Study sites and coral collection:
Colonies of P. acuta (n = 54) were collected between 0.5 m and 1 m depths from six locations (n = 9 colonies per location) that exhibited a gradient in nutrient loading and sedimentation rates along north shore fringing reefs in Mo'orea, French Polynesia, during the Austral winter of 2019. To ensure that all samples could be processed in the same photoperiod, we separated the six sites into three paired blocks so that thermal performance curve trials (which take ~12 h) could include 4 fragments from each paired site. The three paired site blocks were along the north shore fringing reef sites for sample collection (western: 17° 29' 33.684"S 149° 52' 6.852"W, 17° 29' 25.152"S 149° 51' 1.008"W, central: 17° 29' 4.632"S 149° 50' 23.064"W, 17° 29' 5.532"S , 149° 50' 43.872"W, eastern: 17°28'51.0"S, 149°48'17.8"W, 17° 28' 45.588"S 149° 47' 33.792"W).

P. acuta colonies were removed from the reef with a hammer and chisel on snorkel, placed in clean ziplock bags full of seawater and transported to the University of California, Berkeley Richard B. Gump South Pacific Research Station (UCB Gump Station) in a seawater filled cooler and immediately placed in flow-through seawater tables before being fragmented. Using a stainless-steel diagonal cutter, we cut each colony into four or five multi-branch fragments (7.8 cm × 7.8 cm), which were measured using calipers. Two of the designated fragments were used for light and dark respirometry trials. The other two fragments were used for endosymbiont and coral host response variables including chlorophyll a content, endosymbiont densities, endosymbiont % nitrogen (N) content, endosymbiont N content cell-1, tissue biomass, and coral tissue % N content. A fifth fragment was randomly selected from four colonies per location and used to determine saturating light conditions for the corals. The two fragments delegated for endosymbiont and coral host response variables (one for % tissue N and one for the remaining parameters) were immediately frozen at -20 °C until processing. The two fragments designated for photosynthesis, respiration, and calcification trials were affixed to pre-labeled acrylic coral plugs (Industry, CA, USA) using hot glue around the base of the coral skeleton while the fragment was submerged. After coral fragments were affixed, they were deployed in situ to recover from the fragmentation process at their origin reef site for 7 – 14 days. The coral plugs were placed in individual holes on a constructed acrylic sheet with an O-ring placed around the bottom of the plug for stabilization. Each acrylic plate had a cage surrounding it made of 2 cm wide Gutter Guard Mesh (Hallandale, FL, USA) to prevent corallivory. Coral samples were again collected around sunset, ~12 hours before each photosynthesis or dark respiration trial and held in an ambient seawater flow-through system at the UCB Gump Station. The coral samples designated for the dark respiration trials were kept in darkness by wrapping a thick black plastic bag around each tank for ~11 hours prior to measuring dark respiration, while the coral samples for photosynthesis trials were kept in natural light under a shade.

Sampling and analytical procedures:

Sedimentation rates
Sediment traps were deployed in triplicates for ~ 72 h at each of the six sites during the coral recovery period. Traps were constructed with six individual 6 cm diameter (D) x 30 cm height (H) PVC pipes (Storlazzi et al., 2011) that each had a 2 cm D x 4 cm H PVC pipe glued to its side. The smaller PVC pipe slid over an 8-inch long screw that was installed into a cement base. Sediment traps were recovered in situ by wrapping the opening of the PVC pipe with parafilm before removal from the reef. The sediment samples were brought back to the lab where the volume of the sediment sample was measured and filtered through a pre-weighed 1 μm pore size, 47 mm Whatman ® polycarbonate filter (Maidstone, United Kingdom). The filters were dried in an oven (Fisher Scientific Isotemp Oven, Waltham, MA, USA) at 80 °C for 24h. Each sample was weighed to the nearest 0.001 grams on an analytical balance to obtain dry mass and normalized to the open area of the trap (mg cm-2 day-1).

