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Application of Bipartite Networks to the Study of Water Quality

Author

Listed:
  • Jair J. Pineda-Pineda

    (Ecology and Survival of Microorganisms Research Group (ESMRG), Laboratorio de Ecología Molecular Microbiana (LEMM), Centro de Investigaciones en Ciencias Microbiológicas (CICM), Instituto de Ciencias (IC), Benemérita Universidad Autónoma de Puebla (BUAP), Puebla 72570, Mexico)

  • C. T. Martínez-Martínez

    (Instituto de Física, Benemérita Universidad Autónoma de Puebla, Puebla 72570, Mexico
    Institute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza, 50018 Zaragoza, Spain)

  • J. A. Méndez-Bermúdez

    (Instituto de Física, Benemérita Universidad Autónoma de Puebla, Puebla 72570, Mexico
    Departamento de Matemática Aplicada e Estatística, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo—Campus de São Carlos, Caixa Postal 668, São Carlos 13560-970, SP, Brasil)

  • Jesús Muñoz-Rojas

    (Ecology and Survival of Microorganisms Research Group (ESMRG), Laboratorio de Ecología Molecular Microbiana (LEMM), Centro de Investigaciones en Ciencias Microbiológicas (CICM), Instituto de Ciencias (IC), Benemérita Universidad Autónoma de Puebla (BUAP), Puebla 72570, Mexico)

  • José M. Sigarreta

    (Facultad de Matemáticas, Universidad Autónoma de Guerrero, Acapulco 39650, Mexico)

Abstract

Water is a basic natural resource for life and the sustainable development of society. Methods to assess water quality in freshwater ecosystems based on environmental quality bioindicators have proven to be low cost, reliable, and can be adapted to ecosystems with well-defined structures. The objective of this paper is to propose an interdisciplinary approach for the assessment of water quality in freshwater ecosystems through bioindicators. From the presence/absence of bioindicator organisms and their sensitivity/tolerance to environmental stress, we constructed a bipartite network, G . In this direction, we propose a new method that combines two research approaches, Graph Theory and Random Matrix Theory (RMT). Through the topological properties of the graph G , we introduce a topological index, called J P ( G ) , to evaluate the water quality, and we study its properties and relationships with known indices, such as Biological Monitoring Working Party ( B M W P ) and Shannon diversity ( H ′ ). Furthermore, we perform a scaling analysis of random bipartite networks with already specialized parameters for our case study. We validate our proposal for its application in the reservoir of Guájaro, Colombia. The results obtained allow us to infer that the proposed techniques are useful for the study of water quality, since they detect significant changes in the ecosystem.

Suggested Citation

  • Jair J. Pineda-Pineda & C. T. Martínez-Martínez & J. A. Méndez-Bermúdez & Jesús Muñoz-Rojas & José M. Sigarreta, 2020. "Application of Bipartite Networks to the Study of Water Quality," Sustainability, MDPI, vol. 12(12), pages 1-19, June.
    • Handle: RePEc:gam:jsusta:v:12:y:2020:i:12:p:5143-:d:375632
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    References listed on IDEAS

    as
    1. Juntao Fan & Jin Wu & Weijing Kong & Yizhang Zhang & Mengdi Li & Yuan Zhang & Wei Meng & And Mengheng Zhang, 2017. "Predicting Bio-indicators of Aquatic Ecosystems Using the Support Vector Machine Model in the Taizi River, China," Sustainability, MDPI, vol. 9(6), pages 1-11, May.
    2. Navia, Andrés F. & Cortés, Enric & Mejía-Falla, Paola A., 2010. "Topological analysis of the ecological importance of elasmobranch fishes: A food web study on the Gulf of Tortugas, Colombia," Ecological Modelling, Elsevier, vol. 221(24), pages 2918-2926.
    3. César Daniel Aguilar-Becerra & Oscar Frausto-Martínez & Hernando Avilés-Pineda & Jair J. Pineda-Pineda & Jennifer Caroline Soares & Maximino Reyes Umaña, 2019. "Path Dependence and Social Network Analysis on Evolutionary Dynamics of Tourism in Coastal Rural Communities," Sustainability, MDPI, vol. 11(18), pages 1-23, September.
    4. Jacopo Cantoni & Zahra Kalantari & Georgia Destouni, 2020. "Watershed-Based Evaluation of Automatic Sensor Data: Water Quality and Hydroclimatic Relationships," Sustainability, MDPI, vol. 12(1), pages 1-15, January.
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    Cited by:

    1. Paul Bosch & Edil D. Molina & José M. Rodríguez & José M. Sigarreta, 2021. "Inequalities on the Generalized ABC Index," Mathematics, MDPI, vol. 9(10), pages 1-17, May.
    2. Frank Aangel Hernández-Mira & José Luis Rosas-Acevedo & Maximino Reyes-Umaña & Juan Violante-González & José María Sigarreta-Almira & Nodari Vakhania, 2021. "Multimetric Index to Evaluate Water Quality in Lagoons: A Biological and Geomorphological Approach," Sustainability, MDPI, vol. 13(9), pages 1-18, April.

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