Free Standard AU & NZ Shipping For All Book Orders Over $80!
Register      Login
Soil Research Soil Research Society
Soil, land care and environmental research
RESEARCH ARTICLE

Application of neural network and grey relational analysis in ranking the factors affecting runoff and sediment yield under simulated rainfall

Juan Wang A B G , Jun Huang C D , Pute Wu A E F and Xining Zhao E F H
+ Author Affiliations
- Author Affiliations

A College of Water Resources and Architecture Engineering, Northwest A&F University, Yangling 712100, Shaanxi, China.

B School of Hydraulic, Energy and Power Engineering, Yangzhou University, Yangzhou, 225009, Jiangsu, China.

C Pearl River Hydraulic Research Institute, Pearl River Water Resources Commission of the Ministry of Water Resources, 510611, Guangzhou, China.

D Soil and Water Conservation Monitoring Center of Pearl River Basin, Pearl River Hydraulic Research Institute, Pearl River Water Resources Commission of the Ministry of Water Resources, Guangzhou, 510611, Guangdong, China.

E Institute of Soil and Water Conservation, Northwest A & F University, Yangling, 712100, Shaanxi, China.

F Institute of Soil and Water Conservation, Chinese Academy of Sciences & Ministry of Water Resources, Yangling, 712100, Shaanxi, China.

G Department of Land, Air, and Water Resource, University of California, Davis, Davis, CA, 95616, USA.

H Corresponding author. Email: zhaoxn_2014@sohu.com

Soil Research 54(3) 291-301 https://doi.org/10.1071/SR15068
Submitted: 1 March 2015  Accepted: 26 June 2015   Published: 13 April 2016

Abstract

Soil erosion is a dynamic environmental process that influenced by multiple factors. However, most previous studies only examined the causative factors without ranking their relative importance or examining the individual factors. In this work, back-propagation (BP) neural network modelling and grey relational analysis were used to rank the effects of 7 factors—vegetation growth stage (VGS), vegetation type (VT), vegetation cover (VC), rainfall intensity (RI), rainfall duration (RD), antecedent soil moisture (ASM) and slope gradient (SG)—on total runoff (TR) and total sediment (TS) following simulated rainfall events at 5 intensities (30, 45, 60, 90, 120 mm h–1). The experimental plots including 4 treatments, bare soil (control), ryegrass (Lolium perenne L.), purple medic (Medicago sativa L.) and spring wheat (Triticum aestivum L.) under 4 different slopes (9%, 18%, 27.8%, 36.4%). BP models were constructed to predict TR and TS; their predictions tracked the experimental data very closely. A factor analysis based on the BP models ranked the influence of the 7 factors on TR and TS as RI > VC > ASM > RD > VGS > VT > SG and RI > VC > SG > ASM > RD > VGS > VT, respectively. Grey relational analysis provided similar results, ranking the effects of these factors on TR and TS in the order RI > VC > ASM > RD > SG > VGS > VT and RI > VC > SG > ASM > RD > VT > VGS, respectively. These results indicate that runoff and sediment yield depend most strongly on RI and VC, while the effects of the other factors are less pronounced.

Additional keywords: antecedent soil moisture, back-propagation, factor analysis, rainfall simulation, slope gradient, vegetation cover.


References

Abdi H, Valentin D, Edelman B, O’Toole AJ (1996) A Widrow-Hoff learning rule for a generalization of the linear auto-associator. Journal of Mathematical Psychology 40, 175–182.
A Widrow-Hoff learning rule for a generalization of the linear auto-associator.Crossref | GoogleScholarGoogle Scholar |

Adekalu KO, Olorunfemi IA, Osunbitan JA (2007) Grass mulching effect on infiltration, surface runoff and soil loss of three agricultural soils in Nigeria. Bioresource Technology 98, 912–917.
Grass mulching effect on infiltration, surface runoff and soil loss of three agricultural soils in Nigeria.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD28Xps1Wltbk%3D&md5=19a54b6cec983de7db30b059e234bcffCAS | 16678407PubMed |

Aksoy H, Unal NE, Cokgor S, Gedikli A, Yoon G, Koca K, Inci SB, Eris E (2012) A rainfall simulator for laboratory-scale assessment of rainfall-runoff-sediment transport processes over a two-dimensional flume. Catena 98, 63–72.
A rainfall simulator for laboratory-scale assessment of rainfall-runoff-sediment transport processes over a two-dimensional flume.Crossref | GoogleScholarGoogle Scholar |

