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来源类型 | Monograph (IIASA Interim Report) |
规范类型 | 报告 |
A Tale of Two Cycles - Distinguishing Quasi-cycles and Limit Cycles in the Finite Predator-Prey Populations. | |
Pineda-Krch M; Blok HJ; Dieckmann U; Doebeli M | |
发表日期 | 2006 |
出版者 | IIASA, Laxenburg, Austria: IR-06-040 |
出版年 | 2006 |
语种 | 英语 |
摘要 | Periodic predator-prey dynamics in constant environments are usually taken as indicative of deterministic limit cycles. It is known, however, that demographic stochasticity in finite populations can also give rise to regular population cycles, even when the corresponding deterministic models predict a stable equilibrium. Specifically, such quasi-cycles are expected in stochastic versions of deterministic models exhibiting equilibrium dynamics with weakly damped oscillations. The existence of quasi-cycles substantially expands the scope for natural patterns of periodic population oscillations caused by ecological interactions, thereby complicating the conclusive interpretation of such patterns. Here we show how to distinguish between quasi-cycles and noisy limit cycles based on observing changing population sizes in predator-prey populations. We start by confirming that both types of cycle can occur in the individual-based version of a widely used class of deterministic predator-prey model. We then show that it is feasible and straightforward to accurately distinguish between the two types of cycle through the combined analysis of autocorrelations and marginal distributions of population sizes. Finally, by confronting these results with real ecological time series, we demonstrate that by using our methods even short and imperfect time series allow quasi-cycles and limit cycles to be distinguished reliably. |
主题 | Evolution and Ecology (EEP) |
URL | http://pure.iiasa.ac.at/id/eprint/8057/ |
来源智库 | International Institute for Applied Systems Analysis (Austria) |
资源类型 | 智库出版物 |
条目标识符 | http://119.78.100.153/handle/2XGU8XDN/125516 |
推荐引用方式 GB/T 7714 | Pineda-Krch M,Blok HJ,Dieckmann U,et al. A Tale of Two Cycles - Distinguishing Quasi-cycles and Limit Cycles in the Finite Predator-Prey Populations.. 2006. |
条目包含的文件 | ||||||
文件名称/大小 | 资源类型 | 版本类型 | 开放类型 | 使用许可 | ||
IR-06-040.pdf(357KB) | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 |
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