46
1 Short title: Coral optics and variable chlorophyll fluorescence 1 Corresponding authors: [email protected], [email protected] 2 3 Optical properties of corals distort variable chlorophyll fluorescence 4 measurements 5 6 Daniel Wangpraseurt 1,2,3a , Mads Lichtenberg 1 , Steven L Jacques 4 , Anthony WD Larkum 5 , 7 Michael Kühl 1,5a 8 9 1 Marine Biological Section, Department of Biology, University of Copenhagen, 10 Strandpromenaden 5, DK-3000 Helsingør, Denmark 11 2 Department of Chemistry, University of Cambridge, Lensfield Road, UK 12 3 Scripps Institution of Oceanography, University of California, San Diego, USA 13 4 Tufts University, USA 14 5 Climate Change Cluster, University of Technology Sydney, Ultimo, New South Wales 2007, 15 Australia. 16 a Corresponding authors 17 18 Author contributions: D.W., M.L., A.W.D.L., M.K. conceived and designed the experiments; 19 D.W., M.L. and A.W.D.L. performed experiments, D.W., S.L.J. and M.K. analysed and 20 interpreted data; D.W. and S.L.J. developed optical models. D.W. wrote the article with 21 contributions from all authors. 22 23 Funding: This study was supported by a Carlsberg Foundation distinguished postdoctoral 24 fellowship (D.W.), a Carlsberg Foundation instrument grant (M.K.), and a Sapere-Aude 25 Advanced grant from the Independent Research Fund Denmark ǀ Natural Sciences (M.K.). 26 27 One-sentence summary: Variable chlorophyll fluorescence is distorted by the optical properties 28 of corals as demonstrated by experimental studies on hydrogel slabs and optical simulations. 29 30 Plant Physiology Preview. Published on January 28, 2019, as DOI:10.1104/pp.18.01275 Copyright 2019 by the American Society of Plant Biologists www.plantphysiol.org on June 2, 2020 - Published by Downloaded from Copyright © 2019 American Society of Plant Biologists. All rights reserved.

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Page 1: Optical properties of corals distort variable chlorophyll ... · 5 96 actinic irradiance levels, rETR versus irradiance curves (i.e. light curves) can be determined, 97 which enables

1

Short title: Coral optics and variable chlorophyll fluorescence 1

Corresponding authors: [email protected], [email protected] 2

3

Optical properties of corals distort variable chlorophyll fluorescence 4

measurements 5

6

Daniel Wangpraseurt1,2,3a

, Mads Lichtenberg1, Steven L Jacques

4, Anthony WD Larkum

5, 7

Michael Kühl1,5a

8

9

1Marine Biological Section, Department of Biology, University of Copenhagen, 10

Strandpromenaden 5, DK-3000 Helsingør, Denmark 11

2Department of Chemistry, University of Cambridge, Lensfield Road, UK 12

3Scripps Institution of Oceanography, University of California, San Diego, USA 13

4Tufts University, USA 14

5Climate Change Cluster, University of Technology Sydney, Ultimo, New South Wales 2007, 15

Australia. 16

aCorresponding authors 17

18

Author contributions: D.W., M.L., A.W.D.L., M.K. conceived and designed the experiments; 19

D.W., M.L. and A.W.D.L. performed experiments, D.W., S.L.J. and M.K. analysed and 20

interpreted data; D.W. and S.L.J. developed optical models. D.W. wrote the article with 21

contributions from all authors. 22

23

Funding: This study was supported by a Carlsberg Foundation distinguished postdoctoral 24

fellowship (D.W.), a Carlsberg Foundation instrument grant (M.K.), and a Sapere-Aude 25

Advanced grant from the Independent Research Fund Denmark ǀ Natural Sciences (M.K.). 26

27

One-sentence summary: Variable chlorophyll fluorescence is distorted by the optical properties 28

of corals as demonstrated by experimental studies on hydrogel slabs and optical simulations. 29

30

Plant Physiology Preview. Published on January 28, 2019, as DOI:10.1104/pp.18.01275

Copyright 2019 by the American Society of Plant Biologists

www.plantphysiol.orgon June 2, 2020 - Published by Downloaded from Copyright © 2019 American Society of Plant Biologists. All rights reserved.

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31

ABSTRACT 32

Pulse amplitude modulated (PAM) fluorimetry is widely used in photobiological studies of 33

corals, as it rapidly provides numerous photosynthetic parameters to assess coral ecophysiology. 34

Coral optics studies have revealed the presence of light gradients in corals, which are strongly 35

affected by light scattering in coral tissue and skeleton. We investigated whether coral optics 36

affects variable chlorophyll fluorescence measurements and derived photosynthetic parameters 37

by developing planar hydrogel slabs with immobilized microalgae and with bulk optical 38

properties similar to those of different types of corals. Our results show that PAM-based 39

measurements of photosynthetic parameters differed substantially between hydrogels with 40

different degrees of light scattering but identical microalgal density, yielding deviations in 41

apparent maximal electron transport rates by a factor of 2. Furthermore, system settings such as 42

the measuring light intensity affected F0, Fm and Fv/Fm in hydrogels with identical light 43

absorption but different degrees of light scattering. Likewise, differences in microalgal density 44

affected variable chlorophyll fluorescence parameters, where higher algal densities led to greater 45

Fv/Fm values and relative electron transport rates. These results have important implications for 46

the use of variable chlorophyll fluorimetry in ecophysiological studies of coral stress and 47

photosynthesis, as well as other optically dense systems such as plant tissue and biofilms. 48

49

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INTRODUCTION 50

The ecological success of coral reefs is largely due to the successful symbiotic relationship 51

between the coral animal host and its photosymbiotic microalgae belonging to the genus 52

Symbiodinium. This highly efficient symbiotic interaction is susceptible to changes in 53

environmental conditions, such as excess solar radiation and above-average seawater 54

temperatures, which can lead to the breakdown of the coral-algal symbiosis and the visible 55

paling of the coral colony known as coral bleaching (Weis, 2008). Given the importance of 56

Symbiodinium photosynthesis for coral health, coral photosynthesis has been studied intensively 57

from molecular to environmental scales (Dubinsky and Falkowski, 2011; Falkowski et al., 1990). 58

Coral photosynthesis can be studied with techniques quantifying photosynthetic O2 production or 59

carbon fixation (Hoogenboom et al., 2012; Kühl et al., 1995; Osinga et al., 2012), but 60

photophysiological measurements based on variable chlorophyll (Chl) a fluorescence are now 61

widely used in coral research and many other areas of terrestrial and aquatic photosynthesis 62

research (Ralph and Gademann, 2005; Szabó et al., 2014; Warner et al., 1996; Warner et al., 63

2010). In contrast to gas exchange or C-fixation measurements that require significant sample 64

handling, variable chlorophyll fluorescence relies on optical light pulsing schemes that are 65

applied externally with minimal sample manipulation or directly in the natural habitat, and a 66

variety of commercial instruments for cuvette-based, fiber-optic or imaging measurements are 67

available (e.g. Schreiber, 2004). In coral reef science, pulse amplitude modulated (PAM) 68

chlorophyll a fluorimeters are by far the most commonly used instrument to probe 69

photosynthesis (Warner et al., 2010). 70

Variable chlorophyll fluorimetry quantifies the fate of absorbed light energy trapped by 71

the photosynthetic apparatus via changes in Chl a fluorescence, which tracks the redox status of 72

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photosystem (PS) II and the balance between photochemical and non-photochemical quenching 73

processes. PAM-based measurements employ the so-called saturation pulse method (Schreiber, 74

2004). The PAM technique generates multiple photochemical charge separations (multiple 75

turnover) and fully reduces QA via the application of 50–1000-ms multiple turnover flashlets 76

(‘fat flashes’) (see Kromkamp and Forster, 2003). The fluorescence yield prior to the saturation 77

pulse indicates the level of fluorescence when QA is maximally oxidized and PSII reaction 78

centres are fully open. Such minimum fluorescence yield is denoted as F0 and F, referring to 79

dark- and light-acclimated samples, respectively. The saturation pulse is assumed to lead to the 80

complete closure of PSII reaction centers, such that photochemical quenching is fully inhibited 81

