A Mathematical Model of Humanitarian Aid Agencies in Attritional Conflict Environments

Published Online:https://doi.org/10.1287/opre.2021.2130

References

  • Armstrong MJ (2005) A stochastic salvo model for naval surface combat. Oper. Res. 53(5):830–841.LinkGoogle Scholar
  • Atkinson MP, Gutfraind A, Kress M (2012) When do armed revolts succeed: Lessons from Lanchester theory. J. Oper. Res. Soc. 63(10):1363–1373.CrossrefGoogle Scholar
  • Australian Agency for International Development (2011) Humanitarian Action Policy (Commonwealth of Australia, Canberra).Google Scholar
  • Berlow EL, Neutel AM, Cohen JE, De Ruiter PC, Ebenman B, Emmerson M, Fox JW, et al. (2004) Interaction strengths in food webs: Issues and opportunities. J. Animal Ecology 73(3):585–598.CrossrefGoogle Scholar
  • Bird SM, Fairweather CB (2007) Military fatality rates (by cause) in Afghanistan and Iraq: a measure of hostilities. Internat. J. Epidemiology 36(4):841–846.CrossrefGoogle Scholar
  • Brauer F, Castillo-Chavez C, Castillo-Chavez C (2001) Mathematical Models in Population Biology and Epidemiology, vol. 40 (Springer).CrossrefGoogle Scholar
  • Brose U (2008) Complex food webs prevent competitive exclusion among producer species. Proc. Roy. Soc. B: Biological Sci. 275(1650):2507–2514.Google Scholar
  • Cordesman AH (2018) Losing by “winning”: America’s wars in Afghanistan, Iraq, and Syria. Accessed June 17, 2019, https://www.csis.org/analysis/losing-winning-americas-wars-afghanistan-iraq-and-syria.Google Scholar
  • Cropp J (2019) The humanitarian fix: An ethnography of civilian protection in contemporary wars. Unpublished PhD thesis, University of Melbourne, Australia.Google Scholar
  • Deitchman SJ (1962) A Lanchester model of guerrilla warfare. Oper. Res. 10(6):818–827.LinkGoogle Scholar
  • Drapeau M, Hurley P, Armstrong R (2008) So many zebras, so little time: Ecological models and counterinsurgency operations. Defense Horizons 62:1–8.Google Scholar
  • Dunne JA, Williams RJ (2009) Cascading extinctions and community collapse in model food webs. Philos. Trans. Roy. Soc. B: Biological Sci. 364(1524):1711–1723.CrossrefGoogle Scholar
  • Ermentrout B (2002) Simulating, Analyzing, and Animating Dynamical Systems: A Guide to XPPAUT for Researchers and Students, vol. 14 (SIAM).CrossrefGoogle Scholar
  • Fontaine C, Guimarães PR Jr, Kéfi S, Loeuille N, Memmott J, van Der Putten WH, van Veen FJ, Thébault E (2011) The ecological and evolutionary implications of merging different types of networks. Ecology Lett. 14(11):1170–1181.CrossrefGoogle Scholar
  • Gordon N, Perugini N (2019) “Hospital shields” and the limits of international law. Eur. J. Internat. Law. 30(2):439–463.CrossrefGoogle Scholar
  • Green KL (2011) Complex Adaptive Systems in Military Analysis (Institute for Defense Analysis, Alexandria, VA).Google Scholar
  • Gross K (2008) Positive interactions among competitors can produce species-rich communities. Ecology Lett. 11(9):929–936.CrossrefGoogle Scholar
  • Grubbs FE, Shuford JH (1973) A new formulation of Lanchester combat theory. Oper. Res. 21(4):926–941.LinkGoogle Scholar
  • Holling CS (1959) Some characteristics of simple types of predation and parasitism. Canadian Entomologist 91(7):385–398.CrossrefGoogle Scholar
  • Hughes WP (1995) A salvo model of warships in missile combat used to evaluate their staying power. Naval Res. Logist. 42(2):267–289.CrossrefGoogle Scholar
  • Hung CY, Yang GK, Deng PS, Tang T, Lan SP, Chu P (2005) Fitting Lanchester’s square law to the Ardennes campaign. J. Oper. Res. Soc. 56(8):942–946.CrossrefGoogle Scholar
  • Hutchinson MC, Bramon Mora B, Pilosof S, Barner AK, Kéfi S, Thébault E, Jordano P, Stouffer DB (2019) Seeing the forest for the trees: Putting multilayer networks to work for community ecology. Functional Ecology 33(2):206–217.CrossrefGoogle Scholar
  • Intriligator MD, Brito DL (1988) A predator-prey model of guerrilla warfare. Synthese 76(2):235–244.CrossrefGoogle Scholar
  • Jackson A, Giustozzi A (2012) Talking to the other side: Humanitarian engagement with the Taliban in Afghanistan. Humanitarian Policy Group Paper, Overseas Development Institute, London.Google Scholar
  • Kalloniatis AC, Hoek K, Zuparic M, Brede M (2020a) Optimising structure in a networked Lanchester model for fires and manoeuvre in warfare. J. Oper. Res. Soc. 1–16.CrossrefGoogle Scholar
  • Kalloniatis AC, McLennan-Smith TA, Roberts DO (2020b) Modelling distributed decision-making in command and control using stochastic network synchronisation. Eur. J. Oper. Res. 284(2):588–603.CrossrefGoogle Scholar