Algal tissue nitrogen sampling and water column nutrients
Macroalgal % tissue N content is an integrated measure of nutrient loading for each site. Percent tissue N content for Turbinaria ornata was calculated from replicate individuals (n = 3) per site at the same time the corals were collected for fragmentation. Samples were returned to the lab and approximately 1 g (wet mass) of tissue was removed (5 cm from a branch apex) from each individual, rinsed in freshwater (FW) where epiphytes were removed manually with forceps, and dried to constant weight at 80 °C. Dried samples were processed for CHN analysis by the means of high-temperature (1,000 °C) combustion following the Dumas method of samples in an oxygen-enriched helium atmosphere in an elemental analyzer (Control Equipment Corporation: Model CEC 440HA, North Chelmsford, MA, USA) at the University of California, Santa Barbara Marine Science Institutes (UCSB MSI) Analytical Lab. We also collected water column samples to characterize nutrient concentrations in the seawater at the time of collection. Two replicate water samples were collected from the benthos using 60 mL lip-lok tip syringes for dissolved inorganic nitrate (NO3-) + nitrite (NO2-), ammonium (NH4+), and phosphate (PO43-). The samples were filtered through a 0.7 µm GF/F (Whatman ®, Maidstone, United Kingdom) and the seawater samples were placed in a -20 °C freezer immediately upon returning to the UCB Gump Station for later analysis at the UCSB MSI Analytical Lab. Dissolved inorganic nutrients (PO43-, NO3- + NO2-, NH4+) were analyzed using flow injection (QuikChem 8500 Series 2, Lachat Instruments, Zellweger Analytics, Inc., Loveland, CO, USA) at the UCSB MSI Analytical Lab.

Temperature and light
Temperature, accuracy ± 0.21 °C from 0 °C to 50 °C, and light intensity, accuracy ±10% from 0 to 167,731 lux, were recorded in situ at all sites with HOBO loggers (Onset HOBO TidbiT v2 Temp Data Logger UTBI-001 and Onset HOBO Pendent Light Intensity Data Logger MX2202, Bourne, MA, USA, respectively) every 15 min during the 7-14 day recovery period. Light loggers were cable-tied to a small acrylic slate before deployment to ensure that the loggers were orientated at a 180-degree angle facing upward and would stay affixed during the experimental period. The light intensity data was converted from luminous flux (lux) to photon flux density (PFD) (commonly referred to as photosynthetically active radiation; PAR; µmol photons m–2 s–1) by using an exponential decay fit (PARLICOR = A1e(–HOBO/t1) + y0).

Algal endosymbiont densities
To quantify algal endosymbiont densities, repeated cell counts (n = 6 - 8) were conducted for aliquoted (1 mL) coral tissue slurry samples (n = 54) using an Improved Neubauer Haemocytometer (Marienfeld Superior, Lauda-Königshofen, Germany). The endosymbiont cell densities were then normalized to coral surface area (cells cm-2).

Chlorophyll a content
Duplicate 3 mL samples from the tissue slurry were centrifuged (3,450 rpm x 3 min.) (Fisher Scientific accuSpin™ 3R, Waltham, MA, USA) to isolate the algal pellet before 5 mL of 100% acetone was added to extract chlorophyll a at -20 °C for 36 h in the dark. The supernatant of the extract was measured spectrophotometrically (λ = 630, 663, and 750 nm) (Shimadzu UV-2450, Kyoto, Kyoto Prefecture, Japan) and concentrations of chlorophyll a were calculated using equations specified for dinoflagellates from Jeffrey and Humphrey (1975), after accounting for an acetone blank. The chlorophyll concentrations were then normalized to surface area (μg cm−2) and to endosymbiont cells (pg cell−1).

