# Coral calcification mechanisms in a warming ocean and the interactive effects of temperature and light

Claire L. Ross, Andrew Warnes, Steeve Comeau, Christopher E. Cornwall, Michael V. W. Cuttler, Melissa Naugle, Malcolm T. Mcculloch, Verena Schoepf

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Claire L. Ross, Andrew Warnes, Steeve Comeau, Christopher E. Cornwall, Michael V. W. Cuttler, et al.. Coral calcification mechanisms in a warming ocean and the interactive effects of temperature and light. Communications Earth & Environment, 2022, 3, 10.1038/s43247-022-00396-8. insu-03661715

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Submitted on 7 May 2022

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# Coral calcification mechanisms in a warming ocean and the interactive effects of temperature and light

Claire L. Ross ID 1,2,3✉, Andrew Warnes<fnref n="1" />,², Steeve Comeau<fnref n="1" />,²,⁴, Christopher E. Cornwall ID 1,2,5, Michael V. W. Cuttler ID 1,2, Melissa Naugle ID 1,6, Malcolm T. McCulloch ID 1,2 & Verena Schoepf<fnref n="1" />,2,7

Ocean warming is transforming the world's coral reefs, which are governed by the growth of marine calcifiers, most notably branching corals. Critical to skeletal growth is the corals' regulation of their internal chemistry to promote calcification. Here we investigate the effects of temperature and light on the calcifying fluid chemistry (using boron isotope systematics), calcification rates, metabolic rates and photo-physiology of *Acropora nasuta* during two mesocosm experiments simulating seasonal and static temperature and light regimes. Under the seasonal regime, coral calcification rates, calcifying fluid carbonate chemistry, photo-physiology and metabolic productivity responded to both changes in temperature and light. However, under static conditions the artificially prolonged exposure to summer temperatures resulted in heat stress and a heightened sensitivity to light. Our results indicate that temperature and light effects on coral physiology and calcification mechanisms are interactive and context-specific, making it essential to conduct realistic multi-variate dynamic experiments in order to predict how coral calcification will respond to ocean warming.

<footnote n="1">¹Oceans Institute and Oceans Graduate School, The University of Western Australia, 35 Stirling Hwy, Crawley, Western Australia 6009, Australia. ²ARC Centre of Excellence for Coral Reef Studies, The University of Western Australia, 35 Stirling Hwy, Crawley, Western Australia 6009, Australia. ³Marine Science Program, Science and Conservation Division, Department of Biodiversity, Conservation and Attractions, Kensington, Western Australia 6151, Australia. ⁴Sorbonne Université, CNRS-INSU, Laboratoire d'Océanographie de Villefranche, 181 chemin du Lazaret, F-06230 Villefranche-sur-Mer, France.</footnote>

<footnote n="5">⁵School of Biological Science, Victoria University of Wellington, Kelburn, Wellington 6012, New Zealand. ⁶National Marine Science Centre, Southern Cross University, 2 Bay Drive, Coffs Harbour, NSW 2450, Australia. ⁷Department of Freshwater and Marine Ecology, Institute for Biodiversity and Ecosystem Dynamics, University of Amsterdam, 1098XH Amsterdam, Netherlands. ✉email: Claire.ross@dbca.wa.gov.au</footnote>
Reef-building corals are renowned for their ability to construct complex, three-dimensional reef frameworks through the biogenic accretion of their calcium carbonate (CaCO₃) skeletons, forming ecosystems of considerable biological and socioeconomic importance¹. However, the world's oceans are both warming and acidifying at an unprecedented rate due to rising anthropogenic CO₂ concentrations, posing a threat to all marine ecosystems, especially coral reefs²,³. The process of calcification is sensitive to declines in seawater pH and thus the aragonite saturation state of the seawater. Although some taxa show resistance to ocean acidification, responses are highly species-specific⁴,⁵ and ocean acidification is expected to result in decreased rates of calcification for many coral reefs⁶. Meanwhile, increasing ocean temperatures are triggering abrupt warming events that can last weeks to months³. When sea surface temperature exceeds the local summer maximum monthly mean (MMM), coral bleaching and mortality can occur due to the breakdown of the symbiosis with Symbiodiniaceae and the loss of the photosynthetic algal symbiont³. Summer-time temperatures are predicted to exceed localised thermal limits with increasing frequency and ocean warming is expected to correspond to extended summer temperatures and a shortening of the winter reprieve, particularly in the tropics⁷. Given that many corals are already living close to their upper thermal limits, these changes to seasonal thermal regimes are expected to further impact coral health, reef resilience and overall rates of calcification for many coral reefs worldwide⁷.

Corals are known to be highly adapted to their local seasonal temperature and light regimes, which can dictate the response of their physiology and calcification rates to changing ocean conditions. For instance, increasing temperature or light levels typically promote metabolism and stimulate calcification until a species- and location-specific optimum has been reached, after which calcification rates decline, and photosynthesis rates reach a plateau⁸⁻¹⁰. In addition to these key environmental controls, coral calcification is also a biologically mediated process dictated by several physio-chemical mechanisms¹¹. One such mechanism is the corals' ability to regulate their internal calcifying fluid chemistry, which in turn, dictates calcification rates¹¹⁻¹³. The coral calcifying fluid pH (pH<sub>cf</sub>) and dissolved inorganic carbon (DIC<sub>cf</sub>) can be characterized using a variety of techniques including microelectrodes¹⁴,¹⁵, pH-sensitive dyes¹³,¹⁶, and the boron isotope composition measured in the coral skeleton (δ¹¹B) in conjunction with the elemental ratio of boron to calcium (B/Ca)¹⁷,¹⁸. Coral pH<sub>cf</sub> is typically upregulated 0.3 to 0.6 pH units above seawater and DIC<sub>cf</sub> is approximately 1.4 to 3.2-fold higher than seawater DIC when integrated over timescales of weeks to months. This elevates the saturation state of the calcifying fluid (Ω<sub>cf</sub>) to promote calcification¹²,¹³,¹⁸⁻²⁰. A decline in seawater pH drives a decrease in pH<sub>cf</sub> and often promotes an offsetting biologically mediated increase in DIC<sub>cf</sub>, however, the magnitude of these changes is species-specific¹²,²¹,²².

