• 제목/요약/키워드: Spatial Error Model

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공간회귀모형을 이용한 대구경북 지역 단위면적당 아파트 매매가격 예측 (Prediction of apartment prices per unit in Daegu-Gyeongbuk areas by spatial regression models)

  • 이우정;박철용
    • Journal of the Korean Data and Information Science Society
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    • 제26권3호
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    • pp.561-568
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    • 2015
  • 이 연구에서는 공간회귀모형 중 공간시차모형과 공간오차모형을 이용하여 대구 경북 지역 단위면적당 아파트 매매가격을 예측하였다. k-최근접이웃 (k-nearest neighbours)을 이용하여 공간가중행렬을 구축하였으며, 이를 이용해 2012년 3월의 단위면적당 아파트 매매가격에 대한 모형을 적합시켰다. 적합시킨 공간시차모형, 공간오차모형을 이용하여 2013년 3월의 단위면적당 아파트 매매가격을 예측하였으며 RMSE (root mean squared error), RRMSE (root relative mean squared error), MAE (mean absolute error)를 통해 두 모형의 성능을 비교하였다.

인근지역 범위 설정이 공간회귀모형 적합에 미치는 영향 (The Effects of Neighborhood Segmentation on the Adequacy of a Spatial Regression Model)

  • 이창로;박기호
    • 대한지리학회지
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    • 제48권6호
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    • pp.978-993
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    • 2013
  • 공간회귀모형은 공간가중행렬을 통해 공간관계를 명시적으로 정량화한다는 점에서 타 모형과 뚜렷하게 구별되는 강점이 있는 동시에, 공간가중행렬 구성에 자의성이 개입된다는 약점을 가지고 있기도 하다. 본 연구에서는 공간가중행렬의 구성에 따라 모형 적합도가 어떻게 변화하는지 인천시를 사례로 실증적으로 검토하였다. 또한 인근지역 범위 설정에 따라 공간시차모형(spatial lag model) 또는 공간오차모형(spatial error model) 중 어떠한 모형이 보다 우수하게 나타는지 검토하였다. 분석 결과, 토지가격 추정에 있어 인근지역 범위를 좁게 파악하는 공간가중행렬을 구성할수록 모형 적합도가 전반적으로 개선되는 것이 확인되었다. 또한, 공간적 이질성이 심한 지역은 공간오차모형의 적합도가 보다 우수한 것으로 파악되었다. 공간적 이질성이 심한 지역은 동질적 성격을 갖는 하부 인근지역으로 세분함으로써 그러한 이질성을 완화시킬 수 있었고, 그 결과 공간오차모형보다 공간시차모형의 적합도가 우수하게 나타날 수 있음을 밝혔다.

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Analysis of Linear Regression Model with Two Way Correlated Errors

  • Ssong, Seuck-Heun
    • Journal of the Korean Statistical Society
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    • 제29권2호
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    • pp.231-245
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    • 2000
  • This paper considers a linear regression model with space and time data in where the disturbances follow spatially correlated error components. We provide the best linear unbiased predictor for the one way error components. We provide the best linear unbiased predictor for the one way error component model with spatial autocorrelation. Further, we derive two diagnostic test statistics for the assessment of model specification due to spatial dependence and random effects as an application of the Lagrange Multiplier principle.

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Selection of Spatial Regression Model Using Point Pattern Analysis

  • Shin, Hyun Su;Lee, Sang-Kyeong;Lee, Byoungkil
    • 한국측량학회지
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    • 제32권3호
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    • pp.225-231
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    • 2014
  • When a spatial regression model that uses kernel density values as a dependent variable is applied to retail business data, a unique model cannot be selected because kernel density values change following kernel bandwidths. To overcome this problem, this paper suggests how to use the point pattern analysis, especially the L-index to select a unique spatial regression model. In this study, kernel density values of retail business are computed by the bandwidth, the distance of the maximum L-index and used as the dependent variable of spatial regression model. To test this procedure, we apply it to meeting room business data in Seoul, Korea. As a result, a spatial error model (SEM) is selected between two popular spatial regression models, a spatial lag model and a spatial error model. Also, a unique SEM based on the real distribution of retail business is selected. We confirm that there is a trade-off between the goodness of fit of the SEM and the real distribution of meeting room business over the bandwidth of maximum L-index.

Impacts of temporal dependent errors in radar rainfall estimate for rainfall-runoff simulation

  • Ko, Dasang;Park, Taewoong;Lee, Taesam
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2015년도 학술발표회
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    • pp.180-180
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    • 2015
  • Weather radar has been widely used in measuring precipitation and discharge and predicting flood risks. The radar rainfall estimate has one of the essential problems in terms of uncertainty and accuracy. Previous study analyzed radar errors to reduce its uncertainty or to improve its accuracy. Furthermore, a recent analyzed the effect of radar error on rainfall-runoff using spatial error model (SEM). SEM appropriately reproduced radar error including spatial correlation. Since the SEM does not take the time dependence into account, its time variability was not properly investigated. Therefore, in the current study, we extend the SEM including time dependence as well as spatial dependence, named after Spatial-Temporal Error Model (STEM). Radar rainfall events generated with STEM were tested so that the peak runoff from the response of a basin could be investigated according to dependent error. The Nam River basin, South Korea, was employed to illustrate the effects of STEM on runoff peak flow.

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Asymptotic Properties of the Disturbance Variance Estimator in a Spatial Panel Data Regression Model with a Measurement Error Component

  • Lee, Jae-Jun
    • Communications for Statistical Applications and Methods
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    • 제17권3호
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    • pp.349-356
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    • 2010
  • The ordinary least squares based estimator of the disturbance variance in a regression model for spatial panel data is shown to be asymptotically unbiased and weakly consistent in the context of SAR(1), SMA(1) and SARMA(1,1)-disturbances when there is measurement error in the regressor matrix.

