al.

2019; Strand et al. 2017



Contribution to pmf under steady
red light ( _Arabidopsis_ )


Proton conductivity of the ATP
synthase ( _g_ H &#91;+&#93; )



large (30–47% lower pmf in _pgr5_ at ≥ 138 µmol
small (8–14% lower pmf in NDH mutants) Wang et al. 2015
photons m &#91;−2&#93; s &#91;−1&#93; )



elevated _g_ H &#91;+&#93; in _pgr5_ under high light suggests
that PGR5 lowers _g_ H &#91;+&#93; ; normalized by FLV in
_pgr5_, so the effect may be indirect



Degen et al. 2023; Rantala et al. 2020;
unaffected in NDH mutants
Suorsa et al. 2012; Wang et al. 2015



within seconds of high light; relaxes in the dark
Activation
with a half-time of ~20 s



by H 2 O 2 over minutes (half-time ~20 min); protein
content increases under prolonged H 2 O 2 stress and
after PSI damage


~670 µM, partially competitive; activity retained at
high ATP


41



Joliot and Johnson 2011; Rantala et al.

2020; Strand et al. 2015


Cleland and Bendall 1992; Fisher et al.

2019



Inhibition by ATP ( _K_ i ) &#91;b&#93;



~240 µM, competitive with Fd; no effect of ATP
or ADP up to 1 mM in an earlier assay in pea
thylakoids


Apparent _K_ m for Fd &#91;b&#93;



~1 µM; higher in older assays (optimum ~10 µM
in air; saturation at ~75 µM reduced Fd under
anaerobic conditions)



~2 µM; high affinity requires NdhS (Arg-193)



Arnon and Chain 1975; Cleland and

Bendall 1992; Fisher et al. 2019;

Yamamoto and Shikanai 2013;

Yamamoto et al. 2011



forward reaction requires Δ _E_ h                                           - _n_                                           - Δp; shown _in_
Thermodynamic limit by Δp none expected (no proton pump) Fisher et al. 2019; Strand et al. 2017
_vitro_, uncertain _in vivo_



Supercomplex with PSI —



formed via Lhca5 and Lhca6; stabilizes NDH
(partially disassembled in chilled cucumber) but is
not required for its activity



Otani et al. 2017; Shikanai et al. 2025;

Takeuchi et al. 2026; Ueda et al. 2012



1898 a Calculated from the NDH content (approximately 0.02 per PSI in _Arabidopsis_ and 0.05 per PSI in tobacco; Ermakova et al. 2024a; Strand et al. 2017) and a maximal turnover similar to that of


1899 respiratory complex I (approximately 200 e &#91;−&#93; s &#91;−1&#93; ; Strand et al. 2017); the lower value applies to _Arabidopsis_ . The flux has not been measured directly.


1900 b Measured in uncoupled thylakoids, that is, in the absence of a pmf, from _A. hybridus_ with antimycin A (NDH) and from spinach, in which most of the activity is antimycin A-sensitive (Fisher


1901 et al. 2019). The _K_ m of NDH is less certain, because the rate was not saturated at the highest Fd concentration tested (~5.5 µM). The older assays measured only the antimycin A-sensitive pathway,


1902 under other conditions, and cannot be compared directly (Text S1).


1903


1904


1905


1906


1907


42


1908 **Table 2** Two light regimes and the resulting division of roles between the CEF-PSI pathways


**Red FL (high-light phase unless stated)** **FR-supplemented FL (both phases)**


Main cause of P700 oxidation pmf-driven restriction at cytochrome _b_ 6 _f_ (photosynthetic control) excitation balance (selective PSI excitation)


PQ pool reduced oxidized


Inputs of photosynthetic control pH input and redox input both engaged pH input only, weak in the low-light phase


pmf high in the high-light phase; collapses in _pgr5_ moderate; total pmf not clearly changed by FR


Δ _E_ h − _n_    - Δp for NDH &#91;a&#93; near zero; NDH held back large; NDH forward reaction favored


PGR5/PGRL1 pathway rate-limiting: builds and holds the pmf not required for P700 oxidation



NDH pathway minor in _Arabidopsis_ ; larger in rice



main route for recycling electrons at low flux, with high proton


efficiency


low-light phase: 0.389 / 0.224


high-light phase: 0.528 / 0.232



Y(ND) / Y(NA), wild type



low-light phase: 0.006 / 0.432


high-light phase: 0.253 / 0.428



Decisive observation _pgr5_ P m ~20%; _crr2-2_ ~10% worse than the wild type WT P m ~97%; _pgr5_ ~92%; _crr2-2_, _crr4-3_ ~80%


Main data sources Kono and Terashima 2016; Kono et al. 2017 Kono et al. 2017, 2020


1909 Y(ND) and Y(NA) are values for wild-type _Arabidopsis_ 10 s after the 100th high-light pulse (low-light phase) and during the pulse (high-light phase) in the FL regime of Kono et al. (2017),


1910 without FR (left) and with FR (right). P m values are those after the FL treatment, expressed relative to the value before the treatment. Other entries summarize §§ 5.2 and 5.3.


1911 a Inferred from the redox–Δp gating hypothesis; not measured _in vivo_ (§ 5.4; Table S2, row 1).


1912


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1913 **Fig. 1**


1914

1915

1916 **Fig. 1 Temporal progression of chilling-induced PSI photoinhibition.**
1917 Within the first 0.5 h of the onset of chilling stress, suppression of the CBB cycle and possible decrease in thylakoid
1918 membrane fluidity cause transient over-reduction of the photosynthetic electron transport chain and ROS production
1919 (1, 2) (Phase 1). These early redox changes and changes in membrane physics would weaken the association of CF1
1920 with the thylakoid membrane, resulting in uncoupling of the chloroplast ATP synthase (3-1), as well as destabilization
1921 of the PSI–NDH supercomplex (3-2). Both changes occur within the first hour of chilling (upper panel). The
1922 weakened association of CF₁ allows H⁺ to leak from the lumen into the stroma, thereby dissipating ΔpH and
1923 weakening photosynthetic control at the Cyt b6fcomplex (4-1). At the same time, destabilization of the PSI–NDH
1924 supercomplex leaves NDH in an inactive monomeric form, reducing NDH-mediated Fd oxidation (4-2) (Phase 2).
1925 The combined impairment of photosynthetic control and Fd oxidation leads to a marked decline in P700 oxidation
1926 capacity between 2 and 5 h after the onset of chilling, accompanied by further ROS production in PSI and damage to
1927 the Fe–S clusters and PSI core proteins (5; lower panel) (Phase 3).


1928


44


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1929 **Fig. 2**


1930


1931


1932 **Fig. 2 Quenching analysis curves in the cucumber leaf segments after the light-chilling treatment.**
1933 Cucumber ‘Nanshin’ leaf segments were treated at 4 °C and an irradiance of 100 µmol photons m &#91;-2&#93; s &#91;-1&#93; . a, control leaf
1934 segment kept in the dark at 23 °C (RTD); b, leaf segment treated at 4 °C in the light for 30 min (LTL-30 min); c,
1935 LTL-60 min; and d, LTL-120 min. Fluorescence was measured with a Dual-PAM (Walz, Germany) at 23 °C. The
1936 irradiance level of the actinic light (red LEDs at 635 nm) was 100 µmol photons m &#91;-2&#93; s &#91;-1&#93; . As _F_ _m_ ’ levels were nearly
1937 constant in c and d, development of NPQ was suppressed by the chilling treatment in the light for 60 to 120 min. This
1938 may be explained by the loose association of CF 1 of ATP synthase with the thylakoid membrane. The quantum yield
1939 of PSII photochemistry, _Y(II)_ = ( _F_ m ’– _F_ s ’)/ _F_ m ’, measured at 23 °C decreased from 0.68 (control) to 0.1 at 2 h with
1940 the increasing damage to PSI. Reproduced from Kono et al. (2022) with permission from the publisher.


1941


45


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1942


1943 **Fig. 3**


1944

1945

1946

1947 **Fig. 3 Boxplot of** _**K**_ **pi** **/** _**I**_ **(a) and scatter plots between Y(ND) and** _**K**_ **pi** **/** _**I**_ **(b) and between Y(NA) and** _**K**_ **pi** **/** _**I**_ **(c)**
1948 **produced from meta-analysis of recent PSI photoinhibition studies.** Categories from 1 to 8 in panel (a) indicate
1949 different types of photoinhibition environments as follows: 1, 2, 3 and 4 indicate the data gained under steady-light
1950 conditions using isolated thylakoids, leaves in chilling condition, leaves in moderate temperature, and leaves of _A_ .
1951 _thaliana pgr5_ in moderate temperature, respectively. 5, 6, 7 and 8 indicate the data with leaves in fluctuating light
1952 condition, leaves in intermittent light condition, leaves in fluctuating light condition with very strong light and leaves
1953 in intermittent light condition with very strong light, respectively. We classified treatments with an irradiance of
1954 10,000 µmol photons m⁻² s⁻¹ or higher during the high-light phase as very-strong-light treatments. The data of _A_ .
1955 _thaliana pgr5_ obtained under FL or intermittent light are not included in the boxes of categories 5 and 8 but are shown
1956 as red points. Different letters indicate statistically significant differences among the categories according to the
1957 Games-Howell test. In panel (b), Y(ND) was calculated as proportion of P700 &#91;+&#93; at 1 s from the start of high-light
1958 phase in the fluctuating-light conditions to the maximum P700 &#91;+&#93; . In the case of Takagi et al. 2017b, the maximum
1959 P700 &#91;+&#93; was measured under pulse light (5,000 µmol photons m &#91;-2&#93; s &#91;-1&#93; ) condition without far-red light. In the case of
1960 Kono et al. 2017, Y(ND) was calculated with the data measured at 100th high-light phase, in which we considered
1961 the PSI photoinhibition was still small. In panel (c), Y(NA) was calculated as (P m – P m ’)/P m, where P m means total
1962 P700 measured under saturating pulse with far-red light and P m ’ means the P700 &#91;+&#93; measured under saturating pulse at
1963 a steady state of high-light phase in the fluctuating-light conditions. We should note that the timing of the
1964 measurement was different in panel (b): at 1 s and in panel (c): at a steady state. In panel (b) and (c), the data of
1965 references in categories from 1 to 4 and references in which Y(ND) or Y(NA) was measured at a light intensity
1966 different from that of the high-light phase were not included.


