Complex Analysis of Combat in Afghanistan

Abstract

Detrended fluctuation analysis (DFA), a modern technique for examination of complex systems, was applied to combat related data in Afghanistan for the epoch 2002-2009. To detect long-term correlations in the presence of trends, we apply DFA that is able to systematically detect and overcome nonstationarities in the data at all timescales. The objective was to determine whether the nature of combat in Afghanistan, as observed by NATO forces, is fractal in its statistical nature. In every instance we found strong power law correlations in the data, and were able to extract accurate scaling exponents. On the other hand, a decrease in hostilities is likely to persist from one day to the next. We find a measure of predictability inherent in the dynamics of the combat system - there is a history or memory in the signal so that the future dynamics are not random but correlated with past events. This is seen most strongly for Att and d events, and only weakly for is and id events.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 2014
Accession Number
AD1003619

Entities

People

  • James Wanliss

Organizations

  • Presbyterian College

Tags

Communities of Interest

  • Energy and Power Technologies
  • Human Systems
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Afghanistan
  • Brownian Motion
  • Central Nervous System
  • Complex Systems
  • Computer Science
  • Data Sets
  • Detection
  • Explosive Devices
  • Frequency
  • Geometry
  • Nervous System
  • Numerical Analysis
  • Polynomials
  • Power Spectra
  • Probability
  • Random Walk
  • Warfare

Fields of Study

  • Physics

Readers

  • Military and Counterinsurgency Studies.
  • Theoretical Analysis.
  • Wave Propagation and Nonlinear Chaotic Dynamics.