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来源类型 | Article |
规范类型 | 其他 |
DOI | 10.1016/j.jtbi.2004.04.013 |
On moment closures for population dynamics in continuous space. | |
Murrell DJ; Dieckmann U; Law R | |
发表日期 | 2004 |
出处 | Journal of Theoretical Biology 229 (3): 421-432 |
出版年 | 2004 |
语种 | 英语 |
摘要 | A first-order moment closure, the mean-field assumption that organisms encounter one another in proportion to their spatial average densities, lies at the heart of much theoretical ecology. This assumption ignores all spatial information and, at the very least, needs to be replaced by a second-order closure to gain understanding of ecological dynamics in spatially structured populations. We describe a number of conditions that a second-order closure should satisfy and use these conditions to evaluate some closures currently available in the literature. Two conditions are particularly helpful in discriminating among the alternatives: that the closure should be positive, and that the dynamics should be unaltered when identical individuals are given different labels. On this basis, a class of closures we refer to as 'power-2' turns out to provide a good compromise between positivity and dynamical invariance under relabelling. |
主题 | Adaptive Dynamics Network (ADN) |
关键词 | Moment closure Population dynamics Spatial |
URL | http://pure.iiasa.ac.at/id/eprint/7153/ |
来源智库 | International Institute for Applied Systems Analysis (Austria) |
引用统计 | |
资源类型 | 智库出版物 |
条目标识符 | http://119.78.100.153/handle/2XGU8XDN/128377 |
推荐引用方式 GB/T 7714 | Murrell DJ,Dieckmann U,Law R. On moment closures for population dynamics in continuous space.. 2004. |
条目包含的文件 | 条目无相关文件。 |
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