Spatial dynamics in ecology

该研究项目将重点放在生态学空间动力学的定量模型上。这些领域包括(I)家栖活动的随机模型(Ii)北极熊在变化的冰层条件下的运动、身体状况和繁殖成功(Iii)海虱、养殖和野生三文鱼(Iv)波动环境下溪流和河流种群的模型以及(V)山松甲虫的动态、传播和控制。 新的动物运动模型将利用自适应动力学、首次通过时间、状态空间建模和偏微分方程组的理论来开发。这将为理解狼复杂的本场运动模式提供一个结构。动物运动建模方法也将应用于北极熊种群，因为它们正在适应加拿大北极不断变化的冰川条件。最终的目标是推断熊的身体状况和繁殖成功。这两个项目都将使用涉及卫星全球定位的大型数据集。将研究波动河流中的种群动态，重点是确定实际水流条件和控制种群动态的河流营养物质之间的相互作用。将应用于评估人为取水对艾伯塔省河流群落的生态影响。野生动物和家畜之间的疾病动态将在农业生产系统的背景下进行研究。应用将包括水产养殖中寄生虫的溢出和溢出效应。将对山松甲虫的时空动态和演化进行研究，以期提出适当的防治策略。 这项拟议的研究将在多个层面产生影响，产生数学生态学的新方法， 发展生态学新理论成果，为政策决策提供信息。

The research project will focus on quantitative models for spatial dynamics in ecology. Areas include (i) stochastic models for home range movements (ii) polar bear movement, body condition, and reproductive success under changing ice conditions (iii) sea lice and farmed and wild salmon (iv) models for stream and river populations under fluctuating environment and (v) dynamics, spread and control of mountain pine beetle. New animal movement models will be developed using the theory of adaptive dynamics, first passage time, state space modeling and partial differential equations. This will provide a structure for understanding complex home range movement patterns in wolves. The animal movement modelling approach will also be applied to polar bear populations as they adjust to changing ice conditions in the Canadian arctic. The eventual goal is to infer body condition and reproductive success in the bears. Both of these projects will use large data sets that involve satellite global positioning. The dynamics of populations in fluctuating rivers will be studied, with a focus on determining the interplay between physical flow conditions and river nutrients that govern population dynamics. Applications will be made to assessing the ecological impact of anthropogenic water removal on river communities in Alberta. The dynamics of disease between wildlife and domestic animals will be studied in the context agricultural production systems. Applications will include effects of spill-over and spill-back of parasites in aquaculture. The spatiotemporal dynamics and evolution of mountain pine beetle will be studies with a view to proposing appropriate control strategies. The proposed research will have impacts at several levels, producing new methods in mathematical ecology, developing new theoretical results in the ecology, and informing policy and decision making.