DocumentCode :
1914490
Title :
Boundary Effects in Network Measures of Spatially Embedded Networks
Author :
Rheinwalt, Aljoscha ; Marwan, Norbert ; Kurths, J. ; Werner, Philipp ; Gerstengarbe, Friedrich-Wilhelm
Author_Institution :
Potsdam Inst. for Climate Impact Res., Potsdam, Germany
fYear :
2012
fDate :
10-16 Nov. 2012
Firstpage :
500
Lastpage :
505
Abstract :
In studies of spatially confined networks, network measures can lead to false conclusions since most measures are boundary-affected. This is especially the case if boundaries are artificial and not inherent in the underlying system of interest (e.g. borders of countries). An analytical estimation of boundary effects is not trivial due to the complexity of measures. The straightforward approach we propose here is to use surrogate networks that provide estimates of boundary effects in graph statistics. This is achieved by using spatially embedded random networks as surrogates that have approximately the same link probability as a function of spatial link lengths. The potential of our approach is demonstrated for an analysis of spatial patterns in characteristics of regional climate networks. As an example networks derived from daily rainfall data and restricted to the region of Germany are considered. Results for the region of Germany are compared to results from subregions of that region.
Keywords :
Internet; complex networks; graph theory; statistics; Germany; Internet; boundary effects; graph statistics; rainfall data; regional climate networks; spatial embedded network; spatial link lengths; boundary effects; climate; network measures; networks; spatial embedding;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
High Performance Computing, Networking, Storage and Analysis (SCC), 2012 SC Companion:
Conference_Location :
Salt Lake City, UT
Print_ISBN :
978-1-4673-6218-4
Type :
conf
DOI :
10.1109/SC.Companion.2012.72
Filename :
6495854
Link To Document :
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