(Schreiber et al., 1993). Consequently, fluorescence emission is maximal and this parameter is 82

known as the maximal fluorescence yield, where Fm and Fm’ refer to dark- and light-acclimated 83

samples, respectively (Schreiber, 2004). From these measurements, many derived parameters 84

describe the photophysiology of the investigated sample. 85

In coral reef science, the most frequently used fluorescence parameter is the maximum 86

PSII quantum yield, which is calculated from saturation pulse measurements on dark-acclimated 87

samples as follows: Fv/Fm = (Fm-F0)/Fm. The Fv/Fm parameter is considered a key proxy for coral 88

health, and differences in Fv/Fm between coral measurements are interpreted as a change in coral 89

fitness (Jones et al., 2000; Wiedenmann et al., 2013). The effective quantum yield of PSII, 90

ФPSII= (Fm’-F)/Fm’, is determined via a saturation pulse measurement under a known actinic 91

irradiance of photosynthetic active radiation (PAR) (Genty et al., 1989). An estimate of the 92

relative PSII-derived photosynthetic electron transport rate is calculated as rETR = ФPSII x PAR 93

(Ralph and Gademann, 2005), whereas determination of the absolute ETR requires information 94

about the PSII absorption cross section (Szabó et al., 2014). When calculated over a range of 95

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actinic irradiance levels, rETR versus irradiance curves (i.e. light curves) can be determined, 96

which enables the calculation of the maximum electron transport rate (ETRmax) and the light-use 97

efficiency factor (α), i.e., the initial slope of the rETR vs irradiance curve. Measurement 98

protocols for the application of PAM on corals are well-described (e.g. Warner et al. 2010), and 99

the maximum PSII quantum yield and rETR vs irradiance curve parameters are frequently used 100

to interpret the health and photo-physiological acclimation state of Symbiodinium within the 101

coral host (Ralph et al., 2005). 102

However, the application of variable chlorophyll fluorescence is based on the 103

assumptions that all photosynthetic entities (cells/chloroplasts) are (i) equally exposed to the 104

incident actinic light levels, (ii) equally exposed to the measuring light and emitting fluorescence 105

equally, and (iii) effectively saturated by the saturation pulse (Schreiber et al., 1996; Serôdio, 106

2004). In other words, it is assumed that (1) each photosynthetic cell has identical fluorescence 107

excitation/emission, and (2) the generated fluorescence from each cell has equal probability to be 108

detected by the fluorimeter. These assumptions are only met, if the light distribution within the 109

sample is homogenous, such as in optically dilute algal cultures (see e.g. Ting and Owens, 1992). 110

In contrast, most photosynthetic tissues exhibit strong scattering and absorption, leading to a 111

heterogenous distribution of irradiance within the sample (e.g., Evans, 2009; Evans et al., 2017; 112

Oguchi et al., 2011, Lichtenberg et al., 2017; Serôdio, 2004; Szabó et al., 2014). For instance, 113

steep light gradients exist in biofilms (Kuhl et al. 1994) which can lead to an effective 114

overestimation of ФPSII and ETR (Serôdio, 2004). Such gradients can also affect measurements 115

of the Chl a fluorescence kinetics (Susila et al., 2004). Re-absorption of fluorescence emission 116

can pose a challenge for Chl a fluorimetry in optically dense tissues (Naus et al., 1994; 117

Bartošková et al., 1999). A method for correcting variable fluorescence measurements in 118

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optically dense algal media under constant optical geometries (e.g. cuvettes) has been proposed 119

(Klughammer and Schreiber, 2015), but this approach assumes a simple exponential light 120

attenuation (Lambert-Beer’s law), which is too simplistic for light-scattering photosynthetic 121

tissues (Kuhl et al. 1994, Wangpraseurt et al. 2016). 122

Knowledge of the tissue inherent optical properties (IOPs) allows us to predict light 123

propagation by solving the radiative transfer equation. The IOPs are defined as the probability of 124

light absorption per infinitesimal path length (µa, [mm-1

]), the probability of light scattering per 125

infinitesimal path length (µs, [mm-1

]), the anisotropy of scattering (g) (i.e. the average cosine 126

⟨cos θ⟩ of the scattering angle θ), and the refractive index (n). In strongly light-scattering 127

samples, µs is combined with g to define the reduced scattering coefficient µs’ = µs · (1-g) 128

(Jacques et al. 2013). The reduced scattering coefficient describes photon diffusion in a random 129

walk of step sizes of 1/ µs’, where each step involves isotropic scattering. Recent progress in 130

coral optics (Swain et al., 2016; Wangpraseurt et al., 2016a; Wangpraseurt et al., 2014b) revealed 131

that coral tissues and skeletons can be strongly light-scattering and that µs’ is variable between 132

coral species. For instance, µs’ of coral skeletons can vary by one order of magnitude (Marcelino 133

et al., 2013), thus substantially affecting the amount of light that is backscattered into the 134

overlying algal layer (Marcelino et al., 2013; Wangpraseurt et al., 2016a). Thick-tissued corals 135

can have light-scattering host pigments (e.g. green fluorescent protein, GFP) situated on top of 136

the algal layer (Lyndby et al., 2016; Wangpraseurt et al., 2017b). In such a scenario, light is 137

effectively scattered before it reaches Symbiodinium cells, leading to a strong surface 138

enhancement of scalar irradiance, E0 (=fluence rate) (Lyndby et al., 2016). 139

The absorption coefficient (µa) of corals is largely dependent on Symbiodinium cell 140

density and Chl a content per cell (Wangpraseurt et al. 2016). Algal densities in corals vary 141

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seasonally (Chen et al., 2005) and in response to environmental stress (Glynn, 1996). 142

Symbiodinium density affects vertical light attenuation, where densely pigmented corals are 143

characterised by steep light gradients, while less-pigmented corals have a diffusely enhanced 144

tissue light environment (Wangpraseurt et al. 2017). The photosynthetic yield of Symbiodinium 145

can be vertically stratified within the coral tissue (Lichtenberg et al., 2016; Wangpraseurt et al., 146

2016b). During coral bleaching, microalgal symbionts experience photoinhibition (Warner et al., 147

1999) and such damage is likely more prominent in the light-exposed top layers of coral tissue 148

(Lichtenberg et al., 2016; Wangpraseurt et al., 2016b). Corals thus represent a challenging study 149

organism for variable Chl fluorimetry; yet, to our knowledge, no studies have aimed at ground 150

truthing the central assumptions of PAM measurements on corals. 151

The use of natural coral samples for such study would be easily contrived by variability 152

of the inherent optical properties of individual samples (e.g. changes in µa, µs’). To avoid this 153

variability, we developed optical analogues to corals using a biomedical tissue optics approach. 154

Optical phantoms are often created to solve problems related to the propagation of light in 155

scattering tissues, e. g., for calculating the light dose in photodynamic therapy and cancer 156

treatment (Pogue and Patterson, 2006). The optical response of human tissue is mimicked by 157

optical phantoms consisting of (1) a gel-like planar matrix (e.g. gelatin, agar or agarose), (2) 158

light-scattering particles (e.g. SiO2, TiO2, polystyrene microspheres) and (3) light absorbers (e.g. 159

intralipid, india ink) (Tuchin, 2007). 160

In this study, we created multiple planar hydrogel slabs to replicate the bulk optical 161

properties of corals and characterised their variable Chl fluorescence-derived parameters, 162

including Fv/Fm, Y(II) and rETR (Supplemental Table S1). Specifically, we examined the role of 163

light scattering by replicating three major coral categories: (1) corals with strongly 164

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backscattering skeletons (‘skeleton’ hydrogel), (2) corals with low-scattering skeletons 165

(‘transparent’ hydrogel) and (3) corals with light scattering in skeleton and tissue (e.g. due to 166

