[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. |