Skip to main content
Log in

Predicting the Maximum Dry Density of Soil by Using the Individual and Hybrid Framework of the Decision Tree

  • Original Paper
  • Published:
Indian Geotechnical Journal Aims and scope Submit manuscript

Abstract

The density of embankment fill soil material is a crucial factor determined by the maximum dry density (MDD) in transport construction projects. Traditionally, the modified proctor test is conducted in laboratories to determine this parameter. However, this paper presents a novel method that utilizes decision tree (DT) analysis to forecast the MDD of soil stabilizing mixtures. The DT method is employed to create accurate and comprehensive models that establish relationships between the MDD of stabilized soil and various natural soil properties, including particle size distribution, plasticity, linear shrinkage, and the type and quantity of stabilizing additives. These models are trained, validated, and tested with an experimental dataset of soil types obtained from previously published stabilization test results. The study concludes that DT is a viable alternative approach for predicting MDD based on input parameters. To enhance the accuracy of the DT model in predicting MDD, two meta-heuristic algorithms, namely Escaping Bird Search optimization and Runge–Kutta optimization, are integrated. This integration led to the development of two hybrid models, DTEB and DTRU. The DTEB model achieves impressive coefficient correlation (R2) values of 0.9950, 0.9863, and 0.9908 for the training, validation, and testing data, respectively. Additionally, DTEB demonstrates the most favourable root-mean-square error of 16.60. Overall, the DTEB model demonstrates acceptable predictive ability and superior generalization ability compared to the DT and DTRU models developed in this study.

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

Similar content being viewed by others

References

  1. Janjua ZS, Chand J (2016) Correlation of CBR with index properties of soil. Int J Civ Eng Technol 7(5):57–62

    Google Scholar 

  2. Duque J, Fuentes W, Rey S, Molina E (2020) Effect of grain size distribution on california bearing ratio (CBR) and modified proctor parameters for granular materials. Arab J Sci Eng 45:8231–8239

    Article  Google Scholar 

  3. Preethi S, Tangadagi RB, Manjunatha M, Bharath A (2020) Sustainable effect of chemically treated aggregates on bond strength of bitumen. J Green Eng 10(9):5076–5089

    Google Scholar 

  4. Akpokodje EG (1985) The stabilization of some arid zone soils with cement and lime. Q J Eng Geol 18(2):173–180

    Article  Google Scholar 

  5. Bell FG (1996) Lime stabilization of clay minerals and soils. Eng Geol 42(4):223–237

    Article  Google Scholar 

  6. Alavi AH, Gandomi AH, Gandomi M, Sadat Hosseini SS (2009) Prediction of maximum dry density and optimum moisture content of stabilised soil using RBF neural networks. IES J Part A Civ Struct Eng 2(2):98–106

    Article  Google Scholar 

  7. Ngowi AB (1997) Improving the traditional earth construction: a case study of Botswana. Constr Build Mater 11(1):1–7

    Article  Google Scholar 

  8. KS C, YM OM, Mohamad Ghazali SK, (2015) Estimating maximum dry density and optimum moisture content of compacted soils. In: international conference on advances in civil and environmental engineering, pp 1–8

  9. Bharath A, Manjunatha M, Reshma TV, Preethi S (2021) Influence and correlation of maximum dry density on soaked & unsoaked CBR of soil. Mater Today Proc 47:3998–4002

    Article  Google Scholar 

  10. Suman S, Mahamaya M, Das SK (2016) Prediction of maximum dry density and unconfined compressive strength of cement stabilised soil using artificial intelligence techniques. Int J Geosynth Gr Eng 2:1–11

    Google Scholar 

  11. Hossein Alavi A, Hossein Gandomi A, Mollahassani A, Akbar Heshmati A, Rashed A (2010) Modeling of maximum dry density and optimum moisture content of stabilized soil using artificial neural networks. J Plant Nutr Soil Sci 173(3):368–379

    Article  Google Scholar 

  12. Metropolis N, Rosenbluth AW, Rosenbluth MN, Teller AH, Teller E (1953) Equation of state calculations by fast computing machines. J Chem Phys 21(6):1087–1092

    Article  Google Scholar 

  13. Alavi AH, Heshmati AA, Gandomi AH, Askarinejad A, Mirjalili M (2008) Utilisation of computational intelligence techniques for stabilised soil. In: 6th international conference on engineering computational technology, ECT 2008

  14. Narendra BS, Sivapullaiah PV, Suresh S, Omkar SN (2006) Prediction of unconfined compressive strength of soft grounds using computational intelligence techniques: a comparative study. Comput Geotech 33(3):196–208

