时空积和模型的数据插值与交叉验证

Spatiotemporal Interpolation and Cross Validation Based on Product-Sum Model

研究了时空变异函数和协方差函数的积和模型并将其推导成能够实现的形式,提出了时空权重系数的计算矩阵、基于该矩阵实现了积和模型的时空插值,并用时空交叉验证来验证了插值数据的有效性。实验表明,本方法能为时空随机领域以一定的精度提供较多的信息,从而达到时空插值的目的。

In this paper, firstly, the expression of spatiotemporal is implemented; secondly, spatiotemporal product-sum model is analyzed and deduced into another one which can be calculated; thirdly, the spatiotemporal weight coefficient matrix based on ordinary kriging is put forward and the spatiotemporal interpolation is done based on this matrix; lastly, the performance of spatiotemporal interpolation is tested by cross validation. The experiment shows that spatiotemporal interpolation researched in here can provide more information on spatiotemporal random domain with some certain accuracy so as to achieve the spatiotemporal interpolation results.