• Title/Summary/Keyword: 회귀 크리깅

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Population Distribution Estimation Using Regression-Kriging Model (Regression-Kriging 모형을 이용한 인구분포 추정에 관한 연구)

  • Kim, Byeong-Sun;Ku, Cha-Yong;Choi, Jin-Mu
    • Journal of the Korean Geographical Society
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    • v.45 no.6
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    • pp.806-819
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    • 2010
  • Population data has been essential and fundamental in spatial analysis and commonly aggregated into political boundaries. A conventional method for population distribution estimation was a regression model with land use data, but the estimation process has limitation because of spatial autocorrelation of the population data. This study aimed to improve the accuracy of population distribution estimation by adopting a Regression-Kriging method, namely RK Model, which combines a regression model with Kriging for the residuals. RK Model was applied to a part of Seoul metropolitan area to estimate population distribution based on the residential zones. Comparative results of regression model and RK model using RMSE, MAE, and G statistics revealed that RK model could substantially improve the accuracy of population distribution. It is expected that RK model could be adopted actively for further population distribution estimation.

Surface Sediments Classification in Tidal Flats using Multivariate Kriging and KOMPSAT-2 Imagery (다변량 크리깅과 KOMPSAT-2 영상을 이용한 간석지 표층 퇴적물 분류)

  • LEE, Sang-Won;PARK, No-Wook;JANG, Dong-Ho;YOO, Hee Young;LIM, Hyosuk
    • Journal of The Geomorphological Association of Korea
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    • v.19 no.3
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    • pp.37-49
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    • 2012
  • The objective of this paper is to propose a methodology for surface sediments classification in tidal flats that can combine ground survey data with high-resolution remote sensing data by multivariate kriging. Unlike conventional methodologies that have classified remote sensing data by using pre-classified sediment components, a new classification methodology presented in this paper first generates sediment component fraction maps and then classifies the sediments on a final stage. For generating sediment component fractions, regression kriging, as one of multivariate kriging algorithms, is applied to integrate ground survey data and remote sensing data. First, trend components of sand, silt, and clay are derived through regression analysis of ground survey data and spectral information from remote sensing data. Then, residuals at sample locations are computed and interpolated to generate residual components in the study area. Finally, the sediment component fractions are computed by adding the residuals to the trend components and are classified on a final stage. A case study at the Baramarae tidal flats with KOMPSAT-2 imagery is carried out to evaluate the classification capability of the proposed classification methodology. Through the case study, the proposed methodology showed the best classification accuracy, compared with the conventional classification methodologies. Especially, much improvement of classification accuracy for fine-grained sediments were also obtained. Therefore, it is expected that the presented classification methodology would be an effective one for surface sediments classification in tidal flats.

Application of Geostatistical Methods to Groundwater Flow Analysis in a Heterogeneous Anisotropic Aquifer (불균질.이방성 대수층의 지하수 유동분석에 지구통계기법의 응용)

  • 정상용;유인걸;윤명재;권해우;허선희
    • The Journal of Engineering Geology
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    • v.9 no.2
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    • pp.147-159
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    • 1999
  • Geostatistical methods were used for the groundwater flow analysis in a heterogeneous anisotropic aquifer. This study area is located at Sonbul-myeon in Hampyong-gun of Cheonnam Province which is a hydrogeological project area of KORES(Korea Resources Cooperation). Linear regression analysis shows that the topographic elevation and groundwater level of this area have very high correlation. Groundwater-level contour maps produced by ordinary kriging and cokringing have large differences in mountain areas, but small differences in hill and plain areas near the West Sea. Comparing two maps on the basis of an elevation contour map, a groundwater-level contour map using cokriging is more accurate. Analyzing the groundwater flow on two groundwater-level contour maps, the groundwater of study area flows from the high mountain areas to the plain areas near the West Sea. To verify the enffectiveness of geostatistical methods for the groundwater flow analysis in a heterogeneous anisotropic aquifer, the flow directions of groundwater were measured at two groundwater boreholes by a groundwater flowmeter system(model 200 $GeoFlo^{R}$). The measured flow directions of groundwater almost accord with those estimated on two groundwater-level contour maps produced by geostatistical methods.

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A Study on the Prediction of Traffic Counts Based on Shortest Travel Path (최단경로 기반 교통량 공간 예측에 관한 연구)

  • Heo, Tae-Young;Park, Man-Sik;Eom, Jin-Ki;Oh, Ju-Sam
    • The Korean Journal of Applied Statistics
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    • v.20 no.3
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    • pp.459-473
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    • 2007
  • In this paper, we suggest a spatial regression model to predict AADT. Although Euclidian distances between one monitoring site and its neighboring sites were usually used in the many analysis, we consider the shortest travel path between monitoring sites to predict AADT for unmonitoring site using spatial regression model. We used universal Kriging method for prediction and found that the overall predictive capability of the spatial regression model based on shortest travel path is better than that of the model based on multiple regression by cross validation.

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.

