Long-range cross-correlation between urban impervious surfaces and land surface temperatures

doi:10.1007/s11707-015-0512-9

Front. Earth Sci.

2016, Vol. 10

Issue (1) : 117-125 https://doi.org/10.1007/s11707-015-0512-9

RESEARCH ARTICLE

Long-range cross-correlation between urban impervious surfaces and land surface temperatures

Qin NIE^1,^*(

),Jianhua XU²,Wang MAN¹

1. Department of Spatial Information Science and Engineering, Xiamen University of Technology, Xiamen 361024, China
2. The Research Center for East-West Cooperation in China, The Key Laboratory of GIScience, Ministry of Education of China, East China Normal University, Shanghai 200241, China

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Abstract

The thermal effect of urban impervious surfaces (UIS) is a complex problem. It is thus necessary to study the relationship between UIS and land surface temperatures (LST) using complexity science theory and methods. This paper investigates the long-range cross-correlation between UIS and LST with detrended cross-correlation analysis and multifractal detrended cross-correlation analysis, utilizing data from downtown Shanghai, China. UIS estimates were obtained from linear spectral mixture analysis, and LST was retrieved through application of the mono-window algorithm, using Landsat Thematic Mapper and Enhanced Thematic Mapper Plus data for 1997–2010. These results highlight a positive long-range cross-correlation between UIS and LST across People’s Square in Shanghai. LST has a long memory for a certain spatial range of UIS values, such that a large increment in UIS is likely to be followed by a large increment in LST. While the multifractal long-range cross-correlation between UIS and LST was observed over a longer time period in the W–E direction (2002–2010) than in the N–S (2007–2010), these observed correlations show a weakening during the study period as urbanization increased.

Keywords urban impervious surface land surface temperature long-range cross-correlation Shanghai

Corresponding Author(s): Qin NIE

Just Accepted Date: 08 April 2015 Online First Date: 20 May 2015 Issue Date: 25 December 2015

Cite this article:

Qin NIE,Jianhua XU,Wang MAN. Long-range cross-correlation between urban impervious surfaces and land surface temperatures[J]. Front. Earth Sci., 2016, 10(1): 117-125.

URL:

https://academic.hep.com.cn/fesci/EN/10.1007/s11707-015-0512-9
https://academic.hep.com.cn/fesci/EN/Y2016/V10/I1/117

Fig.1 Map of the study area.

Fig.2 The RMS frequency distribution and spatial image.

Fig.3 Log–log plots of the detrended fluctuations F²(s) versus scale s for the N–S profile.

Fig.4 Log–log plots of the detrended fluctuations F²(s) versus scale s for the W–E profile.

Fig.5 Dependence of the mass exponent function τ_xy(q) with respect to the order q on the W–E profile. The plots for 2007 and 2010 are shifted upward by 1 and 2 units for clarity, respectively.

Fig.6 Dependence of the mass exponent function τ_xy(q) with respect to the order q on the N–S profile. The plots for 2010 are shifted upward by 1 unit for clarity.

Fig.7 Multifractal spectra of the long-range cross-correlation on the W–E profile.

Fig.8 Multifractal spectra of the long-range cross-correlation on the N–S profile.

Tab.1 The parameter of multifractal spectra

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