Analysis of performance functions for adjusting parameters of Colombian migration model

Abstract

This paper proposes the identification parameter for a human migration model among five Colombian regions. For the identification of parameters an optimization approach is employed where we propose two objective functions. The results obtained with the objective functions are statistically analyzed. The methodology for data analysis employs parametric or non-parametric tests depending on the fulfillment of the assumptions of normality and homoscedasticity (equal variance). To adjust the model, two approaches to the objective function are used. The first considers the total number of population and the second uses the number of inhabitants in each region. By carrying out statistical analyzes, a better adjustment model is observed when considering the number of inhabitants in each region.