CAJ | 학술논문

精确的数字高程模型（DEM）对于土地整治规划设计中的土方工程量的计算以及投资估（概）算的准确性等至关重要。针对由于存在地形趋势引起地统计方法在DEM建模中无法拟合半方差函数模型的问题，本研究以江西省宜丰县土地整治工程项目区为例，研究采用回归克立格方法去除地形空间趋势，构建项目区DEM。结果表明：最小二乘法去除的三次多项式趋势面解释了样点99.94%的方差；球状模型可较好的拟合残差的半方差函数模型，对该模型进行交叉检验表明，模型的平均预测误差、均方误差均较小；均方偏差比为1.045，接近理论最优值1。实测验证样本也进一步证明，回归克立格方法在地形建模方面的精度较高，且比传统的TIN方法有一定的提高。
정학적수자고정모형（DEM）대우토지정치규화설계중적토방공정량적계산이급투자고（개）산적준학성등지관중요。침대유우존재지형추세인기지통계방법재DEM건모중무법의합반방차함수모형적문제，본연구이강서성의봉현토지정치공정항목구위례，연구채용회귀극립격방법거제지형공간추세，구건항목구DEM。결과표명：최소이승법거제적삼차다항식추세면해석료양점99.94%적방차；구상모형가교호적의합잔차적반방차함수모형，대해모형진행교차검험표명，모형적평균예측오차、균방오차균교소；균방편차비위1.045，접근이론최우치1。실측험증양본야진일보증명，회귀극립격방법재지형건모방면적정도교고，차비전통적TIN방법유일정적제고。
Accurate DEM is essential for land remediation design, earthwork calculations and its review of funds. Due to the trend of the terrain, the semivariogram for DEM modeling cannot be fitted well. Therefore, this study employed the method of regression krig-ing to remove the trend of terrain in the land remediation engi-neering in Yifeng County of Jiangxi province. The trend was discovered and treated as a cubic surface with explanation for 99.94 percent of correlated random residuals and spherical model is found to fit somewhat better. The results by crossvalidation show that the spherical variogram estimated by OLS had a small ME, a small MSE and its MSDR was 1.045 that close to theor-etical optimal value 1. Calibration samples measuring is further evidence that Regression kriging is a high precision terrain mod-eling method, and more improvement than some traditional meth-ods, such as method of TIN.