Tissue biomass
Triplicate 1mL aliquots from each coral tissue slurry were pipetted into pre-burned (450 °C for 5 h) aluminum pans in a muffle furnace (Fisher Scientific Isotemp Muffle Furnace, Waltham, MA, USA), placed in a drying oven (Fisher Scientific Isotemp Oven, Waltham, MA, USA) at 60 °C for > 24 h until they reached a constant weight, and then placed in the muffle furnace at 450 °C for 4-6 h to determine ash-free dry weight. The difference between the dried (60 °C) and burned (4-6 h at 450 °C) masses is the total biomass of the aliquoted tissue slurry and the tissue biomass was expressed as mg cm-2.

Coral and endosymbiont tissue N content
To calculate coral and endosymbiont tissue N content, a 7 mL aliquoted tissue slurry containing coral host tissue and endosymbionts from each coral fragment were filtered through a 20 μm nylon net filter (Wildco®, Yulee, FL, USA) (Maier et al., 2010) to remove skeletal carbonates from each sample. The remaining host tissue and endosymbiont cells were separated by centrifugation (3,450 rpm x 3 min.) (Fisher Scientific accuSpin™ 3R, Waltham, MA, USA) with 3-4 seawater rinses. Between each seawater rinse and centrifugation, microscopic inspections using a Leica Binocular Microscope (DM500, Feasterville, PA, USA) were completed to ensure separation efficiency between the coral tissue and endosymbionts. Tissues were filtered onto weighed pre-combusted 25 mm GF/F filters (Whatman ®, Maidstone, United Kingdom) (450 °C, 4h), dried overnight (80 °C), weighed, and placed in microcentrifuge tubes (Wall et al., 2018). Tissue N content for the coral hosts and algal endosymbionts were determined by the means of high-temperature (1,000 °C) combustion following Dumas method of samples in an oxygen-enriched helium atmosphere in an elemental analyzer (Control Equipment Corporation: Model CEC 440HA, North Chelmsford, MA, USA) at the UCSB MSI Analytical Lab. Algal endosymbiont % N content and coral tissue % N content were calculated by normalizing the N (mg) to the weight of the dry tissue mass (mg) on the filter and multiplied by 100. The N per algal endosymbiont cell (pg N cell-1) was also calculated.

Net photosynthesis and respiration
Replicate coral fragments from each colony were assigned to light (n = 48) or dark (n = 48) and underwent light net photosynthesis or dark respiration heat ramping experiments. For respirometry measurements, fragments were placed in 10 individual closed-system acrylic respiration chambers (650 ml) (Australian Institute of Marine Science, Townsville, Australia) with rotating stir bars (200 rpms) to measure net photosynthesis (NP) and Net Calcification (NC) in the light, and respiration was measured in the dark. Filtered seawater (pore size ~ 100 µm) was used for all experimental assays. Replicate seawater-only chambers were used as controls (n = 2) for background normalization during each trial (n = 6 light trials, n = 6 dark trials). Each of the heat ramping experiments began at approximately 06:30 (dark trials kept in complete darkness over experimental assays). Eight experimental coral fragments were moved from their ambient seawater flow-through tanks and randomly assigned to one of the 10 respirometry chambers. During each light ramp trial, the coral fragments were exposed to eight temperatures for 60 mins (20 C, 24 C, 28 C, 30 C, 31 C, 32 C, 35 C, 37 C) at saturating light. The dark respiration ramp trials were conducted at eight to twelve temperatures from 20 C to 40 C for 20 minutes. Preliminary data collected in January 2019 showed no difference between Rd calculated over 60 minutes versus 20 minutes at 9 different temperatures. Longer incubation periods were necessary in the light trials to detect a reliable difference in total alkalinity (TA) to calculate NC rates (Silbiger et al. 2019).

