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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 71 | Issue 8 | Year 2025 | Article Id. IJMTT-V71I8P107 | DOI : https://doi.org/10.14445/22315373/IJMTT-V71I8P107

Mathematical Modelling of Rainfall and Water Security in Ranchi Using Prophet under Climate Change


Ranjeet Kumar, Anamol Kumar Lal, Uma Shanker Singh
Received Revised Accepted Published
19 Jun 2025 28 Jul 2025 15 Aug 2025 31 Aug 2025
Citation :

Ranjeet Kumar, Anamol Kumar Lal, Uma Shanker Singh, "Mathematical Modelling of Rainfall and Water Security in Ranchi Using Prophet under Climate Change," International Journal of Mathematics Trends and Technology (IJMTT), vol. 71, no. 8, pp. 44-48, 2025. Crossref, https://doi.org/10.14445/22315373/IJMTT-V71I8P107

Abstract

Climate change significantly affects water availability in monsoon-dependent Ranchi, India. This study analyzes historical weather data (1979–2024) and uses the Prophet forecasting model to project monthly rainfall (PRCP) and average temperature (TAVG) through 2045. Based on regional trends, a 7% increase in monsoon rainfall and a 0.2°C/decade temperature rise is integrated. Rainfall deficits are calculated against a 100 mm/month baseline, adjusted for evaporation losses. Results show persistent non-monsoon deficits (e.g., 100 mm in December–February), with monsoon peaks rising to 268 mm by 2045. Temperature increases (0.4–0.6°C by 2045) exacerbate deficits, especially in May (31.2°C). These findings underscore the need for adaptive water management, such as enhanced storage and irrigation, to ensure water security in a warming climate.

Keywords

Climate Change, Rainfall Deficit, Water Security, Prophet Model, Evaporation. 

References

[1] V. Masson-Delmotte et al., Climate Change 2021: The Physical Science Basis, Contribution of Working Group I to the Sixth Assessment Report, 2013.
[Google Scholar] [Publisher Link]
[2] Andrew G. Turner, and H. Annamalai, “Climate Change and The South Asian Summer Monsoon,” Nature Climate Change, vol. 2, pp. 587–595, 2012.
[CrossRef] [Google Scholar] [Publisher Link]
[3] Surendra Kumar Chandniha et al., “Trend Analysis of Precipitation in Jharkhand State, India,” Theoretical and Applied Climatology, vol. 130, pp. 261–274, 2017.
[CrossRef] [Google Scholar] [Publisher Link]
[4] Shashank Shree, and Manoj Kumar, “Analysis of Seasonal and Annual Rainfall Trends for Ranchi District, Jharkhand, India,” Environmental Earth Science, vol. 77, 2018.
[CrossRef] [Google Scholar] [Publisher Link]
[5] Sulochana Gadgil, “The Indian Monsoon and Its Variability,” Annual Review of Earth and Planetary Sciences, vol. 31, pp. 429–467, 2003.
[CrossRef] [Google Scholar] [Publisher Link]
[6] Sean J. Taylor, and Benjamin Letham, “Forecasting at Scale,” The American Statistician, vol. 72, no. 1, pp. 37–45, 2018.
[CrossRef] [Google Scholar] [Publisher Link]
[7] Richard G. Allen et al., “Crop Evapotranspiration - Guidelines for Computing Crop Water Requirements - FAO Irrigation and Drainage Paper 56,” Food and Agriculture Organization of the United Nations, 1998.
[Google Scholar] [Publisher Link]
[8] Jatan Debnath, Nibedita Das, and Dhrubajyoti Sahariah, “Impacts of Temperature–rainfall and Land Use/land Cover Changes on the Hydrological Regime in the Muhuri River Basin, Northeast India,” Sustainable Water Resources Management, vol. 8, 2022.
[CrossRef] [Google Scholar] [Publisher Link]
[9] Sharad K. Jain, and Vijay Kumar, “Trend Analysis of Rainfall and Temperature Data for India,” Current Science, vol. 102, no. 1, pp. 37 49, 2012.
[Google Scholar] [Publisher Link]
[10] Brij Kishor Pandey, and Deepak Khare, “Identification of Trend in Long Term Precipitation and Reference Evapotranspiration Over Narmada River Basin (India) | Request PDF,” Global and Planetary Change, vol. 161, pp. 172-182, 2018.
[CrossRef] [Google Scholar] [Publisher Link]

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