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Simulating Complex Relationships Between Pollutants and the Environment Using Regression Splines: A Case Study for Landfill Leachate

In: Sustainability

Author

Listed:
  • Arpita H. Bhatt

    (University of Texas at Arlington (UTA))

  • Richa V. Karanjekar

    (University of Texas at Arlington (UTA)
    ERM)

  • Said Altouqi

    (University of Texas at Arlington (UTA)
    Oman Environmental Services Holding Company)

  • Melanie L. Sattler

    (University of Texas at Arlington (UTA))

  • Victoria C. P. Chen

    (University of Texas at Arlington)

  • M. D. Sahadat Hossain

    (University of Texas at Arlington (UTA))

Abstract

Pollutant concentrations in the environment are functions of source variables, environmental variables, and time. Relationships among these variables are complex and unknown, therefore multiple linear regression may not be applicable. One solution is use of Multivariate Adaptive Regression Splines (MARS). MARS is a flexible statistical method, used for machine learning, but it is not typically appropriate for sustainability applications due to limited data. While most machine learning algorithms require a large amount of data and may not yield interpretable results, by contrast, MARS in conjunction with design of experiments has the ability to find important interpretable relationships in limited data. Laboratory data were collected under a controlled environment to discover how leachate composition changes as functions of ambient temperature, rainfall intensities, and waste composition. The MARS application to landfill leachate demonstrates a promise in capturing complex relationships, illustrated via MARS 3D interaction plots.

Suggested Citation

  • Arpita H. Bhatt & Richa V. Karanjekar & Said Altouqi & Melanie L. Sattler & Victoria C. P. Chen & M. D. Sahadat Hossain, 2023. "Simulating Complex Relationships Between Pollutants and the Environment Using Regression Splines: A Case Study for Landfill Leachate," International Series in Operations Research & Management Science, in: Fausto Pedro García Márquez & Benjamin Lev (ed.), Sustainability, pages 427-451, Springer.
  • Handle: RePEc:spr:isochp:978-3-031-16620-4_19
    DOI: 10.1007/978-3-031-16620-4_19
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