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CAITLIN R. KEATING-BITONTI AND JONATHAN L. PAYNE
occurrences in the Culver and Buzas data set. Because the vast majority of morphological variation in foraminifera is among species not within species (Rego et al. 2012), we used these data to identify patterns in the biogeographic distribution of test size and shape. To calculate test volume and surface area, we assumed that the test roughly approximates a three- dimensional ellipsoid. Following Payne et al. (2012a), we calculated volume as 4/3 · π · a · b · c and surface area as 4 · π · [( a z · b z + a z · c z + b z · c z )/3]1/z,where a, b,and c represent the radii and z=
1.6075.Generalizing testmorphology as a three-dimensional ellipsoid is not an important source of error on the data set because our size data span more than five orders ofmagnitude in (log10-transformed) biovolume, whereas errors introduced by approximations of cell shape are unlikely to yield more than 0.3 log10 (hereafter “log”) units of uncertainty. In the extreme case of using the generalized ellipsoid equation to determine the volume of a cube, the resulting error is less than 0.3 log-units difference. Although the cytoplasm of the foraminifera might not occupy the entire test (Gerlach et al. 1985; Murray 1991), the dimensions of the test are the best approach for estimating cell volume and volume–to–surface area ratio because expanded cell protoplasm can completely fill all the chambers of the test (Hohenegger and Briguglio 2014). Several studies of foraminiferal
respiration rates estimate that the cell cytoplasm fills approximately 3/4 of the internal test volume (Hannah et al. 1994; Geslin et al. 2011), and the error introduced by using this estima- tion is less than 0.13 log
units.As this appears to be aconsistentsourceofbias with testsize overestimating cytoplasm volume, this effect is expressed by changes in the intercept of the regression equations rather than in the slope. Because our interest is in the slope of these relationships, this consistent bias across all measurements is likely to have an even smaller effect on our results.
Oceanographic Data We compiled data for four oceanographic
parameters that could affect organism morpho- logy through their effects on metabolic physiology. These parameterswere temperature,
dissolved oxygen concentration, the calcite saturation state of seawater, and POC flux to the seafloor. Because specific metabolic rate scales positively with temperature (Peters 1983; Gillooly et al. 2001), test volume is expected to correlate inversely with ambient temperature (DeLong et al. 2010). The vast majority of foraminiferal species are presumably primarily aerobes (e.g., Sen Gupta and Machain-Castillo 1993; Sen Gupta 1999; Heinz and Geslin 2012); thus, dissolved oxygen concentration in the ambient seawater can constrain overall size and the volume–to–surface area ratio of the cell. The flux of POC to the seafloor is an important nutrient resource for benthic life, and therefore the concentration of POC in the environment has the potential to limit the size of the foraminifer. Because Rotallid foraminifera use metabolic energy to secrete predominantly low-Mg calcite tests (Blackmon and Todd 1959; Sen Gupta 1999; Erez 2003; Armstrong and Brasier 2005) and produce the associated organicmatrix, the calcite saturation state of the ambient seawaterwould be expected to correlate positively with test volume (deNooijer et al. 2009). We compiled mean annual temperature
(Locarnini et al. 2010), dissolved oxygen concentration (Garcia et al. 2010), and salinity (Antonov et al. 2010) from the 2009 World Ocean Atlas for each locality by matching its unique latitude and longitude coordinates to the nearest environmental 1° grid point at the appropriate bathymetric depth; 1° is approxi- mately 111 km. Although these environmental data were compiled during the early 2000s and data included in the biogeographic data set extend back to the 1920s, the temporal variation in the environmental conditions at any site due to anthropogenic climate change is small compared to the total variation we observe across the 60° latitude and 1600m of water depth included here. The saturation state with respect to calcite is a function of the temperature and pressure of seawater and the dissolved inorganic carbon concentration (DIC), alkalinity, and salinity (Dickson 1990). We compiled mean annual values of seawater alkalinity and DIC from the Global Ocean Data Analysis Project (Key et al. 2004) and carbon dioxide in the Atlantic Ocean (CARINA Group 2009) data sets and matched foraminiferal
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