Journal of Experimental Botany, Vol. 72, No. 17 pp. 5942–5960, 2021 https://doi.org/10.1093/jxb/erab327 Advance Access Publication 16 July, 2021 © The Author(s) 2021. Published by Oxford University Press on behalf of the Society for Experimental Biology. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which per- mits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited. DARWIN REVIEW Improving C4 photosynthesis to increase productivity under optimal and suboptimal conditions Cristina R.G. Sales1, , Yu Wang2, Jochem B. Evers3, and Johannes Kromdijk1,2,*,   1 Department of Plant Sciences, University of Cambridge, Downing Street, Cambridge CB2 3EA, UK 2 Institute for Genomic Biology, University of Illinois at Urbana-Champaign, Urbana, IL, USA 3 Centre for Crops Systems Analysis (WUR), Wageningen University, Wageningen, The Netherlands * Correspondence: jk417@cam.ac.uk Received 12 March 2021; Editorial decision 5 July 2021; Accepted 9 July 2021 Editor: John Lunn, MPI of Molecular Plant Physiology, Germany Abstract Although improving photosynthetic efficiency is widely recognized as an underutilized strategy to increase crop yields, research in this area is strongly biased towards species with C3 photosynthesis relative to C4 species. Here, we outline potential strategies for improving C4 photosynthesis to increase yields in crops by reviewing the major bottlenecks limiting the C4 NADP-malic enzyme pathway under optimal and suboptimal conditions. Recent experi- mental results demonstrate that steady-state C4 photosynthesis under non-stressed conditions can be enhanced by increasing Rubisco content or electron transport capacity, both of which may also stimulate CO2 assimilation at supraoptimal temperatures. Several additional putative bottlenecks for photosynthetic performance under drought, heat, or chilling stress or during photosynthetic induction await further experimental verification. Based on source– sink interactions in maize, sugarcane, and sorghum, alleviating these photosynthetic bottlenecks during establish- ment and growth of the harvestable parts are likely to improve yield. The expected benefits are also shown to be augmented by the increasing trend in planting density, which increases the impact of photosynthetic source limita- tion on crop yields. Keywords: Agriculture, C4 pathway, crop yield, modelling, NADP-ME, photosynthesis, Rubisco, source–sink Introduction The global human population has seen a staggering increase over the last century, and is currently estimated to be 7.8 bil- lion people (United Nations, 2019). This signifies a tripling of the population compared with 2.6 billion people in 1950 and, although this explosive growth is projected to gradually taper off, substantial further population growth is still predicted (UN Population Division projections). Current projections suggest that by 2050, the global population will have grown to 9.6 billion. Providing enough food for all these additional mouths will be challenging indeed. Historically, human population growth has often been a concern, as exemplified by Thomas Malthus’ two-century-old statement that ‘Population will al- ways grow more rapidly than food supplies until numbers are reduced by war, disease or famine’ (Malthus, 1798). Malthus’ applyparastyle "fig//caption/p[1]" parastyle "FigCapt" This paper is available online free of all access charges (see https://academic.oup.com/jxb/pages/openaccess for further details) Improving C4 photosynthesis to increase productivity | 5943 prediction has often been used to emphasize the power of sci- ence and technology, allowing human society to outpace his doomsday scenario. Indeed, most commodity crop yields have shown steady increases for many decades (e.g. Ray et al., 2013), and further increases may well be possible via improvements in farm management, plant breeding, as well as via utilization of transgenic (e.g. Pellegrino et  al., 2018) and gene editing technologies. Improvements in crop yields can be achieved via development of new higher yielding varieties or via closure of the so-called ‘yield-gap’ between attainable and realized yield (Foley et al., 2011). With regards to the former, the plant breeding strategies of the green revolution have led to spec- tacular improvements in yield potential via increases in yield components such as harvest index and light capture efficiency, but less so for the conversion efficiency of captured solar en- ergy to energy contained in plant biomass. Theoretical analyses of the maximum conversion efficiency (Zhu et al., 2010) have provided estimates for an upper limit of 4.6–6%. From the few existing measurements of this conversion efficiency in farmers’ fields (reviewed in Zhu et al., 2010), even the most productive crop canopies achieve less than one-third of the computed upper limit, mostly due to losses in photosynthetic efficiency. Thus, improving photosynthetic efficiency may have potential to increase crop yields, as demonstrated by a range of proof- of-concept studies for this strategy in C3 species (reviewed by Simkin et al., 2019). Increasing crop productivity via improving photosynthetic efficiency: a C3 story? The vast majority of studies looking at photosynthetic effi- ciency gains to improve crop yield focus on species with C3 photosynthesis. In contrast to C3 photosynthesis, species with C4 photosynthesis drive a biochemical CO2-concentrating mechanism (CCM), which enhances the operating efficiency of Rubisco and competitively inhibits ribulose bisphosphate (RuBP) oxygenation and associated photorespiratory losses (Hatch, 1971; Dai et  al., 1993). The CCM also allows plants to function with limited stomatal opening, which reduces water loss through transpiration and consequently increases photosynthetic water-use efficiency (WUE). In addition, less Rubisco is needed, which accounts for most of the nitrogen invested in leaves, and thus increases nitrogen-use efficiency (Ghannoum et al., 2005). Although only ~3% of plant species use the C4 pathway (Sage et al., 2012), C4 species are strongly over-represented in our agricultural crops, and their import- ance in supplying food, feed, and fuel is hard to overstate (USDA, 2020a; Fig. 1). As C4 photosynthetic species are top- ping the list of the most highly produced commodities (USDA, 2020a; Fig. 1), novel strategies to improve their productivity should be highly impactful. Despite this, analysis of the re- search output of the last three decades suggests that only ~1% of research on improving photosynthetic efficiency is focusing on C4 photosynthesis (Fig. 2); and even this might be an over- estimate, considering that out of the 104 references found with this search, 14 studies are focusing on C4 photosynthesis as a means to improve photosynthetic efficiency in C3 species. So why is there less focus on improving the efficiency of C4 photosynthesis? The attributes of C4 photosynthesis provide an advantage over C3 photosynthesis at high light and high temperatures (Sage and Zhu, 2011) and theoretically even at mildly chilling temperatures (Long and Spence, 2013). Does this mean that the conversion efficiency of solar energy to bio- mass is closer to its biological limit in C4 species? Based on the aforementioned theoretical analysis of potential conversion efficiency (Zhu et al., 2010), C4 species have an intrinsic ad- vantage compared with C3 species but still fall short of the theoretical upper limit by a considerable margin. Thus, the Fig. 1. Annual global production of the 11 crops highest in production quantity. The C4 NADP-ME sugarcane and maize are at the top of the ranking. Data shown by the solid bars were extracted from the Food Agriculture Organization database (FAO, 2020). *Patterned bars show the approximate amount of different uses of the total production of sugarcane in Brazil (CONAB, 2018) and of maize in the USA (USDA, 2020a). Fig. 2. Number of publications per year in subject area ‘Plant Sciences’. The topic ‘Improving photosynthesis’ is shown by the solid green bars, and the number of publications per year ‘C4 photosynthesis’ found within this group is shown by the patterned bars. Search results were generated using Web of Science on 19 February 2021. 