Mathematical Biology Seminar Abstract
Mar 13, 2013
Matthew Tye
University of Central Florida, Department of Biology
10:00 am in MSB 318

Integral projection models as a method to parameterize large Lefkovich matrices in data-limited systems

Lefkovich matrices are a common tool for modeling demography of species with complex life-cycles. However, matrices with few cells greatly impair the ability to detect within-stage variation. Large matrices reduce this problem, but require many parameters that may be difficult to estimate with a finite data set. Integral projection models provide a method to estimate transition probabilities of large matrices using far fewer parameters. This results in an extremely flexible matrix model that can be parameterized accurately, even with a relatively small amount of data. The biological implications of this method will be discussed using models of two species of rare plants.