Question

what to do to in a leslie matrix in order to do risk analysis

Answer 1

Since population explosions and extinctions often have decidedly undesirable environmental or economic consequences, we would like to be able to estimate the chances that a particular species will crash or bloom. Although mathematical demography has employed the Leslie matrix for population projection for several decades it is quite diffficult to make these estimations analytically when stochasticity and density dependence are included in the age-structured model. We describe microcomputer software, ramas, that was designed to overcome this problem. It can represent a great deal of the complexity that is possible in age-structured dynamics of single populations and yet is extremely user-friendly. This methodology permits a comprehensive analysis of the population-level consequences of environmental impacts in terms of the risks of demographically extreme events.

For example:-

in the fisheries science is that the most important population parameter is abundance. Fisheries management and harvest decisions are based on abundance (Ricker 1975; Walters and Collie 1988 ), as are models used by conservation biologists in the analysis of the risk of extinction of populations (Ginzburg et al. 1982; Ferson et al. 1989; Dennis et al. 1991). For family size defined as the number of returning adult breeders per number of parents, abundance is just the product of family size and the number of breeders in the previous generation