An X, Guo C, Su F, Lang L, Hong Y (2009) Simulation experiment of effect of antecedent soil moisture content on characteristics of soil erosion from dumping soil land. Research of Soil and Water Conservation 124, 116–119. [in Chinese with English abstract]

Assouline S, Ben-Hur M (2006) Effects of rainfall intensity and slope gradient on the dynamics of interrill erosion during soil surface sealing. Catena 66, 211–220.
Effects of rainfall intensity and slope gradient on the dynamics of interrill erosion during soil surface sealing.Crossref | GoogleScholarGoogle Scholar |

Bryan RB (2000) Soil erodibility and processes of water erosion on hillslope. Geomorphology 32, 385–415.
Soil erodibility and processes of water erosion on hillslope.Crossref | GoogleScholarGoogle Scholar |

Cerdà A (1996) Seasonal variability of infiltration rates under contrasting slope conditions in Southeast Spain. Geoderma 69, 217–232.
Seasonal variability of infiltration rates under contrasting slope conditions in Southeast Spain.Crossref | GoogleScholarGoogle Scholar |

Cerdà A (1997) Seasonal changes of the infiltration rates in a Mediterranean scrubland on limestone. Journal of Hydrology 198, 198–209.
Seasonal changes of the infiltration rates in a Mediterranean scrubland on limestone.Crossref | GoogleScholarGoogle Scholar |

Cerdà A (1999a) Parent material and vegetation affect soil erosion in eastern Spain. Soil Science Society of America Journal 63, 362–368.
Parent material and vegetation affect soil erosion in eastern Spain.Crossref | GoogleScholarGoogle Scholar |

Cerdà A (1999b) Seasonal and spatial variations in infiltration rates in badland surfaces under Mediterranean climatic conditions. Water Resources Research 35, 319–328.
Seasonal and spatial variations in infiltration rates in badland surfaces under Mediterranean climatic conditions.Crossref | GoogleScholarGoogle Scholar |

Cerdà A, García-Fayos P (1997) The influence of slope angle on sediment, water and seed losses on badland landscapes. Geomorphology 18, 77–90.
The influence of slope angle on sediment, water and seed losses on badland landscapes.Crossref | GoogleScholarGoogle Scholar |

Cerdà A, Flanagan DC, Le Bissonnais Y, Boardman J (2009a) Soil erosion and agriculture. Soil & Tillage Research 106, 107–108.
Soil erosion and agriculture.Crossref | GoogleScholarGoogle Scholar |

Cerdà A, Giménez-Morera A, Bodí MB (2009b) Soil and water losses from new citrus orchards growing on sloped soils in the western Mediterranean basin. Earth Surface Processes and Landforms 34, 1822–1830.
Soil and water losses from new citrus orchards growing on sloped soils in the western Mediterranean basin.Crossref | GoogleScholarGoogle Scholar |

Chaplot VAM, Bissonnais YL (2003) Runoff features for interrill erosion at different rainfall intensities, slope lengths, and gradients in an agricultural loessial hillslope. Soil Science Society of America Journal 67, 844–851.
Runoff features for interrill erosion at different rainfall intensities, slope lengths, and gradients in an agricultural loessial hillslope.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD3sXktVGit70%3D&md5=f6430b264b848ccc7a58519da53c99b8CAS |

Chen Y, Yu X, Xie C (2009) Impacts of land use and rainfall intensity on runoff and sediment load in the Lu’ergou watershed on the Loess Plateau. Science of Soil and Water Conservation 7, 8–12. [in Chinese with English abstract]

Cong S (1998) ‘Neural network theory and application orienting MATLAB toolbox.’ (China Science and Technology University Press: Hehui, China) [in Chinese]

de la Rosa D, Moreno JA, Mayol F, Bonsón T (2000) Assessment of soil erosion vulnerability in western Europe and potential impact on crop productivity due to loss of soil depth using the ImpelERO model. Agriculture, Ecosystems & Environment 81, 179–190.
Assessment of soil erosion vulnerability in western Europe and potential impact on crop productivity due to loss of soil depth using the ImpelERO model.Crossref | GoogleScholarGoogle Scholar |

