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Entropy 2017, 19(2), 66; doi:10.3390/e19020066

Discussing Landscape Compositional Scenarios Generated with Maximization of Non-Expected Utility Decision Models Based on Weighted Entropies

1
Graduate and Research Program, Universidade Nacional Timor Lorosa’e, R. Formosa, Díli, Timor-Leste
2
Centro de Ecologia Aplicada “Prof. Baeta Neves”, Instituto Superior de Agronomia, Universidade de Lisboa, InBio, Tapada da Ajuda, 1349-017 Lisboa, Portugal
*
Authors to whom correspondence should be addressed.
Academic Editor: Kevin H. Knuth
Received: 27 September 2016 / Revised: 26 January 2017 / Accepted: 6 February 2017 / Published: 10 February 2017
(This article belongs to the Special Issue Entropy in Landscape Ecology)
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Abstract

The search for hypothetical optimal solutions of landscape composition is a major issue in landscape planning and it can be outlined in a two-dimensional decision space involving economic value and landscape diversity, the latter being considered as a potential safeguard to the provision of services and externalities not accounted in the economic value. In this paper, we use decision models with different utility valuations combined with weighted entropies respectively incorporating rarity factors associated to Gini-Simpson and Shannon measures. A small example of this framework is provided and discussed for landscape compositional scenarios in the region of Nisa, Portugal. The optimal solutions relative to the different cases considered are assessed in the two-dimensional decision space using a benchmark indicator. The results indicate that the likely best combination is achieved by the solution using Shannon weighted entropy and a square root utility function, corresponding to a risk-averse behavior associated to the precautionary principle linked to safeguarding landscape diversity, anchoring for ecosystem services provision and other externalities. Further developments are suggested, mainly those relative to the hypothesis that the decision models here outlined could be used to revisit the stability-complexity debate in the field of ecological studies. View Full-Text
Keywords: decision models; non-expected utility methods; weighted Shannon entropy; weighted Gini-Simpson index; economic values; landscape diversity; precautionary approach; landscape services; system manifold decision models; non-expected utility methods; weighted Shannon entropy; weighted Gini-Simpson index; economic values; landscape diversity; precautionary approach; landscape services; system manifold
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Casquilho, J.P.; Rego, F.C. Discussing Landscape Compositional Scenarios Generated with Maximization of Non-Expected Utility Decision Models Based on Weighted Entropies. Entropy 2017, 19, 66.

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