5944 | Sales et al. case for improving photosynthetic efficiency to increase crop yield may also hold promise for C4 photosynthesis (see also von Caemmerer and Furbank, 2016). Here we therefore review po- tential strategies for improving C4 photosynthesis under op- timal and suboptimal conditions. How could C4 photosynthesis be improved under non-stressed conditions? In the following paragraphs, we explore in which ways C4 photosynthesis could be improved. Focusing on the NADP- malic enzyme (ME) subtype (Box 1), in this section we will first look at factors that have control over the rate of CO2 as- similation under non-stressed conditions. The interdependence of the C4 acid shuttle and Calvin–Benson–Bassham (CBB) cycle across two different photosynthetic cell types (mesophyll, M; and bundle sheath, BS) makes it more difficult to pinpoint specific control factors in C4 photosynthesis, compared with C3 photosynthesis. In addition, the demands for ATP and NADPH in M and BS cells are distinct, and balancing the energy (Bellasio and Griffiths, 2014; Kromdijk et  al., 2014) between both compartments is important for efficient func- tioning of C4 photosynthesis. In addition, there is significant carbon exchange between the CBB and C4 cycle (Arrivault et al., 2017), which probably helps to maintain flexibility to re- spond to variable environmental conditions. To account for this complexity, metabolic models which capture the kinetics of all the major reaction and diffusion steps in C4 photosynthesis can be used to identify the relative control exerted by any of the modelled factors over the rate of CO2 assimilation, by com- puting control coefficients, defined as the relative change in net CO2 assimilation rate (An), as a result of a relative change in the control factor. Using their model for NADP-ME photo- synthesis (Fig. 3) to simulate the control of individual factors over the rate of assimilation, Wang et al. (2021) computed that under high light, control over steady-state An is shared between Rubisco in the CBB cycle (dAn/dRubisco=0.46) and Jmax, namely the capacity for chloroplastic electron transport (dAn/ dJmax=0.38). Using the same model to simulate a step change in light intensity from darkness to 1800 μmol m−2 s−1 (Fig. 4), a strong transient control of pyruvate-orthophosphate di-kinase (PPDK) during the first minutes was predicted (Fig. 4B), to ramp up metabolic pools in the C4 cycle. Similarly, but less pronounced, sedoheptulose-1,7-bisphosphatase (SBPase) and phosphoribulokinase (PRK) share significant transient control, consistent with their role in the regeneration of CBB cycle substrate (Fig. 4C). The concomitant negative transient control of chloroplastic fructose-1.6-bisphosphatase (FBPase) can be explained by the role of fructose-6-phosphate in starch for- mation (Raines, 2003), which would compete with the avail- ability of substrate in the CBB cycle. After An is induced far enough to significantly deplete intercellular CO2 concentra- tions, the control shifts transiently to stomatal conductance (gs) and phosphoenolpyruvate carboxylase (PEPC; Fig. 4A, B), be- fore finally settling on the steady-state control by Rubisco and Jmax shown in Fig. 3. CBB cycle control over C4 photosynthesis It is well known that the Rubisco catalytic rate is relatively slow, and catalytic improvement may be constrained by a trade-off with its specificity for CO2 over O2 (Zhu et  al., 2004b; Carmo-Silva et al., 2015). Lower abundance of Rubisco in C4 plants also affects the levels of CBB metabolites, in par- ticular RuBP, which was significantly lower in four C4 species, relative to five C3 species (Arrivault et al., 2019). The high CO2 environment around Rubisco in C4 plants seems to have re- laxed the selective pressure for high specificity, resulting in a Ru bis co PR K FB Pa se SB Pa se CBB cycle PE PC MD H NA DP - ME P PD K C4 cycle 0.0 0.2 0.4 0.6 g s Jma x d A n /d X (% /% ) Light reactions and stomata 1 6 5 PEP Mal OAA PEP CO2 HCO3 OAA CO2 - Mal PyrPyr Bundle sheath Mesophyll 3 4 2 2 7 8 9 10 A B C D 1 2 3 4 5 6 7 8 9 10 Fig. 3. Simulated control coefficients of individual factors over net CO2 assimilation rate (An) during steady-state conditions. Light reactions and stomatal diffusion (B), C4 (C) and CBB cycle (D) enzymes, in maize. The individual factors are numbered and indicated in the diagrammatic representation in (A). Control coefficients were computed as the first derivative of An normalized to each respective control factor X (dAn/dX). Environmental settings for the simulation were air temperature of 28 °C, photosynthetically active radiation of 1800 μmol m−2 s−1, ambient CO2 concentration of 410 ppm, and air vapour pressure deficit (VPD) of 1.5 kPa. For a full description of the model and parameters, see Wang et al. (2021). Improving C4 photosynthesis to increase productivity | 5945 Box 1. The NADP-ME C4 photosynthesis subtype Dual cell-type C4 photosynthesis can be classified into three biochemical subtypes, NADP-ME, NAD-ME, and PEPCK, based on the enzyme used to decarboxylate C4 acids (Hatch et al., 1975). Here, the main focus is on NADP-ME C4 grasses of the Andropogoneae clade which represent some of the most important cultivated plants with a large impact on food, feed, and fuel production (Christin et al., 2009; Fig. 1). Chloroplast differentiation in NADP-ME C4 NADP-ME C4 grasses show classical ‘Kranz’ leaf anatomy (A). Low PSII abundance in BS thylakoids prevents high rates of whole-chain electron transfer. Instead, reductant is supplied via the malate shuttle, and ΔpH formation and ATP synthesis are predominantly driven by CET (Hatch, 1987; B and C). Chloroplasts in M cells retain the capacity to undergo aggregative movements in response to environmental stresses (Yamada et al., 2009), but in BS cells are more confined to their centrifugal position, which may facilitate metabolite transfer between M and BS (Maai et al., 2011). Flexibility in the decarboxylation pathway • Carbon fixation starts in the M cytosol (D). CO2 is converted into HCO3 − by CA and is used in the carboxylation of PEP (catalysed by PEPC) forming the C4 organic acid OAA. OAA is converted to malate by MDH in M chloroplasts and diffuses to the BS cells. Decarboxylation of malate by NADP-ME in BS chloroplasts elevates the CO2 concentration around Rubisco and provides NADPH. • Pyruvate diffuses back to the M cells, where PEP is regenerated by PPDK at the expense of 2 ATP/ PEP (Kanai and Edwards, 1999). • Significant activity of PEPCK (dotted arrows) can supplement the NADP-ME route (Furbank, 2011; Yin and Struik, 2021); up to 25% in maize (Hatch, 1971); present in sugarcane (Calsa and Figueira, 2007; Sales et al., 2018; Cacefo et al., 2019); but undetectable in sorghum (Gutierrez et al., 1974). • Pyruvate can also be transaminated into alanine, before diffusing back to the M cell (Schlüter et al., 2019; faded arrows), which may help to balance nitrogen metabolism (Wang et al., 2014). Abbreviations: Ala, alanine; Ala-AT, alanine aminotransferase; Asp, aspartate; Asp-AT, aspartate aminotransferase; BS, bundle sheath; CA, carbonic anhydrase; CBB, Calvin–Benson–Bassham cycle; CET, cyclic electron transfer; M, mesophyll; Mal, malate; MDH, malate dehydrogenase; NAD-ME, NAD-malic en- zyme; NADP-ME, NADP-malic enzyme; OAA, oxaloacetate; OEC, oxygen-evolving complex; PC, plastocyanin; PEP, phosphoenolpyruvate; PEPC, phosphoenolpyruvate carboxylase; PEPCK, PEP carboxykinase; PPDK, pyruvate-orthophosphate-dikinase; PQ, oxidized plastoquinone; PQH2, reduced plastoquinone; Pyr, pyruvate; RuBP, ribulose 1,5 bisphosphate. Schemes B and C were created with BioRender (https://biorender.com/). 