Investigation of thermodynamic properties in an ecological model developing from ordered to chaotic states

Some Applications of Thermodynamics for Ecological Systems

“…The use of exergy made possible the investigation of the flows of an ecosystem in terms of exergy and to arrange the system as a hierarchically ordered sequence of systems, thermodynamically embedded in each other (Nielsen, 2000). Experiments with mathematical models supported the hypothesis that an ecosystