• Title/Summary/Keyword: Kriging 기법

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Application of Kriging Methods and Runoff Analysis using Ground Rainfall and Radar Rainfall (지상강우와 레이더강우를 이용한 크리깅 기법의 적용과 유출해석)

  • Lee, Myungjin;Jang, Hongsuk;Joo, Hongjun;Kang, Narae;Kim, Hung Soo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.287-287
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    • 2016
  • 최근 기후변화로 인해 돌발성 집중호우가 증가하는 추세로 홍수피해가 발생하고 있는데 이러한 피해를 예방하고 빠른 대처를 위해 강우의 정밀한 관측뿐만 아니라 강우의 정확한 공간 분포 파악에 대한 필요성이 중요하게 대두되고 있다. 그러나 일반적으로 지상우량계의 경우, 공간적인 강우분포 분석에 한계가 존재하여 레이더 강우자료와 함께 활용하는 연구가 진행되어 왔다. 따라서 본 연구에서는 강우장 추정시, 공간보간 기법인 크리깅 기법을 적용하여 강우장을 추정하고 유출 해석을 통해 그 적용성을 확인하고자 하였다. 국내에서 일반적으로 사용되는 크리깅 기법인 OK(Ordinary Kriging), CK(Co-Kriging) 외에도 KED(Kriging with External Drift) 기법을 적용하여 강우장을 추정하고 분포형 수문모형인 $Vflo^{TM}$의 입력자료로 사용하여 유출해석시 정확도를 비교 분석하였다. 추정된 강우장의 정량적 평가 결과, 지상강우만을 이용하는 OK 기법이 가장 우수한 결과를 나타내었다. 하지만 강우의 공간 분포 특성 반영 측면에서는 KED와 CK가 보다 더 좋은 결과를 나타내었다. 또한 유출해석의 경우 지형학적 매개변수 조정에 의한 강우 입력자료의 왜곡을 배제하기 위해 검 보정은 실시하지 않았으며 오차분석 결과에서 KED, CK, OK, Radar 순으로 관측유량을 잘 재현하는 것으로 확인되었다. 본 연구를 통해 공간보간 기법의 수문학적 적용성을 확인하였으며 모형의 검 보정을 통해 수문모형의 입력자료로서 활용성을 가질 수 있을 것으로 판단된다. 또한 이를 통해 생성된 강우장을 활용한다면, 관측망의 밀도가 낮은 지역과 미계측 유역 등에 적용하여 수문시스템해석에 도움이 될 것으로 판단된다.

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Applicability of Spatial Interpolation Methods for the Estimation of Rainfall Field (강우장 추정을 위한 공간보간기법의 적용성 평가)

  • Jang, Hongsuk;Kang, Narae;Noh, Huiseong;Lee, Dong Ryul;Choi, Changhyun;Kim, Hung Soo
    • 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.

Application of Spatial Interpolation to Rainfall Data (강우자료에 대한 공간보간 기법의 적용)

  • Cho Hong-Lae;Jeong Jong-Chul
    • Spatial Information Research
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    • v.14 no.1 s.36
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    • pp.29-41
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    • 2006
  • Geostatistical data are obtained only at selected sites even though they are potentially available at any location In a continuous surface. Therefore it is necessary to estimate the unknown values at unsampled locations based on observations. In this study we compared the accuracy of 5 spatial interpolation methods: local trend surface, IDW, RBF, ordinary kriging, universal kriging. These interpolation methods were applied to annual rainfall data. As the results of validation tests, universal kriging with gaussian variogram model showed the best accuracy in comparison with other interpolation methods. In the case of kriging, the predicted values were more accurate and within a more narrow range than other methods. In contrast with kriging, local trend surface analysis, IDW and RBF showed the wide range of predicted values and abrupt changes between neighbors.

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Estimating Forest Carbon Stocks in Danyang Using Kriging Methods for Aboveground Biomass (크리깅 기법을 이용한 단양군의 산림 탄소저장량 추정 - 지상부 바이오매스를 대상으로 -)

  • Park, Hyun-Ju;Shin, Hyu-Seok;Roh, Young-Hee;Kim, Kyoung-Min;Park, Key-Ho
    • 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.

Comparison of global models for calculation of accurate and robust statistical moments in MD method based Kriging metamodel (크리깅 모델을 이용한 곱분해 기법에서 정확하고 강건한 통계적 모멘트 계산을 위한 전역모델의 비교 분석)

  • Kim, Tae-Kyun;Lee, Tae-Hee
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.678-683
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    • 2008
  • Moment-based reliability analysis is the method to calculate reliability using Pearson System with first-four raw moments obtained from simulation model. But it is too expensive to calculate first four moments from complicate simulation model. To overcome this drawback the MD(multiplicative decomposition) method which approximates simulation model to kriging metamodel and calculates first four raw moments explicitly with multiplicative decomposition techniques. In general, kriging metamodel is an interpolation model that is decomposed of global model and local model. The global model, in general, can be used as the constant global model, the 1st order global model, or the 2nd order global model. In this paper, the influences of global models on the accuracy and robustness of raw moments are examined and compared. Finally, we suggest the best global model which can provide exact and robust raw moments using MD method.

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Building Wind Corridor Network Using Roughness Length (거칠기길이를 이용한 바람통로 네트워크 구축)

  • An, Seung Man;Lee, Kyoo-Seock;Yi, Chaeyeon
    • Journal of the Korean Institute of Landscape Architecture
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    • v.43 no.3
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    • pp.101-113
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    • 2015
  • The purpose of this study is increasing ventilation network usability for urban green space planning by enhancing its practicality and detail. A ventilation network feature extraction technique using roughness length($z_0$) was proposed. Continuously surfaced DZoMs generated from $z_0$(cadastral unit) using three interpolations(IDW, Spline, and Kriging) were compared to choose the most suitable interpolation method. Ventilation network features were extracted using the most suitable interpolation technique and studied with land cover and land surface temperature by spatial overlay comparison. Results show Kriging is most suitable for DZoM and feature extraction in comparison with IDW and Spline. Kriging based features are well fit to the land surface temperature(Landsat-7 ETM+) on summer and winter nights. Noteworthy is that the produced ventilation network appears to mitigate urban heat loads at night. The practical use of proposed ventilation network features are highly expected for urban green space planning, though strict validation and enhancement should follow. (1) $z_0$ enhancement, (2) additional ventilation network interpretation and editing, (3) linking disconnected ventilation network features, and (4) associated dataset enhancement with data integrity should technically preceded to enhance the applicability of a ventilation network for green space planning. The study domain will be expanded to the Seoul metropolitan area to apply the proposed ventilation network to green space planning practice.

The kriging method with robust design for low noise intake system (강건설계에서 크리깅기법을 적응한 저소음 흡기계 설계)

  • 차경준;박영선;류제선;진정언
    • Journal of Korean Society for Quality Management
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    • v.30 no.1
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    • pp.133-143
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    • 2002
  • We propose an optimal design to improve the muffler's capacity by reducing the noise of the intake system by adapting kriging method with the robust design. For the first stage of a design, the length and radius of each component of the current muffler system are selected as control factors. Then, the $L_18$ table of orthogonal arrays is adapted to extract the effective main factors. As the second stage, the $L_18$ table of orthogonal arrays using kriging method is adapted to take the significant factors into consideration. As an optimal design, the $L_18$ table of orthogonal arrays with main effects is proposed and the kriging method is adapted for more efficient design. The kriging method improves the performance of intake system.

Stress Recovery Technique by Ordinary Kriging Interpolation in p-Adaptive Finite Element Method (적응적 p-Version 유한요소법에서 정규 크리깅에 의한 응력복구기법)

  • Woo, Kwang Sung;Jo, Jun Hyung;Lee, Dong Jin
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.4A
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    • pp.677-687
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    • 2006
  • Kriging interpolation is one of the generally used interpolation techniques in Geostatistics field. This technique includes the experimental and theoretical variograms and the formulation of kriging interpolation. In contrast to the conventional least square method for stress recovery, kriging interpolation is based on the weighted least square method to obtain the estimated exact solution from the stress data at the Gauss points. The weight factor is determined by variogram modeling for interpolation of stress data apart from the conventional interpolation methods that use an equal weight factor. In addition to this, the p-level is increased non-uniformly or selectively through a posteriori error estimation based on SPR (superconvergent patch recovery) technique, proposed by Zienkiewicz and Zhu, by auto mesh p-refinement. The cut-out plate problem under tension has been tested to validate this approach. It also provides validity of kriging interpolation through comparing to existing least square method.

Application of KED Method for Estimation of Spatial Distribution of Probability Rainfall (확률강우량의 공간분포 추정을 위한 KED 기법의 적용)

  • Seo, Young-Min;Yeo, Woon-Ki;Lee, Seung-Yoon;Jee, Hong-Kee
    • Journal of Korea Water Resources Association
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    • v.43 no.8
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    • pp.757-767
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    • 2010
  • This study employs the KED method using the correlations between probability rainfall and topographical factors as single auxiliary variable for assessing the effectiveness of external variables to improve the reliability in the estimation of spatial distribution of probability rainfall. As a result, the KED method gives similar results compared with deterministic spatial interpolation methods and kriging methods in the estimation of rainfall spatial distribution and mean areal rainfall, and as a result of the cross-validations of KED and kriging methods, the KED method using terrain elevation as auxiliary variable gives the best results, which are not significantly different in comparisons with other methods.

Spatial Distribution Modeling of Daily Rainfall Using Co-Kriging Method (Co-kriging 기법을 이용한 일강우량 공간분포 모델링)

  • Hwang Sye-Woon;Park Seung-Woo;Jang Min-Won;Cho Young-Kyoung
    • Journal of Korea Water Resources Association
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    • v.39 no.8 s.169
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    • pp.669-676
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    • 2006
  • Hydrological factors, especially the spatial distribution of interpretation on precipitation is often topic of interest in studying of water resource. The popular methods such as Thiessen method, inverse distance method, and isohyetal method are limited in calculating the spatial continuity and geographical characteristics. This study was intended to overcome those limitations with improved method that will yield higher accuracy. The monthly and yearly precipitation data were produced and compared with the observed daily precipitation to find correlation between them. They were then used as secondary variables in Co-kriging method, and the result was compared with the outcome of existing methods like inverse distance method and kriging method. The comparison of the data showed that the daily precipitation had high correlation with corresponding year's average monthly amounts of precipitation and the observed average monthly amounts of precipitation. Then the result from the application of these data for a Co-kriging method confirmed increased accuracy in the modeling of spatial distribution of precipitation, thus indirectly reducing inconsistency of the spatial distribution of hydrological factors other than precipitation.