1967


1968


46


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1969 **Fig. 4**


1970


1971

1972 **Fig. 4 Light quality sets the redox poise and the pmf, and these gate the two CEF-PSI pathways.** ( **a**, **b** ) Schemes
1973 of the electron transport chain in the high-light phase of red FL ( **a** ) and under FR-supplemented FL ( **b** ); only the light
1974 quality differs between the two panels. Filled PQ, reduced pool; open PQ, oxidized pool; arrow thickness indicates
1975 electron flux; dashed arrows and outlines indicate a pathway that is held back or not required. The 2 H⁺/e⁻ shown at
1976 NDH is the stoichiometry of the NDH pump alone. ( **c** ) Position of the two regimes on the axis Δ _E_ ₕ − _n_ - Δp that
1977 governs the NDH forward reaction (redox–Δp gating hypothesis). The high-light phase of red FL is placed at the
1978 static head (Δ _E_ ₕ − _n_ - Δp ≈ 0) rather than far below it, because the loss of NDH still lowers the light-induced pmf by
1979 ~10% under steady red light (Wang et al. 2015). Two reference states are shown for comparison: leaves with elevated
1980 H₂O₂ (the GO5 line), in which NDH-dependent CEF-PSI operates despite a pmf ~2 times that of the wild type,
1981 because the stroma is strongly reduced (Strand et al. 2015); and the dark period after illumination, in which the post1982 illumination fluorescence rise (PIFR) is measured at Δp ≈ 0. The axis is schematic; positions indicate only the sign
1983 of the term and relative distances. ( **d** ) Two-axis summary: the means by which P700 is kept oxidized (rows) and the
1984 pathway that supplies the pmf and ATP when linear flow is low (columns); the H⁺/e⁻ values include the Q-cycle of
1985 the cytochrome _b_ ₆ _f_ complex. Data from Kodama and Yamori (2026), Kono and Terashima (2016), Kono et al. (2017,
1986 2025), Theeuwen et al. (2022), Wang et al. (2015) and Yamori et al. (2011, 2016). CEF-PSI, cyclic electron flow
1987 around PSI; Cyt, cytochrome; Fd, ferredoxin; FL, fluctuating light; FR, far-red light; NDH, NADH dehydrogenase1988 like complex; PC, plastocyanin; pmf, proton motive force; PQ, plastoquinone.


1989


47


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1990 **Fig. 5**


1991

1992


1993 **Fig. 5** **Proposed mechanisms of ROS production in PSI under different environmental conditions.** ( **a** ) Under


1994 continuous high light, partial damage to F A /F B may occur without leading to irreversible PSI core damage.


1995 Photosynthetic control maintains P700 in its oxidized state (P700⁺), allowing excess electrons to be safely removed


1996 through charge recombination from F X to P700⁺ via the A-branch, even when F A /F B is partially damaged. ( **b** ) Under


1997 repetitive saturating pulses, P700⁺ and reduced A 0 /A 1 are more likely to coexist. Consequently, charge recombination


1998 via the B-branch may generate &#91;3&#93; P700* more frequently and thereby increase &#91;1&#93; O 2 formation, potentially accounting


1999 for preferential damage near the PSI reaction center. ( **c** ) In cucumber, chilling-induced PSI photoinhibition progresses


2000 even under relatively weak light. At low temperature, the decline in NDH activity, together with uncoupling of the


2001 chloroplast H⁺-ATP synthase, impairs ΔpH formation and photosynthetic control. Consequently, over-reduction may


2002 extend beyond F A /F B to F X and A 1 . Because P700⁺ accumulation is also suppressed, safe removal of excess electrons


2003 through charge recombination from F X &#91;–&#93; to P700⁺ becomes less effective. Electrons may therefore leak to O 2 from


2004 multiple acceptors, including A 1 and F A /F B, promoting O 2 &#91;•&#93; ⁻ production. The resulting O 2 &#91;•&#93; ⁻ may directly damage the


2005 Fe–S clusters or undergo nonenzymatic or SOD-catalyzed dismutation to form H 2 O 2 . The H 2 O 2 thus produced can


2006 generate •OH through Fenton reactions involving the Fe–S clusters or free Fe &#91;2+&#93;, leading to further oxidative damage.


48


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1 _Journal of Plant Research_


2 **Supplementary Information**


3 **PSI photoinhibition and protection at low temperatures and in fluctuating light: An ecophysiological vista**


4 Ko Takeuchi &#91;1&#93;, Riichi Oguchi &#91;2&#93;, Kazuhiko Sugimoto &#91;3&#93;, Ichiro Terashima &#91;3&#93; *, Masaru Kono &#91;4, 5&#93; 

5 1 Graduate School for Agricultural Science, Kobe University, 1-1 Rokkodai, Nada, Kobe, 657-8501, Japan


6 2 Graduate School of Science, Osaka Metropolitan University, 2000, Kisaichi, Katano-shi, Osaka, 576-0004, Japan


7 3 Institute of Molecular Biology, National Chung Hsing University, 145 Xingda Rd., South Dist., Taichung 40227,

8 Taiwan


9 4 Exo-Life Search Project Office, Astrobiology Center, National Institutes of Natural Sciences (NINS), 2-21-1 Osawa,

10 Mitaka, Tokyo 181-8588, Japan


11 5 Laboratory for Chemistry and Life Science, Institute of Integrated Research, Institute of Science Tokyo, 4259

12 Nagatsuta-cho, Midori-ku, Yokohama, Kanagawa 226-8501, Japan


13


14 *Corresponding authors


15 Ichiro Terashima &#91;3&#93; : terashimaichiro@nchu.edu.tw


16 Masaru Kono &#91;4, 5&#93; : konom07@bs.s.u-tokyo.ac.jp


1


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17 **Supplementary Materials**


18 Contents

19 1. Supplementary Table S1 and Explanatory Notes
20 2. Supplementary Text S1
21 3. Supplementary Table S2 and Supplementary Text S2
22 4. Supplementary Table S3 and Supplementary Text S3
23


24 **1.** **Supplementary Table S1 and Explanatory Notes.**


25 We summarize the results of PSI photoinhibition studies. Experimental conditions and results are shown as follows.
26


27 Samples: Intact leaves, detached leaves, leaf discs, or isolated thylakoids are categorized.


28 Species: Species names (common names) are listed. Experiments using the _pgr5_ mutant of _Arabidopsis_
29 _thaliana_ are shown in bold.

30  Photoinhibition temperatures: _T_ (°C).


31 Photoinhibition light regimes: Light treatments used are categorized into continuous (C), fluctuating (F) and
32 intermittent (I) lighting regimes.


33 Photoinhibition irradiances: The irradiance level (photosynthetic photon flux density) in μmol m &#91;-2&#93; s &#91;-1&#93; is
34 shown. For fluctuating light treatments, all irradiance levels employed are shown like A/B/C.


35 The photoinhibition photon-exposure, or cumulative irradiance, in mol m &#91;-2&#93; is listed.


36 The residual PSI activity after the treatment is shown as %PSI.
37  The rate constant of PSI photoinhibition divided by irradiance, _K_ pi / _I_ ( (mol photons) &#91;-1&#93; m &#91;2&#93; ) is shown. For _K_ pi
38 calculation, see main text.


2


39 **Supplementary Table S1.** Summary of PSI photoinhibition studies

|Paper|Samples|Species|T|Light|Irradiance|Exposure|PSI%|K pi/I|
|---|---|---|---|---|---|---|---|---|
|Satoh 1970a|thylakoids|_Spinacia oleracea_ L. (Spinach)|25|C|240|0.86|42|1.004|
|Satoh 1970a|thylakoids|Spinach|4|C|240|0.86|88|0.148|
|Sonoike 1995|thylakoids|_Cucumis sativus_ L. (Cucumber)|5|C|300|5.4|50|0.128|
|Sonoike 1995|thylakoids|Cucumber|5|C|100|1.8|63|0.257|
|Sonoike 1995|thylakoids|Cucumber|5|C|200|3.6|40|0.255|
|Sonoike 1995|thylakoids|Cucumber|25|C|200|1.08|70|0.330|
|Sonoike 1995|thylakoids|Spinach|25|C|300|1.62|28|0.797|
|Sonoike 1995|thylakoids|Spinach|5|C|100|1.8|28|0.717|
|Sonoike 1995|thylakoids|Spinach|25|C|100|0.54|33|2.053|
|Sonoike 1999|thylakoids|Cucumber|0|C|110|1.98|38|0.489|
|Sonoike 1999|thylakoids|Cucumber|4|C|110|1.98|42|0.438|
|Sonoike 1999|thylakoids|Cucumber|0|C|60|1.08|45|0.739|
|Sonoike 1999|thylakoids|Cucumber|4|C|60|1.08|48|0.680|
|Terashima et al. 1994|Leaf|Cucumber|4|C|220|5.94|25|0.233|
|Havaux and Davaud 1994|Leaf disc|_Solanum tuberosum_ L. (Potato)|3|C|3500|4.2|75|0.068|
|Havaux and Davaud 1994|Leaf disc|Potato|2|C|900|8.1|57|0.069|
|Havaux and Davaud 1994|Leaf disc|Potato|2|C|3700|6.66|64|0.067|
|Terashima et al. 1998|Leaf intact|Cucumber|5|C|200|2.16|60|0.236|
|Terashima et al. 1998|Leaf intact|Cucumber|5|C|200|4.32|40|0.212|
|Tjus et al. 1998|Detached leaf|_Hordeum vulgare_ L. (Barley)|4|C|100|2.88|80|0.077|
|Ivanov et al. 1998|Detached leaf|_Secale cereale_ L. (Winter rye)|5|C|1600|23.0|66|0.018|
|Ivanov et al. 1998|Detached leaf|Winter rye|5|C|1600|23.0|69|0.016|
|Ivanov et al. 1998|Detached leaf|Winter rye|5|C|1600|23.0|92|0.004|



