journal article·2026-04-09Open access

Machine-learning-based reconstruction of Ming-dynasty defensive corridors in Yuxian

Peiyuan Zhao, Qing Xue, Han Qin, Ming Zhao, Rong Yan, Kun Yuan

npj Heritage Science· Volume 14· Issue 1

Abstract

During the Ming Dynasty, Yuxian occupied a strategic position on the southern edge of the Xuan-Frontier Towns, linking Great Wall outposts with the Shanxi-Hebei hinterland and concentrating passes, forts, and military farms. Understanding its role within Nine Frontier Defense Garrisons clarifies the spatial organization of fortress settlements. This study proposes a methodological framework that integrates the Minimum Cumulative Resistance (MCR) model with machine learning to predict defense corridors. By constructing resistance surfaces based on the nonlinear location preferences of military defense ruins, multi-tiered defense corridors were identified. Results indicate that line-of-sight density and settlement density dominate corridor orientation. The reconstructed system exhibits peripheral corridors along the Great Wall and passes, as well as in-depth corridors toward hinterland fortress settlements, and shows strong coupling with reconstructed post road networks. This study provides quantitative evidence for reconstructing Yuxian’s Ming defense system and offers a transferable model for Great Wall defense analysis.
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OpenAlex topics: Urban Design and Spatial Analysis · Archaeological Research and Protection · Land Use and Ecosystem Services

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References (50)