5946 | Sales et al. higher catalytic turnover rate (kcat) of C4 Rubisco compared with C3, at the expense of affinity for CO2 (kc) (Kapralov et al., 2011). Substantial diversity in Rubisco activity and catalytic properties among C4 species is found (Hermida-Carrera et al., 2016; Orr et al., 2016; Sharwood et al., 2016a, b; Kolbe et al., 2018b), possibly reflecting differences in time since the evo- lution of the C4 pathway between different lineages, as well as systematic differences between different decarboxylation types (Ghannoum et al., 2005). Swapping the nuclear-encoded Rubisco small subunit for transgenic or chimeric versions can be used to alter Rubisco kinetic properties (Ishikawa et  al., 2011; Atkinson et al., 2017) and may offer a tractable route to manipulating kcat. A different strategy to increase Rubisco capacity is via enhancing its content. Space constraints in the BS chloroplasts were initially thought to limit Rubisco content in C4 species (Sage and McKown, 2006). However, recent work shows that C4 BS chloroplasts may be able to house Rubisco amounts sufficient to alleviate its control over C4 photosynthesis (Pignon et al., 2019). Indeed, using combined overexpression of Rubisco large and small subunits together with the Rubisco assembly chaperone RUBISCO ASSEMBLY FACTOR 1 (RAF1) in maize, Salesse-Smith et al. (2018) achieved a >30% increase in Rubisco content. The Rubisco-overexpressing maize plants showed significant increases in CO2 assimilation as well as plant growth. However, the gains were limited due to a decline in Rubisco activation state in the overexpression lines. Although Rubisco activase (Rca) content appears typic- ally in excess in C4 species (von Caemmerer et al., 2005), it is possible that overexpression of Rca in parallel with increasing Rubisco content will further enhance the potential of this strategy (Salesse-Smith et al., 2018). Electron transport capacity control over C4 photosynthesis In C4 species, electron transport occurs in both M and BS cells, but the energy supply and demand vary considerably between both photosynthetic cell types. In NADP-ME C4 photosynthesis, which is simulated by the model, M cells per- form whole-chain electron transport, whereas BS cells have low PSII activity. High rates of cyclic electron transport around PSI in BS chloroplasts drive ATP synthesis (see Box 1), whereas NADPH is instead supplied by the M cells via the malate shuttle. In an attempt to enhance cyclic electron transport in NADP-ME-type C4 plants, Tazoe et al. (2020) overexpressed PGR5 in Flaveria bidentis, an NADP-ME C4 dicot. Although this led to a higher electron sink downstream of PSI and alle- viated acceptor-side limitation of PSI under fluctuating light, it did not impact CO2 assimilation. Cyclic and linear electron flow are both subject to so-called ‘photosynthetic control’ via the cytochrome b6f (Cyt-b6f) complex, which upon acidification of the thylakoid lumen causes deceleration of the oxidation of plastoquinol and limits electron flow towards plastocyanin (Foyer et al., 2012). A de- crease in Cyt-b6f content and proportional decline in electron transfer rates was observed in antisense Rieske FeS mutants of the C3 species tobacco (Price et al., 1995). More recently, the opposite strategy, overexpression of Rieske FeS, was shown to be sufficient to elevate Cyt-b6f content in the NADP-ME model C4 grass Setaria viridis (Ermakova et al., 2019). The re- sulting increase in Jmax also improved the rate of CO2 assimila- tion, via enhanced quantum yields of both photosystems and a decrease in loss of energy via non-photochemical quenching (NPQ). Slow temporal kinetics of NPQ have also been pre- dicted to decrease CO2 fixation (Murchie and Niyogi, 2011), and faster NPQ in transgenic tobacco plants was shown to significantly boost photosynthetic efficiency and productivity (Kromdijk et  al., 2016). Model simulations using maize PSII quantum yield recovery kinetics predict an even greater po- tential impact than found in tobacco (Zhu et al., 2004a), sug- gesting that the transgenic strategy by Kromdijk et al. (2016) may also have merit in C4 species. C4 cycle control over C4 photosynthesis rates None of the C4 cycle enzymes individually seems to have strong control (<0.07 dAn/dX in the model calculations) over the rate of photosynthesis under steady-state, highlight conditions (Fig. 3C), which is consistent with the notion that the CCM has to operate at slightly higher rates than the CBB cycle in order to achieve the CO2-concentrating effects while accounting for overcycling due to retrodiffusion of CO2 (termed leakiness, Farquhar, 1983; reviewed by Kromdijk et  al., 2014). That is, when An is already saturated with CO2, any further increases in CO2 concentration should not affect the rate of photosynthesis and instead increase leakiness and concomitant energy loss. In addition, the C4 cycle rate also determines the rate of reduc- tant shuttle from the M to BS chloroplasts. Although C4 acid transporters may also play a significant role (e.g. Weissmann et al., 2016), the C4 cycle rate is primarily controlled by the activity of NADP-malate dehydrogenase (NADP-MDH), the only thioredoxin-regulated enzyme in the C4 cycle (Leegood and Walker, 1999). However, activity of NADP-MDH under steady-state highlight conditions is typically in excess of the net assimilation rate (Usuda et al., 1984). Activity of NADP- MDH in mutant lines of F. bidentis could be reduced to <50% before CO2 fixation capacity was affected (Trevanion et  al., 1997), which led the authors to suggest that instead of a direct regulatory role in photosynthesis, the covalent regulation of NADP-MDH activity may function to keep the chloroplastic NADP pool largely reduced and to limit reductant transfer from the chloroplast under darkness. In contrast to steady-state, under transient conditions strong control coefficients are predicted for C4 cycle enzymes. During photosynthetic induction due to a change in light intensity from 0 to 1800 μmol m−2 s−1, PPDK exerts a strong control over An during the first minutes (Fig. 4). PPDK is an important enzyme Improving C4 photosynthesis to increase productivity | 5947 in C4 photosynthesis, controlling the regeneration of PEP, the substrate for the primary carboxylation event (Chastain et  al., 2011). The importance of PPDK for non-steady state photosyn- thesis is well known (Usuda et al., 1984). However, PPDK can be rapidly activated via dephosphorylation in response to changes in light intensity (Chen et al., 2014). Consequently, in response to a step increase in light, PPDK increases activity much faster than photosynthesis, which is consistent with the notion that the transient control coefficient of PPDK (Fig. 4B) is not as- sociated with direct control over the carbon uptake flux, but rather with building up the large metabolic pools essential for C4 photosynthesis (Stitt and Zhu, 2014). PPDK corresponds to 7–10% of the protein content of M cells (Edwards et al., 1985), and its activity was found to exceed the rate of photosynthesis only slightly in maize (Usuda et al., 1984). In addition, small re- ductions in PPDK gene expression and amounts led to lower assimilation rates in F. bidentis (Trevanion et al., 1999). However, since a significant fraction of PPDK (up to one-third) remains phosphorylated under fully activated conditions (Edwards et al., 1985), some overcapacity seems to exist. As mentioned above, after An is induced far enough to significantly deplete Ci, the control over An shifts strongly to stomatal conductance and to some extent to PEPC. Extractable activity of PEPC is typically several-fold higher than in vivo activity (Laisk and Edwards, 1997) due to strong post-translational control by metabolites as well as revers- ible phosphorylation. Reversible phosphorylation of a PEPC serine residue increases its activity, while at the same time it reduces the inhibitory effect of malate and aspartate and in- creases the sensitivity to activation by sugar-phosphates (and glycine in monocots) (Doncaster and Leegood, 1987; Leegood and Walker, 1999; Gowik and Westhoff, 2011). Structural ana- lysis of the homotetrameric PEPC showed that each monomer contains separate binding sites for the substrate PEP and the allosteric inhibitors malate and aspartate (Schlieper et al., 2014). The evolutionary co-opting of PEPC in C4 photosynthesis has led to different kinetic properties in the C4 isoform (Gowik and Westhoff, 2011) and several residues responsible for these changes have been discovered. Comparative analysis of crystal structures of C3 and C4 PEPC identified an arginine to glycine mutation in the C4 variant, leading to decreased inhibition by malate/aspartate (Paulus et al., 2013). Another single serine to alanine substitution decreases PEPC affinity for bicarbonate in the C4 isoform (DiMario and Cousins, 2019). Based on the balance between in vivo PEPC and Rubisco capacity in 49 C4 species (Pignon and Long, 2020), it could be hypothesized that a strategy shifting leaf nitrogen (N) investment away from PEPC towards Jmax and Rubisco could be effective to achieve higher rates of photosynthesis. A  similar hypothesis was pro- posed by Kromdijk and Long (2016) for C3 species, suggesting that leaf N investment for high An could be more effective by a shift from carboxylation towards regeneration capacity in the CBB cycle. However, considering the non-negligible control of PEPC over non-steady-state photosynthesis (Fig. 4), and the perceived importance of dynamic photosynthesis over total canopy CO2 fixation (Murchie et al., 2018; Slattery et al., 2018), there could be significant drawbacks to this strategy. How can C4 photosynthesis under suboptimal conditions be improved? Whereas the factors above are important for C4 performance under optimal non-stressed conditions, factors controlling photo- synthetic rates under suboptimal, stressed conditions are arguably more important for crop productivity. We used the model flux analysis by Wang et al. (2021) to account for short-term environ- mental stresses (Fig. 5) simulating drought [vapour pressure deficit (VPD) changed from 1.5 kPa to 3.5 kPa], heat, and cold stress (air temperature changed between 10 °C and 40 °C). The simulated 0 400 800 1200 1600 Time (s) C4 cycle −0.3 0.0 0.3 0.6 0.9 1.2 0 400 800 1200 1600 Time (s) dA n /d X (% /% ) gs Jmax Light reactions and stomata 0 400 800 1200 1600 Time (s) CBB cycle1 1 MDH NADP−ME PEPC PPDK 3 4 5 6 6 3 5 4 FBPase PRK Rubisco SBPase 7 8 9 10 7 9 10 8 A B C 2 2 1 Fig. 4. Simulated control coefficients of individual factors over An during a step increase in photosynthetically active radiation. Light reactions and stomatal diffusion (A), C4 (B), and CBB cycle (C) enzymes of An in maize. The individual factors are numbered and indicated in the diagrammatic representation in Fig. 3A. Control coefficients were computed as the first derivative of An normalized to each respective control factor X (dAn/dX). Photosynthetically active radiation was changed from 0 to 1800 μmol m−2 s−1 at time=0 s. Other environmental settings for the simulation were air temperature of 28 °C, ambient CO2 concentration of 410 ppm, and air vapour pressure deficit (VPD) of 1.5 kPa. For a full description of the model and parameters, see Wang et al. (2021). 5948 | Sales et al. drought conditions induce a shift from enzymatic factors to diffusional control of An by stomatal conductance (Fig 5A–C), which suggests that under these dry conditions, An becomes limited by CO2 supply despite the concentrating action of the C4 cycle. The shifts in the control coefficients in response to air temperature (Fig. 5D–F) are reflecting the differential responses of enzymatic activities which are strongly impacted by tempera- ture, and the photosynthetic light reactions, which are much less affected. As a result, low temperatures dramatically increase the control coefficient of Rubisco, whereas under high temperatures, An is primarily controlled by electron transfer capacity. Notably, the co-limitation between Rubisco and Jmax at 30 °C is replaced at 20 °C by co-limitation between Rubisco and C4 cycle activity via PEPC, NADP-ME, and PPDK activities. Chilling temperature effects on C4 photosynthesis Due to their evolutionary origins from tropical and subtrop- ical regions, most C4 species are maladapted to chilling tem- peratures, in particular in combination with exposure to light which gives rise to chilling-induced photoinhibition (Taylor and Craig, 1971; Long et  al., 1983). The most extreme crop example is probably sugarcane, which is particularly chilling sensitive (Grantz, 1989; Głowacka et  al., 2016), and severely limited in its latitudinal range. However, even though maize has better chilling tolerance, it is still the most susceptible crop to chilling-induced photoinhibition amongst those grown in temperate regions (Hetherington et  al., 1989). Improving resilience to low-temperature conditions in C4 crops could have a strong economic impact by increasing latitudinal range, helping to reduce year by year yield variability and decreasing early season competition with weeds. The model predictions suggest that increasing Rubisco activity is key to maintaining photosynthetic capacity under chilling conditions (Fig. 5F). However, transgenic maize lines with increased Rubisco con- tent did not show better performance during chilling condi- tions, which suggests that Rubisco is not the primary limiting factor that causes maize susceptibility to low temperatures, al- though Rubisco overexpression may help plants recover faster from chilling events (Salesse-Smith et al., 2020). l 0.0 0.3 0.6 0.9 1.2 1.5 dA n /d X (% /% ) Light reactions and stomata VPD 1.0 kPa 3.5 kPa l 0.0 0.3 0.6 0.9 1.2 1.5 gs Jma x dA n /d X (% /% ) Temperature 10 °C 20 °C 30 °C 40 °C PE PC MD H NA DP - ME P PD K l Ru bis co PR K FB Pa se SB Pa se l C4 cycle CBB cycle 1 2 3 4 5 6 7 8 9 10 A B C D E F Fig. 5. Simulated control coefficients of individual factors over An during steady-state under environmental stress conditions. Light reactions and stomatal diffusion (A, D), C4 (B, E), and CBB cycle (C, F) enzymes, during steady-state An in maize under contrasting air vapour pressure deficit (VPD; A–C) and air temperature (D–F). The individual factors are numbered and indicated in the diagrammatic representation in Fig. 3A. Control coefficients were computed as the first derivative of An normalized to each respective control factor X (dAn/dX). Environmental settings for the simulation were air temperature of 10–40 °C, photosynthetically active radiation of 1800 μmol m−2 s−1, ambient CO2 concentration of 410 ppm, and VPD of 1 or 3.5 kPa. For a full description of the model and parameters, see Wang et al. (2021). Improving C4 photosynthesis to increase productivity | 5949 Protein lability under low temperatures could play an im- portant role in chilling tolerance. Several important proteins, most notably PEPC (Kingston-Smith et al., 1997; Chinthapalli et  al., 2003), PPDK (Du et  al., 1999), as well as Rubisco (Kingston-Smith et al., 1997; Du et al., 1999; Pittermann and Sage, 2001b; Chinthapalli et al., 2003), show increased rates of breakdown under chilling conditions. It is worth noting that the model calculations shown in Fig. 5 do not consider any ef- fects of protein breakdown. In other words, the enhanced con- trol coefficient which the model predicts for Rubisco activity under chilling temperatures is based purely on the kinetic properties of the enzyme, but in reality it will be compounded by the loss of activity due to protein disintegration. The effects of protein breakdown enhance the control of the cold-labile proteins PEPC and especially PPDK over An under cool con- ditions. Indeed, comparisons between maize and its chilling- tolerant distant relative Miscanthus×giganteus demonstrate that the latter responds to chilling with a strong transcriptional up-regulation of gene expression networks involved in photo- synthesis and carbon assimilation, as well as protein synthesis and degradation (Spence et  al., 2014) to counteract the en- hanced breakdown of proteins such as Rubisco, PEPC, and PPDK (Naidu et al., 2003; Wang et al., 2008; Serrano-Romero and Cousins, 2020), resulting in superior productivity under temperate climates (Dohleman and Long, 2009). Experiments with chilling temperatures in the presence and absence of illumination show that light, although not a pre- requisite for photoinhibition (Ortiz-Lopez et al., 1990), clearly has an exacerbating role in the extent of chilling damage in maize (Taylor and Craig 1971; Long et al., 1983). This is due to the fact that light-harvesting and electron transfer reac- tions are much less perturbed by low temperature than down- stream electron sinks. The resulting imbalance increases the probability of formation of reactive oxygen species (ROS), which are the primary cause of photodamage. Photoprotective and ROS-scavenging mechanisms are therefore important to maintain efficient C4 photosynthesis under suboptimal tem- peratures. The differences between chloroplast populations in BS and M cells in NADP-ME C4 species (see Box 1) may need to be considered in this regard. In maize, BS and M cells have distinct antioxidant capacities (Doulis et  al., 1997) rela- tive to the availability of reducing power in each compartment (reviewed in Turkan et al., 2018), with BS cells often lacking antioxidant capacity. Under optimal conditions, intracellular transport of reduced and oxidized forms of antioxidants al- lows continued ROS scavenging in BS cells. However, under low temperatures, the transport between compartments may become impaired, exposing the BS cells to oxidative stress (Kingston-Smith and Foyer, 2000). In addition, although most work on chilling-induced photoinhibition has focused on PSII inhibition, PSI inhibition is particularly prominent under cool conditions combined with fluctuating light (Kono et al., 2014). PSI is especially sensitive to inhibition when PSI electron ac- ceptors are limited and the lack of an efficient repair cycle leads to prolonged recovery times which can span several days (Sonoike, 2011). These characteristics are consistent with the hallmark signs of chilling-induced photoinhibition in maize and sugarcane (Pimentel et  al., 2005; Głowacka et  al., 2016). Indeed, PSI activity can be strongly reduced by chilling or photoinhibitory treatments (e.g. Baker and Nie, 1994; Savitch et al., 2011; Qiao et al., 2020), which would justify another look at a putative role for PSI in chilling-induced photoinhibition of C4 species. Drought stress effects on C4 photosynthesis Increasing temperatures and fewer predictable precipitation events caused by global climatic change, are expected to in- crease the frequency of high VPD conditions and reduced water availability during crop growth (Yuan et al., 2019). High WUE, defined as the amount of carbon fixed per unit of water lost, can help to conserve soil water content for critical mo- ments during the growing season. Although C4 species typic- ally have higher WUE than C3 plants, the differences diminish under drought conditions (Ripley et  al., 2010; Taylor et  al., 2010). Under mild drought, a decrease in Ci can significantly affect saturation levels of CO2 around Rubisco. Consequently, An becomes limited by stomatal diffusion (Fig. 5A) as well as by PEPC. In addition, and consistent with the CO2 limita- tion of An, work with Zea mays lines with strongly reduced carbonic anhydrase (CA) activity suggests that this may also become a minor limitation at low Ci (Studer et al., 2014; Kolbe et  al., 2018). Similarly, the leaf internal conductance to CO2 from the intercellular airspaces to the sites of fixation (meso- phyll conductance, gm) may also impact An and WUE at low Ci (e.g. Kolbe and Cousins, 2018), but the mechanism and role of gm in limiting An in C4 species under different environmental conditions are not very well understood. Native responses of PEPC in C4 species under water deficit do not show a clear picture, with some results indicating a decrease in activity (Becker and Fock, 1986; Du et al., 1996) and others showing little change or increased activities of PEPC (Saliendra et al., 1996; Foyer et al., 1998; Carmo-Silva et al., 2007; Ghannoum, 2009; Pissolato et al., 2020). Beneficial effects of overexpression of PEPC have been reported for maize plants grown under mild drought conditions, resulting in higher WUE and in- creased biomass (Jeanneau et al., 2002), but these effects were suggested to stem from a pleiotropic negative effect on sto- matal density of the PEPC overexpression, rather than from direct enhancement of the C4 cycle. Indeed, transgenic maize with reduced stomatal density (Liu et  al., 2015) or increased stomatal sensitivity to abscisic acid (Brugière et al., 2017) had lower gs and increased WUE when subjected to drought. In addition, reduced gs under high VPD was successfully used as a trait in breeding programmes to produce more drought- tolerant maize (Messina et al., 2020). After prolonged exposure, drought-induced reductions in An can no longer be rescued by high CO2, suggesting that 5950 | Sales et al. biochemical limitation replaces stomatal conductance as the dominant control factor (Ghannoum, 2009; Ripley et al., 2010; Bellasio et al., 2018). The exact biochemical bottlenecks are not easy to pin-point, but could be related to impaired activities of CBB or C4 cycle enzymes. Although effects of drought on different photosynthetic enzymes appear strongly species de- pendent, impairment of Rubisco under drought conditions is often found (Du et al., 1996; Saliendra et al., 1996; Carmo-Silva et al., 2007; Ghannoum, 2009; Perdomo et al., 2017). However, maize with increased Rubisco content did not have a higher assimilation rate or plant growth under drought stress, and the overexpression was beneficial only for the recovery of photosyn- thesis after rewatering (Doron et al., 2020). Prolonged drought stress and reduced leaf water content may also negatively affect the integrity of the chloroplastic ATPase, and the resulting de- cline in ATP synthesis can decrease regeneration of substrates in CBB and C4 cycles (reviewed by Ghannoum, 2009). These phenomena are compounded by the enhanced build-up of ex- cess excitation energy under stress conditions, when the ab- sorbed light exceeds the energy requirements to drive C4 and CBB cycle activities. Whereas this is true for C3 and C4 species alike, the capacity for photoprotection under stressed conditions may be impaired in C4 plants in a cell type-specific manner. BS chloroplasts appear to have only limited capacity to undergo photoprotective movements. In addition, photorespiration is an important alternative electron sink to dissipate excessive exci- tation energy in C3 plants (Takahashi et al., 2007) which may be impacted by the C4 pathway. Photorespiratory mutants are lethal in maize (Zelitch et al., 2009), demonstrating the required presence of the pathway; however, it seems plausible that the capacity of the photorespiratory pathway in C4 species may be less sufficient to offer photoprotection under drought and high light stress. Heat stress effects on C4 photosynthesis Consistent with the model simulation (Fig. 5), Jmax has been shown to limit C4 photosynthesis at superoptimal temperatures (Pittermann and Sage, 2001a; Kubien et al., 2003; Dwyer et al., 2007), but the differences in electron transport characteristics be- tween M and BS chloroplasts (Box 1) make it difficult to discern more specific bottlenecks from these data. Additional limita- tions to C4 photosynthesis associated with high temperatures include reduction in Rubisco capacity, RuBP regeneration, and reductions in Rca activity (Crafts-Brandner and Salvucci, 2002; Kubien et al., 2003). Impairment of Rca activity can severely re- duce photosynthesis at high temperature (Salvucci et  al., 2001; Carmo-Silva and Salvucci, 2012; Perdomo et al., 2017; Scafaro et  al., 2018; Degen et  al., 2021). Although reduced transcript levels of Rca at high temperature in the C4 species F.  bidentis appeared not to be directly related to Rca protein accumula- tion (Hendrickson et al., 2008), intrinsic heat sensitivity of Rca in maize did explain decreased Rubisco activation (Perdomo et al., 2017). Differential expression of Rca-α and Rca-β isoforms in response to temperature may contribute to heat tolerance. Rca-α expression in five C4 grasses was induced by high temperatures Table 1. Summary of strategies to improve C4 photosynthesis and presence/absence of evidence from simulation modelling (S) or experimental data (E) under non-stressed steady state conditions or photosynthetic induction, cool temperature, high temperature and drought stress Factor Strategy for improve- ment Non-stressed Stressed Steady-state Induction Cool temperature High temperature Drought S (Fig. 3) E S (Fig. 4) E S (Fig. 5) E S (Fig. 5) E S (Fig. 5) E gs ✘ ? ✓ ? ✘ ? ✘ ? ✓ ✓(1) ✘(2) Electron transport Enhance CET ✘(3) ✓ ? ✘ ? ✓ ? ✘ ? Increase Rieske FeS ✓ ✓(4) ? ? ? ? Speed up NPQ ? ? ? ? ? C4 cycle PEPC ✘ ✘(5) ✓ ✓(5) ✘ ? ✘ ? ✘ ✓(6) NADP-ME ✘ ? ✘ ? ✓ ? ✘ ? ✘ ? PPDK ✘ ? ✓ ? ✓ ? ✘ ? ✘ ? CBB cycle: Rubisco Improve kcat ? ? ? ? ? Change small subunit expression ? ? ? ? ? Increase content ✓ ✓(7) ✓ ? ✓ ✘(8) ✓ ? ✘ ✘(9) Increase Rca expression ? ? ? ? ? Symbols denote no improvement of CO2 assimilation rate (✘), improvement of CO2 assimilation rate (✓) or unknown effect (?).  