3


|Ivanovetal 1998&lt;br&gt;.|Detachedleaf|Winterrye|5|C|1600|230&lt;br&gt;.|59|0023&lt;br&gt;.|
|---|---|---|---|---|---|---|---|---|
|Ivanov et al. 1998|Detached leaf|Winter rye|5|C|1600|23.0|108|-0.003|
|Teicher et al. 2000|Leaf|Barley|Chilling|C|150|30.2|88|0.004|
|Teicher et al. 2000|Leaf|Barley|Chilling|C|150|30.2|90|0.004|
|Kornyeyev et al. 2003|Leaf disc|_Gossypium hirsutum_ L. (Cotton)|10|C|500|7.2|50|0.096|
|Kornyeyev et al. 2003|Leaf disc|Cotton|10|C|500|7.2|67|0.056|
|Zhang and Scheller 2004|Leaf|_Arabidopsis thaliana_ (L.)&lt;br&gt;Heynh. WT.&lt;br&gt;(_A. thaliana_ WT)|4|C|150|2.7|71|0.126|
|Ivanov et al. 2012|Leaf|_A_. _thaliana_ WT|5|**C **|600|4.32|33|0.260|
|Ivanov et al. 2012|Leaf|_A_. _thaliana_ WT|5|C|600|4.32|63|0.107|
|Cazzaniga et al. 2012|Leaf intact|_A_. _thaliana_ WT|8|C|550|5.94|65|0.073|
|Zhang et al. 2014|Leaf disc|Cucumber|6|C|400|13.0|51|0.052|
|Zhang et al. 2014|Leaf disc|Cucumber|6|C|400|13.0|36|0.079|
|Zhang et al. 2016|Leaf intact|Cucumber|6|C|200|4.32|33|0.257|
|Zhang et al. 2016|Leaf intact|Cucumber|6|C|200|4.32|63|0.107|
|Havaux and Davaud 1994|Leaf disc|Potato|23|C|3500|4.2|96|0.010|
|Havaux and Davaud 1994|Leaf disc|Potato|25|C|3700|6.66|82|0.030|
|Sonoike 1999|Detached leaf|Cucumber|20|C|200|3.6|100|0.000|
|Tikkanen et al. 2014|Leaf|_A_. _thaliana_ WT|RT|C|800|5.76|100|0.000|
|**Tikkanen et al. 2014**|**Leaf**|**_A_. ****_thaliana_ ****_pgr5_**|**RT**|**C **|**800**|**5.76**|**80**|**0.039**|
|Tikkanen et al. 2014|Leaf|_A_. _thaliana_ WT|RT|C|800|5.76|100|0.000|
|**Tikkanen et al. 2014**|**Leaf**|**_A_. ****_thaliana_ ****_pgr5_**|**RT**|**C **|**800**|**5.76**|**50**|**0.120**|
|**Lima-Melo et al. 2019**|**Leaf intact**|**_A_. ****_thaliana_ ****_pgr5_**|**23**|**C **|**1000**|**0.9**|**60**|**0.568**|
|Huang et al. 2016|Leaf intact|_Psychotria henryi_H. Lév.|RT|C|2258|13.5|75|0.021|


4


|Oguchietal 2021&lt;br&gt;.|Leafintact|CapsicumannuumL&lt;br&gt;.|RT|C|950|456&lt;br&gt;.|96|0009&lt;br&gt;.|
|---|---|---|---|---|---|---|---|---|
|Oguchi et al. 2021|Leaf intact|_C. annuum_|RT|C|950|4.56|92|0.018|
|**Tiwari et al. 2024**|**Detached leaf**|**_A_. ****_thaliana_ ****_pgr5_**|**RT**|**C **|**850**|**6.12**|**34**|**0.177**|
|Tiwari et al. 2024|Detached leaf|_A_. _thaliana_ WT|RT|C|850|6.12|100|0.000|
|Tsuyama and Kobayashi&lt;br&gt;2009|Leaf|_A_. _thaliana_ WT|RT|F|8000/60|12.3|72|0.027|
|Tsuyama and Kobayashi&lt;br&gt;2009|Leaf|_A_. _thaliana_ _crr2-2_|RT|F|8000/60|12.3|33|0.090|
|Kono et al. 2014|Leaf|_A_. _thaliana_ WT|RT|F|240/30|0.340|89|0.343|
|**Kono et al. 2014**|**Leaf**|**_A_. ****_thaliana_ ****_pgr5_**|**RT**|**F **|**240/30**|**0.340**|**62**|**1.405**|
|Huang et al. 2016|Leaf intact|_P. henryi_|RT|F|1294/100|2.51|95|0.019|
|Huang et al. 2016|Leaf intact|_P. henryi_|RT|F|2258/94|7.08|93|0.010|
|Kono et al. 2017|Leaf|_A_. _thaliana_ WT|RT|F|1200/30|0.84|72|0.399|
|Kono et al. 2017|Leaf|_A_. _thaliana_ WT|RT|F|1200/135|1.54|85|0.106|
|Kono et al. 2017|Leaf|_A_. _thaliana_ WT|RT|F|1200+FR(25.6 W&lt;br&gt;m-2)|0.64|97|0.048|
|Kono et al. 2017|Leaf|_A_. _thaliana_ WT|RT|F|1200+FR(12.1 W&lt;br&gt;m-2)|0.64|95|0.080|
|Kono et al. 2017|Leaf|_A_. _thaliana_ WT|RT|F|1200+FR(3.93 W&lt;br&gt;m-2)|0.64|86|0.236|
|Tikkanen and Grebe 2018|Leaf|_A_. _thaliana_ WT|RT|F|5000/100/80|3.73|30|0.323|
|Yang et al. 2019|Leaf|_Prunus cerasoides_Buch.-Ham.&lt;br&gt;ex D. Don|RT|F|1809/59|1.12|95|0.046|
|Yang et al. 2019|Leaf|_P. cerasoides_|RT|F|1809/59|1.12|84|0.156|
|Lempiäinen et al. 2022|Leaf intact|_A_. _thaliana_ WT|25|F|3200/100/35|2.17|39|0.434|


5


|Lempiäinenetal 2022&lt;br&gt;.|Leafintact|A thalianaWT&lt;br&gt;.|25|F|3200/100/35|434&lt;br&gt;.|15|0437&lt;br&gt;.|
|---|---|---|---|---|---|---|---|---|
|Kono et al. 2017|Leaf|_A_. _thaliana_ WT|RT|I|1200|0.64|63|0.722|
|Takagi et al. 2017b|Leaf|_Helianthus annuus_ L.&lt;br&gt;(Sunflower)|25|I|5000|1.80|35|0.583|
|Takagi et al. 2017b|Leaf|_Zea mays_L.|25|I|5000|1.80|38|0.538|
|Takagi et al. 2017b|Leaf|_Rhipsalis baccifera_(J.S.Muell.)&lt;br&gt;Stearn|25|I|5000|1.80|57|0.312|
|Takagi et al. 2017b|Leaf|_Eucalyptus globulus_Labill.|25|I|5000|1.80|44|0.456|
|Takagi et al. 2017b|Leaf|_Olea europaea_L.|25|I|5000|1.80|46|0.431|
|Takagi et al. 2017b|Leaf|_Quercus glauca_Thunb.|25|I|5000|1.80|37|0.552|
|Takagi et al. 2017b|Leaf|_Camellia japonica_L.|25|I|5000|1.80|75|0.160|
|Takagi et al. 2017b|Leaf|_Osmanthus fragrans_(Thunb.)&lt;br&gt;Lour.|25|I|5000|1.80|41|0.495|
|Takagi et al. 2017b|Leaf|_Acer palmatum_Thunb.|25|I|5000|1.80|60|0.284|
|Takagi et al. 2017b|Leaf|_Populus nigra L._|25|I|5000|1.80|59|0.293|
|Takagi et al. 2017b|Leaf|_Prunus × yedoensis_Matsum.&lt;br&gt;‘Somei-yoshino’|25|I|5000|1.80|51|0.374|
|Takagi et al. 2017b|Leaf|_Sequoia sempervirens_(Lamb.)&lt;br&gt;Endl.|25|I|5000|1.80|89|0.065|
|Takagi et al. 2017b|Leaf|_Pinus thunbergii_Parl.|25|I|5000|1.80|96|0.023|
|Takagi et al. 2017b|Leaf|_Cedrus deodara_(Roxb. ex&lt;br&gt;D.Don) G.Don|25|I|5000|1.80|92|0.046|
|Takagi et al. 2017b|Leaf|_Juniperus chinensis_L.|25|I|5000|1.80|94|0.034|
|Takagi et al. 2017b|Leaf|_Podocarpus macrophyllus_&lt;br&gt;(Thunb.) Sweet|25|I|5000|1.80|90|0.059|



6


|Takagietal 2017b&lt;br&gt;.|Leaf|CycasrevolutaThunb&lt;br&gt;.|25|I|5000|180&lt;br&gt;.|95|0028&lt;br&gt;.|
|---|---|---|---|---|---|---|---|---|
|Takagi et al. 2017b|Leaf|_Ginkgo biloba_L.|25|I|5000|1.80|79|0.131|
|Takagi et al. 2017b|Leaf|_Matteuccia struthiopteris_(L.)&lt;br&gt;Tod.|25|I|5000|1.80|73|0.179|
|Takagi et al. 2017b|Leaf|_Selaginella moellendorffii_&lt;br&gt;Hieron.|25|I|5000|1.80|70|0.198|
|Takagi et al. 2017b|Leaf|_Phlebodium aureum_(L.) J.Sm.|25|I|5000|1.80|79|0.131|
|Takagi et al. 2017b|Leaf|_Nephrolepis cordifolia_(L.)&lt;br&gt;C.Presl|25|I|5000|1.80|80|0.124|
|Takagi et al. 2017b|Leaf|_Equisetum arvense_L.|25|I|5000|1.80|87|0.077|
|Takagi et al. 2017b|Leaf|_Pyrrosia lingua_(Thunb.) Farw.|25|I|5000|1.80|76|0.152|
|Takagi et al. 2017b|Leaf|_Dryopteris erythrosora_&lt;br&gt;(D.C.Eaton) Kuntze|25|I|5000|1.80|78|0.138|
|Takagi et al. 2017b|Leaf|_Botrychium ternatum_(Thunb.)&lt;br&gt;Sw.|25|I|5000|1.80|90|0.059|
|Takagi et al. 2017b|Leaf|_Marchantia polymorpha L._|25|I|5000|1.80|70|0.198|
|Takagi et al. 2017b|Leaf|_Conocephalum conicum_(L.)&lt;br&gt;Dum.|25|I|5000|1.80|48|0.414|
|Takagi et al. 2017b|Leaf|_Polytrichum juniperinum_Willd.&lt;br&gt;ex Hedw.|25|I|5000|1.80|96|0.023|
|Takagi et al. 2017b|Leaf|_Hypopterygium fauriei_Besch.|25|I|5000|1.80|62|0.266|
|Sejima et al. 2014|Leaf|Sunflower|RT|F|21400/1400|28.80|85|0.006|
|Sejima et al. 2014|Leaf|Sunflower|RT|F|20580/580|16.99|65|0.025|
|Sejima et al. 2014|Leaf|Sunflower|RT|F|20200/200|11.52|21|0.135|
|Sejima et al. 2014|Leaf|Sunflower|RT|I|20000|8.64|10|0.267|


7


|Zivcaketal 2015&lt;br&gt;.|Leaf|TriticumaestivumL (Wheat)&lt;br&gt;.|RT|I|15000|041&lt;br&gt;.|45|1972&lt;br&gt;.|
|---|---|---|---|---|---|---|---|---|
|Takagi et al. 2016|Isolated chloroplasts|Spinach|25|I|20000|2.16|15|0.878|
|Takagi et al. 2019|Leaf|Wheat|25|I|20000|2.16|35|0.486|
|Takagi et al. 2019|Leaf|Wheat|25|I|20000|2.16|58|0.256|
|Furutani et al. 2023|Leaf intact|_A_. _thaliana_ WT|RT|I|15000|0.81|28|1.554|
|**Furutani et al. 2023**|**Leaf intact**|**_A_. ****_thaliana_ ****_pgr5_**|**RT**|**I **|**15000**|**0.81**|**28**|**1.556**|


40 Satoh (1970a) irradiated the thylakoid samples with light from tungsten lamps at 12000 lux, which may be converted to PPFD at 240 µmol m &#91;-2&#93; s &#91;-1&#93; .
41


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42 **References**


43


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130

131


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132
133 **2.** **Supplementary Text S1.**


134 **Affinity of CEF-PSI pathways to Fd.**


135 This text expands the paragraph "Interaction with Fd" in § 5.1. It gives the sources and conditions of the values
136 quoted there, compares the two CEF-PSI pathways with the other Fd-dependent enzymes of the stroma, summarizes
137 what is known about the amount and redox state of Fd _in vivo_, and lists the open questions, which are taken up in
138 Table S3, prediction 5.


139 **How the two pathways bind Fd.** For NDH, the Fd-binding subunit is NdhS (CRR31), a protein with an SH3-like
140 fold (Yamamoto et al. 2011). In ruptured _Arabidopsis_ chloroplasts, NDH-dependent PQ reduction is almost saturated
141 at 3 µM Fd in the wild type, whereas in _ndhs_ it remains low even at 20 µM Fd; NdhS is thus required for high-affinity
142 binding, although it is not essential for NDH activity (Yamamoto et al. 2011). The binding is electrostatic, as it is for
143 all known Fd complexes (Knaff and Hirasawa 1991): of nine conserved charged residues in the SH3-like domain,
144 only Arg-193 is required, and replacing it by a neutral, acidic or hydrophobic residue lowers the efficiency of Fd145 dependent PQ reduction (Yamamoto and Shikanai 2013). The structure of cyanobacterial NDH-1 shows two
146 candidate Fd-binding sites (Laughlin et al. 2019). For the PGR5-dependent pathway, the picture is less complete. In
147 yeast two-hybrid assays, PGRL1 interacts with Fd, PGR5, the PSI subunit PsaD, Cyt _b_ ₆ and both FNR isoforms, and
148 its interaction with Fd depends on a C-terminal loop (DalCorso et al. 2008). Recombinant PGRL1 binds iron through
149 six conserved cysteines, accepts electrons from Fd reduced by FNR and NADPH, and reduces quinones in a reaction
150 that antimycin A inhibits; on this basis, Hertle et al. (2013) proposed that PGRL1 is the Fd–PQ reductase (FQR).
151 They also quantified the proteins: about 0.70 mmol mol⁻¹ Chl for PGRL1 and about 0.09 for both PGR5 and the
152 NDH subunit NdhH. An involvement of FNR in the antimycin A-sensitive pathway was suggested earlier, because
153 inhibitors of FNR (heparin, dimaleimide) and Fd modified so that it cannot donate electrons to FNR both lowered
154 the FQR activity of pea thylakoids (Cleland and Bendall 1992). Two findings argue against a direct catalytic role of
155 PGR5: it has no cofactor-binding motif (Shikanai 2007), and in leaves of _pgr5_, Fd is more reduced and the Fd156 dependent CEF-PSI measured from the oxidation kinetics of Fd is higher than in the wild type (Maekawa et al. 2024).
157 The same _in vivo_ measurement shows that this Fd-dependent activity does not require NDH, because it is present in
158 _crr4_ (Ohnishi et al. 2023). The identity of the enzyme that oxidizes Fd in the antimycin A-sensitive pathway therefore
159 remains open (Table S2, row 8).


160 **What the affinity values mean.** The only study that measured both pathways in the same system is that of Fisher et
161 al. (2019), who followed the post-illumination fluorescence rise in uncoupled thylakoids supplied with Fd and
162 NADPH. In _A. hybridus_ thylakoids with antimycin A, which isolates NDH, the apparent _K_ m for Fd was 2.1 ± 0.6 µM;
163 the rate was still rising at the highest concentration tested, 5.5 µM, which was about 70% of the fitted maximum, so
164 this value is a lower estimate. In spinach thylakoids without antimycin A, in which most of the activity is antimycin
165 A-sensitive, the apparent _K_ m was 1.3 ± 0.4 µM and the rate saturated near 2 µM. The two values thus differ by less
166 than their uncertainty, and they were obtained in different species. Earlier studies of the antimycin A-sensitive
167 pathway reported larger Fd requirements, but under different conditions. Tagawa et al. (1963) found that cyclic
168 photophosphorylation by broken spinach chloroplasts under anaerobic conditions needed up to ten times more Fd
169 than non-cyclic photophosphorylation. Arnon and Chain (1975) measured cyclic photophosphorylation under 715170 nm light in air and found an optimum at about 10 µM Fd, with about ten times more needed under anaerobic
171 conditions; they also showed that the cycle required a small supply of electrons from PSII, because DCMU abolished
172 it. Cleland and Bendall (1992) measured the oxidation of Fd by FQR directly, from the absorbance of Fd at 463 nm,
173 in uncoupled pea thylakoids under anaerobic conditions with DCMU. The rate increased with the concentration of
174 reduced Fd and saturated at about 75 µM. These assays differ from that of Fisher et al. (2019) in three ways. First,
175 they measured ATP synthesis or the oxidation of Fd rather than the reduction of PQ. Second, the redox poise of the
176 system was set differently. In the assays in air, O₂ also accepts electrons from reduced Fd; Arnon and Chain (1975)
177 attributed the lower activity at Fd concentrations above the optimum to this re-oxidation of reduced Fd by O₂ rather
178 than by the cycle. In the anaerobic assay of Cleland and Bendall (1992), Fd was reduced photochemically with


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179 deazaflavin before the thylakoids were added. Third, none of them measured NDH. The older values therefore
180 describe the dependence of the antimycin A-sensitive pathway on reduced Fd rather than its affinity for Fd, and they
181 cannot be compared directly with the _K_ m values of Fisher et al. (2019). What the old and new studies agree on is that
182 the antimycin A-sensitive pathway is not saturated at 1 µM Fd, the concentration used in many assays (e.g., Fisher et
183 al. 2019).


184 **Comparison with FNR and the assimilatory enzymes.** The affinities of the stromal Fd-dependent enzymes for Fd
185 were reviewed by Knaff and Hirasawa (1991). For FNR, the dissociation constant of the Fd–FNR complex at low
186 ionic strength is below 50 nM in the absence of NADP⁺ and rises to about 0.5 µM when the NADP⁺ site is occupied,
187 a negative cooperativity that helps the oxidized Fd to leave the enzyme after each turnover (Batie and Kamin 1984a,
188 b); at physiological ionic strength, the dissociation constant is 1–10 µM (Knaff and Hirasawa 1991). The dissociation
189 constants for Fd are 0.63–1.0 µM for nitrite reductase, rising to 11 µM when nitrite is bound; 9–14.5 µM for Fd190 dependent glutamate synthase, whose _K_ m for Fd is about 2 µM; and below 100 nM for Fd–thioredoxin reductase
191 (Knaff and Hirasawa 1991). All these complexes are electrostatic, and FNR, nitrite reductase and glutamate synthase
192 may share a common binding surface on Fd, whereas Fd–thioredoxin reductase may use a different one (Knaff and
193 Hirasawa 1991). Two conclusions follow for CEF-PSI. First, the _K_ m values of the two pathways (1–2 µM) are of the
194 same order as the affinities of FNR and the assimilatory enzymes, so neither pathway has a special advantage in the
195 competition for reduced Fd. Second, FNR is the most abundant competitor: in spinach chloroplasts, the molar ratio
196 of Fd to FNR is about 5 : 3 (Böhme 1978) and about 2 : 1 (Terashima and Inoue 1985). As long as NADP⁺ is available,
197 FNR with its high affinity and high turnover will take most of the reduced Fd, and the cyclic pathways receive
198 electrons mainly when NADP⁺ runs short. This is exactly what Tagawa et al. (1963) observed in broken chloroplasts,
199 where cyclic photophosphorylation started at the moment when NADP⁺ was exhausted, and what is seen in leaves,
200 where the Fd-dependent CEF-PSI appears when linear electron flow is saturated (Ohnishi et al. 2023; see below).


201 **Fd content, its redox state and the supply to CEF-PSI.** The amount of Fd in spinach chloroplasts has been
202 measured directly. By quantitative immunoelectrophoresis, Böhme (1978) found Fd : FNR : plastocyanin ≈ 5 : 3 : 4
203 per P700, with about 80% of the Fd soluble. In chloroplasts isolated from palisade and spongy tissue, Terashima and
204 Inoue (1985) found 6.1 and 2.9 mmol Fd mol⁻¹ Chl against 2.55 and 2.43 mmol P700 mol⁻¹ Chl, that is, about 2.4
205 and 1.2 Fd per P700, with FNR at about half the amount of Fd; both Fd and FNR were thus lower in the spongy
206 chloroplasts, which receive the weaker and FR-enriched light inside the leaf. Values of two to six Fd per PSI have
207 been compiled for higher plants (Antal et al. 2013). Combined with a chlorophyll concentration of 30–60 mM in the
208 chloroplast (Antal et al. 2013), the Fd contents of 3–6 mmol mol⁻¹ Chl correspond to about 0.1–0.4 mM. Antal et al.
209 (2013) list a somewhat higher value, about 0.6 mM Fd together with 0.3 mM FNR and 0.1 mM PSI, whereas Hanke
210 and Hase (2008) quote about 50 µM; the spread reflects the reference volume and the source of each estimate, but
211 even the lowest value is more than ten times the _K_ m values of the two pathways. Experiments that changed the amount
212 of Fd point to the same conclusion. In transplastomic tobacco with about four times the wild-type Fd content, CEF213 PSI and NPQ were higher, whereas CO₂ assimilation was not (Yamamoto et al. 2006). In antisense potato with 40–
214 80% of the wild-type Fd, CEF-PSI was also higher (the ratio of the quantum yields of PSI and PSII rose from about
215 1.3 to above 3), Q A and P700 were more reduced, and plants with less than 40% Fd were not viable (Holtgrefe et al.
216 2003). That both an increase and a decrease in Fd stimulate CEF-PSI and over-reduce the PQ pool (Hanke and Hase
217 2008) shows that the amount of Fd acts on the redox poise of the chain rather than as a simple substrate. The redox
218 state of Fd can now be followed in leaves with near-infrared absorbance. At steady state, part of the Fd pool remains
219 reduced, and the reduced fraction rises with light intensity (Satoh et al. 2025). The oxidation rate of Fd that is not
220 accounted for by linear electron flow, taken as the rate of Fd-dependent CEF-PSI, appears when linear electron flow
221 is saturated and the PQ pool is oxidized (Ohnishi et al. 2023), increases with the reduced fraction of Fd and falls
222 when the PQ pool becomes reduced (Satoh et al. 2025), and is higher in _pgr5_, in which Fd is more reduced (Maekawa
223 et al. 2024). These results fit a rate proportional to the product of reduced Fd and oxidized PQ, and they identify the
224 reduced fraction of Fd, not its total amount, as the quantity that limits the supply to CEF-PSI _in vivo_ . The isoforms
225 of Fd may add a further level of control. In _Arabidopsis_, Fd2 accounts for 90–99% of the leaf Fd; lowering Fd2 slows
226 linear electron flow, whereas lowering the minor isoform Fd1 increases it and oxidizes the PQ pool, which suggests
227 that Fd1 tends to keep electrons within the chain (Hanke and Hase 2008). In maize, the bundle-sheath isoform FdII


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228 reacts more slowly with FNR than the mesophyll isoform FdI and donates more electrons to the PQ pool (Kimata229 Ariga et al. 2000). Which isoform feeds each CEF-PSI pathway in C₃ leaves is not known.


230 **Open questions (Table S3, prediction 5).** (a) The apparent _K_ m values of the two pathways have not been measured
231 in the same species with the same Fd preparation; the comparison of Fisher et al. (2019) is between _A. hybridus_ and
232 spinach. (b) All _K_ m values come from uncoupled thylakoids. Whether the affinity for Fd changes with Δp has not
233 been tested, and Cleland and Bendall (1992) noted that a regulatory effect of adenylates might appear only in coupled
234 thylakoids. (c) The reduced fraction of Fd under FR, and the share of it taken by FNR, have not been measured; this
235 is the quantity that decides how much substrate the cyclic pathways receive when PSII supplies few electrons. (d)
236 Fisher et al. (2019) found inhibition of both pathways by ATP, whereas Cleland and Bendall (1992) found no effect
237 of ATP or ADP up to 1 mM on the antimycin A-sensitive pathway; the reason for the difference is unknown (Table
238 S2, row 3). (e) Whether PGRL1 is the FQR, and what the role of PGR5 is, remain unsettled (Table S2, row 8). (f)
239 The Fd isoform used by each pathway is not known, and the absolute stromal concentration of Fd is known only to
240 within an order of magnitude.


241


13


242 **3.** **Supplementary Table S2 and Supplementary Text S2**


243 **Supplementary Table S2.** Points of tension in the proposed division of roles between the CEF-PSI pathways


**Issue** **Evidence that complicates the model** **Our position** **What remains open**



1 Does the pmf
hold NDH

back _in vivo_ ?


2 Redox-side

constraint


3 ATP feedback

as an

alternative


4 Two orders of

activation


5 Donor side or
acceptor side?



A light-induced pmf did not inhibit NDH as added
ATP did (Fisher et al. 2019); NDH-dependent CEFPSI active in GO5 despite a pmf ~2× the wild type
(Strand et al. 2015)


Under FR alone in air, the chain is too oxidized for
cyclic flow; fast NDH-dependent cycling needs partly
reduced PQ and NADP pools (Joët et al. 2002); in
isolated chloroplasts, cyclic photophosphorylation
under 715-nm light needs a small supply of electrons
from PSII (Arnon and Chain 1975)


A moderate fall in stromal ATP activates NDH, a
severe fall the PGR5 pathway; _K_ i ~670 vs ~240 µM
(Fisher et al. 2019); but ATP and ADP up to 1 mM had
no effect on the antimycin A-sensitive pathway in an
earlier assay (Cleland and Bendall 1992)


NADPH → PGR5 pathway → H 2 O 2 → NDH over
minutes to hours (Strand et al. 2017) vs ATP fall →
NDH first, within seconds (Fisher et al. 2019)


The primary requirement for protection is an oxidized
acceptor side (Sonoike 2025); P700 can be oxidized



Gating defined by the net driving force (Δ _E_ h − _n_ - Δp) is
compatible with GO5 (strongly reduced stroma) and with
Fisher et al. if their pmf lay below the limiting range, as
the same authors expect at higher pmf; supported by the
increase in the NDH-dependent post-illumination
fluorescence rise on uncoupling in spinach, _A. hybridus_
and _A. thaliana_, smaller in _A. thaliana_ owing to its larger
antimycin A-sensitive share (Strand et al. 2017), by NDH
acting on the PSI acceptor side in the low-light but not
the high-light phases of red FL, possibly owing to its
reverse reaction at large ΔpH (Zhou et al. 2023), and by
its largest contribution under low light in _hope2_ (Degen et
al. 2023)


An oxidized PQ pool favors NDH only while reduced
donors remain; beyond that point, substrate rather than
back-pressure limits the flux


Points the same way as gating under FR and low light,
but is a different mechanism


Different triggers and time scales; both can be true; the
fast sequence is the relevant one for 10-s cycles


Y(ND) is protective only together with low Y(NA); FR
meets both conditions


14



Sign of the net driving force never
measured in a leaf (Table S3, 1–3)


Whether the 10-s low-light phase stays
within the operating window of NDH
(Table S3, 1 and 4)


Stromal ATP under FR never measured,
and the two ATP results conflict (Table
S3, 5); separated from gating by Table
S3, 2


Which route activates NDH under FR
(basal content, carry-over from red
pulses, induction after PSI damage) is
untested


FR raises Y(ND) and lowers Y(NA)
together, so the two cannot be separated


when the stroma is over-reduced (Rantala et al. 2020) with present data (Table S3, 8)



6 Pulse-type
regime


7 How many
protons does
NDH pump?


8 What does

PGR5 do?


9 NDH–PSI
supercomplex


10 What cannot
yet be
measured



1-s pulses of ~3,000 µmol photons m &#91;−2&#93; s &#91;−1&#93; : _pgr5_ and
_ndho_ lose P m to a similar extent as the wild type
(Rantala et al. 2020); the mechanism may differ from
that under FL (Sonoike 2025)


2 H &#91;+&#93; /e &#91;−&#93; inferred from homology and uncoupler
sensitivity; _in vivo_ slopes give 4.6–8.8 H &#91;+&#93; /e &#91;−&#93; for NDHdependent CEF-PSI (Strand et al. 2017); NDH may
poise the chain rather than feed the pmf (Yamori et al.
2011)


No redox cofactor (Shikanai 2007); high PGR5dependent CEF-PSI cannot impose photosynthetic
control when _g_ H &#91;+&#93; is high ( _hope2_ ; Degen et al. 2023);
FLV expression restores the pmf and normalizes _g_ H &#91;+&#93;
in _pgr5_ (Degen et al. 2023; Yamamoto et al. 2016); a
steady-state cycle cannot oxidize P700 by itself
(Vilyanen and Kozuleva 2025)


_lhca6 pgr5_ phenotype lies between _pgr5_ and _crr pgr5_
although NDH is retained (Shikanai et al. 2025); NDH
works without a supercomplex in _Marchantia_ (Ueda
et al. 2012); two candidate Fd-binding sites (Laughlin
et al. 2019)


NDH flux never measured in illuminated leaves; PIFR
is a dark assay of capacity; Fd-dependent PQ
reduction uses ruptured chloroplasts; P700 reoxidation by FR and ETR(I) − ETR(II) are indirect;
proton-flux slopes assume the stoichiometry of linear
flow



Agrees with our FR-free controls (~70% in all
genotypes); genotype dependence appears only with FR
and then runs through NDH


The value of ~2 in Table 1 is supported but not measured;
the poising function does not require a large contribution
to the pmf


Our argument needs only a pathway that builds the pmf
quickly without its own pump; if PGR5 is a regulator, the
"capacity" entries of Table 1 describe the pathway, not the
protein


Not used to explain the wavelength dependence, because
both pathways draw on one pool of reduced Fd


Our FR data rely on Y(ND), which reports P700
oxidation but not the engagement of photosynthetic
control



Whether the 800-ms/1,200 µmol
photons m &#91;−2&#93; s &#91;−1&#93; regime is of the pulse
or the FL type; mutants compensate
after damage (NDH-1 up in _pgr5_, PGR5
up in _ndho_ )


Direct measurement of the
stoichiometry (Table S3, 3)


Cause of the high _g_ H &#91;+&#93; in _pgr5_ unknown


Role in Fd supply under FR (Table S3,
9)


Simultaneous Δ _E_ h and Δp in leaves;
rate constant of P700 &#91;+&#93; re-reduction
(Degen and Johnson 2024) (Table S3, 1
and 8)



244 Details and references for rows 1–3 and 5–10 are given in Text S2; the Fd data of rows 2, 3 and 8 are discussed in Text S1. Numbers in the last column refer to the predictions in Table S3.
245 ETR(I), ETR(II), electron transport rates through PSI and PSII; PIFR, post-illumination fluorescence rise.
246

247

248

249


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250 **Points of tension and open questions**


251 This text expands Table S2. The rows of Table S2 discussed under each heading are given in parentheses; row 4 (two
252 orders of activation) is summarized in the table only. The question of whether P700⁺ is protective in itself, raised in
253 § 5.3, is discussed under row 5.


