Dose response Hill model for the arsenic contamination in the groundwater samples of the Lakhimpur district of Uttar Pradesh

Author(s): Sudhanshu Aggarwal1, Lalit Mohan Upadhyaya2
1Department of Mathematics, National Post Graduate College, Barhalganj, Gorakhpur, Uttar Pradesh -273402, India
2Department of Mathematics, Municipal Post Graduate College, Mussoorie, Dehradun, Uttarakhand -248179, India
Copyright © Sudhanshu Aggarwal, Lalit Mohan Upadhyaya. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

An experimental study conducted by Ankit Kumar and colleagues (Kumar, Gupta, Pandey, Govil, and Patel, “Status of Arsenic Contamination in District Lakhimpur, Uttar Pradesh, India,” in Emerging Trends in Science, Social Science and Engineering, edited by Aggarwal, Pandey, Naik, Mishra, Raj, Tripathi, and Shukla, pp. 60-73, ISBN 9789358380125, Astitva Prakashan, Bilaspur, Chhattisgarh) has identified significant levels of arsenic contamination in the groundwater of Lakhimpur district, Uttar Pradesh. Their findings indicate that arsenic levels are notably higher in the shallow regions compared to the deeper India Mark II regions across eight selected study sites. Building on these findings, this paper aims to apply a dose-response Hill model to analyze and explain the observed patterns of arsenic contamination in the groundwater resources of Lakhimpur district.

Keywords: arsenic; arsenic contamination; regression; DR Hill model; Hill slope; regression.