Skip to main content

Advertisement

Log in

Spatial mapping of gully erosion susceptibility using an efficient metaheuristic neural network

  • Original Article
  • Published:
Environmental Earth Sciences Aims and scope Submit manuscript

Abstract

Developing a susceptibility map is a crucial primary step for dealing with undesirable natural phenomena, gully erosion included. On the other hand, recent computational progress call for employing new methodologies to keep the solutions updated. In this work, the performance of a conventional artificial neural network (ANN) is improved by applying a metaheuristic algorithm (symbiotic organisms search—SOS) for generating the gully erosion susceptibility map of an area in Golestan Province, Northern Iran. A geo-database is created from the gully erosion inventory and twenty conditioning factors. After analyzing the interrelated relationships between the geo-database components, training and testing data sets are formed. The models are executed with proper configurations and according to the results, the SOS algorithm could enhance the training accuracy of the ANN from 92.8% to 98.4%, and testing accuracy from 89.8% to 91.4%. In addition, comparing the performance of the SOS with shuffled complex evolution (SCE-NN) and electromagnetic field optimization (EFO-NN) algorithms revealed the greater accuracy of the SOS. However, the SCE-NN and EFO-NN performed more accurately than conventional ANN. Therefore, it can be concluded that the use of metaheuristic techniques may improve the prediction ability of the ANN in gully erosion susceptibility mapping. Finally, a monolithic equation is extracted from the SOS–ANN model to be used as a predictive formula for similar purposes.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

Availability of data and materials

The data used for the current study is available upon the reasonable request from the authors.

References

  • Abdi H, Williams LJ (2010) Principal component analysis. Wiley Interdiscip Rev Comput Stat 2:433–459

    Article  Google Scholar 

  • Abdullahi M, Ngadi MA (2016) Symbiotic organism search optimization based task scheduling in cloud computing environment. Futur Gener Comput Syst 56:640–650

    Article  Google Scholar 

  • Abedinpourshotorban H, Shamsuddin SM, Beheshti Z, Jawawi DN (2016) Electromagnetic field optimization: a physics-inspired metaheuristic optimization algorithm. Swarm Evol Comput 26:8–22

    Article  Google Scholar 

  • Abraham TH (2002) (Physio) logical circuits: the intellectual origins of the McCulloch–Pitts neural networks. J Hist Behav Sci 38:3–25

    Article  Google Scholar 

  • Al-Najjar HA, Pradhan B, Beydoun G, Sarkar R, Park H-J, Alamri A (2022) A novel method using explainable artificial intelligence (XAI)-based Shapley additive explanations for spatial landslide prediction using time-series SAR dataset. Gondwana Research

  • Arabameri A, Asadi Nalivan O, Chandra Pal S, Chakrabortty R, Saha A, Lee S, Pradhan B, Tien Bui D (2020a) Novel machine learning approaches for modelling the gully erosion susceptibility. Remote Sens 12:2833

    Article  Google Scholar 

  • Arabameri A, Asadi Nalivan O, Saha S, Roy J, Pradhan B, Tiefenbacher JP, Thi Ngo PT (2020b) Novel ensemble approaches of machine learning techniques in modeling the gully erosion susceptibility. Remote Sens 12:1890

    Article  Google Scholar 

  • Arabameri A, Chen W, Loche M, Zhao X, Li Y, Lombardo L, Cerda A, Pradhan B, Bui DT (2020c) Comparison of machine learning models for gully erosion susceptibility mapping. Geosci Front 11:1609–1620

    Article  Google Scholar 

  • Arabameri A, Chandra Pal S, Costache R, Saha A, Rezaie F, Seyed Danesh A, Pradhan B, Lee S, Hoang N-D (2021) Prediction of gully erosion susceptibility mapping using novel ensemble machine learning algorithms. Geomat Nat Haz Risk 12:469–498

    Article  Google Scholar 

  • Asadi Nalivan O, Mousavi Tayebi SA, Mehrabi M, Ghasemieh H, Scaioni M (2022) A hybrid intelligent model for spatial analysis of groundwater potential around Urmia Lake, Iran. Stochast Environ Res Risk Assess 37:1–18

    Google Scholar 

  • Atashpaz-Gargari E, Lucas C (2007) Imperialist competitive algorithm: an algorithm for optimization inspired by imperialistic competition. In: 2007 IEEE congress on evolutionary computation. Ieee, pp 4661–4667

