Speaker (报告人): Fugo Takasu, Nara Women's University, Japan
Time (时间): 2017-12-22 (星期五) 9:30-10:30
Place (地点): 维格堂 113
Abstract (摘要): In this course, I present various approaches to model spatial population dynamics in ecology. Mathematical models of population dynamics describe how population size in focus changes with time. These are usually given as ordinary differential equations in continuous time or difference equations in discrete time that are mathematically tractable to a certain degree. These "non-spatial" models can be extended to be "spatial" where spatial distributions of populations are explicitly considered, e.g., lattice models in discrete space or reaction diffusion models in continuous space. Apart from these analytical approaches, spatial population dynamics can be algorithmically or computationally described as an individual-based model as a point pattern dynamics where a point as an individual is newly generated by birth from a parent, or deleted by death, or shifted by movement in continuous space. I present a general way to implement a point pattern dynamics as a simulation model. I discuss how analytical and algorithmic models are relevant to each other.