Coral Bleaching: Translating Response Models Across Scales

该项目将评估人口和社区反应变量与热应力梯度之间的关系。它还将研究人口和生理反应变量之间的关系。由于热应力是加热强度和持续时间的函数，数学模型将以偏微分方程的形式更明确地发展。测量的因变量将表示为热应力强度和持续时间的函数，例如，使用度加热周作为自变量。将在人口和社区水平以及人口和生理水平上比较功能性反应。将进一步探讨自变量，并使用其他自变量重新检查相互关系，例如，有效度加热周，可能被认为是度加热周，水流状况和辐照度的整合。此外，该模型还将包括对涉及热应力情景的问题的评估，例如，有多少栖息地支持物种i，有多少物种在地点k得到支持。最后，该模型将预测未来的气候，作为回报，这些预测将使我们能够检查在不同气候情景下潜在的种群变化。该IGMS项目由MPS多学科活动办公室（OMA）和数学科学司（DMS）联合支持。

This project will assess relationships among population and community response variables and thermal stress gradients. It will also examine the relationship between population and physiological response variables. Since thermal stress is a function of intensity and duration of heating, the mathematical models will be developed more explicitly in terms of partial differential equations. The measured dependent variables will be expressed as a function of intensity and duration of thermal stress using for example, degree- heating weeks as independent variable. Functional response will be compared at the population and community levels, and at the population and physiology levels. The independent variable will be explored further, and cross correlations will be re-examined using other independent variables such as, effective degree-heating weeks which maybe considered as the integration of degree-heating weeks, water flow regimes and irradiance.In addition, the models will also include the assessment of questions involving thermal stress scenarios such as, how many habitats support species i, and how many species are supported at site k. Finally, the models will predict the future climates, in return, these predictions will allow us to examine potential population changes over time given different climatic scenarios.This IGMS project is jointly supported by the MPS Office of Multidisciplinary Activities (OMA) and the Division of Mathematical Sciences (DMS).