Scientia Agricultura Sinica ›› 2014, Vol. 47 ›› Issue (13): 2591-2601.doi: 10.3864/j.issn.0578-1752.2014.13.011

• SOIL & FERTILIZER·WATER-SAVING IRRIGATION·AGROECOLOGY & ENVIRONMENT • Previous Articles     Next Articles

Characterizing Variation of Topsoil Particle Size Distribution Based on Fractal Theory and Geostatistics

 ZHANG  Shi-Wen-1, 2 , ZHANG  Li-Ping-2, YUAN  Jun-3, SHEN  Zhong-Yang-2, CHEN  Xiao-Yang-1, YE  Hui-Chun-2, HUANG  Yuan-Fang-2   

  1. 1、School of Earth and Environment, Anhui University of Science and Technology, Huainan 232001, Anhui;
    2、College of Resources and Environmental Sciences, China Agricultural University/Key Laboratory of Arable Land Conservation (North China), Ministry  of Agriculture/Key Laboratory of Agricultural Land Quality, Monitoring and Control, Ministry of Land and Resources, Beijing 100193;
    3、Sinosteel Ma’anshan Institute of Mining Research CO., LTD., Ma’anshan 243000, Anhui
  • Received:2013-10-23 Online:2014-07-01 Published:2014-05-16

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Abstract: 【Objective】 This study aimed to explore the methodology which can help fully reveal the characteristics of soil particle size distribution (PSD) on multi-angle and multi-scale, and to find more simple and comprehensive means of quantitative analysis and evaluation of soil quality and its evolution. 【Method】 The study calculated the volume fractal dimension (Dv) and analyzed the variation characteristics of soil particle size distribution based on fractal theory, traditional statistics, separated soil particles Dv log-log graph and geostatistics from point and regional scale. 【Result】 Cumulative volume percentage of soil particles with diameter＜10 μm showed a significant positive correlation with Dv while that of soil particles with diameter＞50 μm was negatively related to Dv. The smaller soil particles Dv was, the coarser soil texture was. The end portions of log-log scatter plot for the maximum and minimum Dv bent downward with the fitting straight lines close to major changes, the value of R2 are above 0.9, and the fitting results are ideal. The separation of Dv contained the entire soil particle size distribution (PSD) of the degree of change. There were some differences of soil particles Dv between different groups of soil organic matter content, and soil particles Dv was able to objectively characterize the changes of soil quality of a farmland. With elevation increasing, the performance of soil particles Dv was relatively complex. The mean value of soil particles Dv for cinnamon soil was maximum, mean was minimum for fluvo-aquic soil. The results of variance analysis showed that the difference in Dv values between grain field, garden land and vegetable land was not obvious. Prediction results with regression kriging were more accurate based on the analysis results about the relationship between soil particle Dv and environmental variables. Spatial distribution pattern of the regional and sampling Dv was consistent, and objectively reflected the variation characteristics of PSD. 【Conclusion】 Methodology established in the study can reflect the characteristics of PSD from multi-angle and multi-scale. The study results matched the actuality, and soil particles Dv can be used as a means to characterize and evaluate the soil quality and its changing process.

Key words: fractal dimensions , fractal theory , soil particle size distribution , geostatistics

[1]Gimenez D, Perfect E, Rawls W J, Pachepsky Y. Fractal models for predicting soil hydraulic properties: a review. Engineering Geology, 1991, 48(3), 161-183.

[2]Huang G H, Zhang R D. Evaluation of soil water retention curves with the pore-solid fractal model. Geoderma, 2005, 127(3): 52-61.

[3]Montero E. Rényi Dimensions analysis of soil particle-size distributions. Ecological Modelling, 2005, 182: 305-315.

[4]Kravchenko A N, Boast C W, Bullock D G. Multiracial analysis of soil spatial variability. Agronomy Journal, 1999, 91(6): 1033-1041.

[5]Dathe A, Eins S, Niemeyer J, Gerold G. The surface fractal dimension of the soil pore interface as measured by image analysis. Geoderma, 2001, 103(1): 203-229.

[6]Posadas A N D, Gimenez D, Quiroz R, Protz R. Multifractal characterization of soil pore systems. Soil Science Society of America Journal, 2003, 67(5): 1361-1369.

[7]Giménez D, Karmon J L, Posadas A, Shaw R K. Fractal dimensions of mass estimated from intact and eroded soil aggregates. Soil and Tillage Research, 2002, 64(1): 165-172.

