Integrative model of a population distribution in a habitat

Abstract

This paper is devoted to an explanation of the mathematical model of a population distribution in a habitat. The spatial distribution is considered as a function of factors affecting a population. The model includes both linear and non-linear modeling mechanisms, which allow description of a variety of environmental situations observed in nature. All components of the model are conceptually connected with one another and based on one methodological basis. This allows development of the integrative picture of mathematical modeling of spatial population dynamics. The theoretical portion of the paper presents logical structures and mathematical equations for numeric modeling of a population distribution in a habitat. The practical portion describes the application of the integrative model to the study of the spatial distribution of fry of Brown trout ( Salmon trutta L.) in the experimental conditions. The integrative model represents a standardized and reliable method for studying spatial population dynamics applicable to a variety of populations of different species. This method offers a comprehensive algorithm of steps which one should take in order to predict spatial distribution of organisms. It also outlines the information necessary for mathematical modeling of spatial population dynamics. Through systematization of the modeling process, the integrative model aims to enhance the understanding and use of mathematical modeling in environmental sciences and ecology in general.