The effects of temperature and light on pH<sub>cf</sub> and DIC<sub>cf</sub> are less clear and there are still gaps in our understanding of how thermal stress might influence bio-calcification mechanisms. For instance, heat stress has been found to disrupt the regulation of DIC<sub>cf</sub>²³ but does not affect the regulation of pH<sub>cf</sub> and/or δ¹¹B composition in most²³⁻²⁵, but not all²⁶,²⁷ coral skeletons. However, heat stress signals in coral pH<sub>cf</sub> or the skeletal δ¹¹B composition may not be easily differentiated from indirect temperature-driven declines in coral pH<sub>cf</sub> that have been found on natural reef systems¹⁸,²³,²⁵,²⁸⁻³⁰ and further supported using numerical modelling³¹. Laboratory studies to date have also produced contrasting results with respect to both temperature and light effects on pH<sub>cf</sub>. These range from no effects of temperature at 25° and 28 °C²⁴,³², to only small positive effects of temperature (equivalent to ~0.02 pH<sub>cf</sub> units) between temperatures of 22° and 25 °C³³. Similarly, the results for the influence of light on δ¹¹B range from no effects of light or depth³⁴ to very small negative

effects of light on δ¹¹B (equivalent to 0.04 pH<sub>cf</sub> units) for branching *Acropora*³³. More recently, light was found to have a positive effect on pH<sub>cf</sub> for *Plesiastrea versipora*, but no effect on pH<sub>cf</sub> for *Acropora yongei*³⁵.

Clear diurnal variations in the calcifying fluid chemistry in response to light and dark cycles indicate that pH<sub>cf</sub> increases in response to a light-driven increase in rates of photosynthesis and/or holobiont metabolic productivity¹⁵,³⁶. Field-based studies have documented clear seasonal trends in both coral pH<sub>cf</sub> and DIC<sub>cf</sub> as well as the strong negative relationships between pH<sub>cf</sub> and temperature¹⁸,²⁵,²⁸⁻³⁰,³⁷. This is consistent with an increase in the buffering capacity when DIC<sub>cf</sub> is higher, which lowers the pH<sub>cf</sub>³¹. Dynamic seasonal changes in the regulation of the calcifying fluid chemistry have not been detected in short-term culturing experiments to date, highlighting the importance of longer-term experiments that incorporate seasonal cycles in key environmental variables. Several studies on corals cultured under different temperature and light regimes have coupled measurements of key physiological variables, such as respiration and photosynthetic rates together with calcification rates and the calcifying fluid chemistry¹⁵,²³,³³,³⁸. The individual and combined effects of temperature and light on calcification mechanisms under both seasonally variable and constant conditions remain a key knowledge gap.

A major challenge of disentangling the effects of temperature and light on coral growth and physiology is that they co-vary seasonally. The naturally occurring 3 to 4 month lag between seasonal changes in temperature and light in some tropical reefs has provided a framework to partially isolate the effects of temperature from seasonally co-varying light, revealing the strong effect of temperature on pH<sub>cf</sub> versus the relatively muted influence of light on pH<sub>cf</sub>²⁹,³⁰. However, the ability to characterize the relative importance of different drivers of the calcification fluid chemistry and calcification rates is still limited by the capacity to fully decouple the effects of seasonal changes in light from seasonal changes in temperature due to their phase coherence. Decoupling the effects of temperature and light on key aspects of the calcification process therefore remains a knowledge gap that must be addressed given the importance of the calcifying fluid carbonate chemistry in dictating the response of coral calcification to future climate change.

To address these questions, we conducted two culturing experiments with seasonally variable and static temperature and light conditions for a common branching coral species, *Acropora nasuta*, collected from a Ningaloo Reef, Western Australia (23°S, 113°E). Using this dual-experiment approach, we simulate natural seasonal conditions as well as artificially prolonged exposure (> 2 months) to four different temperature regimes. We combine measurements of geochemical proxies (skeletal B/Ca and δ¹¹B) to reconstruct key components of the coral calcifying fluid carbonate chemistry (pH<sub>cf</sub>, [CO₃<sup>2-</sup>]<sub>cf</sub> and DIC<sub>cf</sub>) with rates of calcification, respiration and photosynthesis, and photo-physiology as a proxy for coral health (photochemical efficiency; F<sub>v</sub>/F<sub>m</sub>). Our results show complex links between metabolic productivity, calcifying fluid carbonate chemistry (DIC<sub>cf</sub>, pH<sub>cf</sub>) and calcification rates for *A. nasuta*. We further show the influence of artificially sustained exposure to local maximum summer temperatures on coral physiology and calcification. Our results highlight that different experimental temperature and light regimes in aquaria can result in variable physiological response patterns with implications for the design of future mesocosm studies in order to better understand how corals will respond to climate change under realistic ocean conditions.

## Results

### Photo-physiology

*Seasonal conditions.* Photochemical efficiency (F<sub>v</sub>/F<sub>m</sub>) in the seasonal experiment ranged from 0.60 to 0.66 (Fig. 1a). The
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**Fig. 1 Timeseries of coral photo-physiology and calcification rates.** Changes in F<sub>v</sub>/F<sub>m</sub> (mean ± 1 SE) during (a) the seasonal experiment and (b) static experiment. Temporal changes in calcification rates during (c) the seasonal experiment and (d) static experiment. Treatment conditions in the seasonal experiment are as follows: constant light and constant temperature (CLCT), seasonal light and constant temperature (SLCT), constant light and seasonal temperature (CLST), and seasonal light and seasonal temperature; (SLST). Treatment conditions for the static experiment are high and low light levels fully crossed with four temperatures. Note different date range on x-axis for each panel.

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**Fig. 2 Pearson correlation coefficients and importance scores.** Matrix of Pearson Correlation Coefficients and Importance Scores based on Akaike weights corrected for sample size (ωAICc) from linear mixed model analyses for (a) the seasonal experiment and (b) the static experiment exploring the influence of temperature, light, and time on the pH of the calcifying fluid (pH<sub>cf</sub>), carbonate ion concentration in the calcifying fluid ([CO<sub>3</sub><sup>2-</sup>]<sub>cf</sub>), dissolved inorganic carbon in the calcifying fluid (DIC<sub>cf</sub>), gross photosynthesis rate (P<sub>gross</sub>), net photosynthesis rate (P<sub>net</sub>), net dark respiration rate (R<sub>net</sub>), calcification rate (G-rate), and photochemical efficiency (F<sub>v</sub>/F<sub>m</sub>). For ωAICc, a value of 1 is highly important while 0 is least important. Asterisks denote significant models and n.d. indicates where temporal data (>1 time point) were not available to test time as a factor.

lowest F<sub>v</sub>/F<sub>m</sub> occurred during summer when temperature and light levels were highest (SLST; Fig. 1a). F<sub>v</sub>/F<sub>m</sub> was negatively correlated with seasonal changes in light (r<sup>2</sup> = -0.14, *p* = 0.040; Fig. 2a) and there were interactive effects of temperature, light and time (Table S1). However, there was minimal seasonal coherency in F<sub>v</sub>/F<sub>m</sub> in the treatments that had constant light (Fig. 1a). For this reason, light was the most important factor influencing F<sub>v</sub>/F<sub>m</sub> on seasonal timescales when temperatures are maintained below the bleaching threshold of 28 °C.

