Growth models and the expected distribution of fluctuating asymmetry

Biological Journal of the Linnean Society
By: , and 

Links

Abstract

Multiplicative error accounts for much of the size-scaling and leptokurtosis in fluctuating asymmetry. It arises when growth involves the addition of tissue to that which is already present. Such errors are lognormally distributed. The distribution of the difference between two lognormal variates is leptokurtic. If those two variates are correlated, then the asymmetry variance will scale with size. Inert tissues typically exhibit additive error and have a gamma distribution. Although their asymmetry variance does not exhibit size-scaling, the distribution of the difference between two gamma variates is nevertheless leptokurtic. Measurement error is also additive, but has a normal distribution. Thus, the measurement of fluctuating asymmetry may involve the mixing of additive and multiplicative error. When errors are multiplicative, we recommend computing log E(l) − log E(r), the difference between the logarithms of the expected values of left and right sides, even when size-scaling is not obvious. If l and r are lognormally distributed, and measurement error is nil, the resulting distribution will be normal, and multiplicative error will not confound size-related changes in asymmetry. When errors are additive, such a transformation to remove size-scaling is unnecessary. Nevertheless, the distribution of l − r may still be leptokurtic.

Publication type Article
Publication Subtype Journal Article
Title Growth models and the expected distribution of fluctuating asymmetry
Series title Biological Journal of the Linnean Society
DOI 10.1046/j.1095-8312.2003.00220.x
Volume 80
Issue 1
Year Published 2003
Language English
Publisher Wiley
Contributing office(s) Western Fisheries Research Center
Description 9 p.
First page 57
Last page 65
Online Only (Y/N) N
Additional Online Files (Y/N) N
Google Analytic Metrics Metrics page
Additional publication details