JSM 2004 - Toronto

Abstract #301526

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Activity Number: 262
Type: Topic Contributed
Date/Time: Tuesday, August 10, 2004 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistical Computing
Abstract - #301526
Title: Analysis of Nonlinear Variation in Thermal Performance Curves
Author(s): Rima Izem*+ and J. Stephen Marron and Joel G. Kingoslver
Companies: Harvard University and University of North Carolina and University of North Carolina, Chapel Hill
Address: One Oxford Street, Statistics Department, Cambridge, MA, 02138-2901,
Keywords: functional data analysis ; evolutionary biology ; analysis of variation ; nonlinear variation ; Frechet mean and variance ; common shape curves
Abstract:

Thermal performance curves are an example of common shape curves from evolutionary biology. Three modes of variations in these curves are of interest to biologists because each mode induces a different evolutionary response of the population to selection. Since two of those modes are nonlinear, traditional methods of analysis of variance in curves such as principal component analysis fail to decompose the variation into biological modes or to quantify each mode. We present the result of a new method: Template Mode of Variation in the decomposition of the variation in the thermal performance curves into modes of variation of biological interest.

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