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International Conference on Complex Systems (ICCS2006)

A Methodological guide to environmental prioritizing using hyperbolic laws and strategical ecosystems

Javier Burgos
Instituto de Estudios Ambientales, Universidad Nacional de c

Julia Andrea Pérez
Instituto de Estudios Ambientales - Universidad Nacional

     Full text: Not available
     Last modified: April 25, 2006

Modern environmental management programs require, as an initial step, the application of some procedures in order to prioritize among all the elements of the natural system considered. Several methods are currently employed, like those based on the concepts of “Hots spots”, “Megadiversity areas”, “Maximun Priority Areas”, “Strategical Ecosystems” and “Principal Ecological Structure”. All these methods posses in common the idea that, of the number of components of a ecosystem, a few of them play a more important role than the others. But it is important to note that all these methods are commonly supported on a strong subjectivity component, which means that the final decision is taken by an expert of a group of highy experienced people. Unfortunately, given the increasingly complexity of environmental networks, to prioritize is also a very difficult task for policy makers, administrators and environmental scientists.

We present here a concise methodological approach to environmental prioritizing based on the principles energy distribution in the natural system follows a hyperbolic or power law i.e few components in take a lot of energy and most of them in tale very few energy. Using this ecological fact, we develop in the present work a methodological mathematical framework based on the Einstein-Bose mechanical statistics and the Gibrat law, which led to the developing of a practical guide to prioritizing in environmental sciences.

Our method comprises 1) Elaboration of a random vector of field collected data, 2) Hyperbolicity test: bilogarithmic plots using range as independent variable. 3) Estimation of the fractal dimension for each component of the system and, 4) Construction of a decision matrix whose entries are the fractal dimensions, for those variables with hyperbolic probability distributions, and wlloe known ecological,social and economical indices for variables with any other probability distribution.

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