Fractal Analysis of Climate and Environmental Systems

A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Complexity".

Deadline for manuscript submissions: closed (16 February 2024) | Viewed by 1725

Special Issue Editors


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Guest Editor
School of Mathematics, Shandong University, Jinan 250100, China
Interests: big data; fractals; climate change; environmental evolution
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Guest Editor
Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA
Interests: harmonic analysis on fractals; Laplacians on fractals; Brownian motion on fractals; geometry of fractals; iterated function systems; fractal stochastic processes; stochastic analysis; applications to physics; diffusion on fractals
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
Wolfson College, Oxford University, Oxford OX2 6UD, UK
Interests: statistical models; climate change; mathematical biology; marine ecosystem
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The large-scale impacts of small-scale fluctuations in climate and environmental systems are often underestimated. The well-established butterfly effect has demonstrated that the flapping of a butterfly's wings in one part of the world can cause a hurricane on the other side of the globe. Fractal analysis can extract long-term persistence and self-similarity patterns within complex climate and environmental systems over a wide range of size, spatial, and temporal scales. These fractal features can help to advance our understanding of environmental processes and have vital implications for climate simulation and prediction. In this Special Issue, we aim to collect recent results reflecting the development and application of monofractal/multifractal techniques in order to analyze, mine, diagnose, simulate and predict climate and environmental systems.

Prof. Dr. Zhihua Zhang
Prof. Dr. Palle Jorgensen
Prof. Dr. M. James C. Crabbe
Guest Editors

Manuscript Submission Information

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Keywords

Theory and techniques in the fractal mining of big earth data;

fractal geometry of nature, including river, coastline, cloud, mountain and sea waves;

multiscale fractal features of environmental processes;

fractal structure and the butterfly effect in climate change;

fractal prediction models of extreme climates and natural disasters;

fractal growth and urban planning;

fractal-like patterns of sustainability

Published Papers (1 paper)

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Research

17 pages, 5876 KiB  
Article
Fractal Features in Terrain Restoration of Jiuzhai Valley, a World Natural Heritage Site in China
by Zan Zou, Yue Du and Huixing Song
Fractal Fract. 2023, 7(12), 863; https://doi.org/10.3390/fractalfract7120863 - 05 Dec 2023
Viewed by 1415
Abstract
Jiuzhai Valley, a World Natural Heritage Site, was significantly damaged by an earthquake in 2017. However, case studies on the restoration of World Natural Heritage sites are lacking. This study aimed to use the box-counting method to analyze fractal characteristics of the terrain [...] Read more.
Jiuzhai Valley, a World Natural Heritage Site, was significantly damaged by an earthquake in 2017. However, case studies on the restoration of World Natural Heritage sites are lacking. This study aimed to use the box-counting method to analyze fractal characteristics of the terrain in Shuzheng Valley. Research data were used to conduct artificial intervention restoration of the earthquake-damaged terrain. Our results showed that (i) the travertine terrain shows self-similarity at different scales. The fractal dimension was related to terrain complexity: the more complex the terrain, the higher the fractal-dimension value; (ii) a combined form of fractal generator elements at the same scale was related to terrain complexity—differences in the spatial combination of the fractal generator elements can be compared based on fractal dimension; and (iii) the newly restored dam terrain also showed fractal characteristics whose spatial combination form was similar to that of the surrounding terrain. The complexity of the terrain’s fractal element combination may be related to the influence of surrounding environmental factors and the different ecological functional requirements. This study provides basic data for the near natural restoration of the Sparkling Lake travertine terrain after an earthquake and proposes new concepts and strategies for restoring World Natural Heritage Site terrains. Full article
(This article belongs to the Special Issue Fractal Analysis of Climate and Environmental Systems)
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