Forecasting the Climate Change through the Distributions of Solar Radiation and Maximum Temperature

Authors

M. M. El Genidy, Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, EgyptFollow
E. A. Hebeshy, Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, EgyptFollow
B. S. El-Desouky, Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, EgyptFollow
R. S. Gomaa, Department of Mathematics, Faculty of Science, Mansoura University, 35516 Mansoura, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

The climate change crisis is negatively affecting the world and is the focus of many researchers attention for its life-threatening economic and climate impact on Earth. Therefore, this study aims to estimate the joint distribution function (EFXY) of both daily solar radiation (S) and daily maximum temperature (T) along with the Markov property. In this study, three-parameter distributions have been utilized with S and T, which are generalized extreme value (GEV) and Weibull (W-3P), respectively. Each of these parameters and the joint distribution function (𝐹(𝑋, 𝑌)) have been estimated. Four real data of S and T in Queensland, Australia during two consecutive years are applied. The method of maximum likelihood estimation (MLE) is applied on the proposed distributions of S and T to estimate their parameters, which was validated using Goodness-of-Fit tests. In addition, the logarithmic (LFXY) model and the multi-regression model (MFXY) for 𝐹(𝑋, 𝑌) are obtained. The results have been compared and the EFXY and LFXY are found to be non-equivalently, while the EFXY and MFXY are equivalent and homogeneous, confirming the validity of the joint distribution function estimate with the least error. Thus, the climate change probabilities are more accurately predictable by knowing both X and Y or by knowing both 𝐹(𝑋) and 𝐹(𝑌) with minimal error.

Digital Object Identifier (DOI)

https://dx.doi.org/10.18576/jsap/130117

Recommended Citation

M. El Genidy, M.; A. Hebeshy, E.; S. El-Desouky, B.; and S. Gomaa, R. (2024) "Forecasting the Climate Change through the Distributions of Solar Radiation and Maximum Temperature," Journal of Statistics Applications & Probability: Vol. 13: Iss. 1, Article 17.
DOI: https://dx.doi.org/10.18576/jsap/130117
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol13/iss1/17