Electronic module design for automatic fish breeding through multiparametric mathematical modeling that simulates necessary basic conditions for breeding in artificial ponds according to physico-chemical parameters

Abstract

Aquaculture is one of the activities that has had economic growth in the productive sector at a national level. This activity depends on the management that can be given to the body of water, which requires attention on certain physico-chemical parameters such as temperature, dissolved oxygen, pH, among others to obtain production success. In this work we show the study of several mathematical models where water quality is taken as a case study, with the purpose of simplifying them, maintaining the maximum of the model using three methodologies through computational tools, as well as relations or temporal evolution of each variable, expressed through corresponding mathematical relations of the real world (technological relations, physical laws, market restrictions, etc.) estimating the behavior of the process for certain conditions.

In the first instance, the parameters for the characterization such as feed regime, biomass, alkalinity, aeration, photosynthetic effects, among other physical, chemical and biological factors of easier measurement are defined in a sequence of particular cases. With this, the mathematical model is adapted by taking elements from their coding in equations, which allow an analysis of inputs / outputs to find an expression for their concentration in steady state by the ratio of these quantities to the maximum admissible concentration, which is expected, to be condensed into a "single" multifactorial model that characterizes the whole process, seeking to maintain certain parameters considered as critical, within acceptable limits. All this, based on standardized models incorporating the modifications or improvements that each one of them contributes with and through the previous study that has tried to integrate all the process inside artificial geomembrane ponds, implementing monitoring tools that allow for statistical management, registration of changes in the patterns, besides being able to generate historical reports, and important information of the process.

The identification in real systems is made using the MATLAB Toolbox, obtaining a significant amount of data to ensure sufficient information of the dynamics of the system, validating several models, reducing the solution to "minimum expression". Additionally, an interface that facilitates the input of parameters is designed; it simulates different crop scenarios or initial conditions of the system for the estimation of the multiple variables in a reduced number of these. Likewise, the interface allows to determine the maximum number of cultivated population that the environment can withstand in a period of time, that condenses in the proper operation of fishery projects in a continuous way without affecting the health of the fish, this due to a great extent to the lack of a control instrument to help control the water quality of the process; so as to minimize the environmental impact, improve the commercial benefits, paying special attention to those aspects that most influence the commercial culture, complying with the recommendations on fish stocking; This work being a starting point, presenting a series of procedures, observations, and recommendations.