Spatial modeling in ecology as point pattern dynamics

2016 Fiscal Year Final Research Report

• Project/Area Number: 26440239
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Ecology/Environment
• Research Institution: Nara Women's University
• Principal Investigator: TAKASU Fugo 奈良女子大学, 自然科学系, 教授 (70263423)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Keywords: 基礎生物学 / 生態・環境 / 数理モデル

Outline of Final Research Achievements

I have revisited classical spatial population models described such as patch model, lattice model, reaction diffusion model in terms of "point pattern dynamics". These models have been implemented as stochastic point pattern dynamics. I have derived a set of deterministic dynamics of the 1st order (density of points) and the 2nd order (distribution of distances in pair made by two points) which are expected to describe simulations. Triplet density made by thee points appears in the dynamics. With a simple moment closure, the derived deterministic dynamics quite well describes stochastic simulation results, especially when birth and death of points are ignored. I have established the way how classical population dynamics (competition, prey-predator, epidemic models, etc.) can be translated to stochastic point pattern dynamics.

Free Research Field

数理生物学