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Note on LMC complexity measure

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  • Piqueira, José Roberto C.
  • de Mattos, Sérgio Henrique V.L.

Abstract

The measure presented by López-Ruiz, Mancini and Calbert (LMC) (López-Ruiz et al., 1995) has been used in several contexts to express system complexity. The main advantage of this approach is the ability to change the weights attributed to the order and disorder measures when composing the whole complexity factor for different applications. Here, several behaviors of the LMC measure are presented regarding system disorder, expressed by using the Boltzmann–Gibbs–Shannon (BGS) entropy. It is shown that the Γ1k function is adequate to measure ecological complexity and, varying k, it can be concluded that Γ11 simplifies the calculations, capturing the complex aspects of the ecological phenomena.

Suggested Citation

  • Piqueira, José Roberto C. & de Mattos, Sérgio Henrique V.L., 2011. "Note on LMC complexity measure," Ecological Modelling, Elsevier, vol. 222(19), pages 3603-3604.
    • Handle: RePEc:eee:ecomod:v:222:y:2011:i:19:p:3603-3604
    DOI: 10.1016/j.ecolmodel.2011.08.012
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    References listed on IDEAS

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    1. Piqueira, J.R.C. & de Mattos, S.H.V.L. & Vasconcelos-Neto, J., 2009. "Measuring complexity in three-trophic level systems," Ecological Modelling, Elsevier, vol. 220(3), pages 266-271.
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    Cited by:

    1. Piqueira, José Roberto C. & de Lima, Vera Maura Fernandes & Batistela, Cristiane M., 2014. "Complexity measures and self-similarity on spreading depression waves," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 401(C), pages 271-277.
    2. Piqueira, José Roberto C. & Campbell-Borges, Yuri Cássio, 2013. "Extending SDL and LMC complexity measures to quantum states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(20), pages 5255-5259.

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      Keywords

      Complexity; Disorder; Entropy; Order;
      All these keywords.

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