Dos métodos matemáticos para estudiar la eutrofización por fósforo de un humedal en Puerto Rico

Autores/as

DOI:

https://doi.org/10.17981/ingecuc.15.1.2019.06

Palabras clave:

fósforo total, fósforo soluble reactivo, nitrógeno total, punto de equilibrio, eutrofización, hipereutrofización, método de agrupamiento de grises, dinámica del fósforo

Resumen

Introducción: Laguna Cartagena (LC), es un humedal en Lajas, Puerto Rico, que ha sido afectado negativamente por nutrientes, principalmente escorrentía de fósforo de las actividades agrícolas hasta el final del cultivo de la caña de azúcar a fines del siglo XX. Estas condiciones han propiciado que, la concentración de P permaneciera alta en un estado hipereutrófico, el cual era irremediable incluso después de una reducción de 5 veces en la concentración de nutrientes del agua fuente.

Objetivo: El objetivo principal de este artículo de investigación es aplicar dos métodos matemáticos diferentes para evaluar el nivel de eutrofización de un humedal en Puerto Rico.

Metodología: El Método de Agrupamiento de Grises (GCM) se usó para clasificar el estado eutrófico de LC aplicando los estándares tróficos internacional y chino y dos parámetros, Fósforo Total (TP) y Nitrógeno Total (TN). La media de TP y TN en el sustrato del fondo consolidado de LC y las muestras de floculencia se utilizaron para clasificar LC. Para analizar si LC puede recuperarse, se utilizó fósforo reactivo soluble (SRP) y TP a partir de muestras de agua a la entrada, salida y centro de LC para modelar (ecuación diferencial) la entrada y pérdida de fósforo en LC y determinar si existe un punto

de equilibrio. El análisis GCM clasificó a la LC como un humedal eutrófico utilizando el estándar internacional e hipereutrófico utilizando el estándar chino.

Resultados: La clasificación del estado trófico no presentó variaciones con el uso del sustrato de fondo consolidado versus las muestras de floculencia. El modelo de ecuaciones diferenciales mostró que los niveles de SRP y TP dentro de LC fueron más altos que los niveles de SRP y TP que entran en LC, lo que podría ser causado por un proceso de reciclaje de nutrientes dentro de LC que puede predecir el fracaso de los esfuerzos de remediación. Se encontró un punto de equilibrio a nivel eutrófico, lo que significa que incluso si hay una reducción en la entrada de fósforo, no habrá un cambio en el estado eutrófico de LC.

Conclusiones: El estándar trófico chino indicó que la LC estaba en un estado hipertrófico. Se encontraron resultados similares usando el estándar internacional. El modelo de ecuaciones diferenciales mostró que LC es irreversible.

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Biografía del autor/a

Marlio Paredes Gutiérrez, Universidad del Valle. Cali, (Colombia) - Arizona State University. Tempe, Arizona (Estados Unidos) - Universidad Francisco Gavidia. San Salvador, (El Salvador)

received a bachelor’s degree (1984) and a master’s degree (1991) in mathematics from Universidad del Valle and his PhD Degree in Mathematics from State University of Campinas, Brazil, in 2000. From October 2014 to April 2015 he did a postdoctoral stay at Uppsala University in Sweden, working on an applied mathematics project. He is professor and researcher in the Department of Mathematics at Universidad del Valle, Cali, Colombia. His research interests include applied mathematics, mathematical modeling, differential geometry and combinatorics. https://orcid.org/0000-0002-9375-3743

Brenda Carolina Torres Velasquez, Universidad del Turabo. Gurabo, Puerto Rico (Estados Unidos)

recieved the B.Eng. in Statistical Computing in 2005 from the Escuela Superior Politécnica del Litoral (Guayaquil, Ecuador); a master’s degree in Statistics from Universidad de Puerto Rico ( Mayaguez, Puerto Rico) in 2009; and a doctoral degree in Environmental Sciences from Universidad del Turabo ( Gurabo, Puerto Rico) in 2017. His research interests include statistics applied to public health, epidemiology; disease outbreaks; environmental sciences; biology problems; water pollution; eutrophication

Yashira Marie Sanchez Colon, Ponce Health Sciences University. Ponce, Puerto Rico (Estados Unidos)

is PhD, Environmental Science, Universidad del Turabo, Gurabo, Puerto Rico. Her interests include the monitoring of aquatic ecosystems, especially nutrient concentrations and eutrophication in freshwater wetlands and issues related to both the Clean Water Act and Drinking Water Act. The prevention and assessment of health effects from environmental exposures are focal areas of Dr Sánchez’ ongoing research interests. https://orcid.org/0000-0002-3129-561X

Fred Charles Schaffner Gibbs, Universidad del Turabo. Gurabo, Puerto Rico (Estados Unidos)

received the Ph.D. degree in environmental biology from University of Miami in 1988. He is Full Professor of Departamento de Ciencias Naturales y Tecnología, Universidad del Turabo. Gurabo, Puerto Rico, United States. His research interests include environmental issues, ecology and evolution, avian ecology and conservation biology. https://orcid.org/0000-0003-4877-5860

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Publicado

2019-03-22

Cómo citar

Paredes Gutiérrez, M., Torres Velasquez, B. C., Sanchez Colon, Y. M., & Schaffner Gibbs, F. C. (2019). Dos métodos matemáticos para estudiar la eutrofización por fósforo de un humedal en Puerto Rico. Inge Cuc, 15(1), 63–76. https://doi.org/10.17981/ingecuc.15.1.2019.06

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