Movimiento de una partícula en una piscina de acuicultura mediante una ecuación diferencial estocástica de Langevin basada en MCMC

Abstract

The movement of a particle in the water is known that is developed within an aquatic production pool with biofloc technology, that is vital importance, that is known by the incidence in the total costs of those production systems, in addition, the environmental effects has had by the used water in the system. In this work, a Langevin model is proposed to describe the movement of the particles that are driven by air currents. An algorithm of Monte Carlo techniques by Markov Chains is used, specifically, the Metropolis-Hasting is developed to reconstruct the states of the non-linear dynamic system that is sensitive to the initial conditions. The data is obtained from a scale experiment, the proposed methodology is shown that the methodology adequately describes those movements, cyclical patterns in short periods of time are presented. The efficiency of prediction of the model is checked that is reproduced from the estimated states with the real data. Finally, a goodness of fit measure is proposed to assess the quality of 21 22 Proao, J. S´anchez, L. y Fosado, O. the estimate, insignificant errors are obtained.