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Exploring the Potential of Mathematical Self-Purification Models Used for Evaluating Water Quality in Rivers

  • Fausto Fernando García Ávila (First Author)
  • , Pablo Andrés Sinche Morales
  • , Fátima Geovanna Sagal Bustamante
  • , Freddy Adrian Criollo Illescas
  • , Lorgio Valdiviezo Gonzáles (Last Author)
  • Facultad de Ciencias Químicas Universidad de Cuenca
  • Universidad Tecnológica del Perú

Research output: Contribution to journalReview articlepeer-review

1 Scopus citations
2 Downloads (Pure)

Abstract

The quality of water in rivers and their self-purification capacity are critical for maintaining healthy aquatic ecosystems. This study aims to analyze and compare various mathematical models of self-purification, assessing their applicability in restoring water quality and proposing recommendations for their improved use. A systematic review of the scientific literature was conducted following PRISMA 2020 guidelines to ensure a rigorous approach. Research questions were framed using the PICO model, which includes Population, Intervention, Comparison, and Outcomes. Relevant studies published between 2015 and 2024 regarding mathematical models of river self-purification were selected. Inclusion and exclusion criteria were applied, and a critical analysis of findings was performed, highlighting methodologies and results. The results indicate that the effectiveness of self-purification models varies significantly depending on environmental and geographic characteristics. A need for more specific models and the integration of local variables was identified as a research gap that requires attention in future studies. Furthermore, recommendations were made to enhance model calibration and validation, as well as to incorporate innovative approaches for optimizing water quality management in rivers. These mathematical models are essential tools for managing river water quality, promoting public health, and contributing to the achievement of Sustainable Development Goal 6 (SDG 6).

Original languageEnglish
Article number131
Pages (from-to)1-36
Number of pages36
JournalEarth (Switzerland)
Volume6
Issue number4
DOIs
StatePublished - 17 Oct 2025

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

  1. SDG 3 - Good Health and Well-being
    SDG 3 Good Health and Well-being
  2. SDG 6 - Clean Water and Sanitation
    SDG 6 Clean Water and Sanitation
  3. SDG 8 - Decent Work and Economic Growth
    SDG 8 Decent Work and Economic Growth
  4. SDG 12 - Responsible Consumption and Production
    SDG 12 Responsible Consumption and Production

Keywords

  • mathematical models
  • river pollution
  • rivers
  • self-purification
  • self-purification models
  • water quality

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