Moment approximation of individual-based models. Application to the study of the spatial dynamics of phytoplankton populations

作者：

Highlights：

• We analyze the efficiency of a spatial moments model (SMM) in approximating an individual-based model (IBM).

• An IBM and its SMM are developed and simulated to study the spatial structure of a motile phytoplankton population.

• Individual-based modeling with neighborhood-dependent movement and cells’ division.

• The SMM is efficient to capture the dynamics of the IBM.

• In contrast to the IBM, the SMM easily permits the prediction of long term behavior of phytoplankton cells and their spatial structure.

摘要

•We analyze the efficiency of a spatial moments model (SMM) in approximating an individual-based model (IBM).•An IBM and its SMM are developed and simulated to study the spatial structure of a motile phytoplankton population.•Individual-based modeling with neighborhood-dependent movement and cells’ division.•The SMM is efficient to capture the dynamics of the IBM.•In contrast to the IBM, the SMM easily permits the prediction of long term behavior of phytoplankton cells and their spatial structure.

论文关键词：Phytoplankton aggregation,Population dynamics,Chemosensory capabilities,Individual-based model,Density-dependent division process,Spatial moment dynamics,Integro-differential equations system,Pair correlation function

论文评审过程：Received 7 April 2021, Revised 4 August 2021, Accepted 7 August 2021, Available online 25 August 2021, Version of Record 25 August 2021.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126594