Version 1
: Received: 27 June 2023 / Approved: 28 June 2023 / Online: 28 June 2023 (12:46:28 CEST)
How to cite:
Fu, M. Characterizing the Spatio-Temporal Variations of Urban Growth with Multifractal Spectrums. Preprints2023, 2023062035. https://doi.org/10.20944/preprints202306.2035.v1
Fu, M. Characterizing the Spatio-Temporal Variations of Urban Growth with Multifractal Spectrums. Preprints 2023, 2023062035. https://doi.org/10.20944/preprints202306.2035.v1
Fu, M. Characterizing the Spatio-Temporal Variations of Urban Growth with Multifractal Spectrums. Preprints2023, 2023062035. https://doi.org/10.20944/preprints202306.2035.v1
APA Style
Fu, M. (2023). Characterizing the Spatio-Temporal Variations of Urban Growth with Multifractal Spectrums. Preprints. https://doi.org/10.20944/preprints202306.2035.v1
Chicago/Turabian Style
Fu, M. 2023 "Characterizing the Spatio-Temporal Variations of Urban Growth with Multifractal Spectrums" Preprints. https://doi.org/10.20944/preprints202306.2035.v1
Abstract
Urban morphology exhibits fractal characteristics, which can be described by multifractal scaling. Multifractal parameters under positive moment orders primarily capture information about cen-tral areas with relatively stable growth, while those under negative moment orders mainly reflect information about marginal areas with more active growth. However, effectively utilizing mul-tifractal spectrums to uncover the spatio-temporal variations of urban growth remains a challenge. To addresses this issue, this paper proposes a multifractal measurement by combining theoretical principles and empirical analysis. To capture the difference between growth stability in central areas and growth activity in marginal areas, an index based on generalized correlation dimension Dq is defined. This index takes the growth rate of Dq at extreme negative moment order as the numerator, and that at extreme positive moment order as the denominator. During the stable stage of urban growth, the index demonstrates a consistent pattern over time. While during the active stage, the index may exhibit abnormal fluctuations or even jumps. This indicates that the index can reveal spatio-temporal information about urban evolution that cannot be directly observed through multifractal spectrums alone. By integrating this index with multifractal spectrums, we can more comprehensively characterize the evolutionary characteristics of urban spatial structure.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
