Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Application of Shannon Entropy in Assessing Changes in Precipitation Conditions and Temperature Based on Long-Term Sequences Using the Bootstrap Method

Version 1 : Received: 2 August 2023 / Approved: 2 August 2023 / Online: 3 August 2023 (10:43:38 CEST)
Version 2 : Received: 29 February 2024 / Approved: 1 March 2024 / Online: 1 March 2024 (05:45:06 CET)

How to cite: TWARÓG, B. S. Application of Shannon Entropy in Assessing Changes in Precipitation Conditions and Temperature Based on Long-Term Sequences Using the Bootstrap Method. Preprints 2023, 2023080260. https://doi.org/10.20944/preprints202308.0260.v1 TWARÓG, B. S. Application of Shannon Entropy in Assessing Changes in Precipitation Conditions and Temperature Based on Long-Term Sequences Using the Bootstrap Method. Preprints 2023, 2023080260. https://doi.org/10.20944/preprints202308.0260.v1

Abstract

In this article, the Shannon entropy measure was used to evaluate the change in precipitation and temperature conditions. Due to the short, low-volume sequences of analyzed precipitation and temperature data, a bootstrap method was used in the procedure for calculating Shannon entropy. The analysis used minimum and maximum values of monthly precipitation totals and average monthly temperatures for 377 catchments distributed across the globe. 110-year data sequences from 1901 to 2010 were analyzed. Entropy values for the estimated parameters of the generalized extreme value distribution (GEV) were calculated for the accepted data. Entropy value calculations were performed for the left-hand constraint, based on minimum values, and for the right-hand constraint, based on maximum values. Based on the analysis of precipitation and temperature sequences, trend forms were identified for the left and right Shannon entropy values. This made it possible to obtain information on the directions of changes occurring in the area of minimum and maximum values in the field of monthly precipitation and average temperatures in the analyzed catchments. The study showed the existence of Shannon entropy trends. Evaluation of entropy trends for precipitation and temperature sequences was performed using non-parametric tests. Mann -Kendall tests at the 5% significance level were used in the trend analyses. The Pettitt test was performed to determine the point of change in trend for precipitation and temperature data. The analysis performed was supported by graphical presentations.

Keywords

Shannon entropy; bootstrap method; GPCC data; NOAA data; monthly precipitation; average temperature; climate trends; Mann Kendall test; Pettitt test

Subject

Environmental and Earth Sciences, Environmental Science

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