• Proceedings of the Korea Water Resources Association Conference
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• 2015.05a
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• pp.188-188
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• 2015

최근 기후변화와 지구온난화로 인한 돌발성 집중호우 및 홍수, 태풍의 빈도 증가는 사회 경제적으로 막대한 피해를 입히고 있다. 수자원 분야에서는 이러한 피해를 예방하고 빠른 대처를 위해 강우의 정밀한 관측뿐만 아니라 강우의 정확한 공간 분포 파악이 요구되고 있다. 그러나 일반적으로 강우의 측정 시 사용되는 지상우량계의 경우 공간적인 밀도가 낮고, 불규칙적으로 위치하고 있어 강우의 시 공간적 변화를 반영하기 어려운 한계가 있다. 이러한 문제를 보완하고자 지상강우자료와 레이더자료를 결합하여 사용하고 있다. 본 연구는 지상강우자료의 양적인 특성을 고려함과 동시에 레이더자료의 공간분포특성을 반영하는 강우장을 추정하고자 하였다. 따라서 지구통계학적 공간보간기법인 크리깅 기법을 적용하였으며, OK(Ordinary Kriging), KED(Kriging with External Drift), ColCOK(Collocated Cokriging) 기법에 의해 생성된 강우장을 비교하였다. 지상강우와의 양적인 측면을 비교하기 위해 관측소 위치에서의 실제 강우값과 추정된 강우값의 상관관계를 비교하였으며, 레이더자료의 공간분포특성과의 유사성을 확인하기 위해 각 기법에서의 베리오그램을 비교하였다.

• Proceedings of the Korean Geotechical Society Conference
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• 2008.10a
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• pp.1296-1305
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• 2008

In this study, the spatial distribution of depth between alluvial soil and weathered soil of Song-do new city is analyzed using geostatistics. From analysis results, the boundary depth of north-east region is deeper than that of south-west region, and average depth of north-east region is 27.14m and average depth of south-west region is 23.25m. The boundary depth is estimated by ordinary kriging and inverse distance method, and estimated results are almost similarity. So, in Song-do new city, these two method can be used to estimate the boundary depth. The ordinary kriging method is a very useful tool because the more exact analysis of spatial continuity and distribution characteristic is possible.

• Journal of Environmental Science International
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• v.22 no.3
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• pp.303-308
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• 2013

This paper proposed a new method for estimating missing values in time series rainfall data. The proposed method integrated the two most widely used estimation methods, general linear model(GLM) and ordinary kriging(OK), by taking a weighted average of covariance matrices derived from each of the two methods. The proposed method was cross-validated using daily rainfall data at thirteen rain gauges in the Hyeong-san River basin. The goodness-of-fit of the proposed method was higher than those of GLM and OK, which can be attributed to the weighting algorithm that was designed to minimize errors caused by violations of assumptions of the two existing methods. This result suggests that the proposed method is more accurate in missing values in time series rainfall data, especially in a region where the assumptions of existing methods are not met, i.e., rainfall varies by season and topography is heterogeneous.

• Proceedings of the Korean Society of Applied Entomolohy Conference
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• 2005.05a
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• pp.93-93
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• 2005

• Journal of the Korean Association of Geographic Information Studies
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• v.15 no.1
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• pp.16-33
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• 2012

The aim of this study is to estimate aboveground biomass carbon stocks using ordinary kriging(OK) which is the most commonly used type of kriging and regression kriging(RK) that combines a regression of the auxiliary variables with simple kriging. The analysis results shows that the forest carbon stock in Danyang is estimated at 3,459,902 tonC with OK and 3,384,581 tonC with RK in which the R-square value of the regression model is 0.1033. The result of RK conducted with sample plots stratified by forest type(deciduous, conifer and mixed) shows the lowest estimated value of 3,336,206 tonC and R-square value(0.35 and 0.18 respectively) is higher than that of when all sample plots used. The result of leave-one-out cross validation of each method indicates that RK with all sample plots reached the smallest root mean square error(RMSE) value(22.32 ton/ha) but the difference between the methods(0.23 ton/ha) is not significant.

• Journal of Wetlands Research
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• v.17 no.4
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• pp.370-379
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• 2015

In recent, the natural disaster like localized heavy rainfall due to the climate change is increasing. Therefore, it is important issue that the precise observation of rainfall and accurate spatial distribution of the rainfall for fast recovery of damaged region. Thus, researches on the use of the radar rainfall data have been performed. But there is a limitation in the estimation of spatial distribution of rainfall using rain gauge. Accordingly, this study uses the Kriging method which is a spatial interpolation method, to measure the rainfall field in Namgang river dam basin. The purpose of this study is to apply KED(Kriging with External Drift) with OK(Ordinary Kriging) and CK(Co-Kriging), generally used in Korea, to estimate rainfall field and compare each method for evaluate the applicability of each method. As a result of the quantitative assessment, the OK method using the raingauge only has 0.978 of correlation coefficient, 0.915 of slope best-fit line, and 0.957 of $R^2$ and shows an excellent result that MAE, RMSE, MSSE, and MRE are the closest to zero. Then KED and CK are in order of their good results. But the quantitative assessment alone has limitations in the evaluation of the methods for the precise estimation of the spatial distribution of rainfall. Thus, it is considered that there is a need to application of more sophisticated methods which can quantify the spatial distribution and this can be used to compare the similarity of rainfall field.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.21 no.3
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• pp.295-304
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• 2008

