Mathematical Models of Dynamics and Evolution in Structured Populations

结构化群体动力学和进化的数学模型

• 批准号: 9019990
• 负责人: Shripad Tuljapurkar
• 金额: $ 7.96万
• 依托单位: Stanford University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-07-01 至 1993-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9019990&HistoricalAwards=false
• 关键词: Mathematical; Models; Dynamics; Evolution; Structured

The observed changes and evolution of natural populations are closely influenced by the life history of the organisms involved, and their responses to environmental change. Environments can drive temporal changes in the rates of vital events such as birth, death and growth. They can also result in resource limitations that reveal themselves in density-dependent population responses. This proposal aims to explore the consequences of both of these kinds of environmental effects for dynamics and evolution. One direction of study is the analysis of changing environments as they affect the rate at which organisms develop, and the distribution of reproduction over the lifespan of organisms, with special attention to repeated reproduction and developmental delays. This will be the first systematic analysis of the effect of environmental pattern on the evolution of complex life cycles, and will also explore the relationship between population growth and the components of the life cycle, when the environment is changing unpredictably over time. A second direction of study focuses on resource limitation and density effects in shaping the dynamics of population change; in particular, the ways in which such effects can drive cyclical change in population numbers and composition. These effects have been studied in experimental populations, and the theory will be applied to these data.

观察到的自然种群的变化和进化 受到生物体生活史的密切影响 参与其中，以及他们对环境变化的反应。 环境可以驱动生命周期的时间变化， 例如出生、死亡和成长。 它们还可能导致 资源的局限性，揭示了自己的密度依赖 人口反应。 本建议旨在探讨 这两种环境影响的后果， 动态和进化。 研究的一个方向是分析 环境的变化会影响 生物体的发展，以及生殖的分布， 生物体的寿命，特别注意重复 生殖和发育迟缓。 这将是第一 系统分析了环境格局对生态系统的影响， 复杂生命周期的演变，并将探讨 人口增长与人口构成的关系 生命周期，当环境发生不可预测的变化时， 随着时间 第二个研究方向集中在资源限制上 和密度对形成人口变化动态的影响; 特别是，这种影响如何推动周期性 人口数量和构成的变化。 这些影响 在实验人群中进行了研究，理论将是 应用于这些数据。