[8]Fuentes C, Antonino A C D, Sepulveda J. Prediction of the relative soil hydraulic conductivity with fractal models. Hydraulic Engineering in Mexico, 2003, 18(4): 31-40.

[9]Xu Y F, Sun D A. A fractal model for soil pores and its application to determination of water permeability. Physica A: Statistical Mechanics and Its Applications, 2002, 316(1): 56-64.

[10]黄冠华, 詹卫华. 土壤颗粒的分形特征及其应用. 土壤学报, 2002, 39(4): 490-497.

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

[11]吴承祯, 洪伟. 不同经营模式土壤团粒结构的分形特征研究. 土壤学报, 1999, 36(2) : 162-167.

Wu C Z, Hong W. Study on fractal features of soil aggregate structure under different management patterns. Acta Pedologica Sinica, 1999, 36(2): 162-167. (in Chinese)

[12]朱晓华, 杨秀春, 蔡运龙. 中国土壤空间分布的分形与分维. 土壤学报, 2005, 4(6): 881-888.

Zhu X H, Yang X C, Cai Y L. Fractal and fractal dimension of Chinese soil spatial distribution. Acta Pedologica Sinica, 2005, 4(6): 881-888. (in Chinese)

[13]胡云锋, 刘纪远, 庄大方, 曹红霞, 闫慧敏. 不同土地利用/土地覆盖下土壤粒径分布的分维特征. 土壤学报, 2005, 42(2): 336-339.

Hu Y F, Liu J Y, Zhuang D F, Cao H X, Yan H M. Fractal dimension of soil particle size distribution under different land use/land cover. Acta Pedologica Sinica, 2005, 42(2): 336-339. (in Chinese)

[14]Gui D W, Lei J Q, Zeng F J, Mu G J, Zhu J T, Wang H, Zhang Q. Characterizing variations in soil particle size distribution in oasis farmlands-A case study of the Cele Oasis. Mathematical and Computer Modelling, 2010, 51: 1306-1311.

[15]余健, 廖媛媛, 张平究, 高超. 长江下游江心洲土壤颗粒特征及分形规律. 生态学杂志, 2012, 31(3): 626-631.

Yu J, Liao Y Y, Zhang P J, Gao C. Characteristics of soil particle size distribution and fractal dimension in a channel island in lower reach of Yangtze River. Chinese Journal of Ecology, 2012, 31(3): 626-631. (in Chinese)

[16]陈小红, 段争虎, 何洪泽. 荒漠-绿洲边缘区生态过渡带的土壤颗粒分形特征. 土壤, 2009, 41(1): 97-101.

Chen X H, Duan Z H, He H Z. Fractal characteristics of soil particle of desert-oasis ecotone. Soils, 2009, 41(1): 97-101. (in Chinese)

[17]李德成, 张桃林. 中国土壤颗粒组成的分形特征研究. 土壤与环境, 2000, 9(4): 263-265.

Li D C, Zhang T L. Fractal features of particle size distribution of soils in China. Soil and Environmental Sciences, 2000, 9(4): 263-265. (in Chinese)

[18]侯春梅, 刘小伟, 李明, 迟秀丽. 甘肃黄土的粒度分维特征及意义. 地质科学, 2005, 40(4): 539-546.

Hou C M, Liu X W Li M, Chi X L. Grain-size fractal dimension of the loess in Gansu and its significance. Chinese Journal Geology, 2005, 40(4): 539-546. (in Chinese)

[19]张世熔, 邓良基, 周倩, 伍国锋. 耕层土壤颗粒表面的分形维数及其与主要土壤特性的关系. 土壤学报, 2002, 39(2): 221-226.

Zhang S R, Deng L J, Zhou Q, Wu G F. Fractal dimensions of particle surface in the plowed layers and their relationship with main soil properties. Acta Pedologica Sinica, 2002, 39(2): 221-226. (in Chinese)

[20]王国梁，周生路，赵其国. 土壤颗粒的体积分形维数及其在土地利用中应用. 土壤学报, 2005, 42(4): 545-550.

Wang G L, Zhou S L, Zhao Q G. Volume fractal dimension of soil particle and its application to land use. Acta Pedologica Sinica, 2005, 42(4): 545-550. (in Chinese)

[21]Tyler S W, Wheatcraft S W. Fractal scaling of soil particle-size distributions: Analysis and limitations. Soil Science Society of America Journal, 1992, 56: 362-369.

[22]Su Y Z, Zhao H L, Zhao W Z. Fractal features of soil particle size distribution and the implication for indicating desertification. Geoderma, 2004, 122(1): 43-49.