    Article  Google Scholar 

  15. Banzhaf W, Nordin P, Keller RE, Francone FD (1998) Genetic programming: an introduction: on the automatic evolution of computer programs and its applications. Morgan Kaufmann Publishers Inc, Cambridge

    Google Scholar 

  16. Koza J (1992) Genetic programming, on programming of computer by natural selection. MIT Press Cambridge, MA

    Google Scholar 

  17. Masoumi F, Najjar-Ghabel S, Safarzadeh A, Sadaghat B (2020) Automatic calibration of the groundwater simulation model with high parameter dimensionality using sequential uncertainty fitting approach. Water Supply 20(8):3487–3501. https://doi.org/10.2166/ws.2020.241

    Article  Google Scholar 

  18. Mahesh B (2020) Machine learning algorithms-a review. Int J Sci Res (IJSR) 9:381–386

    Google Scholar 

  19. Zhou Z-H (2021) Machine learning. Springer Nature, Cham

    Book  Google Scholar 

  20. Wang H, Lei Z, Zhang X, Zhou B, Peng J (2016) Machine learning basics, Deep Learn, pp 98–164

  21. Biau G (2012) Analysis of a random forests model. J Mach Learn Res 13(1):1063–1095

    MathSciNet  Google Scholar 

  22. Kim K (2003) Financial time series forecasting using support vector machines. Neurocomputing 55(1–2):307–319

    Article  Google Scholar 

  23. Jordan MI, Mitchell TM (2015) Machine learning: trends, perspectives, and prospects. Science 349(6245):255–260

    Article  MathSciNet  Google Scholar 

  24. Myles AJ, Feudale RN, Liu Y, Woody NA, Brown SD (2004) An introduction to decision tree modeling. J Chemom A J Chemom Soc 18(6):275–285

    Google Scholar 

  25. Song Y-Y, Ying LU (2015) Decision tree methods: applications for classification and prediction. Shanghai Arch psychiatry 27(2):130

    Google Scholar 

  26. Magerman DM (1995) Statistical decision-tree models for parsing, arXiv Prepr. C

  27. Kotsiantis SB (2013) Decision trees: a recent overview. Artif Intell Rev 39:261–283

    Article  Google Scholar 

  28. Taffese WZ, Abegaz KA (2022) Prediction of compaction and strength properties of amended soil using machine learning. Buildings 12(5):613

    Article  Google Scholar 

  29. Karbassi A, Mohebi B, Rezaee S, Lestuzzi P (2014) Damage prediction for regular reinforced concrete buildings using the decision tree algorithm. Comput Struct 130:46–56

    Article  Google Scholar 

  30. Erdal HI (2013) Two-level and hybrid ensembles of decision trees for high performance concrete compressive strength prediction. Eng Appl Artif Intell 26(7):1689–1697

    Article  Google Scholar 

  31. Ahmad A et al (2021) Prediction of compressive strength of fly ash based concrete using individual and ensemble algorithm. Materials (Basel) 14(4):794

    Article  Google Scholar 

  32. Hedenström A, Rosén M (2001) Predator versus prey: on aerial hunting and escape strategies in birds. Behav Ecol 12(2):150–156

    Article  Google Scholar 

  33. Lentink D et al (2007) How swifts control their glide performance with morphing wings. Nature 446(7139):1082–1085

    Article  Google Scholar 

  34. Howland HC (1974) Optimal strategies for predator avoidance: the relative importance of speed and manoeuvrability. J Theor Biol 47(2):333–350

    Article  Google Scholar 

  35. Shahrouzi M, Salehi A (2020) Design of large-scale structures by an enhanced metaheuristic utilizing opposition-based learning. In: 2020 4th conference on swarm intelligence and evolutionary computation (CSIEC), IEEE, pp 27–31

  36. Ahmadianfar I, Heidari AA, Gandomi AH, Chu X, Chen H (2021) RUN beyond the metaphor: An efficient optimization algorithm based on Runge Kutta method. Expert Syst Appl 181:115079

    Article  Google Scholar 

  37. Yousri D et al (2022) Modified interactive algorithm based on Runge Kutta optimizer for photovoltaic modeling: justification under partial shading and varied temperature conditions. IEEE Access 10:20793–20815

    Article  Google Scholar 

Download references

Funding

No Funding.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zheng Weifang.

Ethics declarations

Conflict of interest

The authors declare no competing of interests.

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

Weifang, Z. Predicting the Maximum Dry Density of Soil by Using the Individual and Hybrid Framework of the Decision Tree. Indian Geotech J (2023). https://doi.org/10.1007/s40098-023-00827-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s40098-023-00827-z

Keywords

Navigation