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Modelling temperature extremes in the Limpopo province: bivariate time-varying threshold excess approach
Daniel Maposa1, Anna M Seimela1, Caston Sigauke2
1Department of Statistics and Operations Research, University of Limpopo, Private Bag X1106, Sovenga Polokwane, South Africa.
This study models extreme temperature dependence in South Africa using bivariate conditional extremes and time-varying thresholds. It reveals significant positive and negative temperature dependencies between meteorological stations, crucial for climate change adaptation.
Area of Science:
- Extreme value theory
- Climate science
- Meteorology
Background:
- Assessing multivariate extremal dependence and threshold selection are critical challenges in extreme value theory.
- Extreme temperatures and heat waves pose significant economic and health risks, particularly in developing countries like South Africa.
- Climate change necessitates advanced methods for understanding and predicting extreme weather events.
Purpose of the Study:
- To apply bivariate conditional extremes modelling with a time-varying threshold to analyze extreme temperature dependence in South Africa's Limpopo province.
- To capture climate change effects on extreme temperature data.
- To model extremal dependence of maximum temperatures across four meteorological stations.
Main Methods:
- Utilized bivariate conditional extremes modelling.
- Implemented a time-varying threshold approach.
- Analyzed monthly maximum temperature data from Mara, Messina, Polokwane, and Thabazimbi stations (1994-2009).
Main Results:
- Identified significant positive and negative extremal temperature dependencies between pairs of meteorological stations.
- Found strong positive dependence of Thabazimbi's extreme temperatures on Mara's.
- Observed strong negative dependence of Polokwane's extreme temperatures on Messina's.
Conclusions:
- The combined bivariate conditional extremes and time-varying threshold model effectively captures extremal temperature dependence.
- Findings provide crucial information for meteorologists, climatologists, agriculturalists, and energy sector planners in South Africa.
- The study highlights the importance of understanding localized temperature extremes in the context of climate change.
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