**Static conditions.** F<sub>v</sub>/F<sub>m</sub> in the treatments with high light and high temperature (27 H and 28 H) decreased from ~0.68 to ~0.57 (Fig. 1b). The lowest F<sub>v</sub>/F<sub>m</sub> was found for coral growing in the 27 H and 28 H treatments (ANOVA, LSD, *p* < 0.005, Fig. 1b) and these corals showed paling and early signs of bleaching. Overall, light was the most important factor for explaining

changes in F<sub>v</sub>/F<sub>m</sub> (Fig. 2b). F<sub>v</sub>/F<sub>m</sub> was significantly lower in the high light treatments than the low light treatments at all four temperatures (22 °C: ANOVA, LSD, *p* = 0.011; 24.5 °C: *p* = 0.015; 27 °C: *p* < 0.005; 28 °C: *p* < 0.005). In the low light treatments, F<sub>v</sub>/F<sub>m</sub> was significantly lower at 28 °C than 24.5 °C and 22 °C (ANOVA, LSD, *p* = 0.019 and *p* = 0.016; Fig. 1b). However, no visible signs of bleaching were observed in the corals growing under low light. Temperature, light and time also exhibited a significant interactive effect on F<sub>v</sub>/F<sub>m</sub> (Table S1). The synergistic effects of prolonged light and temperature were therefore important for driving changes in F<sub>v</sub>/F<sub>m</sub>.

## Photosynthesis and respiration rates

**Seasonal conditions.** Photosynthesis rates were approximately 40 to 60 % lower in winter compared to summer (Fig. 3a). Both temperature and light influenced photosynthesis and dark
<figure><img src="image_5.png" /></figure>

**Fig. 3** Coral metabolic rates, calcifying fluid carbonate chemistry and calcification rates. Changes in (a, b) net photosynthesis and dark respiration rates, (c, d) calcifying fluid dissolved inorganic carbon (DIC<sub>cf</sub>), (e, f) calcifying fluid pH (pH<sub>cf</sub>), (g, h) calcifying fluid carbonate ion concentration ([CO<sub>3</sub><sup>2-</sup>]<sub>cf</sub>), and (i, j) calcification rates for the coral *Acropora nasuta*. Values shown are mean ± SE. On the left is experiment 1 during summer (stripes) and winter (no stripes) for the three treatments with seasonally variable temperature and/or light, and the control treatment (grey). On the right is experiment 2 showing each of the eight temperature and light treatments at the end of the experiment. Treatment conditions for experiment 1 are the following: constant light and constant temperature (CLCT), seasonal light and constant temperature (SLCT), constant light and seasonal temperature (CLST), and seasonal light and seasonal temperature; (SLST). Treatment conditions for experiment 2 consist of high (28H, 27H, 24.5H, and 22H) and low (28 L, 27 L, 24.5 L, 22 L) light diurnal PAR cycles at each of the four temperatures (28 °C, 27 °C, 24.5 °C, and 22 °C).

respiration rates (Fig. 2a; Table S2). A significant interactive effect of light and time was found (Table S2). Dark respiration rates declined by 50 and 67 % in winter compared to summer for the two seasonally variable temperature treatments, CLST and SLST, respectively (Fig. 3a). There was minimal change in dark respiration rates under the constant temperature treatments CLCT and SLCT (Fig. 3a). Overall, temperature was the most

important predictor of photosynthesis and dark respiration rates (Fig. 2a; Table S2).

*Static conditions.* Dark respiration rates were higher under high light and photosynthesis rates were lower under high light compared to low light (Fig. 3b). The light was the most important predictor of photosynthesis and dark respiration rates (Fig. 2b;
<figure><img src="image_6.png" /><figcaption>**Fig. 4** Correlograms of physiological variables. Matrix of Pearson Correlation Coefficients for relationships between photochemical efficiency ($F_v/F_m$), net dark respiration rates ($R_{net}$), net photosynthesis rates ($P_{net}$), gross photosynthesis rates ($P_{gross}$), dissolved inorganic carbon in the calcifying fluid ($DIC_{cf}$), pH of the calcifying fluid ($pH_{cf}$), carbonate ion concentration in the calcifying fluid ($[CO_3^{2-}]_{cf}$), and the calcification rate (G-rate) for (a) the seasonal experiment, and (b) the static experiment. Asterisk (*) denotes significant relationships.</figcaption></figure>

Table S2). The effects of temperature and light on metabolic productivity was therefore quite different between the seasonal experiment and the static experiment, with the temperature being more important on seasonal timescales and light being more important under static conditions.

## Calcifying fluid carbonate chemistry

**Seasonal conditions.** In the seasonal temperature treatments, CLST and SLST, the $pH_{cf}$ ranged from ~8.42 during summer to ~8.60 during winter (Fig. 3e). This increase of 0.18 units in winter corresponded to a change in $pH_{cf}$ of ~0.05 / °C. There was also a significant effect of light on $pH_{cf}$ (Table S3). However, $pH_{cf}$ varied by just 0.05 units in the treatments with seasonal light and constant temperature, SLCT (Fig. 3e). On seasonal timescales, the temperature was the most important predictor of calcifying fluid pH ($pH_{cf}$, Fig. 2a). Temperature, light and time had an interactive effect on coral $DIC_{cf}$ (Table S3). Coral $DIC_{cf}$ varied by ~15 % in the constant light and seasonal temperature treatment (CLST), with values ranging from ~3,800 mol kg⁻¹ in winter to 4,400 mol kg⁻¹ in summer (Fig. 3c). However, changes in $DIC_{cf}$ were relatively minor (± 3 %) through time in the other three treatments (Fig. 3c). Coral $[CO_3^{2-}]_{cf}$ varied seasonally with light and increased by ~20% and ~8% during winter in the SLST and SLCT treatments, respectively (Fig. 3g). The change in $[CO_3^{2-}]_{cf}$ in the CLST treatment was minimal (± 6 %; Fig. 3g; Fig. S1). Temperature and time were important factors for the amount of carbonate in the calcifying fluid $[CO_3^{2-}]_{cf}$ (Fig. 2a; Table S3).

**Static conditions.** In the static experiment, $pH_{cf}$ ranged from 8.43 to 8.55 (Fig. 3f) and was negatively correlated with light (Table S3; Fig. 2b). Light and temperature had a significant effect on $pH_{cf}$ but light was also the most important predictor variable for $pH_{cf}$ (Table S3; Fig. 2b). Light was also the most important predictor variable for $DIC_{cf}$ (Fig. 3b). $DIC_{cf}$ was positively correlated with light and was ~20 % higher under high light compared to low light (Table S3, Fig. 3d). Coral $[CO_3^{2-}]_{cf}$ was influenced by temperature and light (Fig. 2b) but was relatively stable (±6 %) across all treatments ranging from just 930 to 1,040 mol kg⁻¹ (Fig. 3h).

