Universität zu Köln

Fan, Jingfang, Meng, Jun and Saberi, Abbas Ali (2019). Percolation framework of the Earth's topography. Phys. Rev. E, 99 (2). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2470-0053

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Abstract

Self-similarity and long-range correlations are the remarkable features of the Earth's surface topography. Here we develop an approach based on percolation theory to study the geometrical features of Earth. Our analysis is based on high-resolution, 1 arc min, ETOPO1 global relief records. We find some evidence for abrupt transitions that occurred during the evolution of the Earth's relief network, indicative of a continental/cluster aggregation. We apply finite-size-scaling analysis based on a coarse-graining procedure to show that the observed transition is most likely discontinuous. Furthermore, we study the percolation on two-dimensional fractional Brownian motion surfaces with Hurst exponent H as a model of long-range correlated topography, which suggests that the long-range correlations may play a key role in the observed discontinuity on Earth. Our framework presented here provides a theoretical model to better understand the geometrical phase transition on Earth, and it also identifies the critical nodes that will be more exposed to global climate change in the Earth's relief network.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Fan, Jingfang UNSPECIFIED UNSPECIFIED UNSPECIFIED Meng, Jun UNSPECIFIED UNSPECIFIED UNSPECIFIED Saberi, Abbas Ali UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-156949
DOI:	10.1103/PhysRevE.99.022304
Journal or Publication Title:	Phys. Rev. E
Volume:	99
Number:	2
Date:	2019
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2470-0053
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language EXPLOSIVE PERCOLATION; COMPLEX NETWORKS; IDENTIFICATION Multiple languages Physics, Fluids & Plasmas; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/15694