张娜,张红玲,屈忠义,张栋良.内蒙古河套灌区不同土层有机质空间变异的分形[J].干旱地区农业研究,2017,35(5):157~163
内蒙古河套灌区不同土层有机质空间变异的分形
Fractal study on organic matter spatial heterogeneity of different soil layers in Inner Mongolia Hetao Irrigation District
  
DOI:10.7606/j.issn.1000-7601.2017.05.23
中文关键词:  有机质  不同土层  空间异质性  多重分形  联合多重分形  内蒙古河套灌区
英文关键词:organic matter  different soil layers  spatial variation  multifractal  joint multifractal  Inner Mongolia hetao irrigation district
基金项目:国家自然科学基金项目(51469020)
作者单位
张娜 内蒙古农业大学水利与土木建筑工程学院 内蒙古 呼和浩特 010018
宁夏回族自治区水利科学研究院 宁夏 银川 750021 
张红玲 宁夏回族自治区水利科学研究院 宁夏 银川 750021 
屈忠义 内蒙古农业大学水利与土木建筑工程学院 内蒙古 呼和浩特 010018 
张栋良 内蒙古农业大学水利与土木建筑工程学院 内蒙古 呼和浩特 010018 
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中文摘要:
      以内蒙古河套灌区解放闸灌域为研究对象,以区域内间隔4 km等间距112个取样点共448个样本为基础,通过多重分形及联合多重分形方法,对有机质含量在不同土层(0~20 cm、20~40 cm、40~70 cm与70~100 cm)的空间变异特性及其相互关系进行研究。结果显示,有机质含量0~20 cm至70~100 cm土层的多重分形谱宽度依次为0.933、0.795、0.824、0.805,即在0~20 cm土层空间变异性最大,而20~40 cm土层空间变异性最小。不同土层多重分形谱曲线均表现为左钩状(Δf>0),表明在灌域内土壤有机质的空间分布中,数值较大的数据占主导地位。同时从土壤表层到埋深1 m处D(1)/D(0)依次为0.983、0.980、0.973、0.965,其值逐渐减小,即空间分布逐渐由密集区域向稀疏区域转化。联合多重分形分析表明0~20 cm土层与20~40 cm、40~70 cm土层空间变异相关程度较高,而与70~100 cm土层空间变异相关程度较低。
英文摘要:
      The Jiefangzha irrigation district in the Inner Mongolia Hetao irrigation area was taken as research subject. Based on 448 samples of 112 sampling points at 4 km of interval distance in the region, and using multi-fractal and joint multi-fractal method, we studied the spatial variability of organic matter concentration in different soil layers (0~20 cm, 20~40 cm, 40~70 cm, 70~100 cm) and their characteristics in the multiscale correlation. Results showed that the organic matter concentration in 20~40 cm soil layer had the smallest spatial variability, and in the surface was the strongest(Δα of 0~20 cm to 70~100 cm soil layer was 0.933、0.795、0.824 and 0.805). The multi-fractal spectrum curve of different layers showed a left hook (Δf>0), indicating that the larger data dominated. Also, the spatial distribution gradually transformed from the dense region to the sparse region from the surface to the 1m depth(D(1)/D(0) from the surface to the 1 m depth was 0.983、0.980、0.973 and 0.965). The joint multi-fractal contour map and the corresponding singular index of different soil layers showed that the correlation between 0~20 cm and 20~40 cm、40~70 cm were relatively high, but with 70~100 cm soil layer was relatively low.
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