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Journal of Arid Land  2013, Vol. 5 Issue (4): 480-487    DOI: 10.1007/s40333-013-0184-9
Brief Communication     
Volume fractal dimension of soil particles and relationships with soil physical-chemical properties and plant species diversity in an alpine grassland under different disturbance degrees
YanYan LIU1, YanMing GONG1, Xin WANG2, YuKun HU1*
1 Key Laboratory of Biogeography and Bioresource in Arid Land, Xinjiang Institute of Ecology and Geography, Chinese Academy of Sciences, Urumqi 830011, China;
2 Xinjiang Branch of Chinese Academy of Sciences, Urumqi 830011, China
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Abstract  Fractal geometry is an important method in soil science, and many studies have used fractal theory to examine soil properties and the relationships with other eco-environmental factors. However, there have been few studies examining soil particle volume fractal dimension in alpine grasslands. To study the volume fractal dimension of soil particles (D) and its relationships with soil salt, soil nutrient and plant species diversity, we conducted an experiment on an alpine grassland under different disturbance degrees: non-disturbance (N0), light disturbance (L), moderate disturbance (M) and heavy disturbance (H). The results showed that (1) Ds varied from 2.573 to 2.635 among the different disturbance degrees and increased with increasing degrees of disturbance. (2) Shannon-Wiener diversity index, Pielou’s evenness index and Margalef richness index reached their highest values at the M degree, indicating that moderate disturbance is beneficial to the increase of plant species diversity. (3) In the L and M degrees, there was a significant positive correlation between D and clay content and a significant negative correlation between D and soil organic matter (SOM). In the H degree, D was significantly and positively correlated with total salt (TS). The results suggested that to a certain extent, D can be used to characterize the uniformity of soil texture in addition to soil fertility characteristics. (4) For the L degree, there was a significant negative correlation between D and the Shannon-Wiener diversity index; while for the M degree, there was a significant negative correlation between D and Pielou’s evenness index.

Received: 14 December 2012      Published: 06 December 2013

The National Basic Research Program of China (2009CB825103).

Corresponding Authors: YuKun HU     E-mail:
Cite this article:

YanYan LIU, YanMing GONG, Xin WANG, YuKun HU. Volume fractal dimension of soil particles and relationships with soil physical-chemical properties and plant species diversity in an alpine grassland under different disturbance degrees. Journal of Arid Land, 2013, 5(4): 480-487.

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Armstrong A C. 1986. On the fractal dimension of some transient soil properties. Journal of Soil Science, 37(4): 641–652.

Burrough P A. 1983. Multiscale sources of spatial variation in soil. I. The application of fractal concepts to nested levels of soil variation. Journal of Soil Science, 34(3): 577–597.

Chen X H, Duan Z H, Tan M L, et al. 2010. Changes in fractal dimension of soil particle during reversal of desertification—A case study in Yanchi County, Ningxia Hui Autonomous Region. Arid Zone Re-search, 27(2): 297–302.

Connell J H. 1978. Diversity in tropical rain forests and coral reefs. Science, 199: 1302–1310.

Erdawlat Merey, Adeli Maidi. 1989. Analysis on environmental condi-tion and suitable utilization of grassland in Bayinbulak. Arid Zone Research, 6(Suppl.): 5–21.

Fan Y G, Hu Y K, Li K H, et al. 2008. Effects of different disturbances on the diversity and biomass of the phytobiocoenoses in alpine steppes. Arid Zone Research, 25(4): 531–536.

Gong A D, He Y R. 2001. Study on fractal features of soil structure of degraded soil in dry and hot valley region of Jinsha River. Journal of Soi1 and Water Conservation, 15(3): 112–115.

Gong Y M, Hu Y K, Adeli Maidi, et al. 2010. Alpine grassland community characteristics at the different stages of degenerating succession in Bayanbulak. Journal of Arid Land Resources and Envi-ronment, 24(6): 149–152.

Hu Y F, Liu J Y, Zhuang D F, et al. 2005. Fractal dimension of soil particle size distribution under different and use/land coverage. Acta Pedologica Sinica, 42(2): 336–339.

Hu Y K, Li K H, Adeli Maidi, et al. 2007. Plant species diversity of alpine grasslands on southern slope of Tianshan Mountain along altitude gradient. Chinese Journal of Ecology, 26(2): 182–186.

Huang G H, Zhan W H. 2002. Fractal property of soil particle size distribution and its application. Acta Pedologica Sinica, 39(4): 490–497.

Jia X H, Li X R, Zhang J G, et al. 2006. Spatial heterogeneity analysis of fractal dimension of soil particle for Amopiptanhus mongolicus shrub. Acta Ecologica Sinica, 26(9): 2827–2833.