References: 1, Liu et al. (2015); 2, Brugière et al. (2017); 3, Tazoe et al. (2020); 4, Ermakova et al. (2019); 5, Laisk and Edwards, 1997; 6, Jeanneau et al. (2002); 7, Salesse-Smith et al. (2018); 8, Salesse-Smith et al. (2020); 9, Doron et al. (2020). Improving C4 photosynthesis to increase productivity | 5951 (Kim et al., 2021) and appeared to be involved in Rca hexamer stability. These results are different from what has been seen in the C3 grass wheat, in which Rca1β is more thermostable among the three Rca isoforms Rca1β, Rca2β, and Rca1α (Scafaro et al., 2019; Degen et al., 2021), but similar to heat-treated rice (Wang et  al., 2010). Specific amino acid substitutions between thermosensitive and thermotolerant isoforms have been iden- tified to act as thermal and regulatory switches in wheat Rca which strongly impact performance under high temperature in vitro (Scafaro et al., 2019; Degen et al., 2020). Transgenic expres- sion of the thermostable Rca from Oryza australiensis improved yields in heat-stressed O. sativa (Scafaro et al., 2018), and a similar strategy based on overexpression of a transgenic or mutated ther- mally stable Rca isoform may also hold promise for improving photosynthetic heat tolerance in C4 species. Substantial natural genetic variation in photosynthesis of C4 crop species The C4 photosynthetic bottlenecks discussed in the previous paragraphs are summarized in Table 1, which provides a list of key attributes that could have potential to improve photo- synthesis. To find out whether these attributes could be im- proved via breeding, the presence of existing genetic variation in a species germplasm is a prerequisite. Although some di- versity has probably been lost during domestication (Doebley et al., 2006), there appears to be significant genetic variation for photosynthetic traits in the germplasm of several C3 crops (Driever et al., 2014; Gaju et al., 2016; Carmo-Silva et al., 2017; Pennacchi et al., 2018; Molero et al., 2019; Acevedo-Siaca et al., 2020, 2021), with varying degrees of heritability, in some cases presenting clear opportunities for marker-assisted breeding of future cultivars (e.g. Adachi et al., 2017). In this section, we re- view progress in using natural genetic variation to improve C4 photosynthesis. Chilling tolerance Considerable variation in sensitivity to chilling-induced photoinhibition exists between accessions of different C4 spe- cies, as shown for example in maize (e.g. Aguilera et al., 1999; Fracheboud et  al., 2004; Pimentel et  al., 2005) and sorghum (Ortiz et  al., 2017), but the mechanistic and genetic basis of this variation still remains largely undefined. The latter study with 304 sorghum accessions showed that there is significant natural variation in the photosynthetic response of sorghum lines to cold stress and their capacity to recover, and several putative genomic regions and candidate genes were iden- tified. The understanding of allelic variants associated with these physiological traits could help identify key processes and genes to manipulate by breeding or engineering approaches (Ortiz et al., 2017). In maize, the replacement of landraces by hybrids has drastically reduced the allelic diversity utilized in elite germplasm. However, large-scale production of doubled- haploid lines from promising landrace accessions coupled with genotyping and broad phenotypic characterization should help to make the allelic diversity of landrace collections more readily available for breeding programmes. This approach was recently applied to European flint maize (Hölker et al., 2019). As an early sign of their potential to improve chilling tolerance in maize, doubled-haploid lines from these European land- races outperformed flint founder lines as well as commercial hybrids in early development across a range of 11 temperate environments. An alternative strategy to improve chilling tolerance is via introgressions from closely related tolerant C4 species. The generation of intergeneric hybrids between chilling- sensitive Saccharum and the chilling-tolerant Miscanthus which show high levels of chilling tolerance in F1 ‘miscanes’ (Kar et al., 2019) can be seen as a first step in this strategy, which could allow production of sugarcane and energy cane culti- vars for more temperate climes. The recent publication of the Miscanthus sinensis genome (Mitros et  al., 2020) will help to accelerate the identification of genomic regions specifically relevant to its superior performance under low temperature. Water-use efficiency C4 plants are generally more efficient in water use than C3 plants, but might be improved further by leveraging natural variation in WUE traits within crop germplasm (reviewed by Leakey et  al., 2019). Leaf-level WUE and its component traits An and gs show significant within-species variation in diversity or mapping populations of several C4 species, such as switchgrass (Taylor et  al., 2016), sorghum (Ferguson et  al., 2020a Preprint), and maize (Xie et al., 2020). Sugarcane geno- types with higher WUE, due to lower gs in combination with high photosynthetic capacity, were identified by Li et al. (2017), which may offer breeding potential for higher WUE. Similarly, Pignon et  al. (2021) identified significant variation in leaf WUE traits across a collection of contrasting sorghum lines. However, detailed analysis of steady-state and dynamic WUE and its component traits An and gs across these acces- sions also identified inherent trade-offs between trait combin- ations which may severely limit the potential for improvement. Because An and gs are positively correlated, the range of vari- ation in their ratio (WUE) is typically smaller than for the individual component traits. In most of the aforementioned studies, the major source of variation in leaf-level WUE is gs. Using hierarchical grouping by gs classes, Jackson et al. (2016) identified leaf intercellular [CO2] as a major correlate with leaf-level and whole-plant metrics for WUE in sugarcane. In C3 plants, the normalized Ci/Ca metric and related isotopic proxy (∆ 13C) have been successfully applied to develop wheat lines with higher WUE (Condon et al., 2004), which may also be possible in C4 species (Ellsworth and Cousins, 2016; Eggels et al., 2021). ∆ 13C can be strongly genetically determined in C4 5952 | Sales et al. species such as maize (Gresset et al., 2014; Twohey et al., 2018). However, the theoretical slope of the correlation between ∆ 13C and Ci/Ca in C4 species can be negative or positive since the relationship is confounded by the impact of BS leakiness (i.e. the rate of retrodiffusion of CO2 from the BS cells relative to the rate of PEP carboxylation). Although BS leakiness is rela- tively constant under most conditions, it can increase consider- ably under drought or nutrient stress conditions (reviewed by Kromdijk et al., 2014) and in particular under low light inten- sity (Kromdijk et al., 2008, 2010). Despite these complications, co-localized quantitative trait loci (QTLs) for ∆ 13C and several WUE-related traits have been found in maize (Avramova et al., 2019) as well as in Setaria (Ellsworth et al., 2020). Semi-automated pipelines to characterize leaf-level (e.g. Ferguson et al., 2020a, Xie et al., 2020) or whole-plant WUE (e.g. Feldman et al., 2018) can increase phenotyping throughput dra- matically, which helps to alleviate the phenotyping bottleneck. Additional challenges associated with identification of genes or genomic loci underpinning differences in WUE are associated with the polygenic nature of the trait. To improve the reliability of genetic associations, several new approaches are being pion- eered. Ferguson et al. (2020a) demonstrated that the integration of genome-wide and transcriptome-wide association studies (Kremling et al., 2019) can be used to identify candidate genes for WUE with enhanced confidence. Feldman et al. (2018) used their temporally rich dataset of whole-plant WUE in a Setaria italica×S. viridis recombinant inbred line population to develop function-valued QTL models based on the average log of the odds score across the time course of