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Science and Mathematics Education

University of Nebraska - Lincoln

Population dynamics

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Full-Text Articles in Education

Modeling And Analysis Of Biological Populations, Joan Lubben Jul 2009

Modeling And Analysis Of Biological Populations, Joan Lubben

Department of Mathematics: Dissertations, Theses, and Student Research

Asymptotic and transient dynamics are both important when considering the future population trajectory of a species. Asymptotic dynamics are often used to determine whether the long-term trend results in a stable, declining or increasing population and even provide possible directions for management actions. Transient dynamics are important for estimating invasion speed of non-indigenous species, population establishment after releasing biocontrol agents, or population management after a disturbance like fire. We briefly describe here the results in this thesis.

(1) We consider asymptotic dynamics using discrete time linear population models of the form n(t + 1) = An(t) where …


Ten Suggestions To Strengthen The Science Of Ecology, Gary E. Belovsky, Daniel B. Botkin, Todd A. Crowl, Kenneth W. Cummins, Jerry F. Franklin, Malcolm L. Hunter, Anthony Joern, David B. Lindenmayer, James A. Macmahon, Chris R. Margules, J. Michael Scott Apr 2004

Ten Suggestions To Strengthen The Science Of Ecology, Gary E. Belovsky, Daniel B. Botkin, Todd A. Crowl, Kenneth W. Cummins, Jerry F. Franklin, Malcolm L. Hunter, Anthony Joern, David B. Lindenmayer, James A. Macmahon, Chris R. Margules, J. Michael Scott

Papers in Ecology

There are few well-documented, general ecological principles that can be applied to pressing environmental issues. When they discuss them at all, ecologists often disagree about the relative importance of different aspects of the science’s original and still important issues. It may be that the sum of ecological science is not open to universal statements because of the wide range of organizational, spatial, and temporal phenomena, as well as the sheer number of possible interactions.We believe, however, that the search for general principles has been inadequate to establish the extent to which generalities are possible.We suggest that ecologists may need to …