Show source-provided references
1. Yan, R. & Zhao, M. Analysis on site determination and spatial layout of ancient fortress-villages in Yu County, Hebei Province, China. Int. J. Sustain Dev. World Ecol 27, 284–292 (2020).10.1080/13504509.2020.1729273 ↗
2. Yuan, L., Li, Z., Wang, Y., Hao, Z. & Yu, C. Interactions between the Ming Yansui Great Wall heritage and geographical environment via Monte Carlo simulation. npj Herit. Sci. 13, 260, https://doi.org/10.1038/s40494-025-01816-6 (2025).10.1038/s40494-025-01816-6 ↗
3. Cao, Y. & Zhang, Y. The fractal structure of the Ming Great Wall Military Defense System: a revised horizon over the relationship between the Great Wall and the military defense settlements. J. Cult. Herit. 33, 159–169, https://doi.org/10.1016/j.culher.2018.03.010 (2018).10.1016/j.culher.2018.03.010 ↗
4. Shang, H., Cheng, C. & Guan, Q. Mingqing yilai Yuxian zhuangbao simiao diaocha yu yanjiu [Survey and research on fortress villages and temples in Yu County since the Ming-Qing period] (Shanghai Guji Press, 2023). [in Chinese]
5. Yan, R. A study of the spatial forms of traditional fortress settlements in Yu County, Hebei Province. PhD thesis, Beijing Forestry Univ. (2023). [in Chinese]
6. Zhao, X. Ming changcheng shidai de kaishi: Changcheng shehui shi shiye xia Yulin changcheng xiujian yanjiu [The beginning of the Ming Great Wall era: a study of the construction of the Yulin Great Wall from the perspective of Great Wall social history] (Lanzhou Univ. Press, 2014). [in Chinese]
7. Huang, Y. et al. Spatial evolution of traditional waterside settlements south of the Yangtze River and the distribution of settlement heritage: evidence from the Nanxi River Basin. npj Herit. Sci. 13, 62 (2025).10.1038/s40494-025-01649-3 ↗
8. Huang, Y. et al. Interpretation of the Jiangnan landscape and countryside (Shan-shui) pattern: evidence from the classification and spatial form of traditional settlements in the Nanxi River Basin. Buildings 15, 413 (2025).10.3390/buildings15030413 ↗
9. Zhou, J., He, J., Tan, L. & Yan, S. Integrity protection of the Chang Zhen Great Wall heritage corridor based on minimum cumulative resistance. Herit. Sci. 13, 479, https://doi.org/10.1038/s40494-025-02044-8 (2025).10.1038/s40494-025-02044-8 ↗
10. Lin, F., Zhang, X., Ma, Z. & Zhang, Y. Spatial structure and corridor construction of intangible cultural heritage: a case study of the Ming Great Wall. Land 11, 1478, https://doi.org/10.3390/land11091478 (2022).10.3390/land11091478 ↗
11. Danese, M., Masini, N., Biscione, M. & Lasaponara, R. Predictive modeling for preventive archaeology: overview and case study. Cent. Eur. J. Geosci. 6, 42–55, https://doi.org/10.2478/s13533-012-0160-5 (2014).10.2478/s13533-012-0160-5 ↗
12. Carrer, F. An ethnoarchaeological inductive model for predicting archaeological site location: a case-study of pastoral settlement patterns in the Val di Fiemme and Val di Sole (Trentino, Italian Alps). J. Anthropol. Archaeol. 32, 54–62, https://doi.org/10.1016/j.jaa.2012.10.001 (2013).10.1016/j.jaa.2012.10.001 ↗
13. Zhu, J., Nie, Y., Gao, H., Liu, F. & Yu, L. 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, 247, https://doi.org/10.3390/ijgi6080247 (2017).10.3390/ijgi6080247 ↗
14. Luan, S., Li, Y. & Ma, X. Defense layout characteristics of Tang dynasty military sites in Aksu prefecture of China. npj Herit. Sci. 13, 125, https://doi.org/10.1038/s40494-025-01684-0 (2025).10.1038/s40494-025-01684-0 ↗
15. Menze, B. H. & Ur, J. A. Mapping patterns of long-term settlement in Northern Mesopotamia at a large scale. Proc. Natl. Acad. Sci. USA 109, E778–E787, https://doi.org/10.1073/pnas.1115472109 (2012).10.1073/pnas.1115472109 ↗
16. Castiello, M. E. & Tonini, M. An explorative application of random forest algorithm for archaeological predictive modeling: a Swiss case study. J. Comput. Appl. Archaeol. 4, 110–125, https://doi.org/10.5334/jcaa.71 (2021).10.5334/jcaa.71 ↗
17. Sun, D. et al. Ecological security pattern based on XGBoost-MCR model: a case study of the Three Gorges Reservoir Region. J. Clean. Prod. 470, 143252. https://doi.org/10.1016/j.jclepro.2024.143252 (2024).10.1016/j.jclepro.2024.143252 ↗
18. Zhao, X. H. A study of the military town system of the Nine Frontiers in the Ming dynasty [Doctoral dissertation]. Northeast Normal University: Changchun, 2005).
19. Geospatial Data Cloud [Internet]. Beijing: Chinese Academy of Sciences; [cited 2025 Nov 7]. Available from: http://www.gscloud.cn/.
20. Tan, Q. Zhongguo lishi dituji, Vol. 7: Yuan, Ming shiqi [Historical atlas of China, Vol. 7: Yuan and Ming periods] (Ditu Chubanshe, 1982). [in Chinese]
21. CHGIS. China Historical GIS, Version 6. Cambridge: Harvard Yenching Institute; Shanghai: Fudan University Center for Historical Geography. Available online: https://verse.harvard.edu/dataverse/chgis (2016).
22. China Great Wall Heritage Network [Internet]. Beijing: Chinese Academy of Cultural Heritage; c2016–2025 [cited 2025 Nov 7]. Available from: http://www.greatwallheritage.cn/.
23. Guo, L. (ed.) Guangling Xianzhi 廣靈縣志 (Gazetteer of Guangling County) 1754, Zhongguo Fangzhi Congshu (Cheng Wen Publishing House, 1968).