  • Band SS, Janizadeh S, Chandra Pal S, Saha A, Chakrabortty R, Shokri M, Mosavi A (2020) Novel ensemble approach of deep learning neural network (DLNN) model and particle swarm optimization (PSO) algorithm for prediction of gully erosion susceptibility. Sensors 20:5609

    Article  Google Scholar 

  • Borrelli P, Poesen J, Vanmaercke M, Ballabio C, Hervás J, Maerker M, Scarpa S, Panagos P (2022) Monitoring gully erosion in the European Union: a novel approach based on the Land Use/Cover Area frame survey (LUCAS). Int Soil Water Conserv Res 10:17–28

    Article  Google Scholar 

  • Chakraborty S, Nama S, Saha AK (2022) An improved symbiotic organisms search algorithm for higher dimensional optimization problems. Knowl-Based Syst 236:107779

    Article  Google Scholar 

  • Chen J, Yang S, Li H, Zhang B, Lv J (2013) Research on geographical environment unit division based on the method of natural breaks (Jenks). Int Arch Photogramm Remote Sens Spat Inf Sci 3:47–50

    Article  Google Scholar 

  • Cheng M-Y, Prayogo D (2014) Symbiotic organisms search: a new metaheuristic optimization algorithm. Comput Struct 139:98–112

    Article  Google Scholar 

  • Conoscenti C, Agnesi V, Cama M, Caraballo-Arias NA, Rotigliano E (2018) Assessment of gully erosion susceptibility using multivariate adaptive regression splines and accounting for terrain connectivity. Land Degrad Dev 29:724–736

    Article  Google Scholar 

  • Dorigo M (1992) Optimization, learning and natural algorithms. Ph D Thesis, Politecnico di Milano

  • Duan Q, Gupta VK, Sorooshian S (1993) Shuffled complex evolution approach for effective and efficient global minimization. J Optim Theory Appl 76:501–521

    Article  Google Scholar 

  • Elmahdy SI, Mohamed MM, Ali TA, Abdalla JE-D, Abouleish M (2022) Land subsidence and sinkholes susceptibility mapping and analysis using random forest and frequency ratio models in Al Ain, UAE. Geocarto Int 37:315–331

    Article  Google Scholar 

  • Esmaili SK-SE-K, Khodashenas S (2020) Comparison of the symbiotic organisms search algorithm with meta-heuristic algorithms in flood routing model. J Water Soil 34:365–378

    Google Scholar 

  • Esmaeili M, Osanloo M, Rashidinejad F, Aghajani Bazzazi A, Taji M (2014) Multiple regression, ANN and ANFIS models for prediction of backbreak in the open pit blasting. Eng Comput 30:549–558

    Article  Google Scholar 

  • Gao X, Cui Y, Hu J, Xu G, Wang Z, Qu J, Wang H (2018) Parameter extraction of solar cell models using improved shuffled complex evolution algorithm. Energy Convers Manage 157:460–479

    Article  Google Scholar 

  • Gayen A, Pourghasemi HR, Saha S, Keesstra S, Bai S (2019) Gully erosion susceptibility assessment and management of hazard-prone areas in India using different machine learning algorithms. Sci Total Environ 668:124–138

    Article  Google Scholar 

  • Geem ZW, Kim JH, Loganathan GV (2001) A new heuristic optimization algorithm: harmony search. SIMULATION 76:60–68

    Article  Google Scholar 

  • Goldanloo MJ, Gharehchopogh FS (2022) A hybrid OBL-based firefly algorithm with symbiotic organisms search algorithm for solving continuous optimization problems. J Supercomput 78:3998–4031

    Article  Google Scholar 

  • Guru B, Seshan K, Bera S (2017) Frequency ratio model for groundwater potential mapping and its sustainable management in cold desert, India. J King Saud Univ Sci 29:333–347

    Article  Google Scholar 

  • Hasanpour Zaryabi E, Moradi L, Kalantar B, Ueda N, Halin AA (2022) Unboxing the black box of attention mechanisms in remote sensing big data using XAI. Remote Sens 14:6254

    Article  Google Scholar 

  • Hornik K (1991) Approximation capabilities of multilayer feedforward networks. Neural Netw. https://doi.org/10.1016/0893-6080(91)90009-T

