Some Results on the Analysis of a Climax Population Model

A difference equation model of a single climax
species with two age classes (juvenile and adult) is
studied. In a single species climax population model
with no age structure, high population densities
lead to extinction. Studies of discrete-time models
of climax species with age structure is developing
in the literature. In this monograph, it is shown
that age structure makes it possible for a density
that has extinction as its ultimate life history to
have persistence as its ultimate fate with juvenile-
adult competition. This suggests that juvenile-adult
competition may be critical to species survival.
Finally, the results of the analysis are also
applied to popluation data of the purse-seine
anchovy fish, Engraluis capensis, that is located
off the West Cape coast of South Africa. While the
phenonmena of intraspecific competition and age
structure are not newly observed phenonmena, the
study of this phenomena in climax models is
developing.

Autorentext
Dr. Shurron Farmer teaches in the Mathematics Department at the
University of the District of Columbia. He earned his B.S. in
Mathematics from Florida A&M University in 1994 and his M.S. and
Ph. D. in mathematics from Howard University in 1996 and 2001,
respectively. He's also taught at Morgan State University.

Klappentext
A difference equation model of a single climax species with two age classes (juvenile and adult) is studied. In a single species climax population model with no age structure, high population densities lead to extinction. Studies of discrete-time models of climax species with age structure is developing in the literature. In this monograph, it is shown that age structure makes it possible for a density that has extinction as its ultimate life history to have persistence as its ultimate fate with juvenile- adult competition. This suggests that juvenile-adult competition may be critical to species survival. Finally, the results of the analysis are also applied to popluation data of the purse-seine anchovy fish, Engraluis capensis, that is located off the West Cape coast of South Africa. While the phenonmena of intraspecific competition and age structure are not newly observed phenonmena, the study of this phenomena in climax models is developing.