• 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.

• Journal of the Korean earth science society
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• v.32 no.3
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• pp.249-264
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• 2011

A multi-Gaussian kriging approach extended to space-time domain is presented for uncertainty modeling as well as time-series mapping of environmental variables. Within a multi-Gaussian framework, normal score transformed environmental variables are first decomposed into deterministic trend and stochastic residual components. After local temporal trend models are constructed, the parameters of the models are estimated and interpolated in space. Space-time correlation structures of stationary residual components are quantified using a product-sum space-time variogram model. The ccdf is modeled at all grid locations using this space-time variogram model and space-time kriging. Finally, e-type estimates and conditional variances are computed from the ccdf models for spatial mapping and uncertainty analysis, respectively. The proposed approach is illustrated through a case of time-series Particulate Matter 10 ($PM_{10}$) concentration mapping in Incheon Metropolitan city using monthly $PM_{10}$ concentrations at 13 stations for 3 years. It is shown that the proposed approach would generate reliable time-series $PM_{10}$ concentration maps with less mean bias and better prediction capability, compared to conventional spatial-only ordinary kriging. It is also demonstrated that the conditional variances and the probability exceeding a certain thresholding value would be useful information sources for interpretation.

• 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.

• Journal of Korean Society of Transportation
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• v.32 no.4
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• pp.380-388
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• 2014

Annual average daily traffic(AADT) serves as important basic data in the transportation sector. AADT is used as design traffic which is the basic traffic volume in transportation planning. Despite of its importance, at most locations, AADT is estimated using short term traffic counts. An accurate AADT is calculated through permanent traffic counts at limited locations. This study dealt with estimating AADT using various models considering both the spatial correlation and time series data. Kriging models which are commonly used spatial statistics methods were applied and compared with each model. Additionally the External Universal kriging model, which includes explanatory variables, was used to assure accuracy of AADT estimation. For evaluation of various kriging methods, AADT estimation error, proposed using national highway permanent traffic count data, was analyzed and their performances were compared. The result shows the accuracy enhancement of the AADT estimation.

• Journal of Korean Society for Geospatial Information Science
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• v.20 no.1
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• pp.93-99
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• 2012

This study aims to identify spatio-temporal land price change pattern in Gongju city including the area incorporated and surrounding area depending on the Multifunctional Administrative City Construction. For this, GIS data was built by calculating the average land price each 209 Dong and Ri by the time of the year 2000, 2005 and 2010 based on. The first, the change in the land price was to identify in the 5-year intervals through a kriging interpolation as a kind of geostatistical techniques. The second, a trend analysis was conducted to know directional change pattern of the east-west axis and the north-south axis. Finally, the weighted mean center was calculated by the land price at a weight to examine moving direction on the center point of land price, point of view. The result is that the land price change pattern appeared visible higher growth on the eastern built in the Multifunctional Administrative City, moving direction on the center point of the land price appeared that the phenomenon was concentrated in the northeastern area.

• Journal of Korean Society for Geospatial Information Science
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• v.22 no.1
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• pp.63-70
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• 2014

This study is to analyze impact of geography and timing on the real transactions prices of apartment complexes in Seoul using data provided by the Ministry of Land, Infrastructure and Transport. The average real transactions and location data of apartment complex was combined into the GIS data. First, the pattern of apartment real transaction price change by period and by area was analyzed by kriging, the one of the spatial interpolation technique. Second, to analyze the pattern of apartment market price change by administrative district(administrative 'Dong' unit), the average of market price per unit area was calculated and converted to Moran I value, which was used to analyze the clustering level of the real transaction price. Through the analysis, spatial-temporal distribution pattern can be found and the type of change can be forecasted. Therefore, this study can be referred as of the base data research for the housing or local policies. Also, the regional unbalanced apartment price can be presented by analyzing the vertical pattern of the change in the time series and the horizontal pattern of the change based on GIS.

• 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.

• Proceedings of the Korea Water Resources Association Conference
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• 2005.05b
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• pp.633-637
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• 2005