GFP host pigments) (‘GFP’ hydrogel). We also assessed the role of light absorption for Chl a 167

fluorimetry by creating hydrogels with different microalgal densities and PS II efficiencies. 168

Furthermore, we developed a light-propagation model (chlorophyll fluorescence Monte Carlo 169

simulation, Chf-MC) that allows for prediction of the generated fluorescence and detected 170

fluorescence as a function of tissue optical properties. Although we focused on the widely 171

applied PAM method, it is also relevant for other variable Chl fluorescence methods such as fast 172

repetition rate fluorimetry (Gorbunov et al., 2001). The optical phantom approach (Fig. 1) and 173

numerical models can easily be altered to address identical questions in other light-scattering 174

samples such as leaves and biofilms. 175

RESULTS 176

Effects of measuring light settings and light scattering on variable chlorophyll fluorescence 177

Hydrogels with identical absorber density but different light-scattering properties showed up to 178

5-fold differences in F0 for the same measuring light (ML) intensity (Fig. 2 a-d). Highest F0 179

values were achieved for the skeleton hydrogel (F0=0.162, Fig. 2 b,d). ML intensity also affected 180

measurements of the maximal fluorescence yield (Fm) and the calculation of Fv/Fm (Fig. 2 e-f). 181

For ML=3-4, Fv/Fm values were about 0.74 for all three coral-mimicking hydrogels, while for 182

ML=<3 and >5, Fv/Fm values differed by up to 0.1 (Fig. 2f). 183

The in vivo light microenvironment measured with fibre optic microsensors differed for 184

the three coral-mimicking hydrogels, and photon scalar irradiance (400–700 nm) at the hydrogel 185

surface reached 109% (±0.85 SE; n=8) of the downwelling photon irradiance, Ed (Supplemental 186

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Table S1) for the transparent hydrogel, 142% Ed (±9 SE; n=8) for the skeleton hydrogel, and 187

244% Ed (± 12.3 SE; n=8) for the GFP hydrogel (Fig. 3). The steepest light attenuation was 188

measured in the GFP hydrogel, and the lowest, in the transparent hydrogel (Fig. 3). The top layer 189

(0 µm to 750 µm) of the light-scattering GFP hydrogel (Fig. 1d) created a subsurface maximum 190

in scalar irradiance (at about 250 µm below the hydrogel surface); this was followed by rapid 191

light attenuation within the light-absorbing algal layer (750 µm to 1500 µm). For the skeleton 192

hydrogel, light attenuated to 125% Ed within the first 300 µm, after which light scattering by the 193

underlying layer caused a subsurface maximum around 700 µm from the hydrogel surface that 194

reached 170% Ed (Fig. 3). 195

Steady-state light curves revealed that the effective quantum yield of PSII (ФPSII) and the 196

derived relative electron transport rates (rETR) differed between the three coral-mimicking 197

hydrogels (Fig. 4a-d), where the shape of the curves depended on the light field parameter used 198

to quantify the actinic light level. When plotted as a function of downwelling photon irradiance 199

(Ed), the ФPSII was higher for the GFP hydrogel than for the skeleton and transparent hydrogel, 200

and this difference was larger for rETR calculations. For instance, at Ed =1000 µmol photons m-2

201

s-1

, rETR was about 1.5 times higher for the GFP vs the other two hydrogels (Fig. 4c). Correction 202

of ETR for in vivo scalar irradiance (E0) led to similar patterns between the GFP and skeleton 203

hydrogel, which now both showed higher rETRs than the transparent hydrogel (Fig. 4d). 204

Effects of light absorption on variable chlorophyll fluorescence 205

We constructed hydrogels with identical scattering properties but different light absorption 206

properties (Fig. 1j-m). Surface photon scalar irradiance (400–700 nm) in the hydrogel with 207

medium algal density (1.0 x 106 cells cm

-2) was about 1.4-fold higher than that in the hydrogel 208

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with high algal density (3.5 x 106 cells cm

-2) (205% Ed ±. 0.27 SE vs 146% Ed ±. 0.51 SE; n=4). 209

This difference increased as a function of vertical depth, and measurements at depths of >2000 210

µm showed up to 3-fold enhanced scalar irradiance values in the medium- vs high–algal-density 211

hydrogel (Fig. 5a). 212

Microalgal density had a significant effect on estimates of the maximum quantum yield, where 213

hydrogels with 3.5 x 106 cells cm

-2 showed about 0.04 units higher Fv/Fm values than hydrogels 214

with 1.0 x 106 cells cm

-2 (student’s t-test: t(6)=11.25, p<0.01, Fig. 5b). Likewise, microalgal 215

density affected rETR, and at Ed=500 µmol photons m-2

s-1

, rETR was about 2.7-fold higher for 216

the high vs medium algal density hydrogel (rETR= 41.1 ± 0.1 vs 14.7 ± 0.8; n=4) (Fig. 5c). 217

Additionally, rETR values were corrected for the in vivo scalar irradiance, as determined with 218

scalar irradiance microsensors for each respective photic zone (i.e. the hydrogel layer that 219

contained microalgal cells). Correction for in vivo scalar irradiance slightly improved this 220

discrepancy, but calculations of rETRmax and the light-use efficiency factor (α) were still about 221

1.35 (rETRmax=80 vs 59) and 2-fold higher (α=0.22 and 0.11) for high- vs medium–algal-density 222

hydrogels. 223

Effects of bio-optical properties and simulated coral bleaching on variable chlorophyll 224

fluorescence 225

Hydrogels mimicking a stressed but not bleached coral, i.e., harbouring a top layer with high 226

algal density but low photosynthetic potential, showed low rETR and onset of photoinhibition 227

(Fig. 6). However, hydrogels mimicking a partially bleached and stressed tissue, i.e., harbouring 228

a top layer with reduced microalgal density and photosynthetic potential, showed moderate rETR 229

with rETRmax = 38 (at Ed> 500 µmol photons m-2

s-1

) and no signs of photoinhibition (Fig. 6). 230

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DISCUSSION 231

Variable chlorophyll fluorimetry is a key tool for probing photosynthesis in vivo (Baker, 2008). 232

However, the assumptions underlying the calculation of variable chlorophyll fluorescence 233

parameters might not be fulfilled when measuring externally on highly stratified and dense 234

photosynthetic tissues, such as corals, biofilms and plant tissues (Evans, 2009; Serôdio, 2004; 235

Szabó et al., 2014). Our results showed that F0, Fm and Fv/Fm were affected by the scattering 236

properties of coral-mimicking hydrogels (Fig. 2). In a first approximation, we can describe the 237

detected F0 signal by using three simple terms: (1) the measuring light intensity incident on an 238

algal cell, i.e., fluorescence excitation, (2) the fluorescence emission per cell, which is governed 239

by the bio-physical properties of the cell, such as Chl a content and dark acclimation (Warner et 240

al., 2010), and (3) the probability that such emitted fluorescence is detected by the imaging 241

instrument (fluorescence escape) (see supplementary information). Because algal cells can 242

collect light from all directions, the excitation term is not described by the downwelling 243

irradiance of the measuring light, but by the scalar irradiance (=fluence rate) of measuring light 244

(Kühl et al., 1995), which in turn is affected by the tissue optical properties (Jacques, 2013) (see 245

optical simulations in supplementary information). In the first experiment (Fig. 1), we kept µa 246

constant while modulating µs’, which created characteristic differences in the light 247

microenvironment between three different coral tissue mimics (Fig. 3). The enhancement of 248

photon irradiance at the tissue surface of the skeleton hydrogel was due to the strong 249

backscattering (Fig. 3). In contrast, light attenuation was described by a simple exponential 250

attenuation for the transparent hydrogel (Fig. 3). 251

The observed differences in the F0 signal between the skeleton and transparent hydrogels 252

for a given measuring light intensity were due to two mechanisms (Fig. 7). Firstly, the fluence 253