  • Kéfi S, Miele V, Wieters EA, Navarrete SA, Berlow EL (2016) How structured is the entangled bank? The surprisingly simple organization of multiplex ecological networks leads to increased persistence and resilience. PLoS Biology 14(8):e1002527.CrossrefGoogle Scholar
  • Kéfi S, Berlow EL, Wieters EA, Navarrete SA, Petchey OL, Wood SA, Boit A, et al. (2012) More than a meal…integrating non-feeding interactions into food webs. Ecology Lett. 15(4):291–300.CrossrefGoogle Scholar
  • Kilcullen D (2020) Dragons and the Snakes: How the Rest Learned to Fight the West (Scribe).CrossrefGoogle Scholar
  • Kimbleton SR (1971) Attrition rates for weapons with Markov-dependent fire. Oper. Res. 19(3):698–706.LinkGoogle Scholar
  • Kress M, Szechtman R (2009) Why defeating insurgencies is hard: The effect of intelligence in counterinsurgency operations—A best-case scenario. Oper. Res. 57(3):578–585.LinkGoogle Scholar
  • Kress M, Lin KY, MacKay NJ (2018) The attrition dynamics of multilateral war. Oper. Res. 66(4):950–956.LinkGoogle Scholar
  • Lanchester FW (1916) Aircraft in Warfare: The Dawn of the Fourth Arm (Constable & Co, London).Google Scholar
  • Lewis DA, Modirzadeh NK, Blum G (2015) Medical care in armed conflict: International humanitarian law and state responses to terrorism. Preprint, submitted September 8, https://ssrn.com/abstract=2657036.Google Scholar
  • Lin KY, MacKay NJ (2014) The optimal policy for the one-against-many heterogeneous Lanchester model. Oper. Res. Lett. 42(6–7):473–477.CrossrefGoogle Scholar
  • Lucas TW, Turkes T (2004) Fitting Lanchester equations to the battles of Kursk and Ardennes. Naval Res. Logist. 51(1):95–116.CrossrefGoogle Scholar
  • MacKay NJ (2015) When Lanchester met Richardson, the outcome was stalemate: A parable for mathematical models of insurgency. J. Oper. Res. Soc. 66(2):191–201.CrossrefGoogle Scholar
  • Melián CJ, Bascompte J, Jordano P, Krivan V (2009) Diversity in a complex ecological network with two interaction types. Oikos 118(1):122–130.CrossrefGoogle Scholar
  • Metz S (2004) Insurgency and Counterinsurgency in the 21st Century: Reconceptualizing Threat and Response (DIANE Publishing).Google Scholar
  • Mougi A, Kondoh M (2012) Diversity of interaction types and ecological community stability. Sci. 337(6092):349–351.CrossrefGoogle Scholar
  • Navarrete SA, Castilla JC (1990) Resource partitioning between intertidal predatory crabs: Interference and refuge utilization. J. Experiment. Marine. Biology Ecology 143(1–2):101–129.CrossrefGoogle Scholar
  • Office for the Coordination of Humanitarian Affairs (2007) Guidelines on the Use of Foreign Military and Civil Defence Assets in Disaster Relief (United Nations).Google Scholar
  • Pilosof S, Porter MA, Pascual M, Kéfi S (2017) The multilayer nature of ecological networks. Nature Ecology Evolution 1(4):0101.CrossrefGoogle Scholar
  • Sagarin RD, Sagarin R, Taylor T (2008) Natural Security: A Darwinian Approach to a Dangerous World (University of California Press).Google Scholar
  • Sassoli M, Bouvier AA, Quintin A (2011) How Does Law Protect in War? (International Committee of the Red Cross).Google Scholar
  • Schaffer MB (1968) Lanchester models of guerrilla engagements. Oper. Res. 16(3):457–488.LinkGoogle Scholar
  • Syms R, Solymar L (2015) A dynamic competition model of regime change. J. Oper. Res. Soc. 66(11):1939–1947.CrossrefGoogle Scholar
  • Taylor JG (1977) Determining the class of payoffs that yield force-level-independent optimal fire-support strategies. Oper. Res. 25(3):506–516.LinkGoogle Scholar
  • Taylor JG (1979) Optimal commitment of forces in some Lanchester-type combat models. Oper. Res. 27(1):96–114.LinkGoogle Scholar
  • Taylor JG (1983) Lanchester Models of Warfare (2 vols.) (Operations Research Society of America, Military Applications Section: Arlington, VA).Google Scholar
  • Taylor JG, Brown GG (1976) Canonical methods in the solution of variable-coefficient Lanchester-type equations of modern warfare. Oper. Res. 24(1):44–69.LinkGoogle Scholar
  • Taylor JG, Parry SH (1975) Force-ratio considerations for some Lanchester-type models of warfare. Oper. Res. 23(3):522–533.LinkGoogle Scholar
  • Williamson JA (2011) Using humanitarian aid to “win hearts and minds”: A costly failure? Internat. Rev. Red Cross 93(884):1035–1061.CrossrefGoogle Scholar
  • Yodzis P, Innes S (1992) Body size and consumer-resource dynamics. Amer. Naturalist 139(6):1151–1175.CrossrefGoogle Scholar
  • Zuparic M, Shelyag S, Angelova M, Zhu Y, Kalloniatis AC (2021) Modelling host population support for combat adversaries. J. Oper. Res. Soc. Forthcoming.Google Scholar
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