## Calcification rates

**Seasonal conditions.** Calcification rates were generally higher in summer and lower in winter due to temporal changes in temperature and light in the seasonal experiment. Calcification rates

decreased by 45 to 55% during winter compared to summer in the seasonal treatments: SLST, SLCT, and CLST (Fig. 1c). Calcification rates were correlated with both temperature and light (Fig. 2a). Light, temperature and time had significant main and interactive effects on calcification rates (Table S4).

**Static conditions.** Calcification rates were ~50 % higher in the high light treatments for the first 3 months of the static experiment (Fig. 1d) and hence were positively correlated with light (Fig. 3, Fig. 2b). However, calcification rates declined over time due to exposure to artificially prolonged summer temperatures in the 27 °C and 28 °C high and low light treatments (Fig. 1d). There were significant main and/or interactive effects of temperature, light and time on calcification rates (Table S4).

## Relationships between coral response variables

**Seasonal conditions.** Dark respiration rates were negatively correlated with $pH_{cf}$ (Fig. 4a). Higher respiration was coupled with lower $pH_{cf}$ (Fig. 4a). There was a negative correlation between $DIC_{cf}$ and $pH_{cf}$ such that higher $pH_{cf}$ corresponded to lower $DIC_{cf}$ (Fig. 4a). Dark respiration rates were positively correlated with $DIC_{cf}$ and calcification rate indicating that higher dark respiration rates (i.e., higher uptake of O₂ and thus CO₂ production) corresponds to higher $DIC_{cf}$ and calcification rates. In contrast, $pH_{cf}$ and $[CO_3^{2-}]_{cf}$ were negatively correlated with calcification rates. Coral $pH_{cf}$ was also negatively correlated with rates of photosynthesis and respiration (Fig. 4a).

**Static conditions.** $DIC_{cf}$ and $pH_{cf}$ were negatively correlated such that higher $pH_{cf}$ corresponded to lower $DIC_{cf}$ (Fig. 4b). Dark respiration rates were positively correlated with $DIC_{cf}$ and calcification rate. However, $pH_{cf}$ and $[CO_3^{2-}]_{cf}$ were negatively correlated with calcification rates. Coral $pH_{cf}$ was positively correlated with rates of photosynthesis and negatively correlated with respiration rate and $DIC_{cf}$ (Fig. 4b).

## Discussion

Deciphering the influence of temperature and light on the calcification mechanisms of branching *Acropora* is important for assessing how the growth of key reef builders may change with ocean warming. Here, we show that on seasonal timescales, coral calcification rates follow changes in both temperature and light. However, under static conditions, the artificially prolonged exposure (> 2 months) to summer temperatures of 27° and 28 °C
results in heat stress and declines in calcification rates over time. We find that the effects of temperature and light are interactive, context-specific, and highly influenced by exposure time to different treatment conditions.

**Seasonal conditions: Disentangling the seasonal effects of temperature and light.** Photosynthesis and respiration rates were higher during summer and lower during winter in the seasonal experiment. Temperature and light both influenced photosynthesis rates, whereas temperature was a more important driver of respiration rates on seasonal timescales. Overall, these observations are in good agreement with many previous studies showing positive effects of both temperature and light on metabolism³³,³⁹⁻⁴². The metabolism of the symbionts is also known to play an important role in the light and/or temperature-driven supply of DIC in the form of metabolic CO₂ to the coral¹⁸,⁴³,⁴⁴. The positive relationship between dark respiration rates and DIC<sub>cf</sub> indicates that increased metabolic CO₂ productivity associated with higher respiration rates may contribute to higher DIC<sub>cf</sub> and overall calcification rates⁴³. Dark respiration rates could, however, be expected to mainly influence DIC<sub>cf</sub> during periods of darkness, whereas the calcifying fluid parameters presented here reflect signals integrated over multiple weeks.

An antithetic relationship exists between pH<sub>cf</sub> and DIC<sub>cf</sub>, which has been previously documented for a range of species (Table S6). This is consistent with a decrease in pH<sub>cf</sub> due to an increase in the buffering capacity of calcifying fluid when DIC<sub>cf</sub> is higher⁴,¹⁸,²¹,²⁵,³⁰,³¹. The relationship between pH<sub>cf</sub> and DIC<sub>cf</sub> is generally consistent among species and locations whereby most, but not all, corals show a decline in pH<sub>cf</sub> at a gradient of ~0.19 to 0.43 units with increasing DIC<sub>cf</sub>/DIC<sub>sw</sub> (Table S6). DIC<sub>cf</sub> is typically 1.4 to 3.2 times higher than ambient seawater when integrated over timescales of weeks to months¹⁸,²¹,²²,²⁵,³⁰,⁴⁵, and may differ to those measurements on hourly to daily timescales using micro-elctrodes¹⁴. Coral DIC<sub>cf</sub> was also influenced by both temperature and light, whereas seasonal changes in pH<sub>cf</sub> were mainly driven by temperature, and to a lesser extent light; indicating differences in the environmental controls. Previous field studies have shown a temperature driven change in pH<sub>cf</sub>¹⁸,²⁹,³⁰, which has also been explored using numerical modelling³¹. This is consistent with the influence of temperature on aragonite precipitation kinetics, buffering capacity, metabolism and DIC<sub>cf</sub>¹⁸,²⁵,³⁰,³¹. We found that the seasonal range in pH<sub>cf</sub> in the variable temperature treatments (SLST, CLST) was much larger (~0.18 units) than the constant temperature treatments (~0.05 units in CLCT, SLCT), indicating that temperature is the primary control over pH<sub>cf</sub>. These findings together with results from previous studies indicate that the temperature-driven decline in pH<sub>cf</sub> is generally ubiquitous in corals (Table S5). However, a clear response of pH<sub>cf</sub> to temperature is generally only detected under seasonally variable temperature and light, which highlights the importance of natural variation in key environmental conditions. The temperature dependence (slope) of pH<sub>cf</sub> differs between locations and coral taxa with a decrease in pH<sub>cf</sub> ranging from 0.01 to 0.05 per °C (Table S5). The slope of the temperature-pH<sub>cf</sub> response could be expected to shift systematically based on temperature due to the abiotic rate kinetics of aragonite precipitation³¹. However, this does not appear to be the case for all zooxanthellae taxa, indicating factors other than local temperature may influence the strength of the slope of the relationship between temperature and pH<sub>cf</sub>.