[23]Clifton J, Mcdonald P, Plater A, Oldfield F. An investigation into the efficiency of particle size separation using stokes’ law. Earth Surface Processes and Landforms, 1999, 24(8): 725-730.

[24]Fu B, Zhao W, Hu H, Wang Y. Multifractal characteristics of soil particle size distribution under different land-use types on the Loess Plateau, China. Catena, 2008, 72(1): 29-36.

[25]杨金玲, 李德成, 张甘霖, 赵玉国, 赵文君, 唐先干. 土壤颗粒粒径分布质量分形维数和体积分形维数的对比. 土壤学报, 2008, 45(3): 413-419.

Yang J L, Li D C, Zhang G L, Zhao Y G, Zhao W J, Tang X G. Comparison of mass and volume fractal dimensions of soil particle size distributions. Acta Pedologica Sinica, 2008, 45(3): 413-419. (in Chinese)

[26]Baxter S J, Oliver M A. The spatial prediction of soil mineral N and potentially available N using elevation. Geoderma, 2005, 128(3): 325-339.

[27]Herbst M, Diekkruger B, Vereecken H. Geostatistical coregionalization of soil hydraulic properties in a micro-scale catchment using terrain attributes. Geoderma, 2006, 132(1): 206-221.

[28]Simbahan G C, Dobermann A, Goovaerts P, Ping J, Haddix M L. Fine-resolution mapping of soil organic carbon based on multivariate secondary data. Geoderma, 2006, 132: 471-489.

[29]Zhang S, Huang Y, Shen C, Ye H, Du Y. Spatial prediction of soil organic matter using terrain indices and categorical variables as auxiliary information. Geoderma, 2012, 171: 35-43.

[30]Goovaerts P. Geostatistics for Natural Resource Evaluation. USA: Oxford University Press, 1997.

[31]Webster R, Oliver M. Geostatistics for Environmental Scientists. UK: John Wiley & Sons, LTD, 2001．

[32]Goovaerts P. Geostatistics in soil science: state-of-the-art and perspectives. Geoderma, 1999, 89(1): 1-45.

[33]王政权. 地质统计学及其生态学中的应用. 北京: 科学出版社, 1999: 1-49.

Wang Z Q. Geostatistics and the Applications in Ecology. Beijing: Science Press, 1999: 1-49. (in Chinese)

[34]Bishop T F A, Lark R M. Reply to “Standardized vs. customary ordinary cokriging: Some comments on the article “The geostatistical analysis of experiments at the landscape-scale” by T.F.A. Bishop and R.M. Lark. Geoderma, 2008, 146(1): 397-399.

[35]Chai X R, Shen CH Y, Yuan X Y, Huang Y F. Spatial prediction of soil organic matter in the presence of different external trends with REML-EBLUP. Geoderma, 2008, 148(2): 159-166.

[36]Kerry R, Oliver M A. Comparing sampling needs for variograms of soil properties computed by the method of moments and residual maximum likelihood. Geoderma, 2007, 140(4): 383-396.

[37]张世文, 王胜涛, 刘娜, 叶回春, 黄元仿. 土壤质地空间预测方法比较. 农业工程学报, 2011, 27(1): 332-339.

Zhang S W, Wang S T, Liu N, Ye H C, Huang Y F. Comparison of spatial prediction method for soil texture. Transactions of the Chinese Society of Agricultural Engineering, 2011, 27(1): 332-339. (in Chinese)

[38]Cambardella C A, Moorman T B, Parkin T B, Karlen D L, Novak J M, Turco R F, Konopka A E. Field-scale variability of soil properties in central Iowa soils. Soil Science Society of America Journal, 1994, 58(5): 1501-1511.

[39]Mart?nez-Mena M, Williams A G, Ternan J L, Fitzjohn C. Role of antecedent soil water content on aggregates stability in a semi-arid environment. Soil and Tillage Research, 1998, 48(1): 71-80.

[40]Qiu Y, Fu B J, Wang J, Chen L D. Soil moisture variation in relation to topography and land use in a hillslope catchment of the Loess Plateau, China. Journal of Hydrology, 2001, 240(3): 243-263.

[41]Lobe I, Amenlung W, Du Preez C C. Losses of carbon and nitrogen with prolonged arable cropping from sandy soils of the South African Highveld. European Journal of Soil Science, 2001, 52(1): 93-101.

[42]Fullen M A, Booth C A, Brandsma R T. Long-term effects of grass ley set-aside on erosion rates and soil organic matter on sandy soils in east Shropshire, UK. Soil & Tillage Research, 2006, 89(1): 122-128.
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