• Title/Summary/Keyword: Spatial autocorrelation

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Probabilistic Stability Analysis of Slopes by the Limit Equilibrium Method Considering Spatial Variability of Soil Property (지반물성의 공간적 변동성을 고려한 한계평형법에 의한 확률론적 사면안정 해석)

  • Cho, Sung-Eun;Park, Hyung-Choon
    • Journal of the Korean Geotechnical Society
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    • v.25 no.12
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    • pp.13-25
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    • 2009
  • In this paper, a numerical procedure of probabilistic slope stability analysis that considers the spatial variability of soil properties is presented. The procedure extends the deterministic analysis based on the limit equilibrium method of slices to a probabilistic approach that accounts for the uncertainties and spatial variation of the soil parameters. Making no a priori assumptions about the critical failure surface like the Random Finite Element Method (RFEM), the approach saves the amount of solution time required to perform the analysis. Two-dimensional random fields are generated based on a Karhunen-Lo$\grave{e}$ve expansion in a fashion consistent with a specified marginal distribution function and an autocorrelation function. A Monte Carlo simulation is then used to determine the statistical response based on the random fields. A series of analyses were performed to verify the application potential of the proposed method and to study the effects of uncertainty caused by the spatial heterogeneity on the stability of slope. The results show that the proposed method can efficiently consider the various failure mechanisms caused by the spatial variability of soil property in the probabilistic slope stability assessment.

A Study on Spatial Statistical Perspective for Analyzing Spatial Phenomena in the Framework of GIS: an Empirical Example using Spatial Scan Statistic for Detecting Spatial Clusters of Breast Cancer Incidents (공간현상 분석을 위한 GIS 기반의 공간통계적 접근방법에 관한 고찰: 공간 군집지역 탐색을 위한 공간검색통계량의 실증적 사례분석)

  • Lee, Gyoung-Ju;Kweon, Ihl
    • Spatial Information Research
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    • v.20 no.1
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    • pp.81-90
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    • 2012
  • When analyzing geographical phenomena, two properties need to be considered. One is the spatial dependence structure and the other is a variation or an uncertainty inhibited in a geographic space. Two problems are encountered due to the properties. Firstly, spatial dependence structure, which is conceptualized as spatial autocorrelation, generates heterogeneous geographic landscape in a spatial process. Secondly, generic statistics, although suitable for dealing with stochastic uncertainty, tacitly ignores location information im plicit in spatial data. GIS is a versatile tool for manipulating locational information, while spatial statistics are suitable for investigating spatial uncertainty. Therefore, integrating spatial statistics to GIS is considered as a plausible strategy for appropriately understanding geographic phenomena of interest. Geographic hot-spot analysis is a key tool for identifying abnormal locations in many domains (e.g., criminology, epidemiology, etc.) and is one of the most prominent applications by utilizing the integration strategy. The article aims at reviewing spatial statistical perspective for analyzing spatial processes in the framework of GIS by carrying out empirical analysis. Illustrated is the analysis procedure of using spatial scan statistic for detecting clusters in the framework of GIS. The empirical analysis targets for identifying spatial clusters of breast cancer incidents in Erie and Niagara counties, New York.

Use of Space-time Autocorrelation Information in Time-series Temperature Mapping (시계열 기온 분포도 작성을 위한 시공간 자기상관성 정보의 결합)

  • Park, No-Wook;Jang, Dong-Ho
    • Journal of the Korean association of regional geographers
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    • v.17 no.4
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    • pp.432-442
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    • 2011
  • Climatic variables such as temperature and precipitation tend to vary both in space and in time simultaneously. Thus, it is necessary to include space-time autocorrelation into conventional spatial interpolation methods for reliable time-series mapping. This paper introduces and applies space-time variogram modeling and space-time kriging to generate time-series temperature maps using hourly Automatic Weather System(AWS) temperature observation data for a one-month period. First, temperature observation data are decomposed into deterministic trend and stochastic residual components. For trend component modeling, elevation data which have reasonable correlation with temperature are used as secondary information to generate trend component with topographic effects. Then, space-time variograms of residual components are estimated and modelled by using a product-sum space-time variogram model to account for not only autocorrelation both in space and in time, but also their interactions. From a case study, space-time kriging outperforms both conventional space only ordinary kriging and regression-kriging, which indicates the importance of using space-time autocorrelation information as well as elevation data. It is expected that space-time kriging would be a useful tool when a space-poor but time-rich dataset is analyzed.

