Sensitivity analysis of equilibrium in density-dependent matrix population models

被引:25
作者
Caswell, H [1 ]
Takada, T
Hunter, CM
机构
[1] Woods Hole Oceanog Inst, Biol Dept MS34, Woods Hole, MA 02543 USA
[2] Hokkaido Tokai Univ, Sch Int Cultural Relationships, Sapporo, Hokkaido 0050861, Japan
关键词
density dependence; elasticity analysis; equilibrium; evolutionary stable strategy; invasion exponent; matrix population models; nonlinear; sensitivity analysis; territory limitation; Tribolium;
D O I
10.1111/j.1461-0248.2004.00595.x
中图分类号
Q14 [生态学(生物生态学)];
学科分类号
071012 ; 0713 ;
摘要
We consider the effects of parameter perturbations on a density-dependent population at equilibrium. Such perturbations change the dominant eigenvalue lambda of the projection matrix evaluated at the equilibrium as well as the equilibrium itself. We show that, regardless of the functional form of density dependence, the sensitivity of lambda is equal to the sensitivity of an effective equilibrium density (N) over tilde, which is a weighted combination of the equilibrium stage densities. The weights measure the contributions of each stage to density dependence and their effects on demography. Thus, (N) over tilde is in general more relevant than total density, which simply adds all stages regardless of their ecological properties. As log lambda is the invasion exponent, our results show that successful invasion will increase (N) over tilde, and that an evolutionary stable strategy will maximize (N) over tilde. Our results imply that eigenvalue sensitivity analysis of a population projection matrix that is evaluated near equilibrium can give useful information about the sensitivity of the equilibrium population, even if no data on density dependence are available.
引用
收藏
页码:380 / 387
页数:8
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