应用联合多重分形理论研究了0～20 cm土层土壤含水率、土壤电导率、砂粒含量、粘粒含量、粗粉粒含量、土壤粒径分布体积分形维数、土壤容重、有机质含量的空间变异性与20 ～ 40 cm土层对应变量空间变异性在多尺度上的相互关系.结果表明:相对于0 ～20 cm土层上述变量的空间变异性,20 ～ 40 cm土层粗粉粒含量、有机质含量空间变异性的变化率最大,土壤电导率、粘粒含量、土壤粒径分布体积分形维数空间变异性的变化率最小,砂粒含量、土壤含水率、土壤容重空间变异性的变化率介于两者之间；多尺度上,0～20 cm土层土壤含水率、土壤容重、有机质含量、粘粒含量、砂粒含量、土壤电导率、土壤粒径分布体积分形维数、粗粉粒含量与20 ～ 40 cm土层对应变量空间变异性在多尺度上的相关性依次减弱.%Relationship between spatial variability of soil water content, soil electrical conductivity, sand content, clay content, slit content, fractal dimension of soil particle-size distribution, bulk density and organic matter content in 0 ~ 20 cm soil layer and their spatial variabilty in 20 ~ 40 cm soil layer at multiple scale was studied with joint multifractal. The results showed that changing ration for spatial variability of slit content and organic matter content was the largest, the one for spatial variability of soil electrical conductivity, clay content and fractal dimension of soil particle-size distribution was the least, and the one for spatial variability of sand content, soil water content and bulk density lay between the two in 20 ~ 40 cm soil layer compared with spatial variability of corresponding variables in 0 ~ 20 cm soil layer; at multiple scale, relationship between spatial variability of soil water content, bulk density, organic matter content, clay content, sand content, soil electrical conductivity, fractal dimension of soil particle-size distribution and slit content in 0 ~20 cm soil layer and corresponding soil properties in 20 ~ 40 cm soil layer decreased gradually.
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