Fitting Of Gompertz Model Between Rainfall And Ground Water Levels – A Case Study

Raju Sake; P. Mohammed Akhtar

doi:https://doi.org/10.14445/22315373/IJMTT-V65I7P514

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 7 | Year 2019 | Article Id. IJMTT-V65I7P514 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I7P514

Fitting Of Gompertz Model Between Rainfall And Ground Water Levels – A Case Study

Raju Sake , P. Mohammed Akhtar

Citation :

Raju Sake , P. Mohammed Akhtar, "Fitting Of Gompertz Model Between Rainfall And Ground Water Levels – A Case Study," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 7, pp. 85-93, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I7P514

Abstract

Time series analysis and its prediction itself involve tedious activities, such as their preprocessing, their transformation, and adjustment of various parameters and associated models etc. In this paper we have considered the Statistical Analysis of Rainfall and Ground Water Levels in Anantapuramu District of Andhra Pradesh. It deals with the application of Time Series model to analyze and predict Rainfall (RF) and Ground water levels (GWLs) in Anantapuramu district based on the data collected from January 2007 to December 2016. Through with Gompertz model for the purpose of analysis the district is divided into five zones. We have estimated the Gompertz model values and compared them by using the data. Further, validation of the fitted model identified the best suitable zone. i.e., least Mean Square Error (MSE) value of the zone and forecast on the Rainfall and Ground water levels of this district. We also find the relationship between rainfall and ground water levels in this district and conclusions are drawn based on the results obtained.

Keywords

Rainfall, Ground Water Level, Gompertz model, Validation of the model, prediction.

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