Research

Model for fitting longitudinal traits subject to threshold response applied to genetic evaluation for heat tolerance

Juan Pablo Sánchez¹ , Romdhane Rekaya² and Ignacy Misztal²

¹  Departamento de Producción Animal, Facultad de Veterinaria, Universidad de León, Campus de Vegazana, León, 24071, Spain

²  Animal and Dairy Science Department, University of Georgia, 425 River Road, Athens, GA, 30602, USA

author email corresponding author email

Genetics Selection Evolution 2009, 41:10doi:10.1186/1297-9686-41-10

Published:	14 January 2009

Abstract

A semi-parametric non-linear longitudinal hierarchical model is presented. The model assumes that individual variation exists both in the degree of the linear change of performance (slope) beyond a particular threshold of the independent variable scale and in the magnitude of the threshold itself; these individual variations are attributed to genetic and environmental components. During implementation via a Bayesian MCMC approach, threshold levels were sampled using a Metropolis step because their fully conditional posterior distributions do not have a closed form. The model was tested by simulation following designs similar to previous studies on genetics of heat stress. Posterior means of parameters of interest, under all simulation scenarios, were close to their true values with the latter always being included in the uncertain regions, indicating an absence of bias. The proposed models provide flexible tools for studying genotype by environmental interaction as well as for fitting other longitudinal traits subject to abrupt changes in the performance at particular points on the independent variable scale.