254 **Is NDH really held back by pmf** _**in vivo**_ **? (Table S2, rows 1–3).** The redox–Δp gating hypothesis rests on the
255 thermodynamics of a proton pump, and the evidence that this thermodynamic process operates in a leaf is still indirect.
256 Two observations weigh against it. First, in a later study from the same laboratory, the authors tried to impose a pmf
257 on thylakoids by adding ATP, so that the ATP synthase ran in reverse and pumped protons into the lumen. ATP strongly
258 inhibits NDH, but a light-induced pmf of a similar size does not (Fisher et al. 2019). The authors concluded that ATP
259 directly inhibits NDH. For our purpose, the important point is the other half of the result: a pmf of this size, generated
260 by light, did not hold back NDH. The same authors nevertheless suggested that NDH may become
261 thermodynamically limited at higher pmf (Fisher et al. 2019); therefore, the two observations are not in conflict if
262 the pmf reached in their light experiment was below the range in which back-pressure becomes limiting. Second,
263 NDH-dependent CEF-PSI is clearly active in the H₂O₂-accumulating line GO5, in which the pmf is approximately
264 twice that of the wild type (Strand et al. 2015); we have argued in § 5.3 that this is compatible with gating defined
265 by the net driving force (Δ _E_ h − _n_ - Δp), but it is not evidence for it. The uncoupler experiments of Strand et al. (2017),
266 by contrast, support gating rather than weaken it. Collapsing the pmf with uncouplers increased the NDH-dependent
267 post-illumination fluorescence rise in thylakoids from spinach, _Amaranthus hybridus_ and _Arabidopsis thaliana_ . The
268 increase was about twofold in spinach and _A. hybridus_ and smaller in _A. thaliana_, which the authors attributed to the
269 larger share of the antimycin A-sensitive pathway, which is not limited by back-pressure, in the fluorescence rise of
270 this species. A further constraint arises from the redox side. Under FR alone, the electron transport chain of tobacco
271 leaves in air is too oxidized for significant cyclic flow, including flow through NDH, and rapid cycling appears only
272 when the PQ and NADP pools are partly reduced (Joët et al. 2002); in isolated chloroplasts, cyclic
273 photophosphorylation under 715-nm light likewise requires a small supply of electrons from PSII, and DCMU
274 abolishes it (Arnon and Chain 1975). Therefore, an oxidized PQ pool thermodynamically favors NDH only as long
275 as enough reduced donors remain; beyond that point, the lack of substrate, not back-pressure, limits the flux. Thus,
276 we present gating as a hypothesis that adds to, and does not replace, the established reasons why NDH contributes
277 little under red high light: its low abundance of approximately 0.02 per PSI, its slow turnover, and its competition
278 with PSII for oxidized PQ (Ermakova et al. 2024a; Table 1). Gating adds a reason why the balance should shift with
279 light quality as well as with irradiance. Two mutant studies point the same way. The first is the _hope2_ mutant, in
280 which a defect in the regulation of the ATP synthase is compensated by a high rate of PGR5-dependent CEF: the
281 NDH pathway made its largest contribution under low light, where it is less limited by back-pressure from the pmf,
282 and the authors proposed that competition for electrons at the acceptor side together with thermodynamic constraints
283 on turnover decides which pathway is favored (Degen et al. 2023). The second is the _crr2-2_ mutant under red FL
284 (1616/40 | 1 min/5 min): Y(NA) was elevated in the low-light phases but not in the high-light phases, and the authors
285 suggested that a large ΔpH and a reduced PQ pool may favor the reverse reaction of NDH in high light (Zhou et al.
286 2023). However, no study has simultaneously determined the pmf and redox states of PQ and Fd in a leaf under red
287 and FR; therefore, the sign of the net driving force _in vivo_ is unknown. It should also be said that ATP feedback could
288 produce a similar division of roles. In the scheme of Fisher et al. (2019), a moderate fall in stromal ATP activates
289 NDH and a severe fall activates the PGR5-dependent pathway; under FR and low light, the demand for ATP persists
290 while its supply is low. Thermodynamic gating and ATP feedback point in the same direction, but they are different
291 mechanisms that can be separated experimentally.


292 **Donor side or acceptor side? (Table S2, row 5).** Two recent papers question the direct protective role of P700⁺.
293 Sonoike (2025) argues that the primary requirement for PSI protection is an oxidized acceptor side, that the
294 dissipation of excitation by P700⁺ should have a smaller effect on photoinhibition than the reduction state of the Fe–
295 S clusters, and that FR would aggravate rather than prevent photoinhibition if it merely moved electrons from the
296 donor side to the acceptor side. In his view, the protective agent is the CEF-PSI that FR induces, not FR itself. Rantala
297 et al. (2020) argued that P700 can also become oxidized when the stromal acceptors are over-reduced, so that a rapid


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298 oxidation of P700 does not prove that PSI is protected. Taking account of these claims, we propose the roles of P700⁺
299 in the following way. Y(ND) is an indicator of donor-side limitation, and it is protective only when it increases
300 together with an oxidation of the acceptor side. When FR is added, these two conditions are met: because the electron
301 flux through PSI is small, the sinks downstream of PSI can accept the electrons released by P700 oxidation, so that
302 P700⁺ accumulates while Fd and NADP⁺ remain oxidized. This is exactly the combination of high Y(ND) and low
303 Y(NA) seen under FR (§ 5.3). The protective functions of P700⁺ in this state are twofold. First, excitation that reaches
304 an oxidized reaction center is dissipated without transferring an electron downstream. Photoacoustic measurements
305 on intact leaves show that the extent of P700 oxidation induced by FR is strictly proportional to a positive variable
306 component of heat emission (Bukhov and Carpentier 2003, their Fig. 3c), and that the fraction of reduced P700
307 matches the fraction of energy stored photochemically (their Fig. 4c); open reaction centers are strong photochemical
308 quenchers, and heat emission rises in proportion to the oxidized P700. Second, charge recombination between P700⁺
309 and reduced Fe–S clusters can re-oxidize the clusters that would otherwise react with H₂O₂ (Shimakawa and Miyake
310 2018). Both functions depend on P700 being kept oxidized. When the electron sink downstream of PSI becomes very
311 small, P700 can no longer be kept oxidized even though the pmf is high, because the oxidation of excited P700
312 becomes rate-limiting (Miyake 2020). The protective effect of FR is therefore conditional: it holds as long as FR
313 keeps the whole chain, and not only P700, in an oxidized state.
314 The difficulty, which Sonoike (2025) also acknowledges, is that our FR data cannot separate the two. Under
315 red FL, Kono and Terashima (2016) argued that the relief of the acceptor side must come before the rise in Y(ND) (§
316 5.2); this is a logical requirement rather than a measured order, and in our FR experiments both parameters were read
317 at the same time points, and at each of them FR had already raised Y(ND) and lowered Y(NA) (Kono et al. 2017);
318 thus, the protection could be attributed to either change. Separating them will require an experiment, for example a
319 series of FR intensities in which Y(ND) rises before Y(NA) falls, or a condition in which P700 is kept oxidized while
320 the acceptor side is deliberately reduced.


321 **The pulse-type regime (Table S2, row 6).** Rantala et al. (2020) exposed _Arabidopsis_ leaves to repeated 1-s pulses
322 of approximately 3,000 µmol photons m⁻² s⁻¹ on a weak background for 2 or 4 h and measured P m after 24 h of
323 recovery. P m fell to approximately 60%, 50%, and 50% after 2 h and to approximately 30%, 15%, and 25% after 4 h
324 in the wild type, _pgr5_, and _ndho_, respectively. Because the relative loss was similar, the authors concluded that neither
325 pathway protects PSI against this type of burst. This conclusion agrees with our own data: in the 800-ms pulse regime
326 of Kono et al. (2017), P m fell to approximately 70% in all genotypes when FR was absent, with no significant
327 difference between them. In pulse regimes, genotype dependence appears only when FR is added, and it then runs
328 through NDH; in the 2-min regime, it runs through PGR5. Two points follow. First, the statement that CEF-PSI does
329 not protect PSI is specific to the pulse regime, and Rantala et al. (2020) accept that PGR5 is required under FL and
330 NDH-1 under rapidly fluctuating light. Sonoike (2025) has argued that photoinhibition by repetitive saturating pulses
331 proceeds by a mechanism different from that under slower FL, with the Fe–S clusters left intact. Second, the fact that
332 FR protects PSI in a pulse regime in which CEF-PSI alone does not is what the masking hypothesis and redox–Δp
333 gating together predict: FR removes the need for a fast, pmf-driven oxidation of P700, and NDH supplies the low334 flux recycling that remains necessary. A further complication is that the mutants compensate: after the pulse treatment,
335 NDH-1 increased in _pgr5_ and PGR5 in _ndho_ (Rantala et al. 2020), so that a mutant measured after photoinhibition is
336 not the same plant as before it.


337 **How many protons does NDH pump? (Table S2, row 7).** The value of 2 H⁺ pumped by NDH per electron used
338 throughout § 5 is well supported but not measured. This is based on the homology of the membrane arm of NDH
339 with the proton-pumping subunits of respiratory complex I (Laughlin et al. 2019), on the sensitivity of the post340 illumination fluorescence rise to uncouplers, which requires a stoichiometry of at least 2 (Strand et al. 2017), and on
341 the slopes of proton flux against PSI electron flux in leaves of the wild-type and the high-CEF mutant _hcef1_ . These
342 slopes were 1.8 and 2.75 when fitted freely and 1.6 and 4.7 when forced through the origin (Strand et al. 2017); with
343 3 H⁺ per electron for linear flow, they correspond to about 4.6 to 8.8 H⁺ per electron for NDH-dependent CEF, that
344 is, to between about 2.6 and 6.8 protons pumped by NDH itself. The _in vivo_ data thus show that NDH pumps protons
345 but do not fix the number. Yamori et al. (2011) proposed the alternative view that the flux through NDH is too small
346 to contribute to the pmf and that NDH acts instead by poising the redox state of the intersystem carriers. In our


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347 framework, the poising function (§ 5.3) does not depend on a large contribution to the pmf.


