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- 2017
基于扩展场强模型的稀疏AQI空间插值新算法
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Abstract:
针对空气质量指数（AQI）监测点分布稀疏，现有空间插值算法精度不高问题，提出了新的扩展场强模型与算法。扩展场强单参数模型引入参数c控制场强衰减程度，通过c与误差关系图并借助二分查找法计算最优c值。扩展场强双参数模型加入参数k调整场强影响范围，通过c、k与误差关系图并借助迭代双线性插值法求解最优c、k组合。以北京、天津、武汉、郑州四个城市2014-08~2015-04的50组AQI监测值为实验数据，采用交叉验证法并以RMSE、AME、PAEE为评价指标，实现了单参与双参模型及参数选取，然后与克里金法及类似的反距离加权法进行对比。实验证明，扩展场强模型能够得到针对稀疏AQI的更高插值精度，且双参数模型精度高于单参数模型。本文算法适用于采样点数目与位置均固定的稀疏数据插值，并可推广至其他类型与维度的空间数据
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