The Korean Journal of Applied Statistics (응용통계연구)

The Korean Statistical Society (한국통계학회)
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On the Hierarchical Modeling of Spatial Measurements from Different Station Networks

다양한 관측네트워크에서 얻은 공간자료들을 활용한 계층모형 구축

  • Choi, Jieun (Department of Statistics, Sungshin Women's University) ;
  • Park, Man Sik (Department of Statistics, Sungshin Women's University)
  • 최지은 (성신여자대학교 통계학과) ;
  • 박만식 (성신여자대학교 통계학과)
  • Received : 2012.12.26
  • Accepted : 2013.01.03
  • Published : 2013.02.28
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Abstract

Geostatistical data or point-referenced data have the information on the monitoring stations of interest where the observations are measured. Practical geostatistical data are obtained from a wide variety of observational monitoring networks that are mainly operated by the Korean government. When we analyze geostatistical data and predict the expectations at unobservable locations, we can improve the reliability of the prediction by utilizing some relevant spatial data obtained from different observational monitoring networks and blend them with the measurements of our main interest. In this paper, we consider the hierarchical spatial linear model that enables us to link spatial variables from different resources but with similar patterns and guarantee the precision of the prediction. We compare the proposed model to a classical linear regression model and simple kriging in terms of some information criteria and one-leave-out cross-validation. Real application deals with Sulfur Dioxide($SO_2$) measurements from the urban air pollution monitoring network and wind speed data from the surface observation network.

지리통계자료는 관측지점이 지도 상에 점으로 표현되고 그 지점에서만 자료가 관측되는 측정값이다. 이러한 지리통계자료는 매우 다양한 관측망에서부터 얻어진다. 지리통계자료를 분석하고 예측함에 있어서 하나의 자료만 이용하는 것보다는 유사한 패턴을 갖는 다른 관측망에서 얻어지는 여러 자료들을 함께 사용한다면 예측력을 향상시킬 수 있을 것이다. 본 논문에서는 서로 다른 관측망에서 얻은 두 가지의 공간자료를 이용하여 분석 및 예측하고 이를 위해 공간적 연관성을 파악할 수 있는 적절한 계층모형을 구축하였다. 그리고 선형회귀모형에 근간을 둔 크리깅 결과와 계층모형 하에서의 결과를 여러 검증방법을 통해 비교하였다. 이 논문에서는 도시대기측정망에서 측정된 이산화황과 지상기상관측망에서 측정된 풍속자료를 이용하여 계층모형을 구축하고 이산화황만을 이용한 선형모형과 비교하였다. 또한 각 모형에 의한 이산화황 예측지도를 구성하였다.

Keywords

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