농업기상 결측치 보정을 위한 통계적 시공간모형 (A Missing Value Replacement Method for Agricultural Meteorological Data Using Bayesian Spatio-Temporal Model)

  • 박다인;윤상후
    • 한국환경과학회지
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    • 제27권7호
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    • pp.499-507
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    • 2018
  • Agricultural meteorological information is an important resource that affects farmers' income, food security, and agricultural conditions. Thus, such data are used in various fields that are responsible for planning, enforcing, and evaluating agricultural policies. The meteorological information obtained from automatic weather observation systems operated by rural development agencies contains missing values owing to temporary mechanical or communication deficiencies. It is known that missing values lead to reduction in the reliability and validity of the model. In this study, the hierarchical Bayesian spatio-temporal model suggests replacements for missing values because the meteorological information includes spatio-temporal correlation. The prior distribution is very important in the Bayesian approach. However, we found a problem where the spatial decay parameter was not converged through the trace plot. A suitable spatial decay parameter, estimated on the bias of root-mean-square error (RMSE), which was determined to be the difference between the predicted and observed values. The latitude, longitude, and altitude were considered as covariates. The estimated spatial decay parameters were 0.041 and 0.039, for the spatio-temporal model with latitude and longitude and for latitude, longitude, and altitude, respectively. The posterior distributions were stable after the spatial decay parameter was fixed. root mean square error (RMSE), mean absolute error (MAE), mean absolute percentage error (MAPE), and bias were calculated for model validation. Finally, the missing values were generated using the independent Gaussian process model.

Correlation analysis between rotation parameters and attitude parameters in simulated satellite image

  • Yun, Young-Bo;Park, Jeong-Ho;Yoon, Geun-Won;Park, Jong-Hyun
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2002년도 Proceedings of International Symposium on Remote Sensing
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    • pp.553-558
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    • 2002
  • Physical sensor model in pushbroom satellite images can be made from sensor modeling by rotation parameters and attitude parameters on the satellite track. These parameters are determined by the information obtained from GPS, INS, or star tracker. Provided from satellite image, an auxiliary data error is connected directly with an error of rotation parameters and attitude parameters. This paper analyzed how obtaining satellite images influenced errors of rotation parameters and attitude parameters. furthermore, for detailed analysis, this paper generated simulated satellite image, which was changed variously by rotation parameters and attitude parameters of satellite sensor model. Simulated satellite image is generated by using high-resolution digital aerial image and DEM (Digital Elevation Model) data. Moreover, this paper determined correlation of rotation parameter and attitude parameters through error analysis of simulated satellite image that was generated by various rotation parameters and attitude parameters.

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공유 전동킥보드의 공간적 이용특성 분석: 공간자기상관모형을 중심으로 (Analysing Spatial Usage Characteristics of Shared E-scooter: Focused on Spatial Autocorrelation Modeling)

  • 김수재;곽민정;추상호;김상훈
    • 한국ITS학회 논문지
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    • 제20권1호
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    • pp.54-69
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    • 2021
  • 도로교통법이 개정되며 개인형 이동수단(특히, 전동킥보드) 이용에 대한 정책적인 개선방안이 제시되고 있다. 하지만 많은 기기들이 보도 위에 방치되는 등 이용상의 문제점을 해결하고자 하는 논의는 부족한 실정이다. 이에 따라 본 연구에서는 서울시를 200m 격자로 구분하여 공유 전동킥보드의 대여량과 반납량에 영향을 미치는 요인을 분석하고자 한다. 특정공간을 기준으로 집계된 자료의 특성을 반영하기 위해 공간자기상관모형인 공간시차모형과 공간오차모형, 공간더빈모형, 공간더빈오차모형을 구축하였으며, 최종모형으로 공간더빈모형을 선정하였다. 영향요인 분석결과, 인구지표, 토지이용지표, 교통시설지표가 통계적으로 유의하게 영향을 미치는 것으로 분석되었다. 본 연구의 결과는 평일과 주말의 이용특성을 고려한 효율적인 운영방안을 위한 기초자료로 활용될 수 있을 것으로 기대된다.

SPATIAL AND TEMPORAL INFLUENCES ON SOIL MOISTURE ESTIMATION

  • Kim, Gwang-seob
    • Water Engineering Research
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    • 제3권1호
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    • pp.31-44
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    • 2002
  • The effect of diurnal cycle, intermittent visit of observation satellite, sensor installation, partial coverage of remote sensing, heterogeneity of soil properties and precipitation to the soil moisture estimation error were analyzed to present the global sampling strategy of soil moisture. Three models, the theoretical soil moisture model, WGR model proposed Waymire of at. (1984) to generate rainfall, and Turning Band Method to generate two dimensional soil porosity, active soil depth and loss coefficient field were used to construct sufficient two-dimensional soil moisture data based on different scenarios. The sampling error is dominated by sampling interval and design scheme. The effect of heterogeneity of soil properties and rainfall to sampling error is smaller than that of temporal gap and spatial gap. Selecting a small sampling interval can dramatically reduce the sampling error generated by other factors such as heterogeneity of rainfall, soil properties, topography, and climatic conditions. If the annual mean of coverage portion is about 90%, the effect of partial coverage to sampling error can be disregarded. The water retention capacity of fields is very important in the sampling error. The smaller the water retention capacity of the field (small soil porosity and thin active soil depth), the greater the sampling error. These results indicate that the sampling error is very sensitive to water retention capacity. Block random installation gets more accurate data than random installation of soil moisture gages. The Walnut Gulch soil moisture data show that the diurnal variation of soil moisture causes sampling error between 1 and 4 % in daily estimation.

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