This paper comprises two specific objectives. The first is to examine the applicability of Ordinary Kriging interpolation(OK) to finite element method that is based on variogram modeling in conjunction with different allowable limits of separation distance. The second is to investigate the accuracy according to theoretical variograms such as polynomial, Gauss, and spherical models. For this purpose, the weighted least square method is applied to obtain the estimated new stress field from the stress data at the Gauss points. The weight factor is determined by experimental and theoretical variograms for interpolation of stress data apart from the conventional interpolation methods that use an equal weight factor. The validity of the proposed approach has been tested by analyzing two numerical examples. It is noted that the numerical results by Gauss model using 25% allowable limit of separation distance show an excellent agreement with theoretical solutions in literature.

• Proceedings of the Korea Water Resources Association Conference
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• 2018.05a
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• pp.133-133
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• 2018

최근 기후변화로 인해 국지성 호우와 도시화로 인한 불투수율 증가로 내수침수 및 홍수와 같은 피해가 빈번하게 발생하고 있는 추세이다. 이로 인해 강우 관측의 정확도에 대한 논의가 지속되고 있으며, 공간적 분포를 고려할 수 있는 레이더의 활용성이 증가하고 있다. 하지만 레이더 자료는 지상강우 자료와 달리, 반사도와 강우강도 간에 관계식(Z-R 관계식)을 통한 추정치이기 때문에 실제 관측한 지상강우 자료와 함께 보정작업을 수행해야 한다. 본 연구에서는 지구통계학분야에서 제시된 공간 보간법중 하나인 크리깅 기법을 이용하여 강우의 공간적 분포를 추정하였다. 본 연구에서 사용한 크리깅 기법으로는 일반적으로 많이 사용되는 OK(Ordinary Kriging), CK(Co-Kriging), KED(Kriging with External Drift)와 RK(Regression Kriging)기법을 사용하였고, 이를 이용하여 강우장을 생성하고, 생성된 강우장과 레이더값을 비교하였다. 지상강우와 관측소 위치에서의 실제 강우값과 추정된 강우값의 정량적 평가를 실시하였으며, 레이더 강우자료의 공간분포특성과 유사성을 확인하기 위해 각 기법에서의 베리오그램을 비교하였다. 본 연구를 통해 공간적 분포를 고려하여 강우장 분포의 정확도를 높일 수 있었고, 향후 다양한 레이더 보정기법과의 비교를 통해 강우 관측의 정확도를 높일 수 있을 것으로 판단된다.

• Journal of Korean Tunnelling and Underground Space Association
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• v.4 no.3
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• pp.217-227
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• 2002

Geostatistical methods were used for the groundwater flow analysis on the ${\bigcirc}{\bigcirc}$ tunnel area. Linear regression analysis shows that the topographic elevation and ground water level of this area have very high correlation. Groundwater-level contour maps produced by ordinary kriging and cokriging have little differences in mountain areas. But, comparing two maps on the basis of an elevation contour map, a groundwater-level contour map using cokring is more accurate. Analyzing the groundwater flow on two groundwater-level contour maps, the groundwater of study area flows from the north-west mountain areas to near valleys, and from the peak of the mountain to outside areas. In the design steps, the groundwater-level distribution is reasonably considered in the tunnel construction area by cokriging approach. And, geostatistics will provide quantitative information in the unknown groundwatrer-level area.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.19 no.4 s.74
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• pp.429-440
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• 2006

This paper comprises two specific objectives. The first is to examine the applicability of ordinary kriging interpolation(OK) to the p-adaptivity of the finite element method that is based on variogram modeling. The second objective Is to present the adaptive procedure by the hierarchical p-refinement in conjunction with a posteriori error estimator using the modified S.P.R. (superconvergent patch recovery) method. The ordinary kriging method that is one of weighted interpolation techniques is applied to obtain the estimated exact solution from the stress data at the Gauss points. The weight factor is determined by experimental and theoretical variograms for interpolation of stress data apart from the conventional interpolation methods that use an equal weight factor. In the p-refinement, the analytical domain has to be refined automatically to obtain an acceptable level of accuracy by increasing the p-level non-uniformly or selectively. To verify the performance of the modified S.P.R. method, the new error estimator based on limit value has been proposed. The validity of the proposed approach has been tested with the help of some benchmark problems of linear elastic fracture mechanics such as a centrally cracked panel, a single edged crack, and a double edged crack.