• Title/Summary/Keyword: Cokriging

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Annual Average Daily Traffic Estimation using Co-kriging (공동크리깅 모형을 활용한 일반국도 연평균 일교통량 추정)

  • Ha, Jung-Ah;Heo, Tae-Young;Oh, Sei-Chang;Lim, Sung-Han
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.12 no.1
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    • pp.1-14
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    • 2013
  • Annual average daily traffic (AADT) serves the important basic data in transportation sector. Despite of its importance, AADT is estimated through permanent traffic counts (PTC) at limited locations because of constraints in budget and so on. At most of locations, AADT is estimated using short-term traffic counts (STC). Though many studies have been carried out at home and abroad in an effort to enhance the accuracy of AADT estimate, the method to simplify average STC data has been adopted because of application difficulty. A typical model for estimating AADT is an adjustment factor application model which applies the monthly or weekly adjustment factors at PTC points (or group) with similar traffic pattern. But this model has the limit in determining the PTC points (or group) with similar traffic pattern with STC. Because STC represents usually 24-hour or 48-hour data, it's difficult to forecast a 365-day traffic variation. In order to improve the accuracy of traffic volume prediction, this study used the geostatistical approach called co-kriging and according to their reports. To compare results, using 3 methods : using adjustment factor in same section(method 1), using grouping method to apply adjustment factor(method 2), cokriging model using previous year's traffic data which is in a high spatial correlation with traffic volume data as a secondary variable. This study deals with estimating AADT considering time and space so AADT estimation is more reliable comparing other research.

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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Preparation of Probabilistic Liquefaction Hazard Map Using Liquefaction Potential Index (액상화 가능 지수를 활용한 확률적 액상화 재해도)

  • Chung, Jae-won;Rogers, J. David
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.34 no.6
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    • pp.1831-1836
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    • 2014
  • Probabilistic liquefaction hazard map is now widely needed for engineering practice. Based on the Liquefaction Potential Index (LPI) calculated from liquefied and non-liquefied cases, we attempted to estimate probabilities of liquefaction induced ground failures using logistic regression. We then applied this approach for the regional area. LPIs were calculated based on 273 Standard Penetration Tests in the floodplains in the St. Louis area, USA and then interpolated using cokriging with the covariable of peak ground acceleration. Our result shows that some areas of $LPI{\geq}5$, due to soft soil layers and shallow groundwater table, appear probabilities of ground $failure{\geq}0.5$.

Accuracy Comparison of Air Temperature Estimation using Spatial Interpolation Methods according to Application of Temperature Lapse Rate Effect (기온감률 효과 적용에 따른 공간내삽기법의 기온 추정 정확도 비교)

  • Kim, Yong Seok;Shim, Kyo Moon;Jung, Myung Pyo;Choi, In Tae
    • Journal of Climate Change Research
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    • v.5 no.4
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    • pp.323-329
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    • 2014
  • Since the terrain of Korea is complex, micro- as well as meso-climate variability is extreme by locations in Korea. In particular, air temperature of agricultural fields is influenced by topographic features of the surroundings making accurate interpolation of regional meteorological data from point-measured data. This study was carried out to compare spatial interpolation methods to estimate air temperature in agricultural fields surrounded by rugged terrains in South Korea. Four spatial interpolation methods including Inverse Distance Weighting (IDW), Spline, Ordinary Kriging (with the temperature lapse rate) and Cokriging were tested to estimate monthly air temperature of unobserved stations. Monthly measured data sets (minimum and maximum air temperature) from 588 automatic weather system(AWS) locations in South Korea were used to generate the gridded air temperature surface. As the result, temperature lapse rate improved accuracy of all of interpolation methods, especially, spline showed the lowest RMSE of spatial interpolation methods in both maximum and minimum air temperature estimation.

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 Bayesian Approach to Geophysical Inverse Problems (베이지안 방식에 의한 지구물리 역산 문제의 접근)

  • Oh Seokhoon;Chung Seung-Hwan;Kwon Byung-Doo;Lee Heuisoon;Jung Ho Jun;Lee Duk Kee
    • Geophysics and Geophysical Exploration
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    • v.5 no.4
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    • pp.262-271
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    • 2002
  • This study presents a practical procedure for the Bayesian inversion of geophysical data. We have applied geostatistical techniques for the acquisition of prior model information, then the Markov Chain Monte Carlo (MCMC) method was adopted to infer the characteristics of the marginal distributions of model parameters. For the Bayesian inversion of dipole-dipole array resistivity data, we have used the indicator kriging and simulation techniques to generate cumulative density functions from Schlumberger array resistivity data and well logging data, and obtained prior information by cokriging and simulations from covariogram models. The indicator approach makes it possible to incorporate non-parametric information into the probabilistic density function. We have also adopted the MCMC approach, based on Gibbs sampling, to examine the characteristics of a posteriori probability density function and the marginal distribution of each parameter.

