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Math and StatisticsNumerical Mathematics

Dynamic Red Queen Explains Patterns in Fatal Insurgent Attacks

Authors: Neil Johnson; Spencer Carran; Joel Botner; Kyle Fontaine; Nathan Laxague; Philip Nuetzel; Jessica Turnley; Brian Tivnan; MITRE CORP MCLEAN VA
Abstract:
The Red Queen's notion. "It takes all the running you can do, to keep in the same place" has been applied within evolutionary biology, politics and economics. We find that a generalized version in which an adaptive Red Queen (e.g. insurgency) sporadically edges ahead of a Blue King (e.g. military), explains the progress curves for fatal insurgent attacks against the coalition military within individual provinces in Afghanistan and Iraq. Remarkably regular mathematical relations emerge which suggest a prediction tau eta = tau Iota Eta -[m log 10 tau lota +c] for the timing of the eta' th future fatal day, and provide a common framework for understanding how insurgents fight in different regions. Our findings are consistent with a Darwinian selection hypothesis which favors a weak species which can adapt rapidly, and establish an unexpected conceptual connection to Physics through correlated walks.

Limitations: APPROVED FOR PUBLIC RELEASE
Pages: 26
Report Date: MAR 2011
Report Number: A680845
Keywords relating to this report:
ADAPTIVE SYSTEMS
AFGHANISTAN
CASUALTIES
COUNTERINSURGENCY
INSURGENCY
IRAQ
MATHEMATICAL ANALYSIS
POLITICAL SCIENCE
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