Quantitative Population Ethology

by

Bland Ewing, Brian S. Yandell, James F. Barbieri, and Robert F. Luck
Technical Report #1033, January 2001, U WI Madison Statistics

Since the advent of theoretical population biology, there have been a number of attempts to simulate and predict the states of various biological systems using any number of sophisticated analytical, statistical, and numerical techniques. In some cases such techniques have been extremely successful, while in other applications the same approaches have failed miserably. We shall briefly discuss some of the general properties of theoretical population biology and then examine two biological systems as they might be viewed by a field biologist. From this study we conjecture some of the properties that an individual in a small population may exhibit. Based on these properties we suggest a possible modeling technique that is uniquely dependent on the information that the biologist observes.

Manuscript available as TR1003.