Distance Ratio: An Exploratory Application to Compare Complex Networks

  • Nuno CaseiroEmail author
  • Paulo Trigo
Part of the Springer Proceedings in Complexity book series (SPCOM)


This paper describes an experimental application of the distance ratio measure used to compare individual networks among themselves and to analyze the aggregated network representing the group mental model from the field of emergency management.

The data was obtained by surveying a group of Civil Protection graduates and aggregating all the answers (shared mental model). The data allowed us to deepen the analysis of the resulting network in order to research for differences among networks.


Complex networks Network comparison Distance ratio Emergency management Mental models 


  1. 1.
    Butts CT (2009) Revisiting the foundations of network analysis. Science 325(5939):414–416 MathSciNetADSzbMATHCrossRefGoogle Scholar
  2. 2.
    Newman MEJ (2003) The structure and function of complex networks. SIAM Rev 45(2):167 MathSciNetADSzbMATHCrossRefGoogle Scholar
  3. 3.
    Boccaletti S, Latora V, Moreno Y, Chavez M, Hwang D (2006) Complex networks: structure and dynamics. Phys Rep 424(4–5):175–308 MathSciNetADSCrossRefGoogle Scholar
  4. 4.
    Dorogovtsev SN, Goltsev AV, Mendes JFF Critical phenomena in complex networks. Networks 1–79. doi: 10.1103/RevModPhys.80.1275
  5. 5.
    Dorogovtsev SN, Mendes JF (2001) Language as an evolving word web. Proc - Royal Soc, Biol Sci 268(1485):2603–2606 CrossRefGoogle Scholar
  6. 6.
    Rubinov M, Sporns O (2010) NeuroImage complex network measures of brain connectivity: uses and interpretations. NeuroImage 52(3):1059–1069 CrossRefGoogle Scholar
  7. 7.
    Li W, Yang J-Y (2009) Comparing networks from a data analysis perspective. Complex Sci 5:1907–1916 ADSCrossRefGoogle Scholar
  8. 8.
    Schaffernicht M, Groesser SN (2011) A comprehensive method for comparing mental models of dynamic systems. Eur J Oper Res 210(1):57–67 CrossRefGoogle Scholar
  9. 9.
    Langfield-Smith K, Wirth A (1998) Measuring differences between cognitive maps. J Oper Res Soc 43(12):1135–1150 Google Scholar
  10. 10.
    Langan-Fox J (2001) Analyzing shared and team mental models. Int J Ind Ergon 28(2):99–112 CrossRefGoogle Scholar
  11. 11.
    Schaffernicht M (2006) Detecting and monitoring change in models. Syst Dyn Rev 22(1):73–88 CrossRefGoogle Scholar
  12. 12.
    Markóczy L, Goldberg J (1995) A method for eliciting and comparing causal maps. J Manag 21(2):305 CrossRefGoogle Scholar
  13. 13.
    Muñoz GJ, Glaze RM, Winfred Arthur J, Jarrett S, McDonald JN (2011) Driving mental models as a predictor of crashes and moving violations. In: 26th annual conference of the society for industrial and organizational psychology Google Scholar
  14. 14.
    Jones NA, Ross H, Lynam T, Perez P, Leitch A (2011) Mental models: an interdisciplinary synthesis of theory and methods. Ecol Soc 16(1).
  15. 15.
    Carley KM, Palmquist M (1992) Extracting, representing, and analysing mental models. Soc Forces 70(3):601–636 Google Scholar
  16. 16.
    Kim MK (2012) Cross-validation study of methods and technologies to assess mental models in a complex problem solving situation. Comput Hum Behav 28(2):703–717 CrossRefGoogle Scholar
  17. 17.
    Sayama H, Farrell DL, Dionne SD (2010) The effects of mental model formation on group decision making: an agent-based simulation. Complexity 16(3):49–57 CrossRefGoogle Scholar
  18. 18.
    Kai Y, Qingquan W, Lili R (2008) Emergency Ontology construction in emergency decision support system. In: IEEE international conference on service operations and logistics, and informatics, vol 1, pp 801–805 CrossRefGoogle Scholar
  19. 19.
    Alexander D (2002) Principles of emergency planning and management. Oxford University Press, London, p 340 Google Scholar
  20. 20.
    Griffin BD (2009) Emergency management terms and concepts. High Educ 1–8 Google Scholar

Copyright information

© Springer International Publishing Switzerland 2013

Authors and Affiliations

  1. 1.Instituto Politécnico de Castelo Branco, Instituto Universitário de Lisboa—ISCTELabMAgLisbonPortugal
  2. 2.Instituto Superior de Engenharia de LisboaLabMAgLisbonPortugal

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