348 **What does PGR5 do? (Table S2, row 8).** The molecular role of PGR5 remains uncertain. PGR5 carries no motif for
349 a redox cofactor and is unlikely to transfer electrons (Shikanai 2007), Fd-dependent PQ reduction is reduced but not
350 abolished in _pgr5_ (Munekage et al. 2002), and the mutant's failure to hold the pmf at a light increase has been
351 interpreted as a loss of control over linear electron transport and over the ATP synthase (Suorsa et al. 2012), an
352 interpretation supported by the elevated proton conductivity of _pgr5_ under high light (Rantala et al. 2020; Wang et
353 al. 2015). Two recent studies have sharpened this picture. In _hope2_, a mutant of the ATP synthase γ-subunit with a
354 constitutively high proton conductivity, the pmf and qE are kept at wild-type levels by an increased PGR5-dependent
355 CEF, yet steady-state P700 oxidation is virtually absent and PSI remains susceptible to photoinhibition: a high rate
356 of PGR5-dependent CEF cannot impose photosynthetic control while the proton conductivity remains high (Degen
357 and Johnson 2024; Degen et al. 2023). On the other hand, the expression of the flavodiiron proteins of _Physcomitrium_
358 _patens_ (Hedw.) Mitt. (syn. _Physcomitrella patens_ (Hedw.) Bruch &amp; Schimp.) in _pgr5_ restores the pmf and P700
359 oxidation, relieves the acceptor-side limitation (Yamamoto et al. 2016), and normalizes the elevated proton
360 conductivity (Degen et al. 2023), which argues against a direct regulation of the ATP synthase by PGR5; the cause
361 of the high conductivity in _pgr5_ is still unknown (Degen et al. 2023). Vilyanen and Kozuleva (2025) add a general
362 point: a cycle at steady state returns exactly as many electrons to PSI as it removes and therefore cannot keep P700
363 oxidized by itself; its protective effect must come from the protons it moves, either through extra ATP that speeds the
364 Calvin–Benson cycle and relieves the acceptor side, or through lumen acidification and photosynthetic control. Our
365 account in § 5.2 uses both routes and does not require a decision on the molecular role of PGR5. What it requires is
366 only that the PGR5-dependent pathway builds the pmf quickly from a large electron flux without a proton pump of
367 its own; if PGR5 turns out to act mainly as a regulator, the "capacity" entries of Table 1 describe the pathway rather
368 than the protein, and the rescue of _pgr5_ by FR is read as FR removing the need for that regulation—the conclusion
369 is unchanged.


370 **The NDH–PSI supercomplex (Table S2, row 9).** We have not used the supercomplex to explain the wavelength
371 dependence (§ 5.1), but its functional significance remains unresolved. In _lhca6_, which cannot form the supercomplex,
372 the NDH subunits are largely retained, yet the _lhca6 pgr5_ double mutant shows a phenotype between _pgr5_ and _crr_
373 _pgr5_, a discrepancy that Shikanai et al. (2025) could not explain; in _Marchantia_, NDH functions without any
374 supercomplex (Ueda et al. 2012). In chilled cucumber leaves, the partial disassembly of the supercomplex
375 accompanies the loss of NDH activity and PSI photoinhibition (Takeuchi et al. 2026; § 1.3). Cyanobacterial NDH-1
376 has two candidate Fd-binding sites (Laughlin et al. 2019). Whether the supercomplex changes the supply of reduced
377 Fd to NDH or its local redox environment under FR is a legitimate question (Table S3, prediction 9).


378 **What cannot yet be measured (Table S2, row 10).** Finally, the flux through NDH has never been directly measured
379 in illuminated leaves. Every available method carries an assumption: the post-illumination fluorescence rise is
380 measured in the dark, when Δp has collapsed and NDH is least constrained, so that it reports capacity rather than the
381 flux in the light (Strand et al. 2017); Fd-dependent PQ reduction is measured in ruptured chloroplasts; the re-oxidation
382 of P700 by FR (Shikanai et al. 2025) and the difference between the electron transport rates of PSI and PSII are
383 indirect; and the proton-flux slopes of Strand et al. (2017) assume fixed stoichiometries for linear flow. The two
384 variables of the gating hypothesis, Δ _E_ h and Δp, have not been measured together under red and FR light, and the ATP
385 level under FR has not been measured at all. Our FR data rely on Y(ND), which reports the extent of P700 oxidation
386 but not the engagement of photosynthetic control; the rate constant of P700⁺ re-reduction is a more direct indicator
387 (Degen and Johnson 2024). These gaps are addressed in Text S3.


388


18


389 **4.** **Supplementary Table S3 and Supplementary Text S3**
390

391 **Supplementary Table S3.** Testable predictions of the masking and redox–Δp gating hypotheses





1 The sign of the net driving force
(Δ _E_ h − _n_    - Δp) differs between
red and FR light


2 The NDH-dependent rate falls as
the imposed Δp rises; the
antimycin A-sensitive rate does

not


3 NDH carries a larger share of
cyclic flux under FR in leaves


4 NDH runs forward only within
an operating window: upper
limit set by the pmf, lower limit
by the supply of reduced Fd and

NADPH


5 Fd supply, Fd affinity and the

ATP level favor NDH under FR



Leaves: pmf from ECS and redox states of P700, PC and
PQ under red vs red + FR; driving force calculated as in
Strand et al. (2017)


Coupled thylakoids under FR only; Δp set without ATP
(acid–base transition, K &#91;+&#93; diffusion potential, ATP synthase
inhibition); PIFR or P700 &#91;+&#93; re-reduction, ± antimycin A or
_pgr5_ ; PQ redox state set by the FR:red ratio


Proton flux (ECS) vs PSI electron flux (Strand et al. 2017)
under red vs FR, ± antimycin A, and in _crr_ ; KEA3 effects

on DIRK taken into account


NDH share (as in 3) across irradiances under FRsupplemented light in plants of known growth irradiance


Apparent _K_ m for Fd (uncoupled, different species: ~2 µM
NDH, ~1 µM antimycin A-sensitive; Fisher et al. 2019) in
the same species and in coupled thylakoids ± antimycin A,
_crr_, _pgr5_ ; reduced fraction of Fd and Fd-dependent CEF
PSI from Fd oxidation kinetics in leaves under FR

(Ohnishi et al. 2023; Satoh et al. 2025); stromal ATP
under FR-supplemented low light


19



Net driving force more positive under FR,
mainly through PQ oxidation; the low-light
phase stays within the operating window of

NDH


Monotonic decline with Δp; increase as PQ

is oxidized


H &#91;+&#93; /e &#91;−&#93; ratio rises with FR, survives antimycin
A, and is absent in _crr_


Share rises while the pmf builds and falls
once it saturates (~140 µmol photons m &#91;−2&#93; s &#91;−1&#93;
for plants grown at 50; Wang et al. 2015);
share falls again when the red component is
lowered until the PQ pool is almost fully

oxidized


_K_ m changes with Δp; reduced Fd small but
not zero under FR, and Fd-dependent CEFPSI rises with FR in the wild type and _pgr5_
but not in _crr_ ; ATP in the range where NDH
is active but the PGR5 pathway is inhibited



Net driving force equally
positive in both regimes


No Δp dependence


No change, or a change lost
with antimycin A


Monotonic increase with

irradiance; no decline at the

oxidized end


_K_ m independent of Δp; Fddependent CEF-PSI rises with
FR in _crr_ ; ATP outside that

range


_Testing the masking hypothesis and the role of P700_ _&#91;+&#93;_



6 The division of roles is set by
the light regime


7 FR protection bypasses PGR5
and requires NDH


8 P700 is oxidized by different
means in the two regimes


_Structure_


9 The supercomplex matters only
if it supplies Fd to NDH


_Ecological and applied questions_


10 FR and a low cytochrome _b_ 6 _f_
content protect PSI by the same

route


11 The NDH growth defect under
canopy-like FL depends on FR



Full matrix: 2-min regime (Kono and Terashima 2016)
and pulse regime (Kono et al. 2017) × _pgr5_, _crr_ × ± FR


_pgr5 crr4-3_ double mutant under FR-supplemented FL
(young leaves, low growth light)


Series of FR intensities or FR:red ratios; P m loss vs
residual Y(NA) and Y(ND); rate constant of P700 &#91;+&#93; rereduction measured alongside Y(ND) (Degen and Johnson
2024)


_lhca5 lhca6_ double mutant and Lhca6 domain-swap lines
(Otani et al. 2017) under FR-supplemented FL


Intermediate-Rieske tobacco (Kono et al. 2025) ± FRsupplemented FL; growth under canopy-like light


_crr_, _pgr5_ and wild type under canopy-spectrum rapid FL
with FR present or filtered out; PSI photoinhibition and
biomass measured together



2-min regime: FR rescues _pgr5_ only
partially; pulse regime: removing FR
abolishes the genotype dependence



P m loss tracks Y(NA) (or both); FR raises
Y(ND) without slowing re-reduction, red
high light raises it by slowing re-reduction


Wild-type behavior (if the NDH content is
adequate)


Combined treatment protects PSI with a
smaller loss of capacity than either alone;

intermediate lines show intermediate

protection


Defect larger with FR and then accompanied
by P m loss; removing FR shifts the
dependence toward PGR5



FR rescues _pgr5_ fully in both
regimes



FR rescues _pgr5_ but not the double mutant FR rescues the double mutant



FR slows P700 &#91;+&#93; re-reduction

as red high light does


_crr_ -like behavior


No additivity


Defect independent of FR



392 Predictions are grouped by the question they address; each is described in full in Text S3. DIRK, dark-interval relaxation kinetics; ECS, electrochromic shift; PC, plastocyanin; PIFR, post393 illumination fluorescence rise.

394

395

396


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397 **Experiments to test the masking and redox–Δp gating hypotheses**


398 The hypotheses presented in § 5.3 make predictions that can be tested using existing methods. We list them here,
399 grouped by the question they address, and state for each what result would support or refute the hypothesis. The
400 numbers correspond to those in Table S3.
401


402 **Testing redox–Δp gating directly (Table S3, predictions 1–5)**


403 (1) _The sign of the net driving force (ΔE_ _h_ _− n·Δp) under red and FR light._ The central prediction is that FR shifts the
404 thermodynamic balance of NDH toward the forward reaction. This can be tested in leaves by measuring the pmf from
405 the electrochromic shift and the redox states of P700, plastocyanin, and the PQ pool simultaneously under red light
406 and under red light supplemented with FR, and by calculating the driving force from the measured redox states, as
407 Strand et al. (2017) did for isolated thylakoids. We predict that the driving force for the reduction of PQ by reduced
408 Fd exceeds _n_ - Δp by a larger margin under FR than under the high-light phase of red FL, and that the difference arises
409 mainly from the oxidation of the PQ pool rather than from a change in total pmf (Kono et al. 2020). The same
410 measurements should show whether, in the 10-s low-light phase, the PQ pool stays within the operating window of
411 NDH (§ 5.3): oxidized enough to keep Δ _E_ h large, but not so oxidized that the supply of reduced donors limits cycling
412 (Joët et al. 2002). If the net driving force is found to be equally positive in both regimes, gating cannot explain the
413 wavelength dependence, and the explanation must be sought in capacity, ATP feedback, or activation.