the experiment, yielding fewer, higher confidence QTL. Predictive models can also be used to speed up breeding efforts, by linking genomic variation with physiological trait variation, and simulate the impact across a wide range of environments (e.g. Inman-Bamber et al., 2016; Kadam et al., 2019; Wu et al., 2019). Heat tolerance Unfavourably high temperatures can severely impact crop yields. In sugarcane, high temperature induced significant de- creases in net assimilation rate, maximal PSII efficiency, and activities of sucrose synthase and sucrose phosphate synthase, all of which were more strongly impacted in heat-sensitive compared with heat-tolerant genotypes (Kohila and Gomathi, 2018). In grain crops, the temperature during reproductive de- velopment is particularly critical, and temperatures >30  °C during flowering and seed set can negatively impact yield in maize and sorghum (reviewed by Kaushal et al., 2016). The C4 photosynthetic temperature response peaks at a higher tem- perature than the damage threshold temperature during repro- ductive development, hence crop breeding programmes have mostly focused on traits associated with reproductive success, such as pollen viability, stigma receptivity, and seed set per- centage (e.g. Alam et al., 2017) to improve crop heat tolerance. Substantial variation in heat tolerance is present in germplasm of C4 crops such as sorghum (e.g. Chopra et  al., 2017) and maize (Cairns et al., 2013; Naveed et al., 2016), but it is often unclear how much of this is underpinned by variation in photosynthetic, rather than reproductive, traits. Using different sowing dates to modulate exposure to moderate seasonal heat stress, Yadav et al. (2016) found a significant genotype-specific treatment response in photosynthesis rates across a panel of 21 maize inbred lines, which was correlated with biomass prod- uctivity. The genotypic differences in photosynthesis responses were not explained by dark-adapted PSII quantum yields, sug- gesting that enzymatic inhibition, rather than PSII inactivation, explained the observed differences. Metabolic profiling of two contrasting maize genotypes in response to sudden heat stress identified that the levels of nine key metabolites were strongly predictive for the difference in leaf photosynthetic recovery between the two lines (Qu et al., 2018). If this approach is more generally applicable, it may offer potential for high-throughput screening of photosynthetic heat tolerance. ‘Heat tents’ were used by Sunoj et  al. (2017) to raise average temperature by 8  °C during growth of a collection of sorghum genotypes, achieving quite severe heat stress, with daytime maximum temperatures kept at 45 °C. The net assimilation rate was de- creased in a genotype-dependent manner, and fluorescence- estimated thylakoid damage was weakly correlated with the heat stress inhibition, suggesting that this level of heat stress was sufficient to inactivate PSII. Considering that severe heat stress is particularly damaging to the oxygen-evolving complex of PSII (Murata et al., 2007), chlorophyll fluorescence measure- ments of PSII efficiency can be used to screen photosynthetic responses to heat stress (Murchie et al., 2018). Ferguson et al. (2020b) developed high-throughput screening for heat toler- ance in rice by combining visual (stay-green) responses with dark-adapted PSII quantum yields to rapidly increasing tem- peratures in excised leaf material, which may be applicable to C4 species such as sorghum and maize. Taken together, there appears to be substantial natural gen- etic variation in photosynthesis within germplasm of C4 crops, but physiological interpretation is often too minimal to as- sess how this variation is connected to the traits summarized in Table 1. Addressing this knowledge gap will require devel- opment of high-throughput proxies that specifically inform about the attributes in Table 1. How could increased photosynthetic efficiency enhance yield in C4 crops? Whereas the previous paragraphs have reviewed the range of strategies to alleviate photosynthetic bottlenecks in C4 crops and the potential to utilize natural genetic variation to make improvements, in this final section, the potential impacts of photosynthetic efficiency gains on yield are reviewed by looking at source–sink interactions in three main C4 crops: maize, sugarcane, and sorghum. Improving C4 photosynthesis to increase productivity | 5953 Photosynthetic source activity affects sink establishment and grain filling in major C4 crops The constraints to growth and productivity can be formulated in terms of supply and demand, or source versus sink (for a detailed discussion of the source–sink concept, see White et al., 2016; Chang and Zhu, 2017). Plants need a supply of carbo- hydrates from photosynthesis, water, and mineral nutrients to provide the building blocks and energetic demands to produce new tissue. When supply is insufficient, the growth that is real- ized will fall short of the potential growth. If so, growth would be source limited. Alternatively, growth can be constrained by the capacity of the growing parts to accumulate biomass. In this situation, an increase in resource availability would not stimu- late growth, which is termed as being sink limited. The relative simplicity of this concept is deceptive, and sink and source limi- tations are not mutually exclusive, but instead growth patterns continuously reflect a relative balance between source and sink constraints, termed the source–sink balance. The source–sink concept applied specifically to the plant’s carbon economy has been a popular framework for analysis of the interplay between photosynthetic activity and yield. For this purpose, the sink strength of the harvestable parts relative to the photosynthetic activity of the leaves reflects the source–sink balance. The plant parts that form the sink can, therefore, be markedly different between crop species. For maize, the sink strength of the harvestable parts con- stitutes the developing ears, which can be seen as a collec- tion of competing kernels. Sink strength at the plant level is largely controlled by the crop growth rate around silking, which strongly determines the number of kernels that set and fill (Tollenaar et al., 1992; Vega et al., 2001). The utilization of hybrid technology in maize has led to increased light capture and utilization via enhanced growing season length, and in- creased leaf area index and stay-green traits to maintain photo- synthetic efficiency longer, jointly raising source capacity by an estimated 113% (Lee and Tollenaar, 2007). Since the harvest index in hybrids is maintained at ~50%, sink strength appears to have increased in proportion to source capacity, which can be explained by the strong relationship between dry matter accumulation around silking and establishment of sink size via kernel number (Echarte et al., 2004). Further evidence for the role of photosynthesis in seed set and grain filling comes from defoliation experiments. Defoliation in maize leads to a decrease in grain yield (Barnett and Pearce, 1983) and grain quality (Shekoofa et al., 2010), with the effect on kernel number and grain filling being dependent on the timing of defoliation. Leaf removal around silking has a strong impact on kernel number and yield, whereas leaf removal at later stages only impacts grain filling and has less impact on yield (Tollenaar and Daynard, 1978). In sugarcane, the sink constitutes the sugar-accumulating culms, composed of elongated internodes. The accumulation of sugar to high concentrations (~500 mM sucrose in internode juice; Wu and Birch, 2006) is facilitated by several specialized features in the sucrose loading and translocation pathway (Wang et al., 2013). It includes high expression of SWEET13 sugar transporter genes in the photosynthetically mature leaf parts (Hu et al., 2018), a fine balance between soluble acid in- vertase and sucrose phosphate synthase to control the rate of sucrose formation in internodes, and expression of a specific sucrose transporter gene ShSUT1 to prevent sucrose backflow into the apoplast (Rae et al., 2005). Despite these specialized features, accumulation of sucrose in leaves of sugarcane can have a strong negative