• Title/Summary/Keyword: variogram

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Characterizing Spatial Variability of a Soft Ground of Songdo by Geostatistics (지구통계학을 이용한 송도연약지반의 공간적 변화특성 분석)

  • Kim, Dong-Hee;Ko, Seong-Kwon;Park, Jong-Ik;Park, Jung-Gyu;Lee, Woo-Jin
    • 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.

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Optimal Network Design for the Estimation of Areal Rainfall (면적강우량 산정을 위한 관측망 최적설계 연구)

  • Lee, Jae-Hyeong;Yu, Yang-Gyu
    • Journal of Korea Water Resources Association
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    • v.35 no.2
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    • pp.187-194
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    • 2002
  • To improve the accuracy of the areal rainfall estimates over a river basin, the optimal design method of rainfall network was studied using the stochastic characteristics of measured rainfall data. The objective function was constructed with the estimation error of areal rainfall and observation cost of point rainfall and the observation sites with minimum objective function value were selected as the optimal network. As a stochastic variance estimator, kriging model was selected to minimize the error terms. The annual operation cost including the installation cost was considered as the cost terms and an accuracy equivalent parameter was used to combine the error and cost terms. The optimal design method of rainfall network was studied in the Yongdam dam basin whose raingauge numbers need to be enlarged for the optimal rainfall networks of the basin.

Comparative Evaluation of Reproducibility for Spatio-temporal Rainfall Distribution Downscaled Using Different Statistical Methods (통계적 공간상세화 기법의 시공간적 강우분포 재현성 비교평가)

  • Jung, Imgook;Hwang, Syewoon;Cho, Jaepil
    • Journal of The Korean Society of Agricultural Engineers
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    • v.65 no.1
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    • pp.1-13
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    • 2023
  • Various techniques for bias correction and statistical downscaling have been developed to overcome the limitations related to the spatial and temporal resolution and error of climate change scenario data required in various applied research fields including agriculture and water resources. In this study, the characteristics of three different statistical dowscaling methods (i.e., SQM, SDQDM, and BCSA) provided by AIMS were summarized, and climate change scenarios produced by applying each method were comparatively evaluated. In order to compare the average rainfall characteristics of the past period, an index representing the average rainfall characteristics was used, and the reproducibility of extreme weather conditions was evaluated through the abnormal climate-related index. The reproducibility comparison of spatial distribution and variability was compared through variogram and pattern identification of spatial distribution using the average value of the index of the past period. For temporal reproducibility comparison, the raw data and each detailing technique were compared using the transition probability. The results of the study are presented by quantitatively evaluating the strengths and weaknesses of each method. Through comparison of statistical techniques, we expect that the strengths and weaknesses of each detailing technique can be represented, and the most appropriate statistical detailing technique can be advised for the relevant research.

Distributions of Hydrogeological Variables and Flow Field on GIS Digital Map (GIS 수치지도를 이용한 수리지질학적 변수와 지하수 유동의 분포)

  • Lee, Cheo K.
    • Journal of the Korean Association of Geographic Information Studies
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    • v.2 no.2
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    • pp.45-58
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    • 1999
  • Digital map is utilized for an effective display of the distributions of the hydrogeological variables such as water table height(hydraulic head) and log-transmissivity(lnT) in north Pohang, KyungBug. Specifically the geostatistical method kriging is used to construct the distributions in an unconfined aquifer from a finite set of measured data. The experimental variograms for both the head and lnT suggest spherical models with nugget of 0 and range of 6km. The kriged results by using these variograms show that the head decreases primarily from the west to the east with a large peak in the north-western part and lnT is at the maximum level in the central part with outwardly decreasing trend. The constructed delineation is also used to calculate the flow field in the region. Finite differences with second order consistency are used to calculate the fluxes in the east(x) and north(y) across a vertical cross-section of unit width and height equal to the thickness of the wet zone in the aquifer. It is demonstrated that the flow is dominantly in the east with diverging trend on the eastern hillside of the water table peak. A few convergent spots also appear.

