Phenotypic and genetic variations and correlations in multitrait developmental instability: a multivariate Bayesian model applied to Speckled Wood butterfly (Pararge aegeria) wing measurements

Abstract

Phenotypic and genetic variation and covariation in developmental instability (DI) have been the subject of many debates. In this paper we develop and apply a statistical model in a Bayesian context to analyse different traits simultaneously in a multivariate model of DI. We apply the model to measurements of yellow spots on the front wing of the Speckled Wood butterfly (Pararge aegeria L.) in a full-sib breeding experiment. We estimated the posterior distribution of the broad-sense heritability of DI averaged across the five yellow spots, which had a median of 0.19 and a 95% credibility interval ranging between 0.04 and 0.64. Phenotypic and genetic correlations in DI could not be estimated accurately with the present sample size. Yellow spots 4 and 5 appeared to show some degree of developmental integration. The importance of this model and its possible extensions are discussed.