Jiang X L, Zhang W G, Yang Z Y, et al. 2003. The influence of disturbance on community structure and plant diversity of alpine meadow. Acta Botanica Boreali-Occidentalla Sinica, 23(9): 1479–1485.

Li B, Yang C, Lin P. 2004. Ecology. Beijing: Higher Education Press, 121.

Li J L, Zhang J T. 2006. Plant species diversity in the middle part of the Taihang Mountain. Chinese Journal of Applied and Environmental Biology, 12(6): 766–771.

Li K H, Gong Y M, Song W, et al. 2012. No significant nitrous oxide emissions during spring thaw under grazing and nitrogen addition in an alpine grassland. Global Change Biology, 18(8): 2546–2554.

Li Y, Wang Q J, Wang W Y, et al. 2005. Distribution and movement characteristics of soil water and soil salt during evaporation from perforated plastic mulch. Plant Nutrition and Fertilizer Science, 11(2): 187–193.

Liu A X, Gao Z L, Li Y H, et al. 2011. Fractal characteristics research on soil aggregates during highway slope vegetation restoration of dif-ferent ages in Guanzhong Plain. Journal of Soil and Water Conser-vation, 25(1): 219–237.

Liu Y Y, Hu Y K, Yu J M, et al. 2008. Study on harmfulness of Pedicularis myriophylla and its control measures. Arid Zone Research, 25(6): 778–782.

Ma K P. 1994. Measurement of biotic community diversity: I. ? diversity (Part 1). Biodiversity Science, 2(3): 162–168.

Mandelbrot B B. 1967. How long is the coast of Britain? Statistical self-similarity and fractional dimension. Science, 156: 636–638.

Mandelbrot B B. 1977. Fractals: Form, Chance and Dimension. San Francisco: Freeman, 352.

Mandelbrot B B. 1982. The Fractal Geometry of Nature. San Francisco: Freeman, 269.

Martin M A, Montero E. 2002. Laser diffraction and mutifractal analysis for the characterization of dry soil volume size distributions. Soil and Tillage Research, 64: 113–123.

Miao C Y, Wang Y F, Wei X, et al. 2007. Fractal characteristics of soil particles in surface layer of black soil. Chinese Journal of Applied Ecology, 18(9): 1987–1993.

Milchunas D G, Sala O E, Lauenroth W K. 1988. A generalized model of the effects of grazing by large herbivores on grassland community structure. The American Naturalist, 132(1): 87–106.

Qiu R H, Yang Y S, Yu X T. 1998. Soil structure characteristics in the plantation of Cunninghamia lanceolata on different rotations. Journal of Beijing Forestry University, 20(4): 6–11.

Ren X, Chu G X, Wang G D, et al. 2009. Fractal dimension characteristics of soil particles in oasis desert Ecotone in southern edge of Junggar Basin. Journal of Desert Research, 29(2): 298–304.

Scott W T, Stephen W W. 1989. Application of fractal mathematics to soil water retention estimation. Soil Science Society of America Journal, 53: 987–996.

Shi Z F, Wang L, Wang J G. 2011. Volume fractal characteristics and significance of soil particles in the Shenmu colliery in north Shanxi province. Arid Zone Research, 28(3): 394–400.

Song Z S. 2006. It is urgent task to recover and comprehensively manage the grassland ecology of Bayingbuluke. Chinese Journal of Agricultural Resources and Regional Planning, 27(1): 21–25.

Tyler S W, Wheatcraft S W. 1992. Fractal scaling of soil particle size distributions: analysis and linitations. Soil Science Society of America Journal, 56(2): 362–369.

Wang G L, Zhou S L, Zhao Q G. 2005. Volume fractal dimension of soil particles and its applications to land use. Acta Pedologica Sinica, 42(4): 545–550.

Wang X, Hu Y K, Rehemudula Adila, et al. 2009. Niche characteristics of Stipa purpurea community in alpine meadow of Bayanbulak. Arid Land Geography, 32(2): 255–260.

Wen L, Dong S K, Zhu L, et al. 2011. The effect of natural factors and disturbance intensity on spacial heterogeneity of plant diversity in alpine meadow. Acta Ecologica Sinica, 31(7): 1844–1854.

Zeng X Q, Liu H P, Lu B J, et al. 2008. Fractal dimension of soil particle-size distribution characteristic in the Beijing Mountains. Journal of Mountain Science, 26(1): 65–70.

Zhang J T. 2004. Quantitative Ecology. Beijing: Science Press, 77–96.

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