Modelación matemática de la dinámica del fósforo en los ecosistemas acuáticos
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Fecha
2017-06-26
Autores
Castillo Alvarez, Maibelin
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Universidad Central “Marta Abreu” de Las Villas
Resumen
En esta tesis se presentan las bases para la confección de un modelo de dinámica del fósforo para ecosistemas costeros cubanos. Se parte de un modelo 0-dimensional, el cual incluye diversos procesos físicos, químicos y biológicos, dependientes solamente del tiempo. En este, primero se consideró un ecosistema relativamente aislado, luego se consideraron las cargas contaminantes de las aguas pluviales de escorrentía. Posteriormente se incluyó la variable espacial vertical, dada la importancia que tiene para el fósforo la interacción con muchos fondos costeros. Esto redundó en un modelo 1-dimensional de naturaleza predominantemente termo-hidrodinámica, acoplado a un modelo de transferencia radiativa en atmósfera y océano. El esqueleto termo-hidrodinámico del modelo consiste en un sistema de tres ecuaciones en derivadas parciales cuyas soluciones se encontraron y resultaron bien comportadas desde el punto de vista matemático. Se hizo una aplicación preliminar a un caso de estudio. Finalmente, se presentan perspectivas para trabajos futuros.
In this thesis a basic framework for the elaboration of a model of the dynamics of phosphorus in Cuban coastal ecosystems are presented. We start from a 0-dimensional model, which includes several physical, chemical and biological processes depending only on time. In this, first a relatively isolated ecosystem was considered, and then polluting loads from runoff were included. Then the vertical space variable was introduced, given the importance of the interaction of phosphorus with the bottom in many coastal ecosystems. This resulted in a 1-dimensional model of predominantly thermos-hydrodynamic model, coupled with a model of radiative transfer in atmosphere and ocean. The thermo-hydrodynamic frame of the model consists of a system of three partial differential equations whose solutions were found and turned out to be well behaved from a mathematical point of view. A preliminary application to a case study was done and analyzed. Finally, perspectives for further work are presented.
In this thesis a basic framework for the elaboration of a model of the dynamics of phosphorus in Cuban coastal ecosystems are presented. We start from a 0-dimensional model, which includes several physical, chemical and biological processes depending only on time. In this, first a relatively isolated ecosystem was considered, and then polluting loads from runoff were included. Then the vertical space variable was introduced, given the importance of the interaction of phosphorus with the bottom in many coastal ecosystems. This resulted in a 1-dimensional model of predominantly thermos-hydrodynamic model, coupled with a model of radiative transfer in atmosphere and ocean. The thermo-hydrodynamic frame of the model consists of a system of three partial differential equations whose solutions were found and turned out to be well behaved from a mathematical point of view. A preliminary application to a case study was done and analyzed. Finally, perspectives for further work are presented.
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Palabras clave
Ecosistema Acuático, Nutriente, Fósforo, Aquatic Ecosystem, Nutrient, Phosphorus