Spotted owls and flying squirrels: using eigenanalysis to predict observed behavior of a discrete linear dynamical system
Peter Brown Center for ComputerBased Instructional Technology, Department of Computer Science pbrown@cs.umass.edu
Murray Eisenberg Department of Mathematics and Statistics murray@math.umass.edu
University of Massachusetts, Amherst
Note to reviewers: In this alpha version, some references and other items are missing. And we need to check the units for these populations, i.e., measuring in tens, hundreds, thousands? also what the time units are, i.e., months, years.
•Introduction
Northern spotted owls and flying squirrels inhabit oldgrowth forests in the northwestern United States. The squirrels are a major food source for the owls: the owls just love to eat squirrels. Collected data (see [source to be supplied]) provides monthbymonth population figures for both owls and squirrels. The main problem here is to explain certain numerical regularities one can observe in such data and, more importantly, to be able to predict these regularities if one knows just the two population sizes at any one given starting time.
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