414 (2) _The Δp dependence of NDH in coupled thylakoids without competition from linear flow._ The uncoupler
415 experiments of Strand et al. (2017) showed that NDH is sensitive to Δp, but uncouplers abolish the pmf rather than
416 set it to graded values. In coupled thylakoids illuminated with FR only, so that linear flow is absent, the pmf can be
417 set to defined values without ATP. This can be done by an acid–base transition in which a permeant organic acid
418 carries protons into the lumen (Jagendorf and Uribe 1966; Uribe and Jagendorf 1967a, b), by a K⁺ diffusion potential,
419 or by inhibition of the ATP synthase. The NDH-dependent reduction of PQ can then be followed by the post420 illumination fluorescence rise or by the re-reduction of P700⁺, with the PGR5-dependent component removed by
421 antimycin A or using _pgr5_ . We predict that the NDH-dependent rate falls monotonically as the imposed Δp increases,
422 whereas the antimycin A-sensitive rate does not. Imposing the pmf without ATP is essential because ATP inhibits
423 both pathways directly (Fisher et al. 2019). In the same system, the PQ redox state can be set by the ratio of FR to
424 red light, and the NDH-dependent rate should increase as the pool is oxidized.


425 (3) _The effective flux in leaves under competition from linear flow._ The proton-flux method of Strand et al. (2017),
426 which compares the proton flux from the electrochromic shift with the electron flux through PSI, can be applied to
427 leaves under red and FR-supplemented light, with and without antimycin A, and in the _crr_ mutants. If NDH carries
428 a larger share of the cyclic flux under FR, the ratio of proton to electron flux should increase with FR in the wild type,
429 this increase should survive antimycin A, and it should be absent in _crr_ mutants. The dark-interval relaxation kinetics
430 on which this method rests must be interpreted with care: the thylakoid K⁺/H⁺ antiporter KEA3, which exports protons
431 from the lumen in exchange for K⁺ and is activated when the light decreases and the stromal energy state falls
432 (Armbruster et al. 2014, 2016; Uflewski et al. 2024), can alter the relaxation of the electrochromic shift during the
433 dark interval and thus the proton flux and the ΔpH/ΔΨ partitioning derived from it. The difference between the
434 maximal NDH activity measured in experiment (2) and the effective flux measured in experiment (3) would quantify,
435 for the first time, how much of the capacity of NDH is actually used in a leaf under a given light quality.


436 (4) _The operating window of NDH._ § 5.3 proposed that NDH runs forward only within an operating window, whose
437 upper limit is set by the pmf and whose lower limit is set by the supply of reduced Fd and NADPH. The upper limit
438 can be tested by measuring the NDH-dependent share of cyclic flux, as in experiment (3), across a series of irradiances
439 under FR-supplemented light in plants with known growth irradiance. We predict that the NDH share increases with
440 irradiance while the pmf is still building and falls once the pmf saturates, which in plants grown at 50 µmol photons
441 m⁻² s⁻¹ occurs at approximately 140 µmol photons m⁻² s⁻¹ (Wang et al. 2015). A monotonic increase would argue


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442 against an upper limit set by the pmf. The lower limit can be tested in the same series by lowering the red component
443 of the light until the PQ pool is almost fully oxidized: the NDH share should then fall again, as cycling did in tobacco
444 leaves under FR alone (Joët et al. 2002).


445 (5) _Fd supply, Fd affinity and ATP under FR._ The apparent _K_ m values for Fd of the two pathways (about 2 µM for
446 NDH and about 1 µM for the antimycin A-sensitive pathway) were obtained in uncoupled thylakoids and in different
447 species (Fisher et al. 2019; Text S1). Measuring them in the same species and in coupled thylakoids, with and without
448 antimycin A and in _crr_ and _pgr5_, would show whether the affinity for Fd itself changes with Δp, which would be a
449 second route by which the redox poise could favor one pathway. Because both pathways compete with FNR and the
450 other Fd-dependent enzymes for reduced Fd on roughly equal terms (Text S1), the quantity that limits the supply to
451 CEF-PSI _in vivo_ is the reduced fraction of Fd rather than its total amount. This fraction can now be measured in

452 leaves from the near-infrared absorbance of Fd (Ohnishi et al. 2023; Satoh et al. 2025). Ideally, the decay of reduced
453 Fd would be resolved into the rate constants of its individual sinks, so that the share of each pathway could be read
454 directly; at the present signal-to-noise ratio of the Fd signal this is not feasible, and the comparison has to rely on
455 mutants and inhibitors. We predict that under FR-supplemented low light it is small but not zero, and that the Fd456 dependent CEF-PSI measured from the oxidation kinetics of Fd rises with FR in the wild type and in _pgr5_ but not in
457 _crr_ mutants. In parallel, the stromal ATP level under FR-supplemented low light has never been measured; if it falls
458 into the range in which NDH is active but the PGR5-dependent pathway is inhibited (Fisher et al. 2019), the ATP
459 feedback and the thermodynamic gating would be acting together, and their contributions would have to be separated
460 by experiment (2). The discrepancy between the inhibition by ATP found by Fisher et al. (2019) and its absence in
461 the assay of Cleland and Bendall (1992) should be resolved in the same system (Table S2, row 3).
462


463 **Testing the masking hypothesis and the role of P700⁺ (Table S3, predictions 6–8)**


464 (6) _Regime × FR._ Our two FL regimes have never been compared under the same conditions. We predict that in the
465 2-min regime of Kono and Terashima (2016), in which the high-light phase is long and the PQ pool is reduced
466 throughout it, FR will rescue _pgr5_ only partially, because the pmf-driven oxidation of P700 during the high-light
467 phase still depends on the PGR5-dependent pathway; and that in the pulse regime of Kono et al. (2017), removing
468 FR abolishes the genotype dependence, as observed. The full matrix of two regimes, two mutants, and FR present or
469 absent would test whether the division of roles is set by the light regime, as the model claims.


470 (7) _The pgr5 crr double mutant under FR._ If FR protection runs through NDH and bypasses PGR5, FR should fail to
471 rescue the _pgr5 crr4-3_ double mutant, whereas it should rescue _pgr5_ . The double mutant grows poorly (Munekage
472 et al. 2004); therefore, the experiment must use young leaves under low growth light, but the prediction is
473 unambiguous.


474 (8) _Separating Y(ND) from Y(NA)._ Under FR, the two parameters change together (Text S2). A series of FR intensities
475 or FR-to-red ratios in which Y(ND) rises before Y(NA) falls would separate them; the loss of P m should then correlate
476 with the residual Y(NA) rather than with Y(ND) if the acceptor side is decisive, and with both if P700⁺ contributes
477 in its own right. In the same experiments, the rate constant of P700⁺ re-reduction should be measured alongside
478 Y(ND) (Degen and Johnson 2024). We predict that FR raises Y(ND) in the low-light phase without slowing P700⁺
479 re-reduction, that is, without engaging photosynthetic control, whereas red high light raises Y(ND) by slowing it.
480 This would provide the first direct evidence that P700 is oxidized by different means in the two regimes (Table 2).
481


482 **Structure (Table S3, prediction 9)**


483 (9) _NDH–PSI supercomplex._ Two kinds of plants lack the supercomplex but retain NDH: the _lhca5 lhca6_ double
484 mutant and the domain-swap lines of Otani et al. (2017), in which the stromal loop of Lhca6 is replaced. These should
485 be exposed to FR-supplemented FL. If the supercomplex is needed only for the stability of NDH, these lines should
486 behave like the wild type, as long as their NDH content is adequate. If the supercomplex is needed for the supply of


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487 reduced Fd to NDH, they should behave like _crr_ mutants under FR.
488


489 **Ecological and applied questions (Table S3, predictions 10 and 11)**


490 (10) _Trading capacity for protection._ Tobacco with a low Cyt _b_ ₆ _f_ content maintains PSI integrity under extreme pulses,
491 but at the cost of photosynthetic capacity (Kono et al. 2025). If FR and a low Cyt _b_ ₆ _f_ content protect PSI by the same
492 route (§ 5.4), a moderate reduction in Rieske protein combined with FR-supplemented FL should protect PSI with a
493 smaller loss of capacity than either treatment alone, and plants with intermediate Rieske content, which have not yet
494 been tested for photoinhibition, should show intermediate protection. The growth of these lines under a canopy-like
495 light regime would show whether the trade-off can be shifted in practice or not.


496 (11) _Light quality as an independent variable in the field._ The growth defect of NDH mutants under FL that
497 reproduced the irradiance, but not the spectrum, of a maize canopy (Theeuwen et al. 2022, preprint) and the protection
498 of PSI by FR in the laboratory (Kono et al. 2017) have not been connected. Why NDH matters under such rapid
499 fluctuations even without FR is itself open, and our framework suggests a hypothesis. A canopy regime spends most
500 of its time at low irradiance, and its bright spots are too short for the pmf to reach the level that stops NDH; the role
501 of NDH under this regime would then be the one described in § 5.3 and in Table S3, prediction 4, namely to keep the
502 intersystem chain poised and to supply ATP during the low-light periods, rather than to protect PSI directly. This
503 agrees with the observation that the Burren _ndhG_ variant affects PSII efficiency only below about 350 µmol photons
504 m⁻² s⁻¹ (Theeuwen et al. 2022, preprint), and it predicts that the growth defect of the NDH mutants under such a
505 regime is accompanied by a more reduced PQ pool and a lower pmf in the low-light periods, but not necessarily by
506 a loss of P m . The experiment that connects them is to grow _crr_, _pgr5_, and wild-type plants under a rapidly fluctuating
507 regime that reproduces a canopy spectrum, with FR either present or removed by a filter, and to measure PSI
508 photoinhibition and biomass together. We predict that the growth defect of the NDH mutants is larger with FR than
509 without, that it is accompanied by a loss of P m when FR is present, and that removing FR shifts the dependence from
510 NDH toward PGR5. This experiment would also test the suggestion of § 9.2 that red LED regimes have overestimated
511 the role of PGR5 in nature.

512 If experiments (1) to (5) fail to show a wavelength-dependent thermodynamic constraint on NDH, the
513 redox–Δp gating hypothesis should be abandoned, and the division of roles would have to be explained by capacity,
514 ATP feedback, and activation alone. The masking hypothesis would survive that outcome, and so would the
515 observations that rest on it: that FR oxidizes P700 by the excitation balance, that this removes the specific need for
516 PGR5, and that NDH provides the low-flux recycling under FR. They do not depend on how NDH is gated, but only
517 on the fact that NDH is the pathway left when a fast, pmf-driven oxidation of P700 is no longer required.


518


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519 **References cited only in Supplementary Texts S1–S3.**


520 For other references, see the reference list of the main text.


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