The calcification rates of *A. nasuta* in the seasonal experiment were positively correlated with temperature and light. This is consistent with light-enhanced calcification and the positive effect of temperature on metabolic rates and DIC<sub>cf</sub> as well as the

temperature-dependent rate kinetics of aragonite precipitation⁴⁶⁻⁴⁹. For instance, the temperature is often found to be the primary driver of calcification rates in controlled aquaria experiments⁸,⁹ and field studies⁴⁸,⁵⁰. Previous work has also found that there is a strong positive relationship between the calcifying fluid carbonate chemistry, in particular pH<sub>cf</sub> and [CO₃²⁻]ᵣ<sub>cf</sub>, and rates of calcification³⁰. While not measured here, another important parameter for calcification is the coral calcifying fluid calcium concentrations ([Ca²⁺]ᵣ<sub>cf</sub>), which tends to vary on seasonal timescales consistent with changes in calcification rates. The aragonite saturation state of the calcifying fluid (Ω<sub>cf</sub>) is also elevated to promote calcification, but is generally more stable on seasonal timescales³⁰. Due to the influence of temperature on pH<sub>cf</sub> (and hence [CO₃²⁻]ᵣ<sub>cf</sub>), an interesting paradox is that calcification rates are generally positively correlated with either temperature or [CO₃²⁻]ᵣ<sub>cf</sub> but not both. Given the importance of understanding temperature-growth responses in reef-building corals, such as *Acropora*, further research is required to decipher why the seasonal calcification rates of some branching corals are primarily driven by temperature and/or light while others are not.

**Static conditions: Thermal stress and the effects of light.** Under static conditions, the prolonged exposure to seawater temperatures that were close to (27 °C), or above (28 °C), the local upper summer thermal threshold resulted in heat stress and enhanced sensitivity to light. Reduced F<sub>v</sub>/F<sub>m</sub> photosynthesis rates, and calcification rates occurred in the 27 °C and 28 °C high light treatments after ~8 weeks. Under lower light levels, declines in F<sub>v</sub>/F<sub>m</sub> occurred much later (~16 weeks) in the 27 °C and 28 °C treatments. This is consistent with previous work showing that temperature and light can act synergistically to influence coral bleaching responses. For example, the light intensity can play a role in exacerbating thermal stress while substantially reduced light can alleviate stress⁹,⁵¹⁻⁵³. These responses are often highly species-specific and may be influenced by adaption and/or acclimatisation to local conditions. For tropical corals living close to their upper thermal limits, calcification rates often sharply decline in response to thermal stress once temperatures approach or exceed the upper thermal threshold or MMM⁸,⁹,⁴⁶. However, we documented a negative impact of prolonged summer temperatures even when the temperatures remained within the upper limits of the natural seasonal range⁵⁴. This highlights the increasing vulnerability of corals to ocean warming and prolonged maximum summer temperatures, even when temperatures remain below the typical bleaching threshold.

Under the static temperature and light levels, light was the main driver of changes in DIC<sub>cf</sub> and pH<sub>cf</sub>. Our findings of a light-driven change in pH<sub>cf</sub> albeit under relatively low light levels, is consistent with one previous study that documented a decrease in pH<sub>cf</sub> in cultured corals observed under enhanced light intensity³³. One explanation for this finding is that there may be an enhanced effect of light when corals are light limited. Although coral symbionts can adjust to varying light levels seasonally by regulating chlorophyll-a concentrations and tissue densities, previous work has shown that light levels below 200 mol m⁻² s⁻¹ can result in reduced rates of photosynthesis⁵⁵. Photosynthesis-irradiance curves were not measured in this study and can be highly species- and location-specific. However, it is possible that the corals in this relatively static experiment may have experienced lower light saturation and an increased sensitivity to light, potentially contributing to the relatively muted responses of pH<sub>cf</sub> and DIC<sub>cf</sub> to temperature.

Another possibility is that thermal stress may have influenced both DIC<sub>cf</sub> and pH<sub>cf</sub> because the skeletal material for geochemical analyses was sampled at the end of the experiment when the corals in the high-temperature treatments were showing signs of
sub-lethal stress (paling and declines in F~v~/F~m~). Previous work has shown that thermal stress can differentially impact DIC~cf~ and pH~cf~²³. Although not measured here, coral [Ca²⁺]~cf~ may also be influenced by thermal stress due to the energy required to replenish [Ca²⁺] required for calcification. The heat-stressed *Acropora* in this study nevertheless maintained both DIC~cf~ and pH~cf~ at levels elevated above seawater (DIC~cf~ above 1.5 x seawater and pH~cf~ above 8.3 compared to seawater ~8.0). These findings are further support that both DIC~cf~ and pH~cf~ are elevated and counter-regulated to maintain a threshold aragonite saturation state (Ω~cf~) for calcification even during instances where thermal stress impairs coral calcification rates due the loss of the photosynthetic symbionts. These findings show that the links between pH~cf~ and calcification are not necessarily always clear, particularly during instances of thermal stress where the photosynthetically fixed carbon pool available to the coral is affected²⁵,²⁷. Due to the importance of the calcification mechanisms of reef-building *Acropora*, further research is required to understand how changes in the calcifying fluid carbonate chemistry will influence calcification under future ocean warming.

## Conclusions

The findings from these two culturing experiments demonstrate that the effects of temperature and light on coral photo-physiology and calcification mechanisms are highly context-specific. Calcification rates were highest under high temperature and light, but only when exposed to maximum summer temperatures for short periods that were consistent with natural seasonal fluctuations. The clear relationship between temperature and pH~cf~ reported in previous field studies (Table S5) was only detectable under conditions that mimicked natural seasonal changes in temperature and light. This highlights the importance of seasonally variable light and temperature levels and using mesocosm conditions that closely reflect those at the site of coral collection.

Notably, we find that the effects of light and temperature on coral physiology are complex and interactive. Under static conditions, we observed light-enhanced thermal stress under artificially prolonged exposure to summer temperatures. Although the heat-stressed corals were able to maintain elevated pH~cf~ and DIC~cf~, their calcification rates were impaired. This indicates that prolonged summer temperatures under future ocean warming will likely result in sublethal stress and reduced calcification⁵⁶, particularly for those corals such as *Acropora* whose calcification mechanisms are highly sensitive to heat stress²³. Prolonged summer temperatures will continue to be particularly problematic as corals are known to be highly adapted to their local temperature regimes and already living close to the upper thermal limits⁵⁷. Coral bleaching due to marine heatwaves is currently the foremost threat to coral reef survival³. The future vitality of coral reefs therefore ultimately depends on urgent global efforts to rapidly and substantially mitigate CO₂ emissions to reduce the impacts of climate change.

## Methods

**Coral collection and aquaria set-up.** We conducted two culturing experiments simulating seasonally variable and static temperature and light conditions (Table 1) for the coral species *Acropora nasuta* collected from Ningaloo Reef, Western Australia (23°S, 113°E). The study species was branching *A. nasuta*, which has a broad geographic distribution spanning 104 ecoregions, globally⁵⁸. Individual colonies of *A. nasuta* were collected from a depth of ~2 m in Coral Bay for experiment 1 (n = 8 colonies) during December 2016 and for experiment 2 (n = 6 colonies) during June 2017. Samples were transported from Coral Bay to the Waterman's Bay Indian Ocean Marine Research Facility in Perth, Western Australia in insulated cooler tubs with fresh seawater and battery-operated air pumps. The colonies were maintained in flow-through mesocosm tanks with sand filtered,

freshly pumped seawater. Fragments of approximately 5 cm in length were glued to pre-labeled acrylic plates using cyanoacrylate glue (Ecotech Elements Coral Glue). One fragment of each parent colony was used for each treatment combination for each experiment. After plating the corals, they were given a 1-week recovery period before gradually adjusting temperature and light to the treatment conditions.