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rate of the measuring light was enhanced in the absorbing layer (0–750 µm depth) for the 254

skeleton vs. the transparent hydrogel (Fig. 3). The higher fluence rate led to an increased chance 255

of photon absorption and thus higher levels of fluorescence generation (see optical simulations in 256

Supplemental Figure S2). Secondly, although an individual algal cell acts as an isotropic point 257

source (i.e. emitting fluorescence equally well in all directions) (Schreiber, 2004), the detected 258

fluorescence signal depends on the propagation of fluorescent light from this point source, 259

through the tissue towards the fluorimeter (Welch et al., 1997). Because intact corals are 260

typically monitored externally using a fiber or camera in backscattering configuration, the 261

reflectivity of the skeleton controls the upwelling fluorescence towards the detector. For the 262

transparent hydrogel, the downwelling fluorescence was essentially lost, while backscattering by 263

the skeleton hydrogel led to an effective redirection of the otherwise-lost downwelling 264

fluorescence (Fig. 7). 265

For the GFP hydrogel, the light-scattering elements were placed on top of the light-266

absorbing algal layer (Fig. 1). Scattering diffuses the incident light, and diffuse light penetrates 267

less into biological tissue than collimated light (Tuchin, 2007; Wangpraseurt and Kühl, 2014) 268

(Supplemental Figure S2). Thus, although intense scattering in the top tissue layer would 269

enhance the chance of fluorescence emission and subsequent upwelling of generated 270

fluorescence, it also leads to a steep attenuation of the measuring light within the algal layer 271

(Lyndby et al., 2016; Fig. 3, Supplemental Figure S2). The vertical attenuation of photon scalar 272

irradiance (400–700 nm) within the light-absorbing layer was described according to Lambert–273

Beer’s law for the transparent and GFP hydrogels, yielding an attenuation coefficient that was 274

1.4-fold higher for the GFP vs. transparent hydrogel (1.7 mm-1

and 1.2 mm-1

, respectively; data 275

not shown). Together, these results exemplify that the F0 signal can be strongly affected by the 276

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scattering properties of the photosynthetic tissue and the spatial arrangement of light-scattering 277

vs light-absorbing elements in the tissue. 278

Our results suggest that coral light-scattering modulated (i) the ability of the saturation 279

pulse to fully saturate PSII, (ii) the likelihood for actinic effects during ML probing, and (iii) the 280

operational volume that is probed during Fv/Fm measurements (Fig. 7). Fv/Fm values for the 281

skeleton hydrogel were more than 0.1 units (dimensionless) higher than for the transparent and 282

GFP hydrogels when probed with low ML intensities (Fig. 2). This likely indicates that skeleton 283

backscattering facilitated the full saturation of all photosynthetic cells within the tissue volume, 284

creating a homogenous light environment (Fig. 3) (Enriquez et al., 2005). In contrast, the steep 285

light gradient in the GFP hydrogels led to rapid attenuation of the saturation pulse light (Fig. 3), 286

leaving only about 50% of Ed in the lowest layers of the photic zone. In such a scenario, the 287

likelihood of incomplete PSII saturation increases with vertical tissue depth (Serôdio, 2004), thus 288

inducing lower Fm values for deeper tissue layers. Optical simulations using Chf-MC showed that 289

increased tissue scattering (from µs’=1 mm-1

to 10 mm-1

) reduced the tissue depth for which PSII 290

was fully saturated by >50% (for µa=0.1–1 mm-1

) (see supplementary information and 291

Supplemental Figure S4b). Chf-MC can serve as an initial point of reference for assessing the 292

likelihood of incomplete PSII saturation in the sample (Supplemental Figure S4b). Other 293

approaches, including the multiphase flash method, which uses ~1-s–long multiphase flashes to 294

saturate PSII, could provide additional instrument improvements that reduce the likelihood of 295

incorrect Fm’ estimates (Loriaux et al., 2013). 296

Optical scattering affected the ML intensity within the photosynthetic tissue and thus the 297

likelihood of ML inducing actinic effects (Supplemental Figure S5). The relationship between 298

measuring light used to probe for F and Fm can be nonlinear at higher light intensity settings, 299

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14

leading to a decrease in the Fm to F ratio and thus a reduction in Fv/Fm values (Ting and Owens, 300

1992). Such non-linearity is caused by instrument optics, and although this has been tested only 301

for the PAM 101 (Ting and Owens, 1992), it is likely that the same artefacts contributed to the 302

observed decrease in Fv/Fm for higher ML settings when using the I-PAM system (Fig. 2f). 303

Light scattering affected the operational volume of the PAM instrument, i.e. the 304

contribution of fluorescence from different vertical tissue depths to observed fluorescence from 305

the sample (Supplemental Figures S2, S4a). For samples containing photosynthetic cells with 306

variable intrinsic PS II efficiency, differences in the operational volume could lead to a complex 307

mixture of fluorescence signals from different tissue depths (Fig. 6). Such mixed fluorescence 308

signals could theoretically be decomposed by calculating the depth-specific contribution to 309

observed fluorescence using Chf-MC (supplementary information). However, it is a pre-requisite 310

that the intrinsic properties of PS II efficiency are known (Klughammer and Schreiber, 2015). 311

The effective quantum yield of PSII (ФPSII) and rETR differed between the three light-312

scattering coral mimics (Fig. 4), and the rETR of the GFP hydrogel was greater than that of the 313

skeleton and transparent hydrogels when calculated with Ed as a measure of actinic light (Fig. 314

4c). Using the average E0 within the photic zone as a measure of actinic light reduced the 315

difference in rETR between the GFP and skeleton hydrogels, and the two light curves were 316

identical for E0 <400 µmol photons m-2

s-1

. This suggests that for low actinic light levels, 317

measurements of the average in vivo scalar irradiance within the entire photic zone can, to some 318

extent, correct for rETR estimates from corals with different degrees of light scattering 319

(Marcelino et al., 2013). For higher actinic irradiance, such correction was not successful, and 320

rETR was greater for the GFP hydrogel than for the skeleton hydrogel (Fig. 4d). The 321

enhancement of rETR in the GFP scenario was likely due to the presence of the steep light 322

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gradient (Fig. 3), ensuring that the irradiance incident on lower cell layers enabled optimal 323

conditions for photosynthesis. 324

We found that both Fv/Fm and rETR were reduced for hydrogels with lower microalgal 325

cell density (Fig. 5b-d). Lower microalgal cell density decreased light absorption, which 326

enhanced the internal light microenvironment (Fig. 5a) and consequently lowered ФPSII. Given 327

that rETR is calculated by multiplying ФPSII with PAR, differences in the internal light 328

microenvironment can lead to substantial artefacts in the calculation of rETR (Fig. 4c). 329

Additionally, correct calculations of absolute ETR require knowledge of the absorption factor 330

(AF), which in itself is affected by optical scattering (Supplemental Figure S6; Szabo et al. 331

2014). 332

The Fv/Fm measurements were performed for hydrogels with different absorber densities 333

(at ML=2), which yielded the same F0 but higher Fm values for the hydrogel with enhanced 334

microalgal cell densities. Although the exact mechanisms underlying these differences are 335

unclear, these first measurements have important implications for coral science, given that 336

microalgal cell density is highly variable between coral species (Drew, 1972) and within a 337

species due to factors such as differences in light acclimation (Falkowski and Dubinsky, 1981), 338

seasonal fluctuations (Chen et al., 2005), and environmental stress (e.g. coral bleaching) (Weis, 339

2008). Bleached corals can exhibit an approximate doubling of the fluence rate within coral 340

tissues compared to healthy corals (Swain et al., 2016; Wangpraseurt et al., 2017a), and such 341

change in the internal light microenvironment was successfully mimicked with our hydrogels 342

with different absorber densities (Fig. 5a). Thus, differences in Fv/Fm and rETR between coral 343

individuals with different algal cell densities should be interpreted with caution and might, to 344