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The Estimation of Design Tide Level over the West Coast of Korea Based on the Kriging Model (크리징 모형을 이용한 서해 설계 기준 조위면의 추정에 관한 연구)

  • Lee, Jae-Hyeong
    • Journal of Korea Water Resources Association
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    • v.30 no.6
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    • pp.611-620
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    • 1997
  • The history of Tidal Bench Mark(TBM) at four major tide observation stations on the the Korea West Coast is reviewed. The data concerned with the local mean sea level(LMSL), the datum level(DL), and TBM is collected and checked. The values of LMSL surveyed by Rural Development Corporation(RDC), Office of Hydrographic Affair(OHA), and Office of Port Affair(OPA) are compared so that their unbiased MSLs at four stations are determined. Kriging model is introduced to estimate the design levels for tide; DL, MSL, and high water spring tide(HWOST). The estimated design level is well fitted with the sample data. The value of the identified drifts increase with the latitude. The estimated semi-variograms ${\gamma}(h)$ show self similarity. The values of the ${\gamma}(h)$ for DL and HWOST are 0.005 times as much as the values of ${\gamma}(h)$ of MSL.

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A Study on the Improvement of Quantitative Precipitation Estimation with Real-time Z-R Relationships (실시간 Z-R관계식을 이용한 레이더 강우산정기법의 문제점 개선에 관한 연구)

  • Kim, Gwang-Seob;Kim, Jong-Pil;Yim, Tae-Kyung
    • Proceedings of the Korea Water Resources Association Conference
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    • 2009.05a
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    • pp.1121-1124
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    • 2009
  • 면적강우량은 수치예보모형(NWP; Numerical Weather Prediction)이나 분포형 강우유출모형 등에서 가장 중요한 입력변수이다. 기상레이더는 광범위한 시공간분해능을 지닌 강우관측기기로서 널리 이용되고 있다. 레이더 반사도 자료를 이용한 강우추정에 대한 연구는 Z-R 관계식을 이용한 방법, 지상우량계와 연계한 통계적인 방법 등 다양하게 전개되어 왔다. 일반적으로 많이 사용되는 Marshall and Palmer(1948)가 제시한 Z-R 관계식은 층운형 강우에는 비교적 타당한 결과를 얻을 수 있지만 적운형 강우에 대해서는 그러하지 못하다. 또한 지상우량계와 연계한 방법은 주로 geostatistic 기법(ordinary kriging, co-kringing, kriging with external drift 등)을 사용하지만, 배리오그램(variogram)을 작성해야 되는 등 계산절차가 복잡하고 시간이 많이 걸려 실무에 적용하여 실시간으로 강우정보를 제공하기에는 다소 무리가 따른다. 따라서 본 연구에서는 지상우량계로 관측된 강우량과 레이더 추정강우 사이의 보정계수를 이용한 실시간 Z-R 관계식으로 레이더강우를 추정할 경우 발생될 수 있는 문제점들을 제시하고 개선방안을 모색하여 보다 정확한 레이더 강우를 추정하고자 하였다. 연구 대상지역은 부산레이더 반경 240km 이내 지역이며, 강우사상으로는 2002년 8월 31일 (태풍 "루사")의 레이더 반사도 자료를 이용하였다. 또한, 지상관측 강우량자료는 AWS(Auto Weathering System) 중에서 부산레이더 관측범위 내에 존재하는 68곳의 1시간 누적강우량을 사용하였다. 연구 결과, 기존의 실시간 Z-R 관계식을 이용할 경우 단순히 지상우량계와 레이더 강우 사이의 보정계수를 사용하면서 물리적인 범위를 벗어나 과대 추정되는 결과를 발생시켰다. 본 연구에서는 이렇게 과대 추정되는 부분을 제한함으로써 보다 현실적이고 타당한 면적강우량을 산정할 수 있었다.

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Analysis of the Applicability of Realtime Rainfall Estimation Methods Using Weather Radar (기상 레이더를 이용한 실시간 강수산정 기법 적용성 분석)

