"The growth and subsidence of coral depends on a number of requirements: temperature, irradiance, calcium carbonate saturation, turbidity, sedimentation, salinity, pH and nutrients. These variables influence the physiological processes of photosynthesis and calcification as well as coral survival. Coral calcification rates and extension rates have been highly correlated with sea surface temperatures and to a lesser extent, incoming surface radiation."
"Coral growth can depend on both minimum and maximum seasonal temperatures. What is shown here is that, at least for Acropora branching corals, while growth can be approximated to a logarithmic function, particularly over several years growth, a rational polynomial function provides a more accurate model for growth."
"Over the period 2004-2007, involving several cycles of SST change, rate of growth of Acropora palmata is largely proportional to the change in SST. However, as temperatures approach those where bleaching can occur, i.e the maximum sustainable temperatures for coral growth, rates of growth can fall"
Crabbe, M.J.C (2007) Global warming and coral reefs: Modelling the effect of temperature on Acropora palmata colony growth. Computational biology anc chemistry. United Kingdom.
Oh and for those that don't know, SST's stand for Sea surface temperatures