• Title/Summary/Keyword: Semi-variogram

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대형 할인점 매출 데이터를 이용한 Semi-Variogram의 추정과 거리에 의한 할인점 이용권 지도 작성에 관한 연구

  • Yu, Seong-Mo;Yun, Yeon-Sang;Kim, Gi-Hwan
    • 한국데이터정보과학회:학술대회논문집
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    • 2006.04a
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    • pp.99-108
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    • 2006
  • 대형 할인점 매출 데이터는 G-CRM, 에어기어 마케팅(Area Marketing)에 활용하기 위해 고객의 구매정보와 위치정보를 포함한다. TM중부좌표로 이루어진 고객 위치정보를 이용하여 지점간의 거리를 구할 수 있다. 서로 다른 위치에서 통시에 측정된 자료들이 공간적인 변인에 의하여 영향을 받는다면, 공간적인 변인의 함수식에 의한 예측모형을 설정하는 것이 타당하다. 본 연구에서는 공간적인 변인으로 거리가 주어졌을 때, 대형 할인점 매출 자료에 대한 세미베리오그램(Semi-Variogram)의 모형을 추정하고, 관측되지 않은 지역에 대한 할인점 이용권을 공간예측기법으로 예측하였다. 그리고 공간예측 기법을 통해 예측된 할인점 이용권을 토대로 할인점 이용권 지도를 작성하였다. 또한 매출 데이터의 공간이상치 탐지를 위한 방법을 제시하고 실례로 알아보았다.

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Estimation of Spatial Coherency Functions for Kriging of Spatial Data (공간데이터 크리깅 적용을 위한 공간상관함수 추정)

  • Bae, Tae-Suk
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.34 no.1
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    • pp.91-98
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    • 2016
  • In order to apply Kriging methods for geostatistics of spatial data, an estimation of spatial coherency functions is required priorly based on the spatial distance between measurement points. In the study, the typical coherency functions, such as semi-variogram, homeogram, and covariance function, were estimated using the national geoid model. The test area consisting of 2°×2° and the Unified Control Points (UCPs) within the area were chosen as sampling measurements of the geoid. Based on the distance between the control points, a total of 100 sampling points were grouped into distinct pairs and assigned into a bin. Empirical values, which were calculated with each of the spatial coherency functions, resulted out as a wave model of a semi-variogram for the best quality of fit. Both of homeogram and covariance functions were better fitted into the exponential model. In the future, the methods of various Kriging and the functions of estimated spatial coherency need to be studied to verify the prediction accuracy and to calculate the Mean Squared Prediction Error (MSPE).

Evaluation of the Population Distribution Using GIS-Based Geostatistical Analysis in Mosul City

  • Ali, Sabah Hussein;Mustafa, Faten Azeez
    • Korean Journal of Remote Sensing
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    • v.36 no.1
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    • pp.83-92
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    • 2020
  • The purpose of this work was to apply geographical information system (GIS) for geostatistical analyzing by selecting a semi-variogram model to quantify the spatial correlation of the population distribution with residential neighborhoods in the both sides of Mosul city. Two hundred and sixty-eight sample sites in 240 ㎢ are adopted. After determining the population distribution with respect to neighborhoods, data were inserted to ArcGIS10.3 software. Afterward, the datasets was subjected to the semi-variogram model using ordinary kriging interpolation. The results obtained from interpolation method showed that among the various models, Spherical model gives best fit of the data by cross-validation. The kriging prediction map obtained by this study, shows a particular spatial dependence of the population distribution with the neighborhoods. The results obtained from interpolation method also indicates an unbalanced population distribution, as there is no balance between the size of the population neighborhoods and their share of the size of the population, where the results showed that the right side is more densely populated because of the small area of residential homes which occupied by more than one family, as well as the right side is concentrated in economic and social activities.

Estimating Precise Spatio-Temporal Distribution of Weather Condition Using Semi-Variogram in Small Scale Recreation Forest (Semi-Variogram을 이용한 소규모 자연휴양림 내기상조건의 정밀 시공간 분포 추정)

  • LIM, Chul-Hee;RYU, Dong-Hoon;SONG, Chol-Ho;ZHU, Yong-Yan;LEE, Woo-Kyun;KIM, Min-Seon
    • Journal of the Korean Association of Geographic Information Studies
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    • v.18 no.3
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    • pp.63-75
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    • 2015
  • As forest therapy is getting more attention than ever, it is important to organize time for activity and location based on spatio-temporal distribution of weather condition in forest. This study aimed to analyze precise spatio-temporal distribution of weather condition by installing long-term weather monitoring device in Yonghyun national natural recreation forest and using acquired weather data in order to support forest recreation and therapy activity. First, we statistically compared 4 models of semi-variogram and the results were all similar. We selected and analyzed the circular model for this study because it was presumed to be the best model for this case. We derived 128 results from the circular model and through semi-variogram, we identified seasonal and temporal distributions of temperature and humidity. Then, we used boxplot, made of partial sill level, to identify significant differences in seasonal and temporal distributions. As a result, in spring and early morning, both temperature and humidity showed equalized result. On the other hand, in summer and early afternoon, both temperature and humidity showed uneven result. In spring and early morning, changes in weather condition are shown little from spatial shifting, it is ideal to perform recreational activities and forest therapy but in summer and early afternoon, it is unadvisable to do so as the changes in weather condition could be harmful unless any other means of preparations are made. This study proposes its significance by analyzing seasonal micro-weather of single recreation forest and presenting seasonal and temporal outcomes.

A ROBUST ESTINMATOR FOR INTERPOLATING REGIONALIZED VARIABLES

  • SUNGKWON KANG
    • Journal of applied mathematics & informatics
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    • v.4 no.2
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    • pp.419-432
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    • 1997
  • A robust estimator for interpolating spatially distributed regionalized variables is introduced. It reduces outlier effects on ob-taining correlation between spatial lags and the correlation between spatial lags and the corresponding semi-variances and produces a significaantly improved semivariogram com-pared with those of conventional estimators. This estimator is applied to a field experimental data set.

Estimating Spatio-Temporal Distribution of Climate Factors in Andong Dam Basin (안동댐 유역 기상인자의 시공간분포 추정)

  • Lim, Chul Hee;Moon, Joo Yeon;Lim, Yoon Jin;Kim, Sea Jin;Lee, Woo Kyun
    • Journal of Korean Society for Geospatial Information Science
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    • v.23 no.4
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    • pp.57-65
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    • 2015
  • This study investigates characteristics of time series spatial distribution on climate factors in Andong Dam basin by estimating precise spatio-temporal distribution of hydro-meteorological information. A spatio-temporal distribution by estimating Semi-Variogram based on spatial autocorrelation was examined using the data from ASOS and 7 hydro-meteorological observatories in Andong Dam basin of upper Nakdonggang River, which were installed and observed by NIMR(National Institute of Meterological Research). Also, temperature and humidity as climate variables were analyzed and it was recognized that there is a variability in watershed area by time and months. Regardless of season, an equal spatial distribution of temperature at 14 o'clock and humidity at 10 o'clock was identified, and nonequal distribution was noticed for both variables at 18 o'clock. From monthly spatial analysis, the most unequal distribution of temperature was seen in January, and the most equal distribution was detected in September. The most unequal distribution of humidity was identified in May, and the most equal distribution was seen in January. Unlike in forest, seasonal spatial distribution characteristics were less apparent;but temperature and humidity had respective characteristics in hydro-meteorology.

Precipitation Analysis Based on Spatial Linear Regression Model (공간적 상관구조를 포함하는 선형회귀모형을 이용한 강수량 자료 분석)

  • Jung, Ji-Young;Jin, Seo-Hoon;Park, Man-Sik
    • The Korean Journal of Applied Statistics
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    • v.21 no.6
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    • pp.1093-1107
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    • 2008
  • In this study, we considered linear regression model with various spatial dependency structures in order to make more reliable prediction of precipitation in South Korea. The prediction approaches are based on semi-variogram models fitted by least-squares estimation method and restricted maximum likelihood estimation method. We validated some candidate models from the two different estimation methods in terms of cross-validation and comparison between predicted values and observed values measured at different locations.

Spatial Analysis of Flood Rainfall Based on Kriging Technique in Nakdong River Basin (크리깅 기법을 이용한 낙동강 유역 홍수강우의 공간해석 연구)

  • Yoon, Kang-Hoon;Seo, Bong-Chul;Shin, Hyun-Suk
    • Journal of Korea Water Resources Association
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    • v.37 no.3
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    • pp.233-240
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    • 2004
  • Most of hydrological analyses in the field of water resources are launched by gathering and analyzing rainfall data. Several methods have been developed to estimate areal rainfall from point rainfall data and to fill missing or ungaged data. Thiessen and Reciprocal Distance Squared(RDS) methods whose parameters are only dependent on inter-station distance are classical work in hydrology, but these techniques do not provide a continuous representation of the hydrologic process involved. In this study, kriging technique was applied to rainfall analysis in Nakdong river basin in order to complement the defects of these classical methods and to reflect spatial characteristics of regional rainfall. After spatial correlation and semi-variogram analyses were performed to perceive regional rainfall property, kriging analysis was performed to interpolate rainfall data for each grid Thus, these procedures were enable to estimate average rainfall of subbasins. In addition, poor region of rainfall observation was analyzed by spatial interpolation error for each grid and mean error for each subbasin.

Ordinary Kriging of Daily Mean SST (Sea Surface Temperature) around South Korea and the Analysis of Interpolation Accuracy (정규크리깅을 이용한 우리나라 주변해역 일평균 해수면온도 격자지도화 및 내삽정확도 분석)

  • Ahn, Jihye;Lee, Yangwon
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.40 no.1
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    • pp.51-66
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    • 2022
  • SST (Sea Surface Temperature) is based on the atmosphere-ocean interaction, one of the most important mechanisms for the Earth system. Because it is a crucial oceanic and meteorological factor for understanding climate change, gap-free grid data at a specific spatial and temporal resolution is beneficial in SST studies. This paper examined the production of daily SST grid maps from 137 stations in 2020 through the ordinary kriging with variogram optimization and their accuracy assessment. The variogram optimization was achieved by WLS (Weighted Least Squares) method, and the blind tests for the interpolation accuracy assessment were conducted by an objective and spatially unbiased sampling scheme. The four-round blind tests showed a pretty high accuracy: a root mean square error between 0.995 and 1.035℃ and a correlation coefficient between 0.981 and 0.982. In terms of season, the accuracy in summer was a bit lower, presumably because of the abrupt change in SST affected by the typhoon. The accuracy was better in the far seas than in the near seas. West Sea showed better accuracy than East or South Sea. It is because the semi-enclosed sea in the near seas can have different physical characteristics. The seasonal and regional factors should be considered for accuracy improvement in future work, and the improved SST can be a member of the SST ensemble around South Korea.

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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