Di Luzio M, Arnold JG (2004) Formulation of a hybrid calibration approach for a physically based distributed model with NEXRAD data input. Journal of Hydrology 298, 136–154.
Formulation of a hybrid calibration approach for a physically based distributed model with NEXRAD data input.Crossref | GoogleScholarGoogle Scholar |

Dunjó G, Pardini G, Gispert M (2004) The role of land use–land cover on runoff generation and sediment yield at a microplot scale, in a small Mediterranean catchment. Journal of Arid Environments 57, 239–256.
The role of land use–land cover on runoff generation and sediment yield at a microplot scale, in a small Mediterranean catchment.Crossref | GoogleScholarGoogle Scholar |

El-Din AG, Smith DW (2002) A neural network model to predict the wastewater inflow incorporating rainfall events. Water Research 36, 1115–1126.
A neural network model to predict the wastewater inflow incorporating rainfall events.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD38XpvVShuw%3D%3D&md5=a5f24c5b8c334ddb3f8e8e3ebd9339ddCAS | 11902768PubMed |

El-Hassanin AS, Labib TM, Gaber EI (1993) Effect of vegetation cover and land slope on runoff and soil losses from the watersheds of Burundi. Agriculture, Ecosystems & Environment 43, 301–308.
Effect of vegetation cover and land slope on runoff and soil losses from the watersheds of Burundi.Crossref | GoogleScholarGoogle Scholar |

Feng S, Huo Z, Kang S, Chen S (2007) ANN model for simulating dynamic variation of groundwater under the condition of natural-human activity in arid-inland area. Journal of Hydraulic Engineering 38, 873–885. [in Chinese with English abstract]

Fraser A, Harrod TR, Haygarth PM (1999) The effect of rainfall intensity on soil erosion and particulate phosphorus transfer from arable soils. Water Science and Technology 39, 41–45.
The effect of rainfall intensity on soil erosion and particulate phosphorus transfer from arable soils.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaK1MXmtV2gur0%3D&md5=170d3a0b966c5abc52da7d342d7493ffCAS |

Fu C, Zheng J, Zhao J, Xu W (2001) Application of grey relational analysis for corrosion failure of oil tubes. Corrosion Science 43, 881–889.
Application of grey relational analysis for corrosion failure of oil tubes.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD3MXjt1amu7o%3D&md5=1fb2c972e13450a09ac02be16d296a9aCAS |

García-Orenes F, Cerdà A, Mataix-Solera J, Guerrero C, Bodí MB, Arcenegui V, Zornoza R, Sempere JG (2009) Effects of agricultural management on surface soil properties and soil-water losses in eastern Spain. Soil & Tillage Research 106, 117–123.
Effects of agricultural management on surface soil properties and soil-water losses in eastern Spain.Crossref | GoogleScholarGoogle Scholar |

García-Orenes F, Roldán A, Mataix-Solera J, Cerdà A, Campoy M, Arcenegui V, Caravaca F (2012) Soil structural stability and erosion rates influenced by agricultural management practices in a semi-arid Mediterranean agro-ecosystem. Soil Use and Management 28, 571–579.
Soil structural stability and erosion rates influenced by agricultural management practices in a semi-arid Mediterranean agro-ecosystem.Crossref | GoogleScholarGoogle Scholar |

Giménez-Morera A, Ruiz Sinoga JD, Cerdà A (2010) The impact of cotton geotextiles on soil and water losses in Mediterranean rainfed agricultural land. Land Degradation & Development 21, 210–217.
The impact of cotton geotextiles on soil and water losses in Mediterranean rainfed agricultural land.Crossref | GoogleScholarGoogle Scholar |

Gyssels G, Poesen J, Bochet E, Li Y (2005) Impact of plant roots on the resistance of soils to erosion by water: a review. Progress in Physical Geography 29, 189–217.
Impact of plant roots on the resistance of soils to erosion by water: a review.Crossref | GoogleScholarGoogle Scholar |

Han L (2002) ‘Theory design and application of artificial neural networks.’ (Chemical Industry Press: Beijing) [in Chinese]

Huang J, Wu P, Zhao X (2010) Impact of slope biological regulated measures on soil water infiltration. Transactions of the CSAE 26, 29–37.