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Analysis of Spatial Characteristics of Vacant House in Consideration of the Modifiable Areal Unit Problem (MAUP) - Focused on the Old Downtowns of Busan Metropolitan City - (공간단위 수정가능성 문제(MAUP)를 고려한 빈집 발생지역의 특성 분석 - 부산광역시 원도심 일대를 대상으로 -)

  • SEOL, Yu-Jeong;KIM, Ji-Yun;KIM, Ho-Yong
    • Journal of the Korean Association of Geographic Information Studies
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    • v.25 no.1
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    • pp.120-132
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    • 2022
  • Recently, the rapid increase in vacant houses in urban areas has caused various problems such as worsening urban landscape, causing safety accidents, crime accidents, and hygiene problems. According to the Statistics Korea Future Population Estimation results, the growth rate of Korean population and households is expected to continue to decrease, which is likely to lead to an increase in the occurrence of vacant houses. If the problem caused by the occurrence of vacant houses is neglected, it causes not only a physical decline such as a deterioration of the residential environment but also a social and economic decline. In order to solve this problem, it is necessary to grasp the spatial distribution characteristics of vacant houses at the local level considering the existence of regional characteristics and spatial influence. Therefore, in this study, in order to measure global spatial autocorrelation, the analysis was conducted centering on the old downtown area of Busan, where there are many vacant houses through Moran's I and Geographically Weighted Regression(GWR). In addition, the distribution of vacant houses in different spatial units in Eup_Myeon_Dong and Census was analyzed to evaluate the possibility of Modifiable Areal Unit Problem(MAUP), which differ in the results of spatial analysis as the spatial analysis units change. As a result of the analysis, the occurrence of vacant houses by Eup_Myeon_Dong in the old downtown area of Busan had spatial heterogeneity, and the spatial analysis results of vacant houses were different as the spatial analysis units were different. Accordingly, in order to understand the exact distribution characteristics of vacant house occurrence, spatial dimensions using the GWR model should be considered, and it is suggested that consideration of the MAUP is necessary.

A Study on Dispersed Concentration pattern of Biotechnology Companies Location: Case of Pharmaceutical enterprises (바이오기업의 분산적 집중형 입지패턴에 관한 연구: 제약기업을 사례로)

  • Choi, Yu-Mi;Kang, Myoung-Gu
    • Journal of the Economic Geographical Society of Korea
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    • v.14 no.4
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    • pp.671-683
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    • 2011
  • The technical development of transportation and communication increases freedom of location choice. This higher freedom allows to company can pursues bigger profit than before. Company's separated spatial configurations tend to go to most optimal location, so some places showed unexpected agglomeration. This study conducted to prove "dispersed concentration" for specific example, pharmaceutical enterprises, in real business world. As a result, separation of spatial configuration clearly observed as product output goes bigger and R&D's depth goes deeper. And spatial concentration of each function was found. Most headquarters are located in Seoul, R&D centers make agglomeration at some spaces. Plants' location concentrated until 1990s, but, in 2000s, plants expand out of metropolitan area.

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A Generalized Procedure to Extract Higher Order Moments of Univariate Spatial Association Measures for Statistical Testing under the Normality Assumption (일변량 공간 연관성 측도의 통계적 검정을 위한 일반화된 고차 적률 추출 절차: 정규성 가정의 경우)

  • Lee, Sang-Il
    • Journal of the Korean Geographical Society
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    • v.43 no.2
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    • pp.253-262
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    • 2008
  • The main objective of this paper is to formulate a generalized procedure to extract the first four moments of univariate spatial association measures for statistical testing under the normality assumption and to evaluate the viability of hypothesis testing based on the normal approximation for each of the spatial association measures. The main results are as follows. First, predicated on the previous works, a generalized procedure under the normality assumption was derived for both global and local measures. When necessary matrices are appropriately defined for each of the measures, the generalized procedure effectively yields not only expectation and variance but skewness and kurtosis. Second, the normal approximation based on the first two moments for the global measures fumed out to be acceptable, while the notion did not appear to hold to the same extent for their local counterparts mainly due to the large magnitude of skewness and kurtosis.

