• Title/Summary/Keyword: spatial statistics

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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.

A Study on Building Extraction from LiDAR Data Using LISA (LISA를 이용한 LIDAR 데이터로부터 건물 추출에 관한 연구)

  • Byun, Young-Gi;Lee, Jeong-Ho;Son, Jeong-Hoon;Yu, Ki-Yun
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.24 no.4
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    • pp.335-341
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    • 2006
  • This paper aims at developing an efficient method that extracts building using local spatial association of raw LiDAR data without setting up empirical variables such as a minimum building area, and applying the method to survey data to evaluate the efficiency of that. To do this, LISA(Local Indicatiors of Spatial Association) statistics are used which reflect local variations that can be appeared in the research area. It can be also a preprocess that detects spatial outliers through the significance test of LISA statistics and interpolate using kernel estimation. Boundaries of buildings as well as buildings can be extracted based on quadrant of Moran Scatterplot. Experimental results show that the proposed method is promising in extracting buildings from LiDAR data automatically.

A spatial panel regression model for household final consumption expenditure based on KTX effects (공간패널모형을 이용한 KTX 개통이 지역소비에 미친 영향 분석)

  • Na, Young;Kim, Yongku
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.5
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    • pp.1147-1154
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    • 2016
  • Impact of Korea train express (KTX) on the regional economy in Korea has been studied by many researchers. Current research is limited in the lack of quantitative research using a statistical model to study the effect of KTX on regional economy. This paper analyses the influence of KTX to the household final consumption expenditure, which is one of important regional economic index, using spatial panel regression model. The spatial structure is introduced through spatial autocorrelation matrix using adjacency of KTX connection. The result shows a significant effect of Korea train express on the regional economy.

Imputation Method using the Space-Time Model in Sample Survey (공간-시계열 모형을 이용한 결측대체 방법에 대한 연구)

  • Lee, Jin-Hee;Shin, Key-Il
    • The Korean Journal of Applied Statistics
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    • v.20 no.3
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    • pp.499-514
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    • 2007
  • It is a common practice to use the auxiliary variables to impute missing values from item nonresponse in surveys. Sometimes there are few auxiliary variables for missing value imputation, but if spatial and time autocorrelations exist, we should use these correlations for better results. Recently, Lee et al. (2006) showed that spatial autocorrelation could be efficiently used for missing value imputation when spatial autocorrelation existed, using the data from the farm household economy data in Gangwon-do, 2002. In this paper, we present au evaluation of spatial and space-time nonresponse imputation methods when there exist spatial and time autocorrelations using the monthly data during 2000-2002 from the same data previously used by Lee et al. (2006). We show that space-time imputation method is more efficient than the other through the numerical simulations.

Assessing Spatial Uncertainty Distributions in Classification of Remote Sensing Imagery using Spatial Statistics (공간 통계를 이용한 원격탐사 화상 분류의 공간적 불확실성 분포 추정)

  • Park No-Wook;Chi Kwang-Hoon;Kwon Byung-Doo
    • Korean Journal of Remote Sensing
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    • v.20 no.6
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    • pp.383-396
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    • 2004
  • The application of spatial statistics to obtain the spatial uncertainty distributions in classification of remote sensing images is investigated in this paper. Two quantitative methods are presented for describing two kinds of uncertainty; one related to class assignment and the other related to the connection of reference samples. Three quantitative indices are addressed for the first category of uncertainty. Geostatistical simulation is applied both to integrate the exhaustive classification results with the sparse reference samples and to obtain the spatial uncertainty or accuracy distributions connected to those reference samples. To illustrate the proposed methods and to discuss the operational issues, the experiment was done on a multi-sensor remote sensing data set for supervised land-cover classification. As an experimental result, the two quantitative methods presented in this paper could provide additional information for interpreting and evaluating the classification results and more experiments should be carried out for verifying the presented methods.

Spatial panel analysis for PM2.5 concentrations in Korea (공간패널모형을 이용한 국내 초미세먼지 농도에 대한 분석)

  • Lee, Jong Hyun;Kim, Young Min;Kim, Yongku
    • Journal of the Korean Data and Information Science Society
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    • v.28 no.3
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    • pp.473-481
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    • 2017
  • It is well known that the air quality of 92% of the world is known to exceed the standard of WTO and the death caused by air pollution is almost 6 million per year. The $PM_{2.5}$ concentration in Korea is the second most serious among the OECD countries following Turkey. Since the $PM_{2.5}$ has a direct effect on the respiratory system, it has been actively studied in domestic and foreign countries. But current research on the $PM_{2.5}$ is limited in weather factor or air pollutants. In this paper, we consider the influence of spatial neighbor with weather factor or air pollutants using spatial panel model. We applied the proposed method to 25 borough of Seoul in Korea. The result shows a significant effect of spatial neighbor on the $PM_{2.5}$ concentration fields.

