Ecophysiological crop growth models are widely used to simulate the growth course of many crops and in several environmental conditions. These studies often focus on interpretations of genotype by environment (GxE) interactions and quantitative trait loci (QTL) analysis, and sometimes on QTL by environment (QTLxE) interactions. However, they leave a gap between extensive statistical analysis of GxE and QTLxE interactions, and understanding the relation between the physiological parameters and the final phenotypic outcome, which is bridged by this work. In this paper we developed a crop growth model for prediction of yield performance while accounting for environmental differences. The considered model is an adaptation of the simple LINTUL (light interception and utilization simulator) crop growth model with 7 independent physiological parameters. To each of these 7 parameters, a number of QTL with different strength were assigned and the resultant genetic architectures compared.