玛纳斯河流域土壤斑块标度频度分形关系初探

摘要/Abstract

摘要： 分形理论在研究不规则几何图形方面优越性显著。作者运用分形理论和景观生态学原理,在讨论了玛纳斯河流域土壤类型分布格局的基础上,对土壤图斑面积与斑块形状指数的标度-频度关系进行了定量分析。主要结果是:①玛纳斯河流域土壤类型多样性指数为2.834,最大斑块指数为8.885。两种景观指数值都较大,说明虽然流域内土壤类型的丰富度较高,但其土壤斑块却由少数几种土壤类型所控制。②玛纳斯河流域土壤斑块面积与斑块形状指数标度-频度双对数回归分析的相关系数均大于95%,其相关关系显著。③玛纳斯河流域土壤斑块面积与斑块形状指数的标度-频度分形关系是客观存在的,并不受统计所选的标度影响,具有标度不变性。

关键词: 土壤斑块, 分形理论, 标度-频度关系, 标度不变性

Abstract: The superiority of fractal theory in describing the irregular geometry is very significant. The authors first investigated the spatial distribution pattern of soil types in the Manas River Basin, then quantitatively analyzed the scale-frequency characteristics of soil patch area and shape index based on the fractal theory and the landscape ecology principle. Main conclusions are as follows: (1)The diversity index of soil types is 2.834, and the biggest patch index is 8.885. Both indices are comparatively high, and it indicates that soil patches are dominated by a few soil types though the diversity of soil types is high in the study area. (2)The scale-frequency correlation coefficients of the patch area and the patch shape index are more than 95%, and the relationship is significant. (3)The scale-frequency correlation of the soil patch area and the patch shape index in the Manas River Basin is objective, and it is not affected by the selection of scales of the soil patch area and the patch shape index.

Key words: soil patches, fractal theory, scale-frequency, scale invariance

中图分类号:

S159

禹朴家;;徐海量*;乔木;安红燕;刘世薇;. 玛纳斯河流域土壤斑块标度频度分形关系初探[J]. 中国沙漠, 2011, 31(3): 729-734.

YU Pu-jia;;XU Hai-liang;QIAO Mu;AN Hong-yan;LIU Shi-wei;. Scale-Frequency Fractal Characteristics of Soil Patches in Manas River Basin[J]. JOURNAL OF DESERT RESEARCH, 2011, 31(3): 729-734.

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