A Study on the Application of Distributed Model for Ui Basin (우이천 유역에 대한 분포형 모형의 적용에 관한 연구)

  • Kim, Dong-Hyun;Moon, Young-Il;Park, Goo-Soon;Lee, Bum-Sub
    • Proceedings of the Korea Water Resources Association Conference
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    • 2012.05a
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    • pp.933-933
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    • 2012
  • 최근 들어 우리나라를 포함한 전 세계적으로 극심한 기후변화와 기상이변으로 집중호우에 의한 피해가 급증하고 있으며, 기상재해에 따른 강우-유출 현상에 관한 정확한 해석이 필요하게 되었다. 국내의 경우에도 1990년 중반부터 매년 국지적 집중호우나 이상호우로 인해 재산 및 인명피해가 속출하고 있다. 대상유역으로 선정한 우이천 유역 또한 강북구의 대표적인 상습침수지역으로 피해 받고 있는 상황이며, 이를 예방하기 위해 홍수범람도 작성, 재해지도 작성 등의 지리정보시스템 기법 및 각종 수해대책이 활발하게 진행되고 있지만 아직은 미비한 실정이다. 본 연구에서는 우이천 유역에 대한 강우-유출 해석을 위한 분포형 모형인 Vflo$^{TM}$의 적용성을 검토 분석하는 데에 의의를 두었다. 또한 각 격자크기별로 유출량의 변화를 타 모형과의 비교를 통하여 적정성을 검토하였다. 이를 위해 대상유역의 1:1000 수치지형도를 이용하여 50m, 100m, 150m, 200m의 DEM을 생성하였고 ArcGIS 프로그램의 Hydro툴을 이용하였다. DEM을 보간하기 전 총 세 곳의 Sink를 발견하여 조정한 후 Filling하였으며 수치지형도와 정밀토양도로부터 초기 입력자료를 생성한 후 ASCII 파일로 변환하여 분포형 모형에 적용하였다. 또한 VfloTM 를 통해 구성한 격자망을 실제 흐름 방향을 고려하여 최종 유출구로 흐를 수 있도록 격자망을 재구성하였으며, 강우의 공간적 분포 방법으로 Cokriging 기법을 사용하였다. 분석 결과 격자 크기가 작은 경우 오히려 첨두유량이 작게 산정되었는데 이는 배수계통의 변화 및 수치지형도와는 다른 지표면 특성으로 인한 것으로 사료된다. 또한 배수구역의 최적화 결과 전반적으로 실측치와 유사한 값을 나타내었으며, 타 모형과 비교한 결과 비슷하거나 조금 나은 결과를 보였다.

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Estimation of Near Surface Air Temperature Using MODIS Land Surface Temperature Data and Geostatistics (MODIS 지표면 온도 자료와 지구통계기법을 이용한 지상 기온 추정)

  • Shin, HyuSeok;Chang, Eunmi;Hong, Sungwook
    • Spatial Information Research
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    • v.22 no.1
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    • pp.55-63
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    • 2014
  • Near surface air temperature data which are one of the essential factors in hydrology, meteorology and climatology, have drawn a substantial amount of attention from various academic domains and societies. Meteorological observations, however, have high spatio-temporal constraints with the limits in the number and distribution over the earth surface. To overcome such limits, many studies have sought to estimate the near surface air temperature from satellite image data at a regional or continental scale with simple regression methods. Alternatively, we applied various Kriging methods such as ordinary Kriging, universal Kriging, Cokriging, Regression Kriging in search of an optimal estimation method based on near surface air temperature data observed from automatic weather stations (AWS) in South Korea throughout 2010 (365 days) and MODIS land surface temperature (LST) data (MOD11A1, 365 images). Due to high spatial heterogeneity, auxiliary data have been also analyzed such as land cover, DEM (digital elevation model) to consider factors that can affect near surface air temperature. Prior to the main estimation, we calculated root mean square error (RMSE) of temperature differences from the 365-days LST and AWS data by season and landcover. The results show that the coefficient of variation (CV) of RMSE by season is 0.86, but the equivalent value of CV by landcover is 0.00746. Seasonal differences between LST and AWS data were greater than that those by landcover. Seasonal RMSE was the lowest in winter (3.72). The results from a linear regression analysis for examining the relationship among AWS, LST, and auxiliary data show that the coefficient of determination was the highest in winter (0.818) but the lowest in summer (0.078), thereby indicating a significant level of seasonal variation. Based on these results, we utilized a variety of Kriging techniques to estimate the surface temperature. The results of cross-validation in each Kriging model show that the measure of model accuracy was 1.71, 1.71, 1.848, and 1.630 for universal Kriging, ordinary Kriging, cokriging, and regression Kriging, respectively. The estimates from regression Kriging thus proved to be the most accurate among the Kriging methods compared.