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some extent, reflect different optical properties as well as differences in photophysiological 345

status. 346

PAM-based measurements are often used to assess changes in photochemical efficiency 347

during coral bleaching (Jones et al., 2000; Rodriguez-Roman et al., 2006). During such 348

environmental stress, both the optical properties of the coral and ФPSII of the algal symbiont 349

undergo changes over time (Iglesias-Prieto et al., 1992; Wangpraseurt et al., 2017a). Cells from 350

top layers exposed to supra-optimal irradiance are likely to be stressed to a greater extent than 351

cells from deeper layers (Lichtenberg et al., 2016; Wangpraseurt et al., 2016b). We found that 352

changes in cell density and spatial differences in ФPSII lead to a misinterpretation of variable 353

fluorescence signals. For instance, hydrogels mimicking stressed corals by containing a top layer 354

with normal algal cell density but with reduced photochemical efficiency, showed much lower 355

rETR than hydrogels mimicking bleached corals (see Fig. 1 and Table 1 for hydrogel 356

configurations). The high density of the low-performing cells in the top hydrogel layer, limited 357

the operational volume in the stressed-coral scenario. In contrast, a reduction in the cell density 358

of top layers, enhanced the operational volume to measurements of well-performing lower cell 359

layers, effectively enhancing rETR (Fig. 6). 360

The present experimental study has shown that coral optical properties can contrive the 361

interpretation of PAM-based fluorescence measurements. The next step is to develop theoretical 362

models that predict the likelihood of optical artefacts in a sample and ideally correct for such 363

artefacts. We have taken first steps by developing a Chl a fluorescence Monte Carlo model (Chf-364

MC) for photosynthetic tissues that allows for predicting the likelihood of PSII saturation, the 365

actinic effects of ML, the operational volume and depth distribution of the collected fluorescence 366

(see supplementary information). The simulations can be adjusted to account for absorption of 367

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emitted fluorescence. The optical model is limited to a 1-layer system, which is best applicable 368

to structurally simple photosynthetic tissues. Future efforts should include the modelling of 369

chlorophyll a fluorescence in multiple tissue layers and in a 3D architecture (Fang, 2010). The 370

use of tissue phantoms with defined optical properties is a promising approach to examine and 371

qualify the precision of variable chlorophyll fluorimetry in plant tissues and biofilms. 372

Quantification of inherent optical parameters in photosynthetic tissues might furthermore lay the 373

experimental basis for better light-propagation models (Jacques, 1998; Mycek and Pogue, 2003; 374

Swartling et al., 2003), which will enable optimal measurement protocols and instrument 375

configurations. 376

METHODS 377

Experimental approach 378

Experiment 1 was aimed at understanding how differences in coral light scattering affect variable 379

chlorophyll fluorescence measurements in identical algal populations, i.e., same algal culture at 380

identical cell densities. Thick-tissued faviid corals often have light-scattering GFP granules on 381

top of the light-absorbing algal layer, which is also subject to light scattering from the coral 382

skeleton (Lyndby et al., 2016; Wangpraseurt et al., 2017b). The ‘GFP’ hydrogel consisted of a 3-383

layer system with a thin (750 µm) light-scattering upper layer (mimicking GFP scattering), a 384

light-absorbing layer (algae), and a thick light-scattering base layer (skeleton) (Fig. 1, Table 1). 385

However, not all corals follow this tissue arrangement, and other corals do not have light-386

scattering GFP granules. In thin-tissued corals, light scattering can be dominated by the 387

backscattering properties of the skeleton (Enriquez et al., 2005). To mimic this optical 388

configuration, the ‘skeleton hydrogel’ was prepared to be identical to the GFP hydrogel but 389

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without the top GFP layer. In the ‘transparent’ hydrogel, the light-scattering skeleton layer was 390

replaced with a 1% agarose gel layer (see schematics in Fig. 1). 391

In Experiment 2, we examined how changes in coral light absorption might affect 392

variable chlorophyll fluorescence measurements. In healthy corals, algal densities can vary 393

seasonally from approximately 1.5 to 6 x 106 cells cm

-2 (Chen et al., 2005). We therefore created 394

hydrogels with microalgal densities of 3.5 x 106 cells cm

-2 (‘high density’) and 10

6 cells cm

-2 395

(‘medium density’) (Fig. 1, Table 1). 396

Experiment 3 mimicked a coral stress scenario in order to explore systematically, how 397

combined changes in microalgal density and photophysiology affect variable chlorophyll 398

fluorescence measurements in corals. We mimicked a ‘stressed coral’, where top algal layers 399

have reduced photosynthetic quantum yields, while lower layers are operating with high yields. 400

For this, we created a light-absorbing algal layer with Nanochloropsis sp. (thickness = 750 µm, 401

algal density = 2 x 106 cells cm

-2) on top of a Rhodomonas salina layer (thickness = 750 µm, 402

algal density = 2 x 106 cells cm

-2), exhibiting a Fv/Fm = 0.7. The double layer was placed on top 403

of the light-scattering skeleton hydrogel. We also created a hydrogel mimicking a ‘stressed and 404

bleached coral’ by using a reduced density of Nanochloropsis (3 x 105 cells cm

-2) in the top layer 405

(Table 1). The ‘healthy coral’ consisted of two layers of Rhodomonas salina (each 750 µm thick 406

and with an algal density of 2 x 106 cells cm

-2) on top of the high-backscatter hydrogel. 407

Hydrogel fabrication 408

To develop a hydrogel with light-scattering properties similar to those of corals, we used a 409

protocol developed for human tissues (Wagnières et al., 1997), where hydrogels with tissue-like 410

properties for visible light were constructed with a reduced scattering coefficient of µs’= 1.5 – 411

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3.4 cm-1

between 400 to 450 nm (Wagnières et al., 1997). The reduced scattering coefficient of 412

coral skeletons is highly variable, with µs’ ranging between 3 and 140 cm-1

(Marcelino et al., 413

2013; Swain et al., 2016), and the optical properties of living coral tissue apparently exhibit a 414

similar variability (Wangpraseurt et al., 2016a). Given the variability in coral scattering, we did 415

not aim to quantify in detail the reduced scattering coefficient of our hydrogel, but rather to 416

develop a hydrogel that falls within the bulk part of light scattering observed in corals. 417

The developed hydrogels were composed of (1) a gel-like matrix, (2) light-scattering 418

particles, and (3) light-absorbing algae. We used a 1% agarose (Ultrapure low-melting-point 419

agarose; Thermo Scientific, Rochford, USA) solution in filtered (0.2 µm) seawater, which is 420

rather optically clear in the visible part (Wagnières et al., 1997). The agarose was prepared by 421

heating the agarose-seawater mixture in a microwave, ensuring that the solution was clear and 422

free of gas bubbles. The low agarose concentration ensured that the hydrogel was mechanically 423

similar to soft tissues such as coral tissue and exhibited gas diffusion properties similar to 424

seawater. Light scattering was achieved by mixing the hydrogel with defined concentrations of 425

silicon dioxide particles (size fraction: 99% between 0.5 – 10 µm and 80% between 1-5 µm, 426

Sigma Aldrich, USA) to achieve the desired scattering (see Table 1) (Wagnières et al., 1997). 427

Such silicon dioxide particles are non-toxic to microalgae and cyanobacteria (Dickson and Ely, 428

2013) and exhibit a good broadband scattering of white light at the chosen particle size 429

distribution (Wagnières et al., 1997). 430

After adding the silicon dioxide particles, the agarose solution was vortexed for about 30 431

seconds, ensuring a homogenous distribution of the light-scattering particles. The solution was 432

cooled down to about 30ºC, after which the microalgae were added at defined concentrations 433

(see Fig. 1). We selected two types of light-absorbing microalgae, Symbiodinium sp. and 434

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Rhodomonas salina. Preliminary experiments were performed with Symbiodinium sp., while the 435

main experiments were performed with Rhodomonas salina, which was similar in cell size (8–10 436

µm) and was easier to grow and maintain in a healthy state. For both algal species, PAM-437

relevant blue light absorption is dominated by Chl a along with additional contributions by Chl c 438

