Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Non-Integer Dimension of Seasonal Land Surface Temperature (LST)

Version 1 : Received: 17 April 2023 / Approved: 17 April 2023 / Online: 17 April 2023 (07:01:24 CEST)

A peer-reviewed article of this Preprint also exists.

Azizi, S.; Azizi, T. Noninteger Dimension of Seasonal Land Surface Temperature (LST). Axioms 2023, 12, 607. Azizi, S.; Azizi, T. Noninteger Dimension of Seasonal Land Surface Temperature (LST). Axioms 2023, 12, 607.

Abstract

During few last years, climate change including global warming which is attributed to human activities and also its long-term adverse effects on the planet’s functions have been identified as the most challenging discussion topics which have arisen many concerns and efforts to find the possible solutions. Since the warmth arising from Earth’s landscapes affects the world’s weather and climate patterns, we decided to study the changes in the Land Surface Temperature (LST) patterns in different seasons through non-linear methods. Here, we particularly want to estimate the non-integer dimension and fractal structure of the land surface temperature. For this study, the (LST) data has been obtained during the daytime by the Moderate Resolution Imaging Spectroradiometer (MODIS) on NASA’s Terra satellite. Depending on what time of the year data has been collected, temperatures change in different ranges. Since equatorial regions remain warm, and Antarctica and Greenland remain cold, and also because altitude affects temperature, we selected Riley County in the U.S. state of Kansas, which does not belong to any of this type locations and we are interested to observe the seasonal changes in temperature in this county. The results of the present study show that the Land Surface Temperature (LST) belongs to the class of fractal process with non-integer dimension.

Keywords

Land Surface Temperature; Climate Change; Fractal Geometry; Discrete Wavelet Transform

Subject

Computer Science and Mathematics, Geometry and Topology

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