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Trip route simulation for pre-Qin settlements based on a gradient descent and variable-neighborhood ant colony optimization algorithm in the Linfen Basin, China

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Abstract

A travel or transport path reflects the settlement pattern and the spread of civilization. Travel simulations of the pre-Qin period of the Central Plains of China can deepen our understanding of the origin and development of Chinese civilization. Here, based on the idea of swarm intelligence, an ant colony optimization algorithm based on gradient descent and variable-neighborhood search (GD-VNSACO) methods is proposed to simulate the travel routes of ancestors. We simulate the process of humans gradually exploring the surrounding space and obtaining experience and inspiration in four cultural periods from 7 to 2.7 ka B.P. (including the Yangshao Period, Miaodigou II Period, Longshan Period and Xia Shang and Zhou Period). The GD-VNSACO algorithm is suitable for studying settlement travel because of its improved search ability and convergence speed based on local and overall optimization. We conclude that in the four periods, the high-density routes of transport were concentrated along the Fen River, forming a main line from north to south. Over time, high-density areas of transport and communication among settlements, as well as the transport scope, expanded. However, there was an abnormality in the Miaodigou II Period, which was mainly caused by the climate becoming dryer and colder.

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References

  • Bell T, Wickham WA (2002) Tracking the Samnites: landscape and communications routes in the Sangro Valley, Italy. Am J Archaeol 106(2):169–186

    Article  Google Scholar 

  • Dijkstra EW (1976) A discipline of programming. Prentice Hall, Englewood Cliffs

    Google Scholar 

  • Dorigo M, Gambardella LM (1997) Ant colony system: a cooperative learning approach to the traveling salesman problem. IEEE Trans Evol Comput 1(1):53–66

    Article  Google Scholar 

  • Duncan OD (1966) Path analysis: sociological examples. Am J Sociol 72(1):1–16

    Article  Google Scholar 

  • Gao TL, Zhang DH (1980) Excavation briefing of Taosi site in Xiangfen County, Shanxi Province. Archaeology (1):18-31. In Chinese

  • Guo HB, Cao CM, Zhang TX (2012) Excavation report of Nan Xiaozhang site in Xiangfen County. Three-Jin Archeology 01:255–273 In Chinese

    Google Scholar 

  • Howey MCL (2007) Using multi-criteria cost surface analysis to explore past regional landscapes: a case study of ritual activity and social interaction in Michigan, AD 1200–1600. J Archaeol Sci 34(11):1830–1846

    Article  Google Scholar 

  • Huang CC, Pang J, Su H (2007) Climatic and anthropogenic impacts on soil formation in the semiarid loess tablelands in the middle reaches of the Yellow River, China. J Arid Environ 71(3):280–298

    Article  Google Scholar 

  • Kivinen J, Manfred KW (1997) Exponentiated gradient versus gradient descent for linear predictors. Inf Comput 132(1):1–63

    Article  Google Scholar 

  • Li J (1983) Archaeological survey of the Fen River basin in southern Shanxi. Archaeology 8:759–766 In Chinese

    Google Scholar 

  • Li ZX, Zhu C, Yuan SY et al (2015) Geographical distribution, diffusion and subsistence variation of prehis- toric cultures in Nanyang Basin, Henan Province. Acta Geograph Sin 70(1):143–156 In Chinese

    Google Scholar 

  • Liang ZM, Chang HX; Xue XM (1996) Investigation and excavation report of Dongxu site in Quwo county, Shanxi. Three-Jin Archaeology, 220–244. In Chinese

  • Liu F, Yu L, Ys N, Zhu J (2019) Spatiotemporal analysis of prehistoric settlement clustering based on terrain constraints in the Linfen area of China. Geoarchaeology 34(5):565–580

    Article  Google Scholar 

  • Groenhuijzen MR, Verhagen P (2015) Exploring the dynamics of transport in the dutch limes. Etopoi Journal for Ancient Studies Special Volume 4: 25–47

  • Mladenović N, Hansen P (1997) Variable neighborhood search. Comput Oper Res 24(11):1097–21100

    Article  Google Scholar 

  • Rivero J, Cuadra D, Calle J, Isasi P (2012) Using the ACO algorithm for path searches in social networks. Appl Intell 36(4):899–917

    Article  Google Scholar 

  • Stützle T, Hoos HH (2000) MAX–MIN Ant System. Futur Gener Comput Syst 16(8):889–914

    Article  Google Scholar 

  • Van LR et al (2015) Best travel options: Modelling Roman and early-medieval routes in the Netherlands using a multi-proxy approach. J Archaeol Sci Rep 3:144–159

    Google Scholar 

  • Wu WX, Fang Q, Ge QS (2012) Climatic changes during the Longshan period (5.5-4.0kaBP). Mar Geol Quat Geol 33(6):129–137

    Article  Google Scholar 

  • Yan ZB, He N (2005) Excavation report of the site of the Tao Tao Temple site in Shanxi in 2002. Acta Archaeol Sin (03):71–110 In Chinese

  • Yang LZ et al (1992) Investigation report of the four site in Yichen county. World Antiquity (2):16–21 In Chinese

  • Zhou L, Li Z, Shi N, Liu S, Xiong K (2019) Performance analysis of three intelligent algorithms on route selection of fishbone layout. Sustainability. 11(4):1148

    Article  Google Scholar 

  • Zhu JF, Nie YP, Gao HG et al (2017) GIS-based visibility network and defensibility model to reconstruct defensive system of the Han dynasty in Central Xinjiang, China. ISPRS Int J Geo Inf 6(8):247

    Article  Google Scholar 

Download references

Acknowledgments

The authors thank the anonymous reviewers for their valuable comments.

Funding

The paper was supported by National Key Research and Development Project of China under grant agreement No. 2020YFC1521900 and 2020YFC1521901.This paper also has received funding from the National Natural Science Foundation of China (No. 41801134).

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Contributions

Conceptualization, F.L. and L.Y.; Methodology, F.L.; Software, Y.S.; Formal Analysis, F.L.; Investigation, F.L. and L.Y.; Data Curation, Y.S.; Writing – Original Draft Preparation, F.L.; Writing – Review & Editing, J.Z. and F.L.; Visualization, F.L. and J.Z.; Project Administration, Y.N. and L.Y.; Funding Acquisition, L.Y. and J.Z.

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Correspondence to Lijun Yu.

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The authors declare no conflicts of interest.

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Communicated by: H. Babaie

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Liu, F., Yu, L., Zhu, J. et al. Trip route simulation for pre-Qin settlements based on a gradient descent and variable-neighborhood ant colony optimization algorithm in the Linfen Basin, China. Earth Sci Inform 14, 415–428 (2021). https://doi.org/10.1007/s12145-020-00556-4

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