首页> 中文期刊> 《国土与自然资源研究》 >基于回归克立格法的土地整治项目区高精度DEM构建研究

基于回归克立格法的土地整治项目区高精度DEM构建研究

         

摘要

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。%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.

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