基于多维分形法的土壤养分空间预测
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国家自然科学基金资助项目(41071152、41471186)、公益性行业(农业)科研专项资助项目(201103005-01-01)和农业部科研杰出人才及创新团队资助项目(2012)


Spatial Prediction of Soil Nutrients Based on Multi-dimensional Fractal Methods
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    摘要:

    采用多维分形克里格插值法(Multifractal Krige,Mkrige)对土壤有机质、全氮、有效磷和速效钾4种土壤养分进行空间预测,并以普通克里格法为参照对比,从传统统计学参数、积累曲线、多维分形图像、多维分形参数和特异值等方面深入分析Mkrige法空间预测的效果。结果表明:无论何种分形程度的土壤养分,Mkrige法预测值的积累曲线、多维分形参数和多维分形图像都与实测值最接近;Mkrige法较好地保持了原始样本数据的特异值区,真实反映土壤养分空间分布的混沌状态,空间预测效果较优。土壤有效磷、有机质、全氮和速效钾分形程度依次降低;分形程度越高,Mkrige法空间预测效果越优。

    Abstract:

    Soil is a continuous spatial-temporal heterogeneity with high spatial variability. Soil nutrients are important parts of soil,and scientific and effective spatial prediction of the spatial variability of soil nutrients is the foundation of sustainable utilization of soil. The multi-dimensional fractal (multifractal) Krige method (Mkrige) with Krige method as a reference was used to simulate four types of soil nutrients, i.e., soil organic matter, nitrogen, phosphorus and potassium. Effectiveness of spatial prediction of Mkrige method was deeply analyzed in terms of five aspects, i.e., the traditional statistics, accumulation curve, multi-dimensional fractal images, multi-dimensional parameters and specific values. The results showed that traditional statistics parameters, accumulated value curve, multi-dimensional fractal parameters and multi-dimensional fractal image of the predicted values by Mkrige method were closer to the measured values than that of the predicted values by Krige method for the considered four soil nutrients. Mkrige method can better maintain the specific value area of the original samples, which truly reflected the chaotic state of the spatial distribution of soil nutrients and had a better prediction effect. The fractal degrees of phosphorus, organic matter, total nitrogen and potassium were reduced in order. For Mkrige method, the higher the fractal degree was, the more excellent the prediction effects were.

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陈光,高然,张世文,张立平,叶回春,黄元仿.基于多维分形法的土壤养分空间预测[J].农业机械学报,2015,46(8):159-168. Chen Guang, Gao Ran, Zhang Shiwen, Zhang Liping, Ye Huichun, Huang Yuanfang. Spatial Prediction of Soil Nutrients Based on Multi-dimensional Fractal Methods[J]. Transactions of the Chinese Society for Agricultural Machinery,2015,46(8):159-168

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  • 收稿日期:2014-07-25
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  • 在线发布日期: 2015-08-10
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