The temperature in all tanks was maintained using 500 W titanium aquarium heaters (Weipro) connected to a temperature control system (Apex, Neptune systems) regularly calibrated using a high-precision thermometer (Fisher Scientific Traceable). For experiment 1, the variance between the tanks for any given month was ± 0.20 °C, and for experiment 2, the variances in mean temperature of the replicate treatment tanks were ± 0.10 °C. The light was provided by LED aquarium lights (LEDZEAL) with custom-designed LED configuration to represent the light spectrum in shallow tropical waters. The tanks received no natural sunlight input and light levels were measured using an Apogee MQ-200 light meter at the level of the coral specimens in each tank. Light was cycled to mimic natural daily cycles with a linear ramp up from darkness to maximum output from 06:00 to 11:00, with a maximum output for two hours followed by a linear ramp down to darkness at 18:00. Moonlight was not simulated in the light cycle. Seawater was circulated with pumps (DC wavemaker pumps, Macro Aqua, China) and freshly pumped filtered seawater (corresponding to a mesh size of 25 µm) was continuously delivered to the tanks at approximately 2 to 3 L min⁻¹. Corals were fed brine shrimp (Ocean nutrition) at the end of the day twice weekly.

**Seasonal experiment.** The seasonal experiment spanned 9 months and tested seasonal temperature and light treatments. This design mimicked the typical seasonal conditions in temperature and light experienced by *A. nasuta* in its natural reef environment over one summer and one winter³⁰. Eight individuals (1 per colony) of *A. nasuta* were placed into each of the four treatments (Table 1). There were two 30 L tanks per treatment and the experiment lasted for 9 months. The four treatments were: constant light and constant temperature (hereafter CLCT), seasonal light and constant temperature (SLCT), constant light and seasonal temperature (CLST), and seasonal light and seasonal temperature (SLST; Table 1 and Fig. 5). Conditions in the seasonally variable temperature and/or light treatments mimicked the natural cyclical seasonal timing and were within the range of the natural conditions experienced at Ningaloo where average monthly seawater temperature typically ranges from approximately 22° to 27 °C but can be much lower during summer (25° to 26 °C) during colder years (e.g. strong El Niño) and can be much higher (28° to 29 °C) during marine heatwave conditions (e.g. La Niña) (NOAA, 2019). The coastal waters of Western Australia experience a 3 to 4 month offset in the phasing of light and temperature, in part due to the poleward flowing Leeuwin Current, which brings warm water along the coast from April to September. For this reason, there are only limited periods in the seasonal treatment (SLST) when high temperature overlaps with high light and when low temperature overlaps with low light (Fig. 5). Temperatures during experiment 1 did not exceed the bleaching threshold (MMM + 1 °C; NOAA, 2019) and were maintained at 27 °C for just 4 weeks, which is consistent with the duration that these MMM temperatures would occur in the field where the corals were collected from at Coral Bay, Ningaloo³⁰. Monthly averaged PAR (daily dose) reaching the benthos at 2 m depth ranges from approximately 13 to 40 mol m⁻² d⁻¹,³⁰. This seasonal range in daily mean light levels corresponds to a maximum daily noon PAR reaching the benthos of ~900 mol m⁻² s⁻¹ for just 1 to 2 hours during the summer solstice (December) and ~500 mol m⁻² s⁻¹ during the winter solstice (June). For the seasonally variable conditions, the light maximum (solstice) occurs in December whereas the seawater temperature maximum typically occurs 3 to 4 months later in March or April and hence a lag exists between temperature and light. In accordance with these changes in temperature and light, for this study summer is defined as 15th November through to 15th May, while winter is defined as 16th May through to 14th November. Given that the seasonal treatments commenced at the end of December 2016 and finished in early October 2017, the seasonal means (i.e., averaged over 6-month seasonal blocks) correspond to temperatures of 23.2 °C during winter and 26.0 °C during summer, and a mean daily dose of PAR of 18.8 mol m⁻² d⁻¹ during winter and 27.1 mol m⁻² d⁻¹ in summer. Shade curtains were installed between each of the tanks to prevent the light leaking between treatments. A total of 4 corals died at the beginning of the experiment, which reduced the replication to n = 6 for SLST, n = 7 for SLCT, and n = 7 for CLST.

**Static experiment.** The static experiment spanned 4 months and tested static exposure to temperature and light, with four temperatures fully crossed with two light levels. Six individuals (1 per colony) of *A. nasuta* were placed into two 40 L tanks per temperature treatment (Table 1). The eight treatments included four temperatures fully crossed with two light levels (Table 1; Fig. 5). The high light treatment was selected because it reflects typical light levels of many shallow reefs and the low light treatment reflects light levels that corals may experience under high cloud cover or in reduced light positions, such as deeper reef waters or in cervices³⁰. The corals were placed in positions receiving the required light levels from LED lights. The four temperature treatments are within the range of the natural conditions experienced at the coral collection site in Coral Bay where seawater temperature ranges from approximately 22° to 27 °C³⁰. The temperature treatments were selected because 22 °C reflects winter, 24.5 °C is the annual mean, 27 °C reflects the MMM and 28 °C is the bleaching threshold³⁰. Furthermore, the
<table><caption>Table 1 Temperature and light treatments.</caption><thead><tr><th rowspan="2">Exp.</th><th rowspan="2">Duration</th><th rowspan="2">Rep. Tank</th><th rowspan="2">Treatment Name</th><th colspan="2">Treatment conditions</th></tr><tr><th>Temperature</th><th>Light</th></tr></thead><tbody><tr><td rowspan="4">1: seasonal</td><td rowspan="4">9 months (Dec 2016 to Oct 2017)</td><td>2 x 30 L</td><td>Constant light, constant temperature (CLCT/control)</td><td>24.5°C</td><td>21 mol m<sup>2</sup> d<sup>-1</sup></td></tr><tr><td>2 x 30 L</td><td>Seasonal light, constant temperature (SLCT)</td><td>24.5°C</td><td>12 to 30 mol m<sup>2</sup> d<sup>-1</sup>(varied seasonally)</td></tr><tr><td>2 x 30 L</td><td>Constant light, seasonal temperature (CLST)</td><td>22° to 27°C (varied seasonally)</td><td>21 mol m<sup>2</sup> d<sup>-1</sup></td></tr><tr><td>2 x 30 L</td><td>Seasonal light, seasonal temperature (SLST)</td><td>22° to 27°C (varied seasonally)</td><td>12 to 30 mol m<sup>2</sup> d<sup>-1</sup>(varied seasonally)</td></tr><tr><td rowspan="8">2: static</td><td rowspan="8">4 months (Jun to Sep 2017)</td><td>2 x 40 L</td><td>28 Low light (28 L)</td><td>28°C</td><td>5 mol m<sup>2</sup> d<sup>-1</sup></td></tr><tr><td>28 High light (28 H)</td><td>28°C</td><td>15 mol m<sup>2</sup> d<sup>-1</sup></td></tr><tr><td>2 x 40 L</td><td>27 Low light (27 L)</td><td>27°C</td><td>5 mol m<sup>2</sup> d<sup>-1</sup></td></tr><tr><td>27 High light (27 H)</td><td>27°C</td><td>15 mol m<sup>2</sup> d<sup>-1</sup></td></tr><tr><td>2 x 40 L</td><td>24.5 Low light (24.5 L)</td><td>24.5°C</td><td>5 mol m<sup>2</sup> d<sup>-1</sup></td></tr><tr><td>24.5 High light (24.5 H)</td><td>24.5°C</td><td>15 mol m<sup>2</sup> d<sup>-1</sup></td></tr><tr><td>2 x 40 L</td><td>22 Low light (22 L)</td><td>22°C</td><td>5 mol m<sup>2</sup> d<sup>-1</sup></td></tr><tr><td>22 High light (22 H)</td><td>22°C</td><td>15 mol m<sup>2</sup> d<sup>-1</sup></td></tr></tbody></table>