Generalized Kriging Model for Interpolation and Regression (보간과 회귀를 위한 일반크리깅 모델)

  • Jung Jae Jun;Lee Tae Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.2 s.233
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    • pp.277-283
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    • 2005
  • Kriging model is widely used as design analysis and computer experiment (DACE) model in the field of engineering design to accomplish computationally feasible design optimization. In general, kriging model has been applied to many engineering applications as an interpolation model because it is usually constructed from deterministic simulation responses. However, when the responses include not only global nonlinearity but also numerical error, it is not suitable to use Kriging model that can distort global behavior. In this research, generalized kriging model that can represent both interpolation and regression is proposed. The performances of generalized kriging model are compared with those of interpolating kriging model for numerical function with error of normal distribution type and trigonometric function type. As an application of the proposed approach, the response of a simple dynamic model with numerical integration error is predicted based on sampling data. It is verified that the generalized kriging model can predict a noisy response without distortion of its global behavior. In addition, the influences of maximum likelihood estimation to prediction performance are discussed for the dynamic model.

Design frequency estimation in small basin and proper flood defense alternative (도시 소유역의 설계빈도 산정 및 적정 홍수방어대안)

  • Lim, Woo-Saeng;Lee, Jung-Ki;Choi, Kang-Soo;Kim, Hung-Soo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2008.05a
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    • pp.373-378
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    • 2008
  • 기존에는 잠재위험도와 해당지역 하나의 강우관측소에서의 기왕최대강우량을 이용하여 계획빈도를 결정하였다. 그러나 기왕최대강우량은 이미 발생한 최대강우량이기 때문에 안전치를 고려해 산정한 계획빈도를 따라가지 못하였고, 잠재위험도에 따른 계획빈도의 범위가 매우 작은 문제점이 있었다. 따라서 본 연구에서는 문산천 유역의 기왕최대강우량과 잠재위험도를 이용하여 계획빈도를 산정하는데 필요한 가중치를 결정하였다. 본 연구에서는 수도권지역 6개의 기상청 강우관측소 강우량 자료를 사용하여 크리깅기법으로 공간분포를 시키고자 하였다. 또한, 기왕최대강우량으로 계획빈도를 연결시키는데 있어서 발생하는 문제점을 해결하기 위하여 계획빈도의 가중치를 산정하고자 하였다. 문산천 유역에 잠재위험도 산정에 따라 계획빈도를 결정한 결과, 크리깅기법으로 문산천 유역에 기왕최대강우량에 해당하는 계획빈도는 160년 정도이며, 회귀식으로 각 소유역별로 계획빈도를 산정한 결과 약 110년에서 120년까지 분포하였다. 이렇게 산정된 계획빈도를 공시지가와 홍수량으로 가중치를 구하여 소유역별로 분포시킨 계획빈도 값은 대략 100년에서 200년으로 산정되었다. 잠재위험도와 피해액 산정기법을 이용하여 문산천에 최적 홍수방어대안을 선정하고자 하였다. 최적 대안을 선정하기 위한 방법론을 제시하고 이에 따라 잠재위험도를 산정하고 유역 분담량을 결정하여 적합한 구조적 홍수방어시설물을 Decision Tree라는 의사결정을 통하여 계획하고 조합하여 3개의 적정 홍수방어대안을 선정하였다.

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Statistical Space-Time Metamodels Based on Multiple Responses Approach for Time-Variant Dynamic Response of Structures (구조물의 시간-변화 동적응답에 대한 다중응답접근법 기반 통계적 공간-시간 메타모델)

  • Lee, Jin-Min;Lee, Tae-Hee
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.8
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    • pp.989-996
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    • 2010
  • Statistical regression and/or interpolation models have been used for data analysis and response prediction using the results of the physical experiments and/or computer simulations in structural engineering fields. These models have been employed during the last decade to develop a variety of design methodologies. However, these models only handled responses with respect to space variables such as size and shape of structures and cannot handle time-variant dynamic responses, i.e. response varying with time. In this research, statistical space-time metamodels based on multiple response approach that can handle responses with respect to both space variables and a time variable are proposed. Regression and interpolation models such as the response surface model (RSM) and kriging model were developed for handling time-variant dynamic responses of structural engineering. We evaluate the accuracies of the responses predicted by the two statistical space-time metamodels by comparing them with the responses obtained by the physical experiments and/or computer simulations.

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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An Analysis on the Spatio-temporal Heterogeneity of Real Transaction Price of Apartment in Seoul Using the Geostatistical Methods (공간통계기법을 이용한 서울시 아파트 실거래가 변인의 시공간적 이질성 분석)

  • Kim, Jung Hee
    • Journal of Korean Society for Geospatial Information Science
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    • v.24 no.4
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    • pp.75-81
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    • 2016
  • This study focused on exploring real transaction price of apartment and spatial and temporal heterogeneity of the variables that influence real transaction price of apartment from the spatial and temporal perspective. As independent variables that are considered to influence real transaction price of apartment, transport, local characteristics, educational conditions, population, and economic characteristics were taken into account. Accordingly, the influence of independent variables and spatial distribution pattern were analyzed from the global and local aspects. The spatial and temporal changing patterns of real transaction price of apartment which is a dependent variable were analyzed. First, to establish an analysis model, OLS analysis and GWR analysis were conducted, and thereby more efficient and proper model was selected. Secondly, to find spatial and temporal heterogeneity of independent variables with the use of the selected GWR model, Local $R^2$ was used for local analysis. Thirdly, to look into spatial distribution of independent variables, kriging analysis was carried out. Therefore, based on the results, it is considered that it is possible to carry out more microscopic housing submarket analysis and lay the foundation for establishing a policy on real property.