Locational Characteristics of Performing Art Industries and the Linkages with the Local Economic Landscape (공연예술 산업의 입지 특성과 지역 경제경관의 연계성)

  • Lee, Sooyoung;Lee, Keumsook
    • Journal of the Economic Geographical Society of Korea
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    • v.19 no.3
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    • pp.437-456
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    • 2016
  • The purpose of this study is to understand the locational characteristics of performing art industries and to investigate the linkages with local economy. For the purpose, we examine the spatial concentration of cultural and artistic resources in Korea first, and than focus on Seoul where the resources of performing art industries are concentrated to the utmost. To distinguish the distribution aspect and locational characteristics of performing art industries, we apply the Kernel density analysis and LISA (Local Indicator of Spatial Association) on the address data of performing art theater, gallery, and movie theater. In contrast to galleries and movie theaters. the spatial distribution pattern of performing art theaters reveals a unique local cluster centered on the Daehakro area. We confirm that the Daehakro area constitutes a performing art industry cluster in their dense distribution of various related activities making up the value chain of the performing art industry. Multiple regression analysis probes the related economic activities to explain the distribution of performing art theaters as well as the linkages with the local economic landscape.

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A Study on the Identification of Center of Seoul Metropolitan Area and Methodology Based on the Commuting (통근통행에 기반한 수도권 중심지 설정과 방법론 연구)

  • Kim, Hyeoncheol;An, Youngsoo
    • Journal of the Korean Regional Science Association
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    • v.34 no.2
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    • pp.49-64
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    • 2018
  • In this study, we propose a methodology of center setting based on commuter traffic in the Seoul metropolitan area, and compared with the center setting method in previous studies. For this purpose, the center was derived by performing factor analysis and spatial autocorrelation analysis using the interregional commuting traffic for the administrative districts of the metropolitan area. In addition, we compared the results of applying each methodology of previous studies by classifying the methodologies into four categories: single index - based, multiple index - based, nonparametric, and spatial statistical method. As a result, some similar centers including major centers in Seoul were derived, but different results were obtained for each methodology and it was found that there were limitations in setting the multi sub-centers. Through this study, it can be reaffirmed that it is necessary to establish and supplement the spatial structure plan based on the new center system in the situation where the seoul metropolitan area of the polycentric spatial structure is now being discussed in the context of the urban realms.

An Analysis on the Change Factors and the Spatial Pattern of the Housing Market Structure (주택시장의 구조변화요인과 공간적 패턴 분석)

  • Kim, Jung Hee
    • Journal of Korean Society for Geospatial Information Science
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    • v.23 no.1
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    • pp.39-45
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    • 2015
  • The housing market is transformed by a variety of socio-economic characteristics, also appeared differently according to regional characteristics. This study aims to draw out the change factors influencing on the housing market structure and to analyze the drawn factors' distribution pattern by area. For this purpose, First, targeting 251 areas in the units of city, county and districts nationwide, this study drew out demographic, socio-economic variables influencing on the housing market structure for 5 years ranging 2005 to 2010. For that, the factor analysis was conducted. Second, this study grasped the change factors of the housing market structure's spatial patterns using the kriging method, a spatial statistical method. Third, this study used the Moran I, one of spatial autocorrelation analysis methods in order to grasp whether the factors had statistically significant concentration or dispersion or showed a random distribution pattern.

Spatial Distribution Pattern of the Populations of Camellia japonica in Busan (부산 사하구 동백나무 집단의 공간적 분포 양상)

  • Kang, Man Ki;Huh, Man Kyu
    • Journal of Life Science
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    • v.24 no.8
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    • pp.813-819
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    • 2014
  • The spatial distribution of geographical distances at five natural populations of Camellia japonica in Busan, Korea was studied. The four plots (Mollundae, Gadeok-do, Du-do, and Jwiseum) of C. japonica were uniformly distributed in the forest community and only one plot (Amnam-dong) was aggregately distributed in the forest community. Morisita index is related to the patchiness index showed that the plot $20m{\times}50m$ had an overly steep slope when the area was larger than $20m{\times}20m$, which indicated that the degree of aggregation increased significantly with increasing quadrat sizes, while the patchiness indices did not change from the plot $5m{\times}10m$ to $10m{\times}10m$. The spatial structure was quantified by Moran's I, a coefficient of spatial autocorrelation. Ten of the significant values (76.9%) were positive, indicating similarity among individuals in the first 4 distance classes (80 m), i.e., pairs of individuals with dissimilarity characteristics can separate by more than 100 m.