Mathematical Models of Selection and Interaction Among Populations

9981552科恩这项工作将发展选择和种群间相互作用的数学模型。项目将处理：（1）有利于合作或互利的条件，使用具有随机收益的有限博弈理论;（2）测量种群生物学中概率分布多样性的数学和统计方法，以及这些方法在人口学、生态学和种群遗传学数据中的应用;（3）结合食物网、体型和物种丰度的数据和模型，以深入了解生态群落的动态和稳定性;（4）人类和非人类人口的空间分布模式，以及这些模式与环境因素的联系。在每一个领域，模型将建议数据分析，而数据分析的结果将有助于形成进一步的model.This工作的目的是提供新的有用的概念，数学模型，在人口生物学的统计工具，以及新的经验总结和见解，从这里开发的工具的应用。这些见解可能有助于社会应对人类和非人类人口变化，生物和社会合作以及保护等问题。举一个例子，从专题（3）中，更好地从根本上了解生态群落的动态和稳定性将有助于社会防止不受欢迎的生物物种的不必要的排斥或入侵。

9981552CohenThis work will develop mathematical models of selection and interaction among populations. Projects will address: (1) conditions conducive to cooperation or mutualism, using the theory of finite games with random payoffs; (2) mathematical and statistical methods to measure the diversity of probability distributions in population biology, and applications of these methods to data in demography, ecology and population genetics; (3) the combination of data and models on food webs, body sizes and species abundances to give insight into the dynamics and stability of ecological communities; (4) patterns in the spatial distribution of populations, human and non-human, and the connection of these patterns with environmental factors. In each area, models will suggest data analyses while the results of the data analyses will help to shape further models.This work aims to provide new useful concepts, mathematical models, and statistical tools in population biology, as well as new empirical generalizations and insights from the application of the tools developed here. These insights may assist society in coping with problems of human and non-human population change, biological and social cooperation, and conservation. To give a single example, from topic (3), a better fundamental understanding of the dynamics and stability of ecological communities would assist societies in preventing undesirable extinctions or invasions by unwanted biological species.