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Frontiers of Earth Science

ISSN 2095-0195

ISSN 2095-0209(Online)

CN 11-5982/P

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Front. Earth Sci.    2024, Vol. 18 Issue (3) : 554-564    https://doi.org/10.1007/s11707-022-1080-4
Spatial statistical analysis of earthquakes in the Fethiye - Burdur fault zone
Kerem HEPDENIZ()
Department of Architecture and Urban Planning, Bucak EG Technical Sciences and Vocational School of Higher Education, Mehmet Akif Ersoy University, Burdur 15030, Turkey
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Abstract

Turkey is located in the Alpine-Himalayan seismic zone. The Anatolian plate has witnessed very severe and destructive earthquakes both in the past and today. In this study, statistical analyses of earthquakes that occurred between 1914 and 2019 along the Fethiye-Burdur fault zone, which is an active line, were conducted using geographic information systems. Analyses of standard distance, standard deviational eclipse, mean center, and median center were conducted to determine the geographic distributions of epicenters with a magnitude value of 3.5 and above. Quadrat and Average Nearest Neighbor analyses were used to reveal the spatial pattern. Anselin Local Moran I and Getis Ord Gi* method were used to determining where the earthquake epicenters are clustered locally. Kernel Density analyses were conducted to measure earthquake epicenters’ density. Quadrat analysis, Average Nearest Neighbor, Global Moran’s I, and Getis - Ord General G indices demonstrated that earthquakes are clustered in certain regions and are related to each other positionally. Anselin Moran’s I regional analyses revealed that high values were clustered in the West of Burdur city center and the district of Yeşilova, and similar results were obtained in the Getis Ord Gi* method.
Keywords earthquake      Geographic Information Systems      spatial analysis      Fethiye-Burdur fault zone      Turkey     
Corresponding Author(s): Kerem HEPDENIZ   
Online First Date: 23 July 2024    Issue Date: 29 September 2024
 Cite this article:   
Kerem HEPDENIZ. Spatial statistical analysis of earthquakes in the Fethiye - Burdur fault zone[J]. Front. Earth Sci., 2024, 18(3): 554-564.
 URL:  
https://academic.hep.com.cn/fesci/EN/10.1007/s11707-022-1080-4
https://academic.hep.com.cn/fesci/EN/Y2024/V18/I3/554
Fig.1  Study area and population distribution.
Fig.2  Spatial distribution of earthquakes.
Magnitude Earthquake Total % of earthquakes Minimum magnitude Maximum magnitude Mean magnitude Standard deviation
3.5 ≤ M ≤ 4 854 69.2 3.5 4 3.65 0.15
4.1 ≤ M ≤ 5 324 26.25 4.1 5 4.52 0.29
5.1 ≤ M ≤ 6 52 4.2 5.1 6 5.38 0.26
6.1 ≤ M ≤ 7.1 4 0.32 6.1 7.1 6.7 0.43
3.5 ≤ M ≤ 7.1 1234 100 3.5 7.1 3.96 0.55
Tab.1  Descriptive statistics of earthquakes that occurred in the Fethiye Burdur fault zone between 1914 and 2019
Magnitude (M) Quadrat Analysis
Average Variance VTMR Pattern
3.5 ≤ M ≤ 4 1.19 4.30 3.59 Clustered
4.1 ≤ M ≤ 5 0.55 1.73 3.13 Clustered
5.1 ≤ M ≤ 6 0.10 0.14 1.36 Clustered
6.1 ≤ M ≤ 7.1 0.009 0.009 0.10 Regular
3.5 ≤ M ≤ 7.1 1.83 8.57 4.68 Clustered
Tab.2  Quadrat Analysis
Magnitude (M) Average Nearest Neighbor
Ratio z statistic p-value Pattern
3.5 ≤ M ≤ 4 0.73 −14.84 0.00 Clustered
4.1 ≤ M ≤ 5 0.71 −10.54 0.00 Clustered
5.1 ≤ M ≤ 6 0.89 −1.73 0.08 Clustered
6.1 ≤ M ≤ 7.1 1.67 3.14 0.002 Dispersed
3.5 ≤ M ≤ 7.1 0.72 −18.61 0.00 Clustered
Tab.3  Average Nearest Neighbor
Magnitude (M) Global Moran’s I
Index z statistic p-value Pattern
3.5 ≤ M ≤ 4 0.12 1.87 0.06 Clustered
4.1 ≤ M ≤ 5 0.54 8.00 0.00 Clustered
5.1 ≤ M ≤ 6 0.11 0.29 0.77 Random
6.1 ≤ M ≤ 7.1 0.30 0.83 0.41 Random
3.5 ≤ M ≤ 7.1 1.28 29.87 0.00 Clustered
Tab.4  Global Moran’s I
Magnitude (M) Getis Ord General G
Index z statistic p-value Pattern
3.5 ≤ M ≤ 4 0.0007 −2.59 0.01 Low-clusters
4.1 ≤ M ≤ 5 0.0031 3.60 0.0003 High-clusters
5.1 ≤ M ≤ 6 0.002 1.18 0.24 Random
6.1 ≤ M ≤ 7.1 0.000024 1.45 0.15 Random
3.5 ≤ M ≤ 7.1 0.0008 5.29 0.00 High-clusters
Tab.5  Getis Ord General G
Fig.3  Anselin Local Moran’s I cluster analysis.
Fig.4  Getis-Ord Gi* hot spot analysis.
Fig.5  Kernel density analysis (a) for all magnitudes, (b) between M = 3.5–4, (c) between M = 4.1–5, (d) between M = 5.1–6, and (e) between M = 6.1–7.1.
Fig.6  Mean center, median center, standard distance, and standard deviational ellipses of earthquakes. (a) for all magnitudes, (b) between M = 3.5–4, (c) between M = 4.1–5, (d) between M = 5.1–6 and (e) between M = 6.1–7.1.
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