(Kaňa et al., 2013; Wangpraseurt et al., 2014). However, for the purpose of this study, the type of 439

algal strain is largely irrelevant, as we investigated the effect of basic light-scattering 440

mechanisms on variable Chl a fluorescence measurements. The solution of agarose, SiO2 and 441

microalgae was transferred rapidly into petri dishes (diam. 35 mm, height 10 mm), where they 442

were left to cure for at least 30 min. 443

Apparent optical properties of tissue hydrogels 444

The light microenvironment of coral mimics was measured in vivo using scalar irradiance 445

microsensors (Rickelt et al., 2016) as described in detail elsewhere (Kühl, 2005; Wangpraseurt et 446

al., 2012). Briefly, scalar irradiance probes were constructed with a spherical isotropic light-447

collecting tip of ~80 µm (Rickelt et al. 2016). The probe was mounted on a motorised 448

micromanipulator (PyroScience GmbH, Germany) controlled by a PC running dedicated 449

software (Profix; PyroScience GmbH, Germany) and oriented at an angle of ~45º relative to the 450

vertically incident light. Measurements of spectral scalar irradiance were performed from the 451

surface of the hydrogel in vertical step sizes of 80 µm. The spectral scalar irradiance was then 452

integrated over the spectral range of photosynthetically active radiation (PAR, 400–700 nm) and 453

expressed in percentage of the incident downwelling irradiance (Ed) (Kühl 2005). 454

Variable chlorophyll fluorescence imaging 455

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We used a variable chlorophyll fluorescence imaging system (Mini I-PAM, Walz, Effeltrich, 456

Germany) (Ralph et al., 2005; Kühl and Polerecky, 2008). The I-PAM was equipped with blue 457

LEDs (460 nm) and delivered a maximum saturation pulse intensity (SP =10) of >2700 µmol 458

photons m-2

s-1

. The ML intensity was calibrated for ML1-12 at frequency 1 using a fast data 459

logger (ULM 500, Walz GmbH, Germany) connected to cosine-corrected PAR sensor, yielding 460

an average photon irradiance output of 0.3, 0.4, 0.6, 0.8, 1, 1.2, 1.4, 1.6, 1.8, 2.1, 2.3, 2.6 µmol 461

photons m-2

s-1

. The I-PAM system was mounted on a heavy stand and the hydrogels 462

illuminated vertically from above. Initial measurements were performed to calibrate the focal 463

distance and aperture settings between the camera head and hydrogel samples, after which, focus 464

and aperture were fixed. All measurements were performed with the hydrogels within petri 465

dishes that were placed on top of a black light-absorbing surface. Measurements were performed 466

in a darkened room. 467

Measurements were performed with dark-acclimated samples (after about 30 min in 468

darkness) to examine differences in the background fluorescence between the ‘transparent, 469

‘skeleton’ and ‘GFP’ hydrogels. For each measurement, the PAM settings were fixed (measuring 470

light intensity, ML= 4, gain=1, damping=2, frequency=1). Measurements were also performed to 471

examine the effects of changes in measuring light intensity on F0, Fm and the calculated Fv/Fm. 472

Each sample was measured at a range of measuring light intensities (ML settings ranging 473

between 1 and 12), beginning with the lowest measuring light intensity setting. For each 474

measuring light intensity, a saturation pulse was applied for 720 ms (intensity setting =10, 475

yielding 2700 µmol photons m-2

s-1

), and a resting period of 1 min was used between saturation 476

pulses. 477

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We also examined the effects of light scattering on samples illuminated with defined 478

actinic irradiance levels, i.e., light-acclimated samples. Steady-state light curves of rETR versus 479

photon irradiance were measured over a range of actinic incident photon irradiances of PAR 480

(400–700 nm) ranging from 0 to about 1600 µmol photons m-2

s-1

. For each light curve, the 481

sample was dark-acclimated for about 15 min before a light curve was measured using an 482

exposure time of 5 min at each irradiance level. Prior to starting the steady-state light curves, the 483

measuring light intensity was adjusted such that F0 for the different coral mimics yielded 484

comparable values (i.e. F0=0.08). Likewise, measuring light intensity was adjusted such that 485

F0=0.08 for experiments 2 and 3 (Fig. 1). 486

Data analysis 487

The effective photosynthetic quantum yield of PSII was calculated as ФPSII= (Fm’-F)/Fm’ and 488

relative photosynthetic PSII electron transport rates were calculated as rETR = PAR x ФPSII 489

(Baker, 2008). Calculated rETR versus photon irradiance curves were fitted with an exponential 490

function (Webb et al., 1974) to estimate the maximal relative PSII electron transport rates 491

(rETRmax) and the light-use efficiency factor, α. Non-linear curve fitting was performed in Origin 492

(Origin Pro 9.3, USA) using a Levenberg-Marquart least squares fitting algorithm. 493

Optical simulations 494

A probability light distribution model was developed to calculate the depth-dependent generation 495

and escape of Chl fluorescence (Chf-MC). Details of the model and optical simulations can be 496

found in the supplementary information (Supplemental Text S1). 497

498

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Supplemental Data 499

500

Supplemental Text S1. Fluorescent Monte Carlo model to simulate the effect of changes in light 501

scattering and pigment density on calculations of the PSII maximum quantum yield. 502

Supplemental Figure S1. Schematic of photon energy flow in PAM-based variable chlorophyll 503

fluorescence measurements. 504

Supplemental Figure S2. Chlorophyll fluorescence Monte Carlo model simulating the 505

penetration of measuring light. 506

Supplemental Figure S3. Chlorophyll fluorescence Monte Carlo model investigating the effect 507

of re-absorption on observed fluorescence. 508

Supplemental Figure S4. Chlorophyll fluorescence Monte Carlo model calculating the 509

penetration depth of the generated fluorescence. 510

Supplemental Figure S5. Chlorophyll fluorescence Monte Carlo model calculating the % of 511

photosynthetic tissue overexposed by ML. 512

Supplemental Figure S6. 2-Layer Monte Carlo Simulation of light absorption by microalgal 513

cells for the skeleton hydrogel showing the effect skeletal backscattering on the tissue absorption 514

factor. 515

Supplemental Table S1. Abbreviations 516

517

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Supplemental Text S1. Fluorescent Monte Carlo model to simulate the effect of changes in light 518

scattering and pigment density on calculations of the PSII maximum quantum yield (Fv/Fm). 519

Supplemental Figure S1. Schematic of photon energy flow in PAM-based variable chlorophyll 520

fluorescence measurements. 521

Supplemental Figure S2. Chlorophyll fluorescence Monte Carlo model (chf-MC) simulating the 522

penetration of measuring light MLd (675 nm) in J mm-2

(A), the depth-dependent F0 generation [J 523

mm-2

](B), the depth-dependent escape of generated fluorescence Fesc(700 nm) [dimensionless] 524

(C), and the observed fluorescence Fobs [J mm-2

](D). 525

Supplemental Figure S3. Chlorophyll fluorescence Monte Carlo model (chf-MC) investigating 526

the effect of re-absorption on observed fluorescence. The penetration of measuring light MLd 527

(675 nm) in J mm-2

(A), the depth-dependent F0 generation [J mm-2

] (B), the depth-dependent 528

escape of generated fluorescence (700nm) [dimensionless] (C) and the observed fluorescence 529

(D). The absorption coefficient at 675 nm was µa=0.15 mm-1

and the reduced scattering 530

coefficient was µs’= 1 mm-1

. The absorption coefficient of the re-emitted fluorescence was varied 531

between µa=0.05 mm-1

(red), 0.03 mm-1

(black), 0.01 mm-1

(green) and 0 mm-1

(blue). 532

Supplemental Figure S4. Chlorophyll fluorescence Monte Carlo model (chf-MC) calculating 533

the penetration depth, i.e., the depth over which at least 90% of the generated fluorescence 534

originates from (a), and the saturation depth, i.e., the depth for which all photosynthetic cells are 535

saturated by a saturation pulse of 2800 µmol photons m-2

s-1

, assuming a saturation threshold of 536

1500 µmol photons m-2

s-1

(b). The dependency on the reduced scattering coefficient µs’ and µa is 537

modeled using chf-MC. 538

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Supplemental Figure S5. Chlorophyll fluorescence Monte Carlo model (chf-MC) calculating 539

the % of photosynthetic tissue overexposed by ML, for standard setting of the measuring light of 540