  • Kim, Gwang-Seob;Choi, Kyu-Hyun;Kim, Jong-Pil
    • Proceedings of the Korea Water Resources Association Conference
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    • 2008.05a
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    • pp.997-1000
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    • 2008
  • 기상 레이더와 지상강우계를 이용한 실시간 강우산정기법은 전형적인 Marshall-Palmer(M-P) 방법, geostatistic 접근법을 이용한 방법, 회귀분석에 의한 방법, Kalman filter를 이용한 방법 및 실시간 weight mask를 이용한 보정 등 여러 형태가 존재한다. 본 연구에서는 실시간 강우산정을 위한 각 방법의 장단점 및 적용성을 분석하였다. 전형적인 M-P 방법은 잘 알려진 바와 같이 호우사상을 과소 추정하는 단점을 가졌으며 기존 연구자들이 제시한 바와 같이 층운형, 대류형과 같은 강우형태에 따라 다른 Z-R관계식을 가지므로 단일 Z-R관계식으로 강수를 산정함에 있어 한계를 가진다. Geostatistic 기법을 이용한 실시간 강수 산정의 경우, 지상 강우계 정보를 활용하여 강우공간분포를 개선하는 여러 기법 즉 cokriging, external drift 기법 등이 존재함에도 불구하고 과다한 계산시간, 실시간 variogram 산정과 적용상의 문제 등을 내포하고 있다. 실시간 회귀분석을 이용한 강우산정은 실제 적용에 있어 지상 강우계와 레이더 반사도사이의 선형 상관관계에 대한 결정계수가 매우 낮아 기법 적용이 간단한 장점에도 불구하고 적용에 한계를 가진다. Kalman filter기법을 이용한 실시간 레이더 강수산정은 계산시간이 여타 기법보다 많이 소요되어 실시간성을 유지하는데 한계를 가진다. 실시간 weight mask를 이용한 보정기법은 지상강우계 강우강도와 기상레이더 강우강도가 선형상관관계를 가진다는 가정이 대상지역 전체에 균일하게 적용될 수 없음에도 불구하고 기법의 적용이 간편하며 실시간 강우 공간분포를 실제 강우 관측인 지상 강우계 공간 분포 특성을 간접 강우 관측인 기상 레이더 반사도 분포와 결합하여 공간 변화 특성을 잘 나타낸다는 장점을 가지므로 실용적 적용에 있어 장점을 가진다.

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A Geostatistical Study for the Selection of Prospective Areas of Polymetallic Nodule Deposits (망간단괴광상의 유망광구선정을 위한 지구통계학적 연구)

  • Park, Chan Young;Chon, Hyo Taek;Kang, Jung Keuk
    • Economic and Environmental Geology
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    • v.29 no.5
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    • pp.575-587
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    • 1996
  • The purpose of this study is to develop geostatistical methods for selection of prospective areas of polymetallic nodule deposits in KODOS (Korea Deep Ocean Study) area of the North-East Pacific Ocean. In this study $110{\times}165$ grid system was used, and each node represents the center of an estimated block of $1km{\times}1km$. The ordinary kriging was applied to SeaBeam2000 data in order to evaluate the bathymetry. A structural analysis (variogram) of the bathymetry data was carried out for constructing digital terrain model (DTM) and the maximum slopes of the bathymetry were calculated by DTM data. The above method can be used to solve the problem that is resulted from the lack of theory of a change of support model for the maximum slope of the bathymetry. The ordinary kriging and the indicator kriging were used to evaluate the nodule abundance, and the different two kriging methods were compared to evaluate the accuracy for the estimation of the nodule abundance. It has been shown that indicator kriging was better estimation tool than the ordinary kriging. The overlay map is presented for the selection of potentially minable sites by combining the two indicator maps of the nodule abundance and the maximum slope of bathymetry. This overlay map could be utilized to establish follow-up survey and to investigate the potentially minable sites in the KODOS area.

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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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Geostatistical inversion of geophysical data for estimation of rock quality (물리탐사 자료의 지구통계학적 역산에 의한 암반강도 추정)

  • Oh, Seok-Hoon;Suh, Baek-Soo
    • 한국지구물리탐사학회:학술대회논문집
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    • 2008.10a
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    • pp.63-67
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    • 2008
  • Geostatistical inverse approach using geophysical data was applied to indirectly make the RMR classification at points apart from boreholes. The geostatistical appoach was usually used to find optimized estimation which supports two or more different physical properties at unsampled points. However, in this study, an approach to solve inverse problem was proposed. The primary variable, RMR values obtained at known boreholes, is geostatistically simulated with many realization at pre-defined grid point according to the variogram model. The simulated values are sequentially compared with the physical property resulted from geophysical survey at an arbitrary grid point, and the most similar one is chosen. This process means that the spatial distribution of primary variable, RMR, is conformed well to the original pattern of the borehole observation, and ensure to fit the geophysical survey result to reflect the correlation between different physical properties.

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