24. Yue, H. (ed.) Lingqiu Xianzhi 靈丘縣志 (Gazetteer of Lingqiu County) 1684, Zhongguo Difangzhi Jicheng (Phoenix Publishing House, 2005).
25. Wang Y. (ed.) Yuxian Zhi 蔚縣志 (Gazetteer of Yu County) 1739, Zhongguo Fangzhi Congshu (Cheng Wen Publishing House, 1968).
26. Zhao Y. (eds). Guangchang Xianzhi 廣昌縣志 (Gazetteer of Guangchang County) 1760, Gugong Zhenben Congkan (Hainan Publishing House, 2001).
27. International Organization for Standardization. ISO 19157:2013 Geographic information — Data quality (ISO, 2013).
28. Zhang, T. Y. et al. (ed.) Ming shi 明史 (History of the Ming dynasty) 1735, (Zhong Hua Book Company, 2005).
29. Scott, J. Social network analysis: a handbook, 3rd edn. (Sage Publications, 2012).
30. Wasserman, S. & Faust, K. Social network analysis: methods and applications (Cambridge University Press, 1994).10.1017/CBO9780511815478 ↗
31. Earley-Spadoni, T. Landscapes of warfare: intervisibility analysis of Early Iron and Urartian fire beacon stations (Armenia). J. Archaeol. Sci. Rep. 3, 22–30, https://doi.org/10.1016/j.jasrep.2015.05.008 (2015).10.1016/j.jasrep.2015.05.008 ↗
32. Cao, Y., Zhang, Y. & Zhang, H. Road restoration based on GIS for the Ming Dynasty Great Wall military atlases: a case study of Datong Garrison. J. Hebei Agric Univ. 37, 138–144, https://doi.org/10.13320/j.cnki.jauh.2014.0053 (2014).10.13320/j.cnki.jauh.2014.0053 ↗
33. De Reu, J. et al. Measuring the relative topographic position of archaeological sites in the landscape: a case study on the Bronze Age barrows in northwest Belgium. J. Archaeol. Sci. 38, 3435–3446, https://doi.org/10.1016/j.jas.2011.08.005 (2011).10.1016/j.jas.2011.08.005 ↗
34. Siart, C., Eitel, B. & Panagiotopoulos, D. Investigation of past archaeological landscapes using remote sensing and GIS: a multi-method case study from Mount Ida, Crete. J. Archaeol. Sci. 35, 2918–2926, https://doi.org/10.1016/j.jas.2008.06.013 (2008).10.1016/j.jas.2008.06.013 ↗
35. Marsh, E. J. & Schreiber, K. Eyes of the empire: a viewshed-based exploration of Wari site-placement decisions in the Sondondo Valley, Peru. J. Archaeol. Sci. Rep. 4, 54–64, https://doi.org/10.1016/j.jasrep.2015.08.014 (2015).10.1016/j.jasrep.2015.08.014 ↗
36. Dormann, C. F. et al. Collinearity: a review of methods to deal with it and a simulation study evaluating their performance. Ecography 36, 27–46, https://doi.org/10.1111/j.1600-0587.2012.07348 (2013).10.1111/j.1600-0587.2012.07348 ↗
37. Zuur, A. F., Ieno, E. N. & Elphick, C. S. A protocol for data exploration to avoid common statistical problems. Methods Ecol. Evol. 1, 3–14, https://doi.org/10.1111/j.2041-210X.2009.00001.x (2010).10.1111/j.2041-210X.2009.00001.x ↗
38. O’Brien, R. M. A caution regarding rules of thumb for variance inflation factors. Qual. Quant. 41, 673–690, https://doi.org/10.1007/s11135-006-9018-6 (2007).10.1007/s11135-006-9018-6 ↗
39. Hemphill, J. F. Interpreting the magnitudes of correlation coefficients. Am. Psychol. 58, 78–79, https://doi.org/10.1037/0003-066X.58.1.78 (2003).10.1037/0003-066X.58.1.78 ↗
40. Gu, Z., Shi, H. (ed.) Du Shi Fang Yu Ji Yao 讀史方輿紀要 (Essentials of Reading History and Geography), (Zhong Hua Book Company, 2005).
41. Yu, C. (ed.) Ji Fu Tong Zhi 畿輔通志 (Gazetteer of the Metropolitan Region) 1885, Jingjinji Jifu Wenxian Congkan (Beijing Yanshan Publishing House, 2019).
42. Liu, R. (ed.) Guangchang Xianzhi 廣昌縣志 (Gazetteer of Guangchang County) 1875, Zhongguo Fangzhi Congshu (Cheng Wen Publishing House, 1968).
43. Lundberg, S. M. & Lee, S. I. A unified approach to interpreting model predictions. Adv. Neural Inf. Process. Syst. 30, 4765–4774 (2017).
44. Shapley L. S. A value for n-person games. in Contributions to the Theory of Games (eds Kuhn H. W., Tucker A. W.) (Princeton University Press, 1953).10.1515/9781400881970-018 ↗
45. Lundberg, S. M. et al. From local explanations to global understanding with explainable AI for trees. Nat. Mach. Intell. 2, 56–67, https://doi.org/10.1038/s42256-019-0138-9 (2020).10.1038/s42256-019-0138-9 ↗
46. Liu, Y. & Ma, X. Heritage corridor construction in the Sui–Tang Grand Canal’s Henan section based on the minimum cumulative resistance (MCR) model. Land 14, 2128, https://doi.org/10.3390/land14112128 (2025).10.3390/land14112128 ↗
47. Zhang, F. et al. Recreational spatial scope and level of the grand canal cultural belt. Area. Res. Dev 38, 80–84 (2019).
48. Tan, L. et al. Influence of environmental factors on the site selection and layout of ancient military towns (Zhejiang Region). Sustainability 14, 2572, https://doi.org/10.3390/su14052572 (2022).10.3390/su14052572 ↗
49. Li, X. et al. Research on the construction of intangible cultural heritage corridors in the Yellow River Basin based on geographic information system (GIS) technology and the minimum cumulative resistance (MCR) model. Herit. Sci. 12, 271, https://doi.org/10.1186/s40494-024-01387-y (2024).10.1186/s40494-024-01387-y ↗
50. Jiang, B. et al. The distribution pattern and spatial morphological characteristics of military settlements along the Ming Great Wall in the Hexi Corridor Region. Buildings 15, 1136, https://doi.org/10.3390/buildings15071136 (2025).10.3390/buildings15071136 ↗