    Article  Google Scholar 

  • Jahanafroozi N, Shokrpour S, Nejati F, Benjeddou O, Khordehbinan MW, Marani A, Nehdi ML (2022) New heuristic methods for sustainable energy performance analysis of HVAC systems. Sustainability 14:14446

    Article  Google Scholar 

  • Jiang C, Fan W, Yu N, Nan Y (2021) A new method to predict gully head erosion in the Loess Plateau of China based on SBAS-InSAR. Remote Sens 13:421

    Article  Google Scholar 

  • Kaiser HF (1958) The varimax criterion for analytic rotation in factor analysis. Psychometrika 23:187–200

    Article  Google Scholar 

  • Karaboga D (2005) An idea based on honey bee swarm for numerical optimization. Technical report-tr06, Erciyes university, engineering faculty, computer

  • Kennedy J, Eberhart R (1995) Particle swarm optimization. In: Proceedings of ICNN'95-international conference on neural networks. IEEE, pp 1942–1948

  • Kim J-O, Ahtola O, Spector PE, Kim J-O, Mueller CW (1978) Introduction to factor analysis: what it is and how to do it. Sage, London

    Book  Google Scholar 

  • Kirkpatrick S, Gelatt CD Jr, Vecchi MP (1983) Optimization by simulated annealing. Science 220:671–680

    Article  Google Scholar 

  • Lee S, Pradhan B (2007) Landslide hazard mapping at Selangor, Malaysia using frequency ratio and logistic regression models. Landslides 4:33–41

    Article  Google Scholar 

  • Liu G, Arabameri A, Santosh M, Nalivan OA (2023) Optimizing machine learning algorithms for spatial prediction of gully erosion susceptibility with four training scenarios. Environ Sci Pollut Res 30:46979–46996

    Article  Google Scholar 

  • Maxwell AE, Sharma M, Donaldson KA (2021) Explainable boosting machines for slope failure spatial predictive modeling. Remote Sens 13:4991

    Article  Google Scholar 

  • Mehrabi M (2021) Landslide susceptibility zonation using statistical and machine learning approaches in Northern Lecco, Italy. Nat Hazards. https://doi.org/10.1007/s11069-021-05083-z

    Article  Google Scholar 

  • Mehrabi M, Moayedi H (2021) Landslide susceptibility mapping using artificial neural network tuned by metaheuristic algorithms. Environ Earth Sci 80:1–20

    Article  Google Scholar 

  • Mehrabi M, Pradhan B, Moayedi H, Alamri A (2020) Optimizing an adaptive neuro-fuzzy inference system for spatial prediction of landslide susceptibility using four state-of-the-art metaheuristic techniques. Sensors 20:1723

    Article  Google Scholar 

  • Moayedi H, Mehrabi M, Mosallanezhad M, Rashid ASA, Pradhan B (2019) Modification of landslide susceptibility mapping using optimized PSO-ANN technique. Eng Comput 35:967–984. https://doi.org/10.1007/s00366-018-0644-0

    Article  Google Scholar 

  • Moayedi H, Mehrabi M, Bui DT, Pradhan B, Foong LK (2020) Fuzzy-metaheuristic ensembles for spatial assessment of forest fire susceptibility. J Environ Manage 260:109867

    Article  Google Scholar 

  • Moayedi H, Ghareh S, Foong LK (2021) Quick integrative optimizers for minimizing the error of neural computing in pan evaporation modeling. Eng Comput:1–17

  • Modak P, Mandal M, Mandi S, Ghosh B (2022) Gully erosion vulnerability modelling, estimation of soil loss and assessment of gully morphology: a study from cratonic part of eastern India. Environ Sci Pollut Res:1–32

  • More JJ (1978) The Levenberg-Marquardt algorithm: implementation and theory. Numerical analysis. Springer, Berlin, pp 105–116

    Google Scholar 

  • Nachtergaele J, Poesen J (2002) Spatial and temporal variations in resistance of loess-derived soils to ephemeral gully erosion. Eur J Soil Sci 53:449–463

    Article  Google Scholar 

  • Nguyen H, Mehrabi M, Kalantar B, Moayedi H, MaM A (2019) Potential of hybrid evolutionary approaches for assessment of geo-hazard landslide susceptibility mapping. Geomat Nat Haz Risk 10:1667–1693. https://doi.org/10.1080/19475705.2019.1607782

    Article  Google Scholar 

  • Pal S, Paul S, Debanshi S (2022) Identifying sensitivity of factor cluster based gully erosion susceptibility models. Environ Sci Pollut Res 29:1–20

