〔1〕 戎郁萍.我国弃耕地植被的恢复与重建研究概述〔J〕.四川草原,2004(5):1-4.〔Rong Yuping.Review of the gressland restoration and recostruction of the abandoned land〔J〕.Journal of Sichuan Grassland,2004(5):1-4.〕 〔2〕 任海,彭少麟.恢复生态学导论〔M〕.北京,科学出版社,2002.〔Ren Hai,Peng Shaolin.Introduction to Restoration Ecology〔M〕.Beijing:Science Press,2002.〕 〔3〕 Aweto A O.Secondary succession and soil fertility restoration in south-western Nigeria:I.Succession〔J〕.The Journal of Ecology,1981:601-607. 〔4〕 Odum E P.Organic production and turnover in old field succession〔J〕.Ecology,1960,41(1):34-49. 〔5〕 Odum E P,Pinder III J E,Christiansen T A.Nutrient losses from sandy soils during old-field succession〔J〕.American Midland Naturalist,1984:111(1):148-154. 〔6〕 Brye K R,Norman J M,Gower S T.Assessing the progress of a tallgrass prairie restoration in southern Wisconsin〔J〕.The American Midland Naturalist,2002,148(2):218-235. 〔7〕 李静,周正朝,张强,等.黄土区不同退耕年限草地土壤分离速率及其理化性质〔J〕.干旱区研究,2017,34(3):504-510.〔Li Jing,Zhou Zhengchao,Zhang Qiang,et al.Soil physiochemical properties and soil detachment rate in grasslands with different years of grain for green in the Loess Plateau〔J〕.Arid Zone Research,2017,34(3):504-510.〕 〔8〕 蒙仲举,王猛,王淮亮,等.基于数字成像技术的风蚀地表颗粒空间异质性〔J〕.干旱区研究,2016,33(6):1 270-1 277.〔Meng Zhongju,Wang Meng,Wang Huailiang,et al.Spatial heterogenity of soil particles on wind erosion surface based on digital imaging technology〔J〕.Arid Zone Research,2016,33(6):1 270-1 277.〕 〔9〕 杜海燕,周智彬,刘凤山,等.绿洲化过程中阿拉尔垦区土壤粒径分形变化特征〔J〕.干旱区研究,2013,30(4):615-622.〔Du Haiyan,Zhou Zhibin,Liu Fengshan,et al.Variation of fractal dimension of soil particle size distribution in the aral reclamation area in oasis development〔J〕.Arid Zone Research,2013,30(4):615-622.〕 〔10〕刘建立,徐绍辉,刘慧.几种土壤累积粒径分布模型的对比研究〔J〕.水科学进展,2003,14(5):588-592.〔Liu Jianli,Xu Shaohui,Liu Hui.Investigation of different models to describe soil particle-size distribution data〔J〕.Advances in Water Science,2003,14(5):588-592.〕 〔11〕Nadeu E,de Vente J,Martínez-Mena M,et al.Exploring particle size distribution and organic carbon pools mobilized by different erosion processes at the catchment scale〔J〕.Journal of Soils and Sediments,2011,11(4):667-678. 〔12〕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的应用〔J〕.土壤学报,2005,42(4):545-550.〔Wang Guoliang,Zhou Shenglu,Zhao Qiguo.Volume fractal dimension of soil particle sand its applications to land use〔J〕.Acta Pedologica Sinica,2005,42(4):545-550.〕 〔13〕王德,傅伯杰,陈利顶,等.不同土地利用类型下土壤粒径分形分析——以黄土丘陵沟壑区为例〔J〕.生态学报,2007,27(7):3 081-3 089.〔Wang De,Fu Bojie,Chen Liding,et al.Fractal analysis on soil particle size distribution under different land use types:A case study in the loess hilly areas of the Loess Plateau China〔J〕.Acta Ecology Sinica,2007,27(7):3 081-3 089.〕 〔14〕Sun C,Liu G,Xue S.Natural succession of grassland on the Loess Plateau of China affects multifractal characteristics of soil particle-size distribution and soil nutrients〔J〕.Ecological Research,2016,31(6):891-902. 〔15〕党亚爱,李世清,王国栋,等.黄土高原典型土壤剖面土壤颗粒组成分形特征〔J〕.农业工程学报,2009,25(9):74-78.〔Dang Ya’ai,Li Shiqing,Wang Guodong,et al.Fractal characteristic of soil particle composition for typical types of soil profile on Loess Plateau〔J〕.Transactions of the Chinese Society of Agricultural Engineering,2009,25(9):74-78.