feedback on photosynthetic capacity. Partial shading or intermittent darkening of leaves alleviates feedback inhibition of photosynthesis (McCormick et  al., 2006, 2008a; Ribeiro et  al., 2017), whereas cold girdling or exogenous sucrose application promotes down-regulation of photosynthesis (McCormick et al., 2008b; Lobo et al., 2015). The inhibiting effect of sucrose accumulation seems to rely on signals derived from the concomitant accumulation of hexoses, trehalose-6-phosphate (T6P), and/or expression of hexokinase. The manipulation of these signals may allow decoupling of source activity from sink feedback and enable even greater su- crose accumulation (McCormick et al., 2009; Chandra et al., 2011). In sorghum, the parts constituting the relevant sinks for yield are dependent on the variety, and can vary from the grains (grain sorghum) to the stem (sweet sorghum), or a combin- ation of both in dual-purpose production systems. In sweet sorghum, the accumulation of sucrose in the stem internodes is facilitated by altered expression of several sucrose transporters (Milne et al., 2013) and vacuolar invertase isoforms (Chi et al., 2020), compared with grain varieties. In grain sorghum, grain sink strength is strongly determined by seed set in the panicle, which in turn depends on the crop growth rate around an- thesis. As a result, photosynthetic activity around this period is especially important for sink formation and yield, similar to the situation in maize. Consistently, leaf removal at booting and anthesis stages has a strong negative impact on grain sor- ghum yield via reduction in seed number, as well as average seed weight (Stickler and Pauli, 1961; Legwaila et  al., 2013). In dual-purpose production systems, both stem and grain are important sinks for yield. While the elongating internodes are potent sinks during vegetative growth, the grains develop later. Panicle pruning in a range of tropical sorghum genotypes did not affect stem sugar content (Gutjahr et  al., 2013a, b), sug- gesting that competition between both sinks is largely pre- vented due to the temporal separation in development. Crop management can have important implications for source–sink interactions. Strong source activity during the de- velopment and filling of sinks is needed for stable and high yields, but can be affected by the timing of planting. For ex- ample, late planting in sub-Saharan Sudan–Sahelian climates can expose sorghum to severe post-anthesis droughts, which negatively impacts grain filling (Tovignan et al., 2016). Longer maintenance of green leaf area during drought periods via 5954 | Sales et al. stay-green traits can mitigate some of this yield loss in both grain and sweet sorghum (Borrell et al., 2000; Tovignan et al., 2016). Planting dates can also impact source–sink interactions at crucial developmental stages. For example, late plantings of summer maize to align crop growth with the timing of rain- fall in rain-fed cropping systems of Argentina can push back the period of grain filling into weather with unfavourably low light levels, leading to low photosynthetic activity, decreased grain filling, and yield loss (Bonelli et al., 2016). A similar situ- ation occurs in temperate monsoon climates in Northern China, where late plantings can confine maize grain filling to a period with suboptimal light levels, in this case caused instead by the onset of the rainy season (Gao et al., 2017). Increasing plant density leads to a lower source–sink ratio A major trend in crop production systems of grain crops is the steady increase in plant density. In species with only a few til- lers such as sorghum, or with only a single stem such as maize, increasing plant density will increase the number of ears or panicles per unit land area. Taking maize as an example, plan- ting density across nine US corn belt states has increased by 0.07±0.01 plants m−2 year−1 since the 1990s (Assefa et al., 2018) and is seen as an important factor underlying the steady increase in maize yield. How attainable these yield gains are depends on other crop management factors such as the fertilization level (Ruffo et al., 2016), as well as the weather conditions during the growing season. Despite breeding efforts to facilitate high planting density, for example steeper leaf angles, under stressful conditions such as drought, increased plant density may en- hance year-by-year yield variability, via increased competition between neighbouring plants (Lobell et al., 2014). In addition, we reason that the increases in planting density have profound effects on source–sink balance by promoting sink strength, whereas photosynthetic activity is largely deter- mined by the incident irradiance and much less impacted by plant density. To demonstrate the impact of planting density on source–sink balance further, we used a 3D functional– structural model (previously described by Evers and Bastiaans, 2016) to simulate a maize crop at different planting densities. The model simulations show that for the observed increase in average maize plant density from five to eight plants m−2 between 1987 and 2016 (Assefa et al., 2018), productivity and yield per unit area marginally increase (Fig. 6A, B), but prod- uctivity and yield per plant decline (Fig. 6C, D) while source– sink balance approximately halves (Fig. 6E). These results are only weakly affected by more upright leaf angles (different symbols, Fig. 6), which favours canopy photosynthetic activity in modern maize hybrids via more uniform vertical light dis- tribution across the canopy (Ort et al., 2015). Thus, crop yield becomes more strongly source limited with increasing plant 8.5 9.0 9.5 10.0 5.00 6.67 8.00 Bi om as s (t ha − 1 ) 5.0 5.5 6.0 6.5 5.00 6.67 8.00 Yi el d (t ha − 1 ) 80 120 160 200 5.00 6.67 8.00 Density (plants m−2) Bi om as s (g pl an t−1 ) 60 80 100 120 5.00 6.67 8.00 Density (plants m−2) Yi e ld (g pl an t−1 ) 0.3 0.5 0.7 0.9 1.1 5.00 6.67 8.00 Density (plants m−2) So ur ce :s in k du rin g fill in g Row distance 0.50 m 0.75 m Leaf angle 40° 50° 60° A B C D E Fig. 6. Simulated biomass productivity, yield and source-sink ratio of maize grown at different plant densities. Results are shown at field (A, B) and plant level (C, D) as means ±SD of 4–5 simulations. Source: sink ratio (E) was calculated during the grain-filling period. Input parameters were varied to simulate different leaf declination angles of 40°, 50°, and 60° (different symbols); and common row distances (Li et al., 2015; USDA, 2020b) of 0.50 m (solid line) and 0.75 m (dotted line). For a full description of the model and parameters, see Evers and Bastiaans (2016). Improving C4 photosynthesis to increase productivity | 5955 density, and the general trend of increasing plant density is likely to enhance the importance of photosynthetic efficiency for yield, especially in the grain crops sorghum and maize. Conclusions In this review we have explored the case for improvement of photosynthetic efficiency in C4 crops as a means to enhance productivity and yield. Despite the limited focus on improving photosynthetic efficiency in C4 compared with C3 species, there appears to be substantial evidence that this strategy may be achievable and beneficial for yield. Using model analysis and literature review, several tangible bottlenecks within the C4 pathway could be identified which exert strong control under relevant conditions for crop productivity, some of which can be alleviated via leveraging natural genetic variation in crop breeding programmes, whereas others may only be improved successfully via transgenic or gene editing methods. The decline in source–sink balance due to increases in planting density is likely to enhance the importance of photosynthetic efficiency for yield. Considering the predicted magnitude of the shortfall between food supply and demand, the timelines involved in crop breeding programmes, and the importance of C4 crops for global food, feed, and fuel production, implementing photo- synthetic improvement as part of the C4 crop improvement toolbox is both urgent and timely. Acknowledgements The authors thank Julian Hibberd for valuable comments on earlier ver- sions of the manuscript. 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