    Article  Google Scholar 

  • Phinzi K, Holb I, Szabó S (2021) Mapping permanent gullies in an agricultural area using satellite images: efficacy of machine learning algorithms. Agronomy 11:333

    Article  Google Scholar 

  • Poesen J, Nachtergaele J, Verstraeten G, Valentin C (2003) Gully erosion and environmental change: importance and research needs. CATENA 50:91–133

    Article  Google Scholar 

  • Poesen J, Torri D, Vanwalleghem T (2011) Gully erosion: procedures to adopt when modelling soil erosion in landscapes affected by gullying. Handbook of erosion modelling. Wiley Online Library, New York

    Google Scholar 

  • Pourghasemi HR, Yousefi S, Kornejady A, Cerdà A (2017) Performance assessment of individual and ensemble data-mining techniques for gully erosion modeling. Sci Total Environ 609:764–775

    Article  Google Scholar 

  • Rashedi E, Nezamabadi-Pour H, Saryazdi S (2009) GSA: a gravitational search algorithm. Inf Sci 179:2232–2248

    Article  Google Scholar 

  • Roy P, Chakrabortty R, Chowdhuri I, Malik S, Das B, Pal SC (2020) Development of different machine learning ensemble classifier for gully erosion susceptibility in Gandheswari Watershed of West Bengal, India. Mach Learn Intell Decision Sci:1–26

  • Schmitt A, Rodzik J, Zgłobicki W, Russok C, Dotterweich M, Bork H-R (2006) Time and scale of gully erosion in the Jedliczny Dol gully system, south-east Poland. CATENA 68:124–132

    Article  Google Scholar 

  • Seyedashraf O, Mehrabi M, Akhtari AA (2018) Novel approach for dam break flow modeling using computational intelligence. J Hydrol 559:1028–1038. https://doi.org/10.1016/j.jhydrol.2018.03.001

    Article  Google Scholar 

  • Song S, Jia H, Ma J (2019) A chaotic electromagnetic field optimization algorithm based on fuzzy entropy for multilevel thresholding color image segmentation. Entropy 21:398

    Article  Google Scholar 

  • Talebi B, Dehkordi MN (2018) Sensitive association rules hiding using electromagnetic field optimization algorithm. Expert Syst Appl 114:155–172

    Article  Google Scholar 

  • Valentin C, Poesen J, Li Y (2005) Gully erosion: Impacts, factors and control. CATENA 63:132–153

    Article  Google Scholar 

  • Vanmaercke M, Panagos P, Vanwalleghem T, Hayas A, Foerster S, Borrelli P, Rossi M, Torri D, Casali J, Borselli L (2021) Measuring, modelling and managing gully erosion at large scales: a state of the art. Earth Sci Rev 218:103637

    Article  Google Scholar 

  • Wang R, Zhang S, Pu L, Yang J, Yang C, Chen J, Guan C, Wang Q, Chen D, Fu B (2016) Gully erosion mapping and monitoring at multiple scales based on multi-source remote sensing data of the Sancha River Catchment, Northeast China. ISPRS Int J Geo Inf 5:200

    Article  Google Scholar 

  • Zhang J, Sun L, Zhong Y, Ding Y, Du W, Lu K, Jia J (2022) Kinetic model and parameters optimization for Tangkou bituminous coal by the bi-Gaussian function and Shuffled Complex Evolution. Energy 243:123012

    Article  Google Scholar 

Download references

Funding

Not applicable.

Author information

Authors and Affiliations

Authors

Contributions

All authors contributed to the study conception and design. Material preparation, data collection and analysis were performed by MM, OAN, and MS. The first draft of the manuscript was written by MM, OAN, MK, and AK. MS and HM commented on previous versions of the manuscript. All authors read and approved the final manuscript.

Corresponding author

Correspondence to Hossein Moayedi.

Ethics declarations

Conflict of interest

The authors declare that they have no competing interests.

Ethical approval

Not applicable.

Consent to participate

Not applicable.

Consent to publish

Not applicable.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mehrabi, M., Nalivan, O.A., Scaioni, M. et al. Spatial mapping of gully erosion susceptibility using an efficient metaheuristic neural network. Environ Earth Sci 82, 459 (2023). https://doi.org/10.1007/s12665-023-11106-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12665-023-11106-8

Keywords

Navigation