Abstract
This paper aims to understand to what extent the amount of drug (e.g., cocaine) trafficking per country can be explained and predicted using the global shipping network. We propose three distinct network approaches, based on topological centrality metrics, Susceptible-Infected-Susceptible spreading process and a flow optimization model of drug trafficking on the shipping network, respectively. These approaches derive centrality metrics, infection probability, and inflow of drug traffic per country respectively, to estimate the amount of drug trafficking. We use the amount of drug seizure as an approximation of the amount of drug trafficking per country to evaluate our methods. Specifically, we investigate to what extent different methods could predict the ranking of countries in drug seizure (amount). Furthermore, these three approaches are integrated by a linear regression method in which we combine the nodal properties derived by each method to build a comprehensive model for the cocaine seizure data. Our analysis finds that the unweighted eigenvector centrality metric combined with the inflow derived by the flow optimization method best identifies the countries with a large amount of drug seizure (e.g., rank correlation 0.45 with the drug seizure). Extending this regression model with two extra features, the distance of a country from the source of cocaine production and a country’s income group, increases further the prediction quality (e.g., rank correlation 0.79). This final model provides insights into network derived properties and complementary country features that are explanatory for the amount of cocaine seized. The model can also be used to identify countries that have no drug seizure data but are possibly susceptible to cocaine trafficking.
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When drug seizure and the nodal property are supposed to be negatively correlated.
References
Li, C., Li, Q., Van Mieghem, P., Eugene Stanley, H., Wang, H.: Correlation between centrality metrics and their application to the opinion model. Euro. Phys. J. B 88(3), 1–13 (2015)
Lü, L., Chen, D., Ren, X.-L., Zhang, Q.-M., Zhang, Y.-C., Zhou, T.: Vital nodes identification in complex networks. Phys. Rep. 650, 1–63 (2016)
Pastor-Satorras, R., Vespignani, A.: Immunization of complex networks. Phys. Rev. E 65(3), 036104 (2002)
Kitsak, M., Gallos, L.K., Havlin, S., Liljeros, F., Muchnik, L., Eugene Stanley, H., Makse, H.A.: Identification of influential spreaders in complex networks. Nat. Phys. 6(11), 888–893 (2010)
Borge-Holthoefer, J., Moreno, Y.: Absence of influential spreaders in rumor dynamics. Phys. Rev. E 85(2), 026116 (2012)
Pastor-Satorras, R., Castellano, C., Van Mieghem, P., Vespignani, A.: Epidemic processes in complex networks. Rev. Mod. Phys. 87(3), 925 (2015)
Kiss, I.Z., Miller, J.C., Simon, P.L., et al.: Mathematics of Epidemics on Networks, p. 598. Springer, Cham (2017)
Zhang, S., Zhao, X., Wang, H.: Mitigate sir epidemic spreading via contact blocking in temporal networks. Appl. Netw. Sci. 7(1), 1–22 (2022)
Kaluza, P., Kölzsch, A., Gastner, M.T., Blasius, B.: The complex network of global cargo ship movements. J. R. Soc. Interface 7(48), 1093–1103 (2010)
Pan, J.-J., Bell, M.G.H., Cheung, K.-F., Perera, S., Yu, H.: Connectivity analysis of the global shipping network by eigenvalue decomposition. Maritime Policy Manage. 46(8), 957–966 (2019)
Li, Z., Mengqiao, X., Shi, Y.: Centrality in global shipping network basing on worldwide shipping areas. GeoJournal 80(1), 47–60 (2015)
Xu, M., Pan, Q., Muscoloni, A., Xia, H., Cannistraci, C.V.: Modular gateway-ness connectivity and structural core organization in maritime network science. Nat. Commun. 11(1), 1–15 (2020)
Xu, J., Wickramarathne, T.L., Chawla, N.V., Grey, E.K., Steinhaeuser, K., Keller, R.P., Drake, J.M., Lodge, D.M.: Improving management of aquatic invasions by integrating shipping network, ecological, and environmental data: data mining for social good. In: Proceedings of the 20th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 1699–1708 (2014)
Saebi, M., Xu, J., Grey, E.K., Lodge, D.M., Corbett, J.J., Chawla, N.: Higher-order patterns of aquatic species spread through the global shipping network. Plos One 15(7), e0220353 (2020)
UNODC: Annual Drug Seizure Report. https://dataunodc.un.org/drugs/seizures, 2012–2016. Online. Accessed 20 Mar 2022
Kojaku, S., Mengqiao, X., Xia, H., Masuda, N.: Multiscale core-periphery structure in a global liner shipping network. Sci. Rep. 9(1), 1–15 (2019)
Xu, M.: Resource. http://www.mengqiaoxu.com/resource.html, 2019. Online. Accessed 28 Mar 2022
Marine Traffic. Ports Database. https://www.marinetraffic.com/en/data/, 2022. Online. Accessed 28 Mar 2022
Anthonisse, J.M.: The rush in a directed graph. In: Stichting Mathematisch Centrum. Mathematische Besliskunde, (BN 9/71) (1971)
Wang, H., Hernandez, J.M., Van Mieghem, P.: Betweenness centrality in a weighted network. Phys. Rev. E 77(4), 046105 (2008)
Ceria, A., Köstler, K., Gobardhan, R., Wang, H.: Modeling airport congestion contagion by heterogeneous sis epidemic spreading on airline networks. Plos One 16(1), e0245043 (2021)
Van Mieghem, P., Omic, J., Kooij, R.: Virus spread in networks. IEEE/ACM Trans. Netw. 17(1), 1–14 (2008)
Bo, Q., Li, C., Van Mieghem, P., Wang, H.: Ranking of nodal infection probability in susceptible-infected-susceptible epidemic. Sci. Rep. 7, 9233 (2017)
Van Mieghem, P.: Performance Analysis of Complex Networks and Systems. Cambridge University Press (2014)
Boivin, R.: Drug trafficking networks in the world-economy. Crime Netw. (2013)
UNODC and EUROPOL. The illicit trade of cocaine from latin america to europe—from oligopolies to freefor-all. Cocaine Insights 1, Sept 2021
UNODC. Statistical Annex: 6.1.3 Cocaine manufacture. https://www.unodc.org/unodc/en/data-and-analysis/wdr2021_annex.html, 2019. Online. Accessed 20 Mar 2022
UNODC. Statistical Annex: 1.2 Prevalence of drug use in the general population, including NPS—national data. https://www.unodc.org/unodc/en/data-and-analysis/wdr2021_annex.html, 2019. Online. Accessed 20 Mar 2022
Geo Data Source. Country Borders. https://www.geodatasource.com/addon/country-borders, 2022. Online. Accessed 20 Mar 2022
The World Bank. World Development Indicators. https://data.worldbank.org/indicator, 2020. Online. Accessed 03 May 2022
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Leibbrandt, L. et al. (2023). Drug Trafficking in Relation to Global Shipping Network. In: Cherifi, H., Mantegna, R.N., Rocha, L.M., Cherifi, C., Micciche, S. (eds) Complex Networks and Their Applications XI. COMPLEX NETWORKS 2016 2022. Studies in Computational Intelligence, vol 1078. Springer, Cham. https://doi.org/10.1007/978-3-031-21131-7_52
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