Stratification Method Using κ-Spatial Medians Clustering (κ-공간중위 군집방법을 활용한 층화방법)

  • Son, Soon-Chul;Jhun, Myoung-Shic
    • The Korean Journal of Applied Statistics
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    • v.22 no.4
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    • pp.677-686
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    • 2009
  • Stratification of population is widely used to improve the efficiency of the estimation in a sample survey. However, it causes several problems when there are some variables containing outliers. To overcome these problems, Park and Yun (2008) proposed a rather subjective method, which finds outliers before $\kappa$-means clustering for stratification. In this study, we propose the $\kappa$-spatial medians clustering method which is more robust than $\kappa$-means clustering method and also does not need the process of finding outliers in advance. We investigate the characteristics of the proposed method through a case study used in Park and Yun (2008) and confirm the efficiency of the proposed method.

Image Segmentation based on Statistics of Sequential Frame Imagery of a Static Scene (정지장면의 연속 프레임 영상 간 통계에 기반한 영상분할)

  • Seo, Su-Young;Ko, In-Chul
    • Spatial Information Research
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    • v.18 no.3
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    • pp.73-83
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    • 2010
  • This study presents a method to segment an image, employing the statistics observed at each pixel location across sequential frame images. In the acquisition and analysis of spatial information, utilization of digital image processing technique has very important implications. Various image segmentation techniques have been presented to distinguish the area of digital images. In this study, based on the analysis of the spectroscopic characteristics of sequential frame images that had been previously researched, an image segmentation method was proposed by using the randomness occurring among a sequence of frame images for a same scene. First of all, we computed the mean and standard deviation values at each pixel and found reliable pixels to determine seed points using their standard deviation value. For segmenting an image into individual regions, we conducted region growing based on a T-test between reference and candidate sample sets. A comparative analysis was conducted to assure the performance of the proposed method with reference to a previous method. From a set of experimental results, it is confirmed that the proposed method using a sequence of frame images segments a scene better than a method using a single frame image.

Delineating CBD and Subcentres and Detecting Specialized Areas in that Central Places of Seoul (서울의 도심 및 부심 설정과 특화 기능 탐색)

  • Seo, Mincheol
    • Journal of the Korean Geographical Society
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    • v.49 no.2
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    • pp.275-298
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    • 2014
  • This paper aims to delineate Central Business District(CBD) and subcentres of Seoul and compare the functional differences of them by spatial scan statistics. Most existing studies to delimit Seoul CBD have two limits in the methods to make boundaries. First, most Seoul CBD-defining studies presuppose some central area contains CBD and look into just that area in a concentrating manner because it is too difficult to collect the data in a whole city boundary. Therefore the CBD areas have been localized in that study areas. But I analysed the data of the whole area of Seoul and was able to define the CBD and subcentres of Seoul. Second, I analysed the data by a spatial scan statistics technique and was able to minimize the number of subjective items in constructing some conditions for CBD. The CBD area in this study is enlarged eastward over East Gate, a national treasure in Seoul, than the areas in existing studies. In the contrary, westwardly, our CBD is set back a little. The two competing central places in Seoul, CBD and Gangnam have some different specialized subareas. CBD has more governing authorities and wholesale stores and Gangnam has many conglomerates HQs, Offices and cosmetic clinics.

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Precipitation Analysis Based on Spatial Linear Regression Model (공간적 상관구조를 포함하는 선형회귀모형을 이용한 강수량 자료 분석)

  • Jung, Ji-Young;Jin, Seo-Hoon;Park, Man-Sik
    • The Korean Journal of Applied Statistics
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    • v.21 no.6
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    • pp.1093-1107
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    • 2008
  • In this study, we considered linear regression model with various spatial dependency structures in order to make more reliable prediction of precipitation in South Korea. The prediction approaches are based on semi-variogram models fitted by least-squares estimation method and restricted maximum likelihood estimation method. We validated some candidate models from the two different estimation methods in terms of cross-validation and comparison between predicted values and observed values measured at different locations.