ML=3 (A), ML=4 (B) and ML=5 (C). A threshold for overexposure is assumed (0.5 µmol 541

photons m-2

s-1

). 542

Supplemental Figure S6. 2-Layer Monte Carlo Simulation of light absorption by microalgal 543

cells for the skeleton hydrogel showing the effect skeletal backscattering on the tissue absorption 544

factor. 545

Supplemental Table S1. Abbreviations 546

547

548

Acknowledgements 549

This study was supported by a Sapere-Aude Advanced grant from the Independent Research 550

Fund Denmark ǀ Natural Sciences (MK), and by the Carlsberg Foundation via a distinguished 551

postdoctoral scholarship grant (DW), and an instrument grant (MK). We thank Sofie Jakobsen 552

for excellent technical assistance, and Lars Rickelt for manufacturing scalar irradiance 553

microprobes. 554

555

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Table 1. Material properties of coral tissue–mimicking hydrogels. The algal species was 556

Rhodomonas salina unless indicated otherwise. 557

Experiment Hydrogel Top layer Mid layer Base layer

Coral

scattering

GFP matrix ASW+ 1% agarose ASW+ 1% agarose ASW+ 1% agarose

SiO2 4% / 5%

algae / 2.5 x 106 cells cm-2 /

thickness 0.75 mm 0.75 mm 2.5 mm

Skeleton matrix / ASW+ 1% agarose ASW+ 1% agarose

SiO2 / / 15%

algae / 2.5 x 106 cells cm-2 /

thickness / 0.75 mm 2.5 mm

Transparent matrix ASW+ 1% agarose ASW+ 1% agarose

SiO2 / / /

algae / 2.5 x 106 cells cm-2 /

thickness / 0.75 mm 2.5 mm

Coral absorption High matrix / ASW+ 1% agarose ASW+ 1% agarose

SiO2 / 1% 5%

algae / 3.5 x 106 cells cm-2 /

thickness / 0.75 mm 2.5 mm

Medium matrix / ASW+ 1% agarose ASW+ 1% agarose

SiO2 / 1% 5%

algae / 1 x 106 cells cm-2 /

thickness / 0.75 mm 2.5 mm

Coral stress Stressed matrix ASW+ 1% agarose ASW+ 1% agarose ASW+ 1% agarose

SiO2 / / 5%

algae 2 x 106 cells cm-2

(N. oculata)

2 x 106 cells cm-2

/

thickness 0.75 mm 0.75 mm 2.5 mm

Stressed and

bleached

matrix ASW+ 1% agarose ASW+ 1% agarose ASW+ 1% agarose

SiO2 / / 5%

algae 0.3 x 106 cells cm-2

(N. oculata)

2 x 106 cells cm-2

/

thickness 0.75 mm 0.75 mm 2.5 mm

Healthy matrix ASW+ 1% agarose ASW+ 1% agarose ASW+ 1% agarose

SiO2 / / 5%

algae 2 x 106 cells cm-2

2 x 106 cells cm-2

/

thickness 0.75 mm 0.75 mm 2.5 mm

558

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Figure Legends 559

Figure 1: Coral tissue organisation and artificial tissue design. a-c) Basic organisation of 560

scleractinic corals. a) Small fragment of a faviid coral (scale bar = 1 mm). b) close-up of the 561

cross-section, revealing the white coral skeleton, the brown algal layer on top of the skeleton, 562

and the green fluorescent protein like-pigment granules (GFP) on the coral tissue surface (scale 563 bar = 1mm). c) close-up of GFP granules (scale bar = 200 µm). d-i) Coral tissue mimicking 564

hydrogels. Schematics of 3-layer ‘GFP’ (d), 2-layer ‘skeleton’ (e), and 2-layer ‘transparent’(f) 565

designs. g-i) Respective photographs of thin cross sections of hydrogels. j-m) Hydrogels for 566

investigating the effect of changes in coral absorption. j-k) High microalgal density tissue design 567

(j) and top view photograph (k). l-m) Medium microalgal density hydrogel (l) and top view 568

photograph (m). n-p) Hydrogels for investigating the effect of coral stress. n) ‘Healthy’ coral 569

design with 2 layers of Rhodomonas sp., o) ‘Stressed’ coral design with 1 layer of 570

Nanochloropsis sp. on top of 1 layer of Rhodomonas sp., p) ‘Bleaching’ design with 1 layer of 571

Nanochloropsis sp. of a reduced cell density on top of Rhodomonas salina. 572

Figure 2. Effect of light scattering on variable chlorophyll fluorescence parameters of dark 573 acclimated coral tissue mimicking hydrogels. (a-c) Example images of minimal fluorescence 574

yields (F0) for measuring light intensity = 4, showing GFP (a), skeleton (b) and transparent (c) 575

hydrogels. The white circle shows the area over which F0 was integrated. Effect of measuring 576

light intensity on F0, (d), Fm, maximal fluorescence yield (e), and the maximum PSII quantum 577 yield, Fv/Fm (f). Note that no measurements are shown at ML>4 (=0.8 µmol photons m

-2 s

-1) and 578

ML>8 (= 1.6 µmol photons m-2

s-1

) for skeleton and transparent hydrogels, respectively due to 579

indications of actinic effects in these hydrogels at higher measuring light levels. 580

Figure 3. In vivo light microenvironment in coral tissue mimicking hydrogels with different 581 scattering properties. Photon scalar irradiance of PAR (400-700 nm) was normalised to the 582 incident downwelling irradiance of PAR and plotted against the vertical depth (µm) of the coral 583

mimics. The algal layer is distributed between depth = 0 µm to 750 µm for the transparent (red) 584

and skeleton (blue) mimic, while the algal layer is between 750-1500 µm in the GFP (green) 585

mimic. Four replicate gels were measured at 2 random spots (total n=8 ± SE). 586

Figure 4. Effect of light scattering on the effective quantum yield ФPSII (a-b) and relative 587

electron transport rates (rETR) (c-d) of coral tissue mimicking hydrogels. Measured ФPSII 588

and calculated rETR were plotted as a function of the incident downwelling irradiance (Ed) (a,c) 589

and with the corrected in vivo scalar irradiance (E0) (b,d). Symbols with error bars represent 590

means ± SE (n=5 biological replicates). 591

Figure 5. Effect of coral light absorption on the light microenvironment and variable 592

chlorophyll fluorescence measurements. Photon scalar irradiance (400-700 nm) was 593

normalised to the incident downwelling irradiance (Ed) and plotted against the vertical depth 594

(µm) in the coral mimics. The algal layer is distributed between 0-750 µm depth (a). The 595

maximum quantum yield of PSII, Fv/Fm (b). Relative electron transport rates (rETR) calculated 596

as a function of the incident downwelling irradiance (Ed) (c) and corrected for in vivo scalar 597

irradiance (E0) (d). All measurements were performed in coral hydrogels mimicking high algal 598

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28

density (3.5 x 106 cells cm

-2) and medium algal density (1.0 x 10

6 cells cm

-2). Symbols represent 599

means ± SE (n=4 biological replicates) in panel a-c. The curve fit shown in panel d was the best 600

fit to the experimental data (R2= 0.98 and 0.80) yielding values of ETRmax= 80 and 59, and 601

α=0.22 and 0.11 for the high and medium algal density coral hydrogels, respectively. 602