Temperature was controlled in an insulated reservoir using a thermostat system (Apex Controller, Neptune Systems, Morgan Hill, CA, USA) to maintain the assay temperature (±0.1 °C) with paired heaters (Finnex 800W Titanium Heater, Finnex 300W Titanium Heater, Burnaby, British Columbia, Canada) and chillers (Aqua Logic Delta Star, DS-4, San Diego, CA, USA). Once the seawater in the insulated reservoir reached a stable temperature, the respirometry chambers containing both the coral fragments and controls were added and measurements started immediately. NP and Rd rates were quantified through oxygen production/consumption measured by fiber optic oxygen sensors using the same methods described above. GP was calculated as NP plus the absolute value of Rd. After each incubation, we removed all coral tissue, dried the coral skeletons, and measured the surface area of each coral using the paraffin wax-dipping technique described above to normalize the rates (μmol cm-2 hr-1).

Net light calcification
NC was measured simultaneously during the light trials using the total alkalinity anomaly technique. Before the start of each assay temperature in the light trials, triplicate 125 mL water samples (n = 3) were collected from the temperature-controlled seawater designated to fill the chambers to provide the starting TA value. Following the 60-minute incubation period for each assay temperature, 125 mL water samples were collected from each coral (n = 8) and blank (n = 2) chamber. Conductivity and temperature measurements were taken for each individual water sample using a Thermo Scientific™ Orion Star™ A222 Conductivity Portable Meter (Waltham, MA, USA) and a Traceable® digital thermometer (Control Company 5-077-8, accuracy = 0.05 °C, resolution = 0.001 °C) (Webster, TX, USA). Within 30 minutes of collection, the water samples were preserved with 50 μL of 50% saturated mercuric chloride (HgCl2) in deionized water.

TA was measured using open cell potentiometric titrations following standard operating procedures (SOP 3b; Dickson et al. 2007) using an automatic titrator (Mettler-Toledo T50,Columbus, OH, USA) fitted with a InMotion Pro-sample carousel (Columbus, OH, USA). The titrator had a Mettler pH probe (DGi-115, Columbus, OH, USA) and was operated with certified HCl titrant (Batch #A17, Dickson Laboratory). Certified reference material (Dickson CRM Batch #180) was used to evaluate the accuracy of the TA measurements (SOP 3b; Dickson et al. 2007). A CRM was run before each sample set daily. The error was always less than 0.60% off from the certified value, and precision was <4 μEq. To calculate NC, we used Eqn 2:

NC = (ΔTA × V × σ)/(2 × t × SA)

where ΔTA (μmol kg-1) is the difference between the initial pre-incubation and post-incubation TA value, V (cm3) is the volume of water in the experimental aquaria (chambers), σ(g cm-3) is the density of seawater, t (h) is the incubation time, and SA (cm2) is the surface area of the corals samples determined by the paraffin wax-dipping technique (Stimson et al., 1991; Veal et al., 2010). ΔTA is divided by 2 because 1 mole of CaCO3 is produced for every 2 moles of TA and the values expressed as μmol cm-2 hr-1. NC (μmol cm-2 hr-1) was calculated by subtracting the seawater controls to account for changes in the alkalinity anomaly due to any calcifying organisms in the seawater.

Population Level Response:

Benthic community and P. acuta percent cover
To calculate percent cover of the benthic community and P. acuta at each site, 20 0.5 x 0.5 m quadrats divided into 25 equal squares (5 x 5 cm) were randomly placed (using a random number generator) along each of two 40 m transects that were laid parallel to shore starting at the coral recovery locations. The percent cover was visually estimated for P. acuta cover, total coral cover (23 genera) excluding P. acuta, total algal cover (macroalgae, turf, and fleshy algae), crustose coralline algae (CCA), and substrate (bare rock, rubble, sand, and/or bare space) in each quadrat with the limit of resolution being 4% change in cover. The same snorkeler measured percent cover at all six sites.

Known Problems/Issues:
Two fragments could not be used for coral and endosymbiont processing as the tissue slurries resulting from the airbrushing protocol were not reliable for aliquoting and inspection. They did not homogenize enough so the cell counts and chlorophyll readings were not reliable. Both fragments were not used in the final analyses.

nutrients_sediments.csv