Summary of the experimental design including the duration, number, and size (L) of tanks, as well as the treatments.

<figure><img src="image_7.png" /><figcaption>**Fig. 5** Temperature and light treatments. **a** Seasonal range in the diurnal light cycles for the seasonal experiment, and **b** the high and low diurnal light cycles for the static experiment. **c, d** Weekly averaged seawater temperature (blue lines) and daily PAR (grey lines) in the seasonal study, and **e** seawater temperature (green and yellow lines) and daily PAR (grey lines) in the static experiment. Dark blue shading denotes the intervals reflected in coral skeletal sampling for geochemistry. The light blue shading indicates when photosynthesis and respiration rate measurements were conducted. Treatment conditions are the following: constant light and constant temperature (CLCT), seasonal light and constant temperature (SLCT), constant light and seasonal temperature (CLST), and seasonal light and seasonal temperature (SLST).</figcaption></figure>
seawater temperature in Coral Bay rarely exceeds 27 °C for more than 4 weeks and does not generally exceed 28 °C for more than a few days, except during heatwave conditions (NOAA Coral Reef Watch, 2021). The duration of this experiment was 4 months including an initial acclimation period and ramp-up to treatment conditions of ~1 month, followed by treatment conditions for ~3 months (Table 1).

**Coral photo-physiology and calcification measurements.** Coral calcification rates, calcifying fluid carbonate chemistry, photochemical efficiency ($F_v/F_m$), net photosynthesis rates, and dark respiration rates were measured during both experiments. For calcification, the changes in weight were measured using the buoyant weight technique and were normalised to surface area (calculated based on the geometric technique) using regressions between surface area and dry weight as per previous methods⁵⁹,⁶⁰. The maximal quantum yield of electron transport through photosystem II ($F_v/F_m$, photochemical efficiency) was measured using a Diving-PAM (Walz, Germany). Measurements of $F_v/F_m$ were performed approximately 45 to 60 minutes after darkness and coral plates were cleaned before measurement using a soft cloth to remove any turf algae growth. The fibre optic probe on the PAM fluorometer was kept at a fixed distance (5 mm) using plastic tubing. The PAM settings used were as follows: measuring intensity (3), gain (3), saturation intensity (12) and signal width (0.8).

**Coral photosynthesis and respiration rate measurements.** Net photosynthesis and dark respiration rates were measured using oxygen production and consumption method via incubations. For measurements of net photosynthesis and dark respiration rates, samples were placed in fully sealed 1 L acrylic chambers containing seawater from the treatment tank. Dissolved oxygen (DO) content relative to air (Thermo Orionstar A323 RDO), temperature and salinity (YSI 85 O2, conductivity, salinity, and temperature probe) were recorded before and after an incubation time of approximately 60 minutes. Time was varied as required, based on the size of the coral fragments to achieve a change in % DO of at least 10% during the incubation. A two-point calibration of the DO meter was carried out daily using 0% DO seawater achieved by a saturated solution of sodium sulphite, and 100% DO (relative to air) seawater by aeration with an air stone for at least 30 minutes. Incubations were conducted in a temperature-controlled water bath at the same temperature as the respective treatments. Water movement within chambers was achieved using magnetic stirrers at 400 rpm. Irradiance levels matching the respective treatment at noon were maintained using the same LED lights as those used for the treatment tanks. For all incubations, a control chamber with the same filtered seawater as in the experiments containing no sample was used and any change in DO (DOE - DOI) subtracted from the sample readings. Incubation water volume (V) in L was measured using a measuring cylinder at the end of the incubation. Dark respiration incubations were repeated in the same way on a different day, within two days of the light incubation, on samples subject to at least 1 h of darkness. Dark incubations were typically about 90 min. Results were normalised to coral surface area. The density of the seawater (D) in kg L⁻¹, and concentration of DO in mg L⁻¹ (DOI = initial, DOE = final) at the measured temperatures and salinities were determined using the marelac R package.

**Coral geochemical measurements.** For the geochemical analyses to derive the calcifying fluid carbonate chemistry, we sampled the uppermost section of the apical tip of the *A. nasuta* skeleton representing 3 to 4 weeks of new $CaCO_3$ growth, as per previous methods³⁰. This ensured complete removal of the previous 3 to 4 weeks of apical growth, which was followed by visually tracking the re-growth of a new apical tip that solely represented the experimental conditions during each time period in-between sampling. The powder weight used for the analyses was 10 mg. Powders derived from the sampled coral skeleton were cleaned using 6% NaOCl solution and samples were then acidified in 0.58 N $HNO_3$. Trace element analyses (Sr/Ca, Mg/Ca, Ba/Ca, U/Ca and B/Ca) were performed on aliquots of the acidified samples using an X-Series 2 Quadrupole Inductively Coupled Plasma Mass Spectrometer (Q-ICPMS; Thermo Fisher Scientific). The extraction of boron from the acidified sample solutions was performed via paired cation-anion resin columns. All chemical dissolution and boron extraction procedures were undertaken in the metal-free hepa-filtered (ISO 7) cleanroom complex at the University of Western Australia (UWA)⁶¹. Solutions were then analysed with a NU Plasma II (Nu Instruments, Wrexham, UK) multi-collector inductively coupled plasma mass spectrometer (MC-ICPMS) at the Advanced Geochemical Facility for Indian Ocean Research (AGFIOR), UWA⁶¹. Measurements of the international coral standard JCp-1 (Geological Survey of Japan, Tsukuba, Japan) yielded a mean value of 24.28 ± 0.11 ‰ (mean ± SE, n = 7), which was similar to the 24.33 ± 0.11 ‰ (SE) reported previously. For the measurements of B/Ca, the JCp-1 yielded an analytical uncertainty of 2.5% at 2σ and a mean value of 458 ± 1.2 µmol mol⁻¹ (mean ± SE, n = 22), which are in good agreement with previously published values⁶². Calcifying fluid pH ($pH_{cf}$) and dissolved inorganic carbon (DIC$_{cf}$) were calculated using the δ¹¹B proxy method for $pH_{cf}$²⁰ and the δ¹¹B and B/Ca method for $[CO_3^{2-}]_{cf}$ and DIC$_{cf}$ as per previous methods¹⁷,¹⁸. The pH$_{cf}$ was derived from the measured skeletal δ¹¹B values according to the following equation:

$$pH_{cf} = pK_{B} - \log \left[ \frac{(\delta^{11}B_{sw} - \delta^{11}B_{carb})}{[\alpha_{B}\delta^{11}B_{carb} - \delta^{11}B_{sw} + 1000(\alpha_{B} - 1)]} \right] \quad (3.1)$$

where $pK_B$ is the dissociation constant of boric acid in seawater⁶³ at the temperature and salinity of the seawater, $\delta^{11}B_{carb}$ and $\delta^{11}B_{sw}$ are the boron isotopic composition of the coral skeleton and average seawater (39.61‰), respectively, and $\alpha_B$ is the isotopic fractionation factor (1.0272). All pH values are expressed on the total scale ($pH_{t}$).

We estimated the concentration of carbonate ions at the site of calcification ($[CO_3^{2-}]_{cf}$) using molar ratios of boron to calcium (B/Ca) according to the following relationship¹⁷,¹⁸:

$$[CO_3^{2-}]_{cf} = K_D^{B/Ca} \times [B(OH)_4]_{cf} / (B/Ca)_{CaCO_3} \quad (3.2)$$

where $[B(OH)_4]_{cf}$ is the concentration of borate in the calcifying fluid, and is pH-dependent and thus derived from $\delta^{11}B$, $K_D^{B/Ca}$ is the distribution coefficient for boron between aragonite and seawater that has been re-fit as a function of $[H^+]$, and $[B/Ca]_{arag}$ is the elemental ratio of boron to calcium measured in the coral skeleton¹⁷,¹⁸. A strong linear relationship exists between the derived $[CO_3^{2-}]_{cf}$ (using Eq. 3.2) and the known $[CO_3^{2-}]_{cf}$ from abiotic experiments¹⁷. The $K_D^{B/Ca}$ is calculated as a function of $[H^+]$ according to¹⁸:

$$K_D^{B/Ca} = 0.00297 \times \exp(-0.0202 * [H^+]_{cf}) \quad (3.3)$$

where $[H^+]$ in the calcifying fluid is estimated from the coral δ¹¹B-derived pH$_{cf}$ and only varies by less than ± 3% over the range in which most coral pH$_{cf}$ generally occur (8.3 to 8.6)⁶⁴. The concentration of DIC$_{cf}$ was then calculated from the estimates of pH$_{cf}$ and $[CO_3^{2-}]_{cf}$¹⁸.

**Statistical analyses.** Linear mixed-effects modelling examined the individual and interactive effects of temperature, light, and time on coral response variables. Tank and coral fragment were included as random factors, as per the recommended treatment of dependent units⁶⁵ and to account for repeated measures, respectively. Temperature and light were time-averaged in all instances to reflect the same interval as each coral response parameter. Models were compared using Akaike Information Criteria corrected to sample size (AICc) and AICc weight (ω) values. The model with the lowest AICc value was assumed to be the optimal model, and the ωAICc determined the relative contribution of each predictor metric (temperature, light, and time) such that the higher ωAICc corresponded to higher importance in the analysis. A Pearson's correlation matrix was used to investigate the relationships between coral response variables (calcification rates, calcifying fluid carbonate chemistry, $F_v/F_m$, net photosynthesis rates, and dark respiration rates) and treatment variables (temperature, light, and time). A one-way analysis of variance (ANOVA) was used to test for significant differences between treatment for $F_v/F_m$. Dark respiration rates were converted to a positive integer for ease of interpretation of statistical results. Gross photosynthesis rates were calculated by subtracting dark respiration from the net photosynthesis. Before conducting analyses, dependent variables were tested for normality (Shapiro-Wilk test) and for sphericity (Mauchly's test). In this study, significance is defined as $p < 0.05$. Statistical analyses were performed using the fitme function in MATLAB (The MathWorks, Natick, MA, USA) and Pearson correlations were performed in SPSS statistical software (IBM, Foster City, CA, USA).

**Reporting summary.** Further information on research design is available in the Nature Research Reporting Summary linked to this article.

## Data availability

Data is available at the Zenodo Digital Repository https://doi.org/10.5281/zenodo.6216201.

Received: 22 July 2020; Accepted: 16 February 2022; Published online: 30 March 2022

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## Acknowledgements

Thanks to J. D'Olivo and R. Berdin for assistance in the isotope and mass spectrometry laboratories. Thanks to F. McGregor for field assistance and to Murdoch University for access to accommodation and facilities at the Coral Bay Research Station. We are very grateful to volunteers (S. Bell, L. Dugal, S. Dawe, T. Bassett, L. Krzus, B. Moore, T. DeCarlo, and M. Jung) for assistance in the field and at the Waterman's Bay Indian Ocean Marine Research Facility. This research was supported by funding provided by an ARC Laureate Fellowship (LF120100049) awarded to M. McCulloch, the ARC Centre of Excellence for Coral Reef Studies (CE140100020), and an Australian Post Graduate Scholarship awarded to C. Ross.

## Author contributions

C.L.R.: conception and design, sample collection, laboratory experiments, data acquisition, data analysis and interpretation, wrote first original manuscript, manuscript revision; A.W.: conception and design, sample collection, laboratory experiments, data acquisition, data analysis and interpretation, manuscript revision; S.C.: conception and design, data acquisition, supervision, manuscript revision; C.E.C.: conception and design, data acquisition, supervision, manuscript revision; M.C.: sample collection, data analysis, manuscript revision; M.N.: laboratory experiments, data acquisition, manuscript revision; M.T.M.: conception and design, supervision, manuscript revision; V.S.: conception and design, laboratory experiments, data acquisition, supervision, manuscript revision.

## Competing interests

The authors declare no competing interests.

## Additional information

**Supplementary information** The online version contains supplementary material available at https://doi.org/10.1038/s43247-022-00396-8.

**Correspondence** and requests for materials should be addressed to Claire L. Ross.

**Peer review information** *Communications Earth & Environment* thanks the anonymous reviewers for their contribution to the peer review of this work. Primary Handling Editor: Heike Langenberg.

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