강우-유출분석에 있어서 적절한 면적평균강우량의 추정은 유출 결과에 직접적으로 영향을 미치는 매우 중요한 요소이다. 일반적으로 실무에서 가장 많이 이용되고 있는 면적평균강우량 추정방법으로는 산술평균법, Thiessen의 가중평균법 등이 있으며, 이와 같은 방법들은 강우관측소에서 관측한 지점우량 자료로부터 일정면적을 가진 유역 전체에 균일한 강우가 발생한다는 가정아래 면적평균강우량을 추정하는 방법이다. 그러나 강우는 시공간적으로 다양한 특성을 지니며, 특히 우리나라와 같이 강우의 계절성이 심하고 아울러 산악지형의 영향으로 강우의 공간적 변동성이 큰 지역에서 기존의 방법으로 지점강우량을 면적강우량으로 환산한다면 강우의 공간적인 연속을 나타내는 데는 많은 어려움이 있을 것이다. 따라서 본 연구에서는 강우의 공간적인 통계특성을 반영하기위해 크리깅 기법을 이용하여 면적평균강우량을 추정함으로써 유역강우의 공간적인 특성을 반영하였다. 또한 면적평균강우량 추정기법 중 기존 실무에서 널리 사용된 산술평균법 및 Thiessen의 가중평균법을 이용하여 면적평균강우량을 계산하고 각각의 경우에 대한 오차를 평가하였으며, 각 기법들로부터 추정된 면적평균강우 자료를 이용하여 강우-유출분석을 실시함으로써 유역강우의 추정오차가 유출계산에 미치는 영향을 분석하였다.

• Proceedings of the Korea Water Resources Association Conference
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• 2009.05a
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• pp.1370-1374
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• 2009

국지강수로 발생하는 홍수사상을 예측하기 위해서 국내외적으로 레이더 강수량을 활용하고자 하는 연구가 많이 진행되고 있다. 레이더 강수량을 이용하는 주된 목적은 레이더 강수량이 제공하는 강수량의 공간 분포를 최대한 활용하여 단기홍수를 효과적으로 예측하자는데 있다. 레이더 강수량이 강수의 시공간적 특성을 잘 묘사할 수 있는 반면에 강우량에 대한 신뢰성은 의문에 여지가 있다. 이를 위해 다양한 방법을 통해 강우량을 보정하고자 하는 연구가 진행되고 있으나 시공간적 정보를 손실시키지 않고 동시에 강우량의 편차를 보정하는 기술의 발전은 그다지 만족스럽지 않다. 일반적으로 사용되는 지상강수와 지상강수지점의 해당하는 레이더 강수량의 비율을 일괄적으로 모든 격자에 적용하는 GR 공식이 주로 이용되고 있다. 이런 경우 레이더 자료의 공간적 정보의 손실되는 단점이 있다. 이러한 점을 보완하기 위해서 조건부합성 방법이라는 기법을 이용하여 레이더강수의 공간적 특성을 그대로 유지하면서 지점강수량 수준의 분산을 회복하도록 모형을 구성하여 이용하고 있다. 조건부합성 방법에서는 일반적으로 크리깅 방법을 통해 레이더강수와 지점강수량을 공간 분포시켜 사용하게 되는데 이런 경우 Variogram을 추정하는 데 있어서 어려움이 있다. 본 연구에서는 이러한 점을 보완하고자 지점강수량 및 레이더강수량에 대해서 공간분포를 실시할 수 있는 Harmonic Spline기법, Nearest Neighbor기법 등 다양한 Interpolation 기법을 활용한 새로운 조건부합성 기법을 개발하였다. 이를 국내 레이더 강수자료에 적용하여 모형에 대한 신뢰성 및 적합성을 평가하였다.

• Proceedings of the Korea Water Resources Association Conference
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• 2019.05a
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• pp.229-229
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• 2019

본 연구에서는 현행 홍수예보에 활용되고 있는 지점 강우량의 면적강우량 산정 방법인 티센(Thiessen) 방법의 유역 평균 강우량 산정 시 발생하는 구조적 문제점을 검토하여 보았다. 현행지상 강수량계 기반의 면적평균강우량 산정 방법은 호우의 이동 방향에 따라 실제 강우량과 시차가 발생할 수 있는 구조적 문제점을 가지고 있다. 분석 결과 호우의 이동방향에 따른 강우의 시차발생이나 내삽 영역의 불확실성은 지점 강우량 관측의 한계로 티센방법 뿐만 아니라 지점 강우량을 사용하는 다른 내삽 방법에서도 정도의 차이는 있지만 유사하게 나타났다. 그러나 티센방법은 유역별 지점의 가중치(영향영역)가 고정되어 있기 때문에 이러한 현상이 심각하게 나타났다. 즉 현행 티센방법에 의한 지상 강우량의 면적평균 강우량 산정 방법은 시공간적으로 큰 바이어스를 초래가 가능하다. 크리깅 방법을 이용하면 시공간적 바이어스 감소하나 지점 관측의 한계를 완전하게 해소하는데는 미흡한 것으로 나타났다. 따라서 지점강우량 기반의 티센 유역평균 강수량 산정 체계에서 레이더 기반 유역평균 강우량 생산 활용 체계로 전환이 필요하다고 판단된다.