Estimation of Spatial Distribution Using the Gaussian Mixture Model with Multivariate Geoscience Data (다변량 지구과학 데이터와 가우시안 혼합 모델을 이용한 공간 분포 추정)

  • Kim, Ho-Rim;Yu, Soonyoung;Yun, Seong-Taek;Kim, Kyoung-Ho;Lee, Goon-Taek;Lee, Jeong-Ho;Heo, Chul-Ho;Ryu, Dong-Woo
    • Economic and Environmental Geology
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    • v.55 no.4
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    • pp.353-366
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    • 2022
  • Spatial estimation of geoscience data (geo-data) is challenging due to spatial heterogeneity, data scarcity, and high dimensionality. A novel spatial estimation method is needed to consider the characteristics of geo-data. In this study, we proposed the application of Gaussian Mixture Model (GMM) among machine learning algorithms with multivariate data for robust spatial predictions. The performance of the proposed approach was tested through soil chemical concentration data from a former smelting area. The concentrations of As and Pb determined by ex-situ ICP-AES were the primary variables to be interpolated, while the other metal concentrations by ICP-AES and all data determined by in-situ portable X-ray fluorescence (PXRF) were used as auxiliary variables in GMM and ordinary cokriging (OCK). Among the multidimensional auxiliary variables, important variables were selected using a variable selection method based on the random forest. The results of GMM with important multivariate auxiliary data decreased the root mean-squared error (RMSE) down to 0.11 for As and 0.33 for Pb and increased the correlations (r) up to 0.31 for As and 0.46 for Pb compared to those from ordinary kriging and OCK using univariate or bivariate data. The use of GMM improved the performance of spatial interpretation of anthropogenic metals in soil. The multivariate spatial approach can be applied to understand complex and heterogeneous geological and geochemical features.

A Joint Application of DRASTIC and Numerical Groundwater Flow Model for The Assessment of Groundwater Vulnerability of Buyeo-Eup Area (DRASTIC 모델 및 지하수 수치모사 연계 적용에 의한 부여읍 일대의 지하수 오염 취약성 평가)

  • Lee, Hyun-Ju;Park, Eun-Gyu;Kim, Kang-Joo;Park, Ki-Hoon
    • Journal of Soil and Groundwater Environment
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    • v.13 no.1
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    • pp.77-91
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    • 2008
  • In this study, we developed a technique of applying DRASTIC, which is the most widely used tool for estimation of groundwater vulnerability to the aqueous phase contaminant infiltrated from the surface, and a groundwater flow model jointly to assess groundwater contamination potential. The developed technique is then applied to Buyeo-eup area in Buyeo-gun, Chungcheongnam-do, Korea. The input thematic data of a depth to water required in DRASTIC model is known to be the most sensitive to the output while only a few observations at a few time schedules are generally available. To overcome this practical shortcoming, both steady-state and transient groundwater level distributions are simulated using a finite difference numerical model, MODFLOW. In the application for the assessment of groundwater vulnerability, it is found that the vulnerability results from the numerical simulation of a groundwater level is much more practical compared to cokriging methods. Those advantages are, first, the results from the simulation enable a practitioner to see the temporally comprehensive vulnerabilities. The second merit of the technique is that the method considers wide variety of engaging data such as field-observed hydrogeologic parameters as well as geographic relief. The depth to water generated through geostatistical methods in the conventional method is unable to incorporate temporally variable data, that is, the seasonal variation of a recharge rate. As a result, we found that the vulnerability out of both the geostatistical method and the steady-state groundwater flow simulation are in similar patterns. By applying the transient simulation results to DRASTIC model, we also found that the vulnerability shows sharp seasonal variation due to the change of groundwater recharge. The change of the vulnerability is found to be most peculiar during summer with the highest recharge rate and winter with the lowest. Our research indicates that numerical modeling can be a useful tool for temporal as well as spatial interpolation of the depth to water when the number of the observed data is inadequate for the vulnerability assessments through the conventional techniques.