克里金插值平滑效应校正及凤冈县富硒茶园适宜区研究

doi:10.3864/j.issn.0578-1752.2013.03.013

摘要/Abstract

摘要： 【目的】研究克里金插值数据平滑效应的校正方法及其在富硒茶园适宜区研究中的应用。【方法】用采样点插值表面估计值和实测值极差和标准差的相对变化率定量表示克里金插值的平滑效应，用样点插值表面估计值和实测值的最小值、平均值和最大值之间的一元二次回归方程为校正函数，用贵州省凤冈县0-20 cm土层的pH和全硒含量校正克里金插值表面叠加分析研究富硒茶园适宜区。【结果】（1)极差平滑率和标准差平滑率可分别描述克里金插值数据变化范围平滑效应和数据变异程度平滑效应，凤冈县土壤pH和硒含量普通克里金插值的极差平滑率和标准差平滑率分别为68.30%、69.51%和65.33%、60.00%。（2）校正后凤冈县土壤pH插值表面估计值极差平滑率和标准差平滑率分别为0.00%和6.10%，硒含量插值表面估计值极差平滑率和标准差平滑率均为0。文中的校正方法可完美消除普通克里金插值平滑效应，同时保证插值结果无偏估计特性。（3）校正后插值表面叠加分析结果表明，凤冈县富硒茶园适宜区面积为49.63 km2，占全县土地总面积的2.64%，主要分布在该县永安镇田坝村及附近。【结论】用样点插值表面估计值和实测值的最小值、平均值和最大值之间的一元二次回归方程对克里金插值表面进行校正简单易行，基于校正表面富硒茶园适宜区分析结果与现实情况吻合良好。

关键词: 克里金 , 平滑效应 , 校正处理 , 富硒茶园 , 凤冈县

Abstract: 【Objective】 The smoothing effect of Ordinary Kriging, quantitative description and correction method, application of correction in selenium-rich tea garden suitable region in Fenggang county of Guizhou province were studied.【Method】Standard deviation and range smoothing rates were introduced to quantify smoothing effect. A quadratic regression equation based on minimum, average and maximum of measured values of sampling points and extracted values from interpolating surface to correct smoothing effect. And suitable region of selenium-rich tea garden by overlaying corrected surface was also done. 【Result】 The smoothing rates of range and standard deviation could describe the smoothing effect of Kriging in scope and variation of the data, respectively. The smoothing rates of range and standard deviation were 68.30% and 69.51% for pH and 65.33% and 60.00% for total Se. The smoothing rates of range and standard deviation were 0.00% and 6.10% for pH for corrected surface’s derived values and that were both 0.00% for total Se. The correction method developed in this paper could perfectly eliminate the smoothing effect, and ensure the unbiased estimate of the interpolation results. The suitable region of selenium-rich tea garden is 49.63 km2, which is 2.64% of the county, and which is mainly distributed in and around Tianba village, Yong’an town. 【Conclusion】The correct method developed this paper is simple, and the analyzed result of suitable region of selenium-rich tea garden based on the corrected Ordinary Kriging method is of good agreement with the actual situation.

Key words: Kriging , smoothing effect , correction , selenium-rich tea garden , Fenggang County

段建军, 赖飞, 王小利, 张崇玉, 冯跃华. 克里金插值平滑效应校正及凤冈县富硒茶园适宜区研究[J]. 中国农业科学, 2013, 46(3): 564-574.

DUAN Jian-Jun, LAI Fei, WANG Xiao-Li, ZHANG Chong-Yu, FENG Yue-Hua. Correction of Kriging’s Smoothing Effect and Suitability of Selenium- Rich Tea Garden in Fenggang County of Guizhou Province[J]. Scientia Agricultura Sinica, 2013, 46(3): 564-574.

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