Figure 6. Combined effects of bio-optical properties and simulated coral bleaching on 603

measured relative electron transport rates (rETR). Hydrogels mimicking healthy tissue 604

contained two dense layers of R. salina (4 x 106 cells cm

-2), hydrogels mimicking stressed tissue 605

contained one dense layer of N. oculata (2 x 106 cells cm

-2) and one dense layer of R. salina (2 x 606

106 cells cm

-2), and hydrogels mimicking bleached tissue contained one layer of N. oculuata at 607

low density (0.3 x 106 cells cm

-2) and one dense layer of R. salina. Data are means ± SE (n=2-3 608

hydrogel replicates). 609

Figure 7. Propagation of PAM-based measuring light in biological tissues with different 610

scattering coefficients. a-b) Excitation (blue) and chlorophyll fluorescence (red) for transparent 611

hydrogel (a) and skeleton hydrogel (b). The optical properties of the light absorbing top layer 612

(layer 1) are constant (i.e. identical algal density and bio physical properties of an algal cell) for 613

both gels, but layer 2 is either transparent or light scattering. For the transparent hydrogel, 614

measuring light absorption by an algal cell (s) is a function of the primary incident beam (solid 615

blue line), while indirect light (dotted blue lines) is lost through the transparent layer. For the 616

skeleton hydrogel, indirect light is redirected via backscattering by layer 2. Such scattering 617

enhances the chance of measuring light absorption and thus leads to greater fluorescence 618

emission (bold red arrows). Fluorescence emission is an isotropic process but the propagation of 619

fluorescent light is affected by tissue optical properties. For the transparent hydrogel, only 620

primary upwelling fluorescence (Fu1) contributes to the detected fluorescence signal, while for 621

the skeleton hydrogel the downwelling fluorescence (Fd) is redirected and adds to the upwelling 622

fluorescence (Fu2). c) A steep light gradient (green line) leads to an underrepresentation of 623

fluorescence detection from lower cell layers compared to a homogenous light environment 624

(black line), given that the operational volume (dotted lines) from which fluorescence is 625

collected is a function of the theoretical instrument detection limit (Elimit) which is modulated by 626

the in vivo photon scalar irradiance. 627

628

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Figure 1: Coral tissue organisation and artificial tissue design. a-c) Basic organisation of

scleractinic corals. a) Small fragment of a faviid coral (scale bar = 1 mm). b) close-up of the

cross-section, revealing the white coral skeleton, the brown algal layer on top of the skeleton,

and the green fluorescent protein like-pigment granules (GFP) on the coral tissue surface (scale bar = 1mm). c) close-up of GFP granules (scale bar = 200 µm). d-i) Coral tissue mimicking

hydrogels. Schematics of 3-layer ‘GFP’ (d), 2-layer ‘skeleton’ (e), and 2-layer ‘transparent’(f)

designs. g-i) Respective photographs of thin cross sections of hydrogels. j-m) Hydrogels for

investigating the effect of changes in coral absorption. j-k) High microalgal density tissue design

(j) and top view photograph (k). l-m) Medium microalgal density hydrogel (l) and top view

photograph (m). n-p) Hydrogels for investigating the effect of coral stress. n) ‘Healthy’ coral

design with 2 layers of Rhodomonas sp., o) ‘Stressed’ coral design with 1 layer of

Nanochloropsis sp. on top of 1 layer of Rhodomonas sp., p) ‘Bleaching’ design with 1 layer of

Nanochloropsis sp. of a reduced cell density on top of Rhodomonas salina.

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Figure 2. Effect of light scattering on variable chlorophyll fluorescence parameters of dark

acclimated coral tissue mimicking hydrogels. (a-c) Example images of minimal fluorescence

yields (F0) for measuring light intensity = 4, showing GFP (a), skeleton (b) and transparent (c)

hydrogels. The white circle shows the area over which F0 was integrated. Effect of measuring

light intensity on F0, (d), Fm, maximal fluorescence yield (e), and the maximum PSII quantum yield, Fv/Fm (f). Note that no measurements are shown at ML>4 (=0.8 µmol photons m

-2 s

-1) and

ML>8 (= 1.6 µmol photons m-2

s-1

) for skeleton and transparent hydrogels, respectively due to

indications of actinic effects in these hydrogels at higher measuring light levels.

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Figure 3. In vivo light microenvironment in coral tissue mimicking hydrogels with different

scattering properties. Photon scalar irradiance of PAR (400-700 nm) was normalised to the incident downwelling irradiance of PAR and plotted against the vertical depth (µm) of the coral

mimics. The algal layer is distributed between depth = 0 µm to 750 µm for the transparent (red)

and skeleton (blue) mimic, while the algal layer is between 750-1500 µm in the GFP (green)

mimic. Four replicate gels were measured at 2 random spots (total n=8 ± SE).

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Figure 4. Effect of light scattering on the effective quantum yield ФPSII (a-b) and relative electron transport rates (rETR) (c-d) of coral tissue mimicking hydrogels. Measured ФPSII and calculated rETR were plotted as a function of the incident downwelling irradiance (Ed) (a,c) and with the corrected in vivo scalar irradiance (E0) (b,d). Symbols with error bars represent means ± SE (n=5 biological replicates).

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Figure 5. Effect of coral light absorption on the light microenvironment and variable

chlorophyll fluorescence measurements. Photon scalar irradiance (400-700 nm) was

normalised to the incident downwelling irradiance (Ed) and plotted against the vertical depth

(µm) in the coral mimics. The algal layer is distributed between 0-750 µm depth (a). The

maximum quantum yield of PSII, Fv/Fm (b). Relative electron transport rates (rETR) calculated

as a function of the incident downwelling irradiance (Ed) (c) and corrected for in vivo scalar

irradiance (E0) (d). All measurements were performed in coral hydrogels mimicking high algal

density (3.5 x 106 cells cm

-2) and medium algal density (1.0 x 10

6 cells cm

-2). Symbols represent

means ± SE (n=4 biological replicates) in panel a-c. The curve fit shown in panel d was the best

fit to the experimental data (R2= 0.98 and 0.80) yielding values of ETRmax= 80 and 59, and

α=0.22 and 0.11 for the high and medium algal density coral hydrogels, respectively.

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Figure 6. Combined effects of bio-optical properties and simulated coral bleaching on

measured relative electron transport rates (rETR). Hydrogels mimicking healthy tissue

contained two dense layers of R. salina (4 x 106 cells cm

-2), hydrogels mimicking stressed tissue

contained one dense layer of N. oculata (2 x 106 cells cm

-2) and one dense layer of R. salina (2 x

106 cells cm

-2), and hydrogels mimicking bleached tissue contained one layer of N. oculuata at

low density (0.3 x 106 cells cm

-2) and one dense layer of R. salina. Data are means ± SE (n=2-3

hydrogel replicates).

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Figure 7. Propagation of PAM-based measuring light in biological tissues with different

scattering coefficients. a-b) Excitation (blue) and chlorophyll fluorescence (red) for transparent

hydrogel (a) and skeleton hydrogel (b). The optical properties of the light absorbing top layer

(layer 1) are constant (i.e. identical algal density and bio physical properties of an algal cell) for

both gels, but layer 2 is either transparent or light scattering. For the transparent hydrogel,

measuring light absorption by an algal cell (s) is a function of the primary incident beam (solid

blue line), while indirect light (dotted blue lines) is lost through the transparent layer. For the

skeleton hydrogel, indirect light is redirected via backscattering by layer 2. Such scattering

enhances the chance of measuring light absorption and thus leads to greater fluorescence

emission (bold red arrows). Fluorescence emission is an isotropic process but the propagation of

fluorescent light is affected by tissue optical properties. For the transparent hydrogel, only

primary upwelling fluorescence (Fu1) contributes to the detected fluorescence signal, while for

the skeleton hydrogel the downwelling fluorescence (Fd) is redirected and adds to the upwelling

fluorescence (Fu2). c) A steep light gradient (green line) leads to an underrepresentation of

fluorescence detection from lower cell layers compared to a homogenous light environment

(black line), given that the operational volume (dotted lines) from which fluorescence is

collected is a function of the theoretical instrument detection limit (Elimit) which is modulated by

the in vivo photon scalar irradiance.

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