Huang J, Wu P, Zhao X (2013) Effects of rainfall intensity, underlying surface and slope gradient on soil infiltration under simulated rainfall experiments. Catena 104, 93–102.
Effects of rainfall intensity, underlying surface and slope gradient on soil infiltration under simulated rainfall experiments.Crossref | GoogleScholarGoogle Scholar |

Huang J, Wang J, Zhao X, Li H, Jing Z, Gao X, Wu P (2014) Simulation study of the impact of permanent groundcover on soil and water changes in jujube orchards on sloping ground. Land Degradation & Development
Simulation study of the impact of permanent groundcover on soil and water changes in jujube orchards on sloping ground.Crossref | GoogleScholarGoogle Scholar |

Iserloh T, Fister W, Ries JB, Seeger M (2010) Design and calibration of the small portable rainfall simulator of Trier University. EGU General Assembly Conference Abstracts, p. 2769.

Jain A, Kumar A (2006) An evaluation of artificial neural network technique for the determination of infiltration model parameters. Applied Soft Computing 6, 272–282.
An evaluation of artificial neural network technique for the determination of infiltration model parameters.Crossref | GoogleScholarGoogle Scholar |

Janeau JL, Bricquet JP, Planchon O, Valentin C (2003) Soil crusting and infiltration on steep slopes in northern Thailand. European Journal of Soil Science 54, 543–554.
Soil crusting and infiltration on steep slopes in northern Thailand.Crossref | GoogleScholarGoogle Scholar |

Ju Q, Yu Z, Hao Z, Ou G, Zhao J, Liu D (2009) Division-based rainfall-runoff simulations with BP neural networks and Xinanjiang model. Neurocomputing 72, 2873–2883.
Division-based rainfall-runoff simulations with BP neural networks and Xinanjiang model.Crossref | GoogleScholarGoogle Scholar |

Kato H, Onda Y, Tanaka Y, Asano M (2009) Field measurement of infiltration rate using an oscillating nozzle rainfall simulator in the cold, semiarid grassland of Mongolia. Catena 76, 173–181.
Field measurement of infiltration rate using an oscillating nozzle rainfall simulator in the cold, semiarid grassland of Mongolia.Crossref | GoogleScholarGoogle Scholar |

Kim M, Gilley JE (2008) Artificial Neural Network estimation of soil erosion and nutrient concentrations in runoff from land application areas. Computers and Electronics in Agriculture 64, 268–275.
Artificial Neural Network estimation of soil erosion and nutrient concentrations in runoff from land application areas.Crossref | GoogleScholarGoogle Scholar |

Koekkoek E, Booltink H (1999) Neural network models to predict soil water retention. European Journal of Soil Science 50, 489–495.
Neural network models to predict soil water retention.Crossref | GoogleScholarGoogle Scholar |

Koulouri M, Giourga C (2007) Land abandonment and slope gradient as key factors of soil erosion in Mediterranean terraced lands. Catena 69, 274–281.
Land abandonment and slope gradient as key factors of soil erosion in Mediterranean terraced lands.Crossref | GoogleScholarGoogle Scholar |

Lasanta T, Garcıa-Ruiz JM, Rontomé P, Sancho-Marcén C (2000) Runoff and sediment yield in a semi-arid environment: the effect of land management after farmland abandonment. Catena 38, 265–278.
Runoff and sediment yield in a semi-arid environment: the effect of land management after farmland abandonment.Crossref | GoogleScholarGoogle Scholar |

Li W (2011) Applying grey relational analysis to evaluate the factors affecting innovation capability: evidence from Chinese high-tech industries. Canadian Social Science 7, 119–124.

Li Y, Xu X, Zhu X, Tian J (1992) The effectiveness of vegetation roots in the Loess Plateau on improving soil permeability. Chinese Science Bulletin 37, 366–369. [in Chinese with English abstract]

Licznar P, Nearing MA (2003) Artificial neural networks of soil erosion and runoff prediction at the plot scale. Catena 51, 89–114.
Artificial neural networks of soil erosion and runoff prediction at the plot scale.Crossref | GoogleScholarGoogle Scholar |

Lieskovský J, Kenderessy P (2014) Modelling the effect of vegetation cover and different tillage practices on soil erosion in vineyards: a case study en Vráble (Slovakia) using WATEM/SEDEM. Land Degradation & Development 25, 288–296.
Modelling the effect of vegetation cover and different tillage practices on soil erosion in vineyards: a case study en Vráble (Slovakia) using WATEM/SEDEM.Crossref | GoogleScholarGoogle Scholar |

Liu Q, Singh V, Xiang H (2005) Plot erosion model using gray relational analysis method. Journal of Hydrologic Engineering 10, 288–294.
Plot erosion model using gray relational analysis method.Crossref | GoogleScholarGoogle Scholar |

Llorens P, Domingo F (2007) Rainfall partitioning by vegetation under Mediterranean conditions. A review of studies in Europe. Journal of Hydrology 335, 37–54.
Rainfall partitioning by vegetation under Mediterranean conditions. A review of studies in Europe.Crossref | GoogleScholarGoogle Scholar |

Loukas YL (2000) Artificial neural networks in liquid chromatography: efficient and improved quantitative structure–retention relationship models. Journal of Chromatography. A 904, 119–129.
Artificial neural networks in liquid chromatography: efficient and improved quantitative structure–retention relationship models.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD3cXoslKnt78%3D&md5=97afb2715f89ad715f49a104ce92cb73CAS | 11204229PubMed |

Lu K, Li Z, Zhang X, Yu G (2011) Experimental study on law of runoff-erosion-sediment yield under indoor simulated rainfall condition. Journal of Soil and Water Conservation 14, 6–9. [in Chinese with English abstract]

Molina A, Govers G, Vanacker V, Poesen J, Zeelmaekers E, Cisneros F (2007) Runoff generation in a degraded Andean ecosystem: Interaction of vegetation cover and land use. Catena 71, 357–370.
Runoff generation in a degraded Andean ecosystem: Interaction of vegetation cover and land use.Crossref | GoogleScholarGoogle Scholar |

Morgan RPC, Quinton JN, Smith RE, Govers G, Poesen JWA, Auerswald K, Chisci G, Torri D, Styczen ME (1998) The European Soil Erosion Model (EUROSEM): a dynamic approach for predicting sediment transport from fields and small catchments. Earth Surface Processes and Landforms 23, 527–544.
The European Soil Erosion Model (EUROSEM): a dynamic approach for predicting sediment transport from fields and small catchments.Crossref | GoogleScholarGoogle Scholar |

Nahm ES, Woo KB (1998) Prediction of the amount of water supplied in wide-area waterworks. In ‘Industrial Electronics Society, IECON’98. Proceedings of the 24th Annual Conference of the IEEE’. pp. 265–268.

Nearing MA, Foster GR, Lane LJ, Finkner SC (1989) A process-based soil erosion model for USDA-Water Erosion Prediction Project technology. Transactions of the American Society of Agricultural Engineers 32, 1587–1593.
A process-based soil erosion model for USDA-Water Erosion Prediction Project technology.Crossref | GoogleScholarGoogle Scholar |

Olabi AG, Casalino G, Benyounis KY, Hashmi MSJ (2006) An ANN and Taguchi algorithms integrated approach to the optimization of CO2 laser welding. Advances in Engineering Software 37, 643–648.
An ANN and Taguchi algorithms integrated approach to the optimization of CO2 laser welding.Crossref | GoogleScholarGoogle Scholar |

Pan R (2000) A Row(column)- scanning- based algorithm for deciding whether a point set is inside a polygon. Journal of Fujian Normal University (Natural Science Edition) 16, 17–21.

Pan C, Shangguan Z, Lei T (2006) Influences of grass and moss on runoff and sediment yield on sloped loess surfaces under simulated rainfall. Hydrological Processes 20, 3815–3824.
Influences of grass and moss on runoff and sediment yield on sloped loess surfaces under simulated rainfall.Crossref | GoogleScholarGoogle Scholar |

Park SS, Jung WG, Shin YG, Jang DS (2008) Optical character recognition system using BP algorithm. International Journal of Computer Science and Network Security 8, 118–124.

Partovi FY, Anandarajan M (2002) Classifying inventory using an artificial neural network approach. Computers & Industrial Engineering 41, 389–404.
Classifying inventory using an artificial neural network approach.Crossref | GoogleScholarGoogle Scholar |

Petersen SL, Stringham TK (2008) Infiltration, runoff, and sediment yield in response to western Juniper encroachment in southeast Oregon. Rangeland Ecology and Management 61, 74–81.
Infiltration, runoff, and sediment yield in response to western Juniper encroachment in southeast Oregon.Crossref | GoogleScholarGoogle Scholar |

Pierson FB, Bates JD, Svejcar TJ, Hardegree SP (2007) Runoff and erosion after cutting western Juniper. Rangeland Ecology and Management 60, 285–292.
Runoff and erosion after cutting western Juniper.Crossref | GoogleScholarGoogle Scholar |

Ran Q, Su D, Li P, He Z (2012) Experimental study of the impact of rainfall characteristics on runoff generation and soil erosion. Journal of Hydrology 424–425, 99–111.
Experimental study of the impact of rainfall characteristics on runoff generation and soil erosion.Crossref | GoogleScholarGoogle Scholar |

Regan J, Rodgers M, Healy M, Kirwan L, Fenton O (2010) Determining phosphorus and sediment release rates from five Irish tillage soils. Journal of Environmental Quality 39, 185–192.
Determining phosphorus and sediment release rates from five Irish tillage soils.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC3cXptVCjsg%3D%3D&md5=2f77bde131b2135ed828908928c61a3bCAS | 20048306PubMed |

Shamseldin AY (1997) Application of a neural network technique to rainfall-runoff modelling. Journal of Hydrology 199, 272–294.
Application of a neural network technique to rainfall-runoff modelling.Crossref | GoogleScholarGoogle Scholar |

Smets T, Poesen J, Bochet E (2008a) Impact of plot length on the effectiveness of different soil-surface covers in reducing runoff and soil loss by water. Progress in Physical Geography 32, 654–677.
Impact of plot length on the effectiveness of different soil-surface covers in reducing runoff and soil loss by water.Crossref | GoogleScholarGoogle Scholar |

Smets T, Poesen J, Knapen A (2008b) Spatial scale effects on the effectiveness of organic mulches in reducing soil erosion by water. Earth-Science Reviews 89, 1–12.
Spatial scale effects on the effectiveness of organic mulches in reducing soil erosion by water.Crossref | GoogleScholarGoogle Scholar |

Vahabi J, Nikkami D (2008) Assessing dominant factors affecting soil erosion using a portable rainfall simulator. International Journal of Sediment Research 23, 376–386.
Assessing dominant factors affecting soil erosion using a portable rainfall simulator.Crossref | GoogleScholarGoogle Scholar |

Verbist B Poesena J van Noordwijkb M Widiantoc Suprayogoc D Agusd F Deckersa J 2010 Factors affecting soil loss at plot scale and sediment yield at catchment scale in a tropical volcanic agroforestry landscape. Catena 80 34 46

Wang Y, Shao M (2013) Spatial variability of soil physical properties in a region of the loess plateau of PR China subjet to wind and water erosion. Land Degradation & Development 24, 296–304.
Spatial variability of soil physical properties in a region of the loess plateau of PR China subjet to wind and water erosion.Crossref | GoogleScholarGoogle Scholar |

Wang J, Wu P, Zhao X (2013) Soil infiltration based on bp neural network and grey relational analysis. Revista Brasileira de Ciencia do Solo 37, 97–105.
Soil infiltration based on bp neural network and grey relational analysis.Crossref | GoogleScholarGoogle Scholar |

Wang J, Huang J, Zhao X, Wu P, Horwath W R, Li H, Jing Z, Chen X (2014) Simulated study on effects of ground managements on soil water and available nutrients in jujube orchards. Land Degradation & Development 27, 35–42.
Simulated study on effects of ground managements on soil water and available nutrients in jujube orchards.Crossref | GoogleScholarGoogle Scholar |

Wen J, Zhao J, Luo S (2000) The improvements of BP neural network learning algorithm. In ‘Signal Processing Proceedings. WCCC-ICSP 2000. 5th International Conference’. IEEE. pp. 1647–1649.

Wu X, Zhang L (2006) Research on effecting factors of precipitation’s redistribution of rainfall intensity, gradient and cover ratio. Journal of Soil and Water Conservation 20, 28–30. [in Chinese with English abstract]

Wu G, Cheng J, Wu F, Wang J (2011) Study of the erosion force of natural rainfall in Yangling. Zhongguo Nongcun Shuili Shuidian 13, 6–9. [in Chinese with English abstract]

Xie Y (2009) Study on the ecological response of hydrology on forest vegetation change in Luoyu Watershed based on the SWAT model. Research of Soil and Water Conservation 4, 197–202. [in Chinese with English abstract]

Xu H, Wan P, Huang L (2011) An improved genetic algorithm for solving simulation optimization problems. International Journal of the Physical Sciences 6, 2399–2404.

Yan W, Diao C, Tang Z, Li X (2000) The study of gas sensor array signal processing with improved BP algorithm. Sensors and Actuators. B, Chemical 66, 283–285.
The study of gas sensor array signal processing with improved BP algorithm.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD3cXlsleitL8%3D&md5=5aeea390a637e407297801ec9a78d57cCAS |

Yang J (2001) ‘Practical course of the artificial neural network.’ (Zhejiang University Press: Hangzhou, China) [in Chinese]

Yapo PO, Gupta HV, Sorooshian S (1996) Automatic calibration of conceptual rainfall-runoff models: sensitivity to calibration data. Journal of Hydrology 181, 23–48.
Automatic calibration of conceptual rainfall-runoff models: sensitivity to calibration data.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DyaK28XkvFakurk%3D&md5=3efce5a6ff983ed6e246146431e78cadCAS |

Yesilnacar MI, Sahinkaya E, Naz M, Ozkaya B (2008) Neural network prediction of nitrate in groundwater of Harran Plain, Turkey. Environmental Geology 56, 19–25.
Neural network prediction of nitrate in groundwater of Harran Plain, Turkey.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BD1cXht1equrbK&md5=1dc53dff1775508e931c63936fcc295cCAS |

Zhang L (1993) ‘Models and applications of artificial neural networks.’ (Fudan University Press: Shanghai, China) [in Chinese]

Zhang Y, Liu J (2002) Improvement of sensor’s performance by using BP Neutral Network and its new algorithms. Journal of Transduction Technology 3, 185–188.

Zhang H, Zheng F (2011) Effect of slope gradient on erosion from a red hillslope under different rainfall intensity. Journal of Soil and Water Conservation 25, 40–43. [in Chinese with English abstract]

Zhang X, Shi X, Yu D, Wang H, Liu Z, Zhang W (2010) Effects of antecedent soil moisture on hillslope runoff-generation and soil erosion over red soil-mantled landscapes. Shui Kexue Jinzhan 21, 23–29. [in Chinese with English abstract]

Zhang G, Liu G, Wang G, Wang Y (2011) Effects of vegetation cover and rainfall intensity on sediment-bound nutrient loss, size composition and volume fractal dimension of sediment particles. Pedosphere 21, 676–684.
Effects of vegetation cover and rainfall intensity on sediment-bound nutrient loss, size composition and volume fractal dimension of sediment particles.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC3MXhsVGkurfF&md5=2e01b2be75bcbb43dff73a14fa0fd3b5CAS |

Zhao X, Wang W, Wu P, Feng H, Wu F (2004) Artificial neural network model for soil infiltration in slope farmland. Transactions of the CSAE 20, 48–50.

Zhao X, Wu P, Feng H, Wang Y, Shao H (2009) Towards development of eco-agriculture of rainwater-harvesting for supplemental irrigation in the semi-arid Loess Plateau of China. Journal of Agronomy & Crop Science 195, 399–407.
Towards development of eco-agriculture of rainwater-harvesting for supplemental irrigation in the semi-arid Loess Plateau of China.Crossref | GoogleScholarGoogle Scholar |

Zhao G, Mu X, Wen Z, Wang F, Gao P (2013a) Soil erosion, conservation, and eco-environment changes in the Loess Plateau of China. Land Degradation & Development 24, 499–510.

Zhao X, Wu P, Chen X, Helmers MJ, Zhou X (2013b) Runoff and sediment yield under simulated rainfall on hillslopes in the Loess Plateau of China. Soil Research 51, 50–58.
Runoff and sediment yield under simulated rainfall on hillslopes in the Loess Plateau of China.Crossref | GoogleScholarGoogle Scholar | 1:CAS:528:DC%2BC3sXks1OnsLw%3D&md5=739fcde8dcbf696e2f4ae9ceba2f3772CAS |

Ziadat FM, Taimeh AY (2013) Effect of rainfall intensity, slope and land use and antecedent soil moisture on soil erosion in an arid environment. Land Degradation & Development 24, 582–590.
Effect of rainfall intensity, slope and land use and antecedent soil moisture on soil erosion in an arid environment.Crossref | GoogleScholarGoogle Scholar |