〕 〔16〕Chen X,Zhou J.Volume-based soil particle fractal relation with soil erodibility in a small watershed of purple soil〔J〕.Environmental Earth Sciences,2013,70(4):1 735-1 746. 〔17〕贾萌萌,张忠良,雷加强,等.塔里木沙漠公路防护林地土壤粒径分布的分形特征〔J〕.干旱区研究,2015,32(4):674-679.〔Jia Mengmeng,Zhang Zhongliang,Lei Jiaqiang,et al.Fractal characteristics of soil particle size distribution in protection forest of Tarim Desert Highway〔J〕.Arid Zone Research,2015,32(4):674-679.〕 〔18〕管清玉,桂洪杰,潘保田,等.黄河宁蒙河段沙样粒度与分形维数特征〔J〕.兰州大学学报(自然科学版),2013,49(1) :1-6.〔Guan Qingyu,Gui Hongjie,Pan Baotian,et al.Characteristics of the grain sizes and fractal dimensions for sand samples in Ningxia-Inner Mongolia section of the Yellow River〔J〕.Journal of Lanzhou University(Natural Sciences),2013,49(1) :1-6.〕 〔19〕代豫杰,李锦荣,郭建英,等.乌兰布和沙漠不同灌丛土壤颗粒多重分形特征及其与有机碳分布的关系〔J〕.环境科学研究,2017,30(7):1 069-1 078.〔Dai Yujie ,Li Jinrong,Guo Jianying,et al.Soil particles multi-fractal and soil organic carbon distributions and their correlations under different shrubs in Ulan Buh Desert〔J〕.Research of Environmental Science,2017,30(7):1 069-1 078.〕 〔20〕伏耀龙,张兴昌,王金贵.岷江上游干旱河谷土壤粒径分布分形维数特征〔J〕.农业工程学报,2012,28(5):120-125.〔Fu Yaolong,Zhang Xingchang,Wang Jingui.Fractal dimension of soil particle-size distribution characteristics in dry valley of upper Minjiang river〔J〕.Transactions of the Chinese Society of Agricultural Engineering,2012,28(5):120-125.〕 〔21〕Tyler S W,Wheatcraft S W.Fractal scaling of soil particle-size distributions:Analysis and limitations〔J〕.Soil Science Society of America Journal,1992,56(2):362-369. 〔22〕贾晓红,李新荣,李元寿.干旱沙区植被恢复过程中土壤颗粒分形特征〔J〕.地理研究,2007,26(3):518-525.〔Jia Xiaohong,Li Xinrong,Li Yuanshou.Fractal dimension of soil particle size distribution during the process of vegetation restoration in arid sand dune area〔J〕.Geographical Research,2007,26(3):518-525.〕 〔23〕Brye R K.Long-term effects of cultivation on particle size and water-retention characteristics determined using wetting curves〔J〕.Soil Science,2003,168(7):459-468. 〔24〕Andrews S S,Karlen D L,Cambardella C A.The soil management assessment framework:Quantitative soil quality evaluation method〔J〕.Soil Science Society America Journal,2004,68:1 945-1 962. 〔25〕Huang G,Zhang R.Evaluation of soil water retention curve with the pore-solid fractal model〔J〕.Geoderma,2005,127(1/2):52-61. 〔26〕Montero E.Rényi dimensions analysis of soil particle-size distributions〔J〕.Ecological Modelling,2005,182(3/4):305-315. 〔27〕管孝艳,杨培岭,任树梅,等.基于多重分形理论的壤土粒径分布非均匀性分析〔J〕.应用基础与工程科学学报,2009,17(2):196-205.〔Guan Xiaoyan,Yang Peiling,Ren Shumei,et al.Heterogeneity analysis of particle size distirbution for loamy soil based on multifractal theory〔J〕.Journal of Basic Science and Engineering,2009,17(2):196-205.〕 〔28〕许婷婷,董智,李红丽,等.不同设障年限沙丘土壤粒径和有机碳分布特征〔J〕.环境科学研究,2014,27(6):628-634.〔Xu Tingting,Dong Zhi,Li Hongli,et al.Distributions of soil particle size and soil organic carbon in dunes of checkerboard barriers with different setting years〔J〕.Research of Environmental Sciences,2014,27(6):628-634.〕 〔29〕吕圣桥,高鹏,耿广坡,等.黄河三角洲滩地土壤颗粒分形特征及其与土壤有机质的关系〔J〕.水土保持学报,2011,25(6):134-138.〔Lv Shengqiao,Gao Peng,Geng Guangpo,et al.Characteristics of soil particles and their correlation organic matter in lowlands of the Yellow River with soil delta〔J〕.Journal of Soil and Water Conservation,2011,25(6):134-138.〕 〔30〕Li G,Pang X.Difference in organic carbon contents and distributions in particle-size fractions between soil and sediment on the Southern Loess Plateau,China〔J〕.Journal of Mountain Science,2014,11(3):717-726. 〔31〕蔡文涛,李贺祎,来利明,等.鄂尔多斯高原弃耕农田恢复过程中土壤物理性质和生物结皮的变化〔J〕.应用生态学报,2017,28(3):829-837.〔Cai Wentao,Li Heyi,Lai Liming,et al.Dynamics of soil physical properties and biological soil crust during the vegetation restoration process of abandoned croplands in the Ordos Plateau,China〔J〕.Chinese Journal of Applied Ecology,2017,28(3):829-837.〕 〔32〕周炜星,吴韬,于遵宏.多重分形奇异谱的几何特性Ⅱ.配分函数法〔J〕.华东理工大学学报,2000,26(4):390-395.〔Zhou Weixing,Wu Tao,Yu Zunhong.Geometrical characteristics of singularity spectra of multifractalⅡ.Partition function definition〔J〕.Journal of East China University of Science and Technology,2000,26(4):390-395.〕 〔33〕Caniego F J,Espejo R,Martin M A,et al.Multifractal scaling of soil spatial variability〔J〕.Ecological Modelling,2005,182(3/4):291-303. 〔34〕Hu H C,Tian F Q,Hu H P.Soil particle size distribution and its relationship with soil water and salt under mulched drip irrigation in Xinjiang of China〔J〕.Science China Technological Sciences,2011,54(6):1 568-1 574. 〔35〕孙梅,孙楠,黄运湘,等.长期不同施肥红壤粒径分布的多重分形特征〔J〕.中国农业科学,2014,47(11):2 173-2 181.〔Sun Mei,Sun Nan,Huang Yunxiang,et al.Multifractal characterization of soil particle size distribution under long-term different fertilizations in upland red soil〔J〕.Scientia Agricultura Sinica,2014,47(11):2 173-2 181.〕 〔36〕Paz Ferreiro J,Vidal Vazquez E.Multifractal analysis of Hg pore size distributions in soils with contrasting structural stability〔J〕.Geoderma,2010,160(1):64-73. 〔37〕管孝艳,杨培岭,吕烨.基于多重分形的土壤粒径分布与土壤物理特性关系〔J〕.农业机械学报,2011,42(3):44-50.〔Guan Xiaoyan,Yang Peiling,Lv Ye.Relationship between soil particle size distribution and soil physical properties based on multifractal〔J〕.Transactions of the Chinese Society for Agricultural Machinery,2011,42 (3):44-50.〕 〔38〕Grout H,Tarquis A M,Wiesner M R.Multifractal analysis of particle size distributions in soil〔J〕.Environmental Science & Technology,1998,32(9):1 176-1 182. 〔39〕白一茹,汪有科.黄土庄陵区土壤粒径分布单重分形和多重分形特征〔J〕.农业机械学报,2012,43(5):43-48〔Bai Yiru,Wang Youke.Plateau monofractal and multifractal analysis on soil particle distribution in hilly and gully areas of the Loess Plateau〔J〕.Transactions of the Chinese Society for Agricultural Machinery,2012,43(5):43-48.〕 〔40〕戴全厚,刘国彬,薛萐,等.侵蚀环境退耕撂荒地植物种群演变动态研究〔J〕.西北农业学报,2008,17(4):320-328.〔Dai Quanhou,Liu Guobin,Xue Sha,et al.Dynamic of plant population characteristics on abandoned arable land in eroded hilly Loess Plateau〔J〕.Acta Agriculturae Boreali-occidentalis Sinica,2008,17(4):320-328.〕 〔41〕刘学彤,魏艳春,杨宪龙,等.水蚀风蚀交错带不同退耕模式对土壤有机碳及全氮的影响〔J〕.应用生态学报,2016,27(1):91-98.〔Liu Xuetong,Wei Yanchun,Yang Xianlong,et al.Elfects of different re-vegetation patterns nn soil organic carbon and total nitrogen in the wind-water erosion crisscross region,China〔J〕.Chinese Journal of Applied Ecology,2016,27(1):91-98.〕 〔42〕李尝君,曾凡江,郭京衡,等.植被恢复程度与沙地土壤性质——以塔克拉玛干沙漠南缘为例〔J〕.干旱区研究,2015,32(6):1 061-1 067.〔Li Changjun,Zhen Fanjiang,Guo Jingheng,et al.Soil properties of different sandy lands under different vegetation recovering levels:A case in southern Taklimakan Desert〔J〕.Arid Zone Research,2015,32(6):1 061-1 067.〕 |