| 来源类型 | Article
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| 规范类型 | 其他
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| DOI | 10.1098/rstb.2010.0100
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| How to lift a model for individual behaviour to the population level? |
| Diekmann O; Metz JAJ
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| 发表日期 | 2010
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| 出处 | Philosophical Transactions of the Royal Society B: Biological Sciences 365 (1557): 3523-3530
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| 出版年 | 2010
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| 语种 | 英语
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| 摘要 | The quick answer to the title question is: By bookkeeping; introduce as p(opulation)-state a measure telling how the individuals are distributed over their common i(ndividual)-state space, and track how the various i-processes change this measure. Unfortunaely, this answer leads to a mathematical theory that is technically complicated as well as immature. Alternatively, one may describe a population in terms of the history of the population birth rate together with the history of any environmental variables affecting i-state changes, reproduction and survival. Thus, a population model leads to delay equations. This delay formulation corresponds to a restriction of the p-dynamics to a forward invariant attracting set, so that no information is lost that is relevant for long-term dynamics. For such equations there exists a well-developed theory. In particular, numerical bifurcation tools work essentially the same as for ordinary differential equations. However, the available tools still need considerable adaptation befoe they can be practically applied to the dynamic energy budget (DEB) model. For the time being we recommend simplifying the i-dynamics before embarking on a systematic mathematical exploration of the associated p-behaviour. The long-term aim is to extend the tools, with the DEB model as a relevant goal post. |
| 主题 | Evolution and Ecology (EEP)
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| 关键词 | DEB models
Delay equations
Extinction boundary
Physiologically structured population models
Stabiity boundary
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| URL | http://pure.iiasa.ac.at/id/eprint/9177/
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| 来源智库 | International Institute for Applied Systems Analysis (Austria)
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| 引用统计 |
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| 资源类型 | 智库出版物
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| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/129077
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推荐引用方式
GB/T 7714 |
Diekmann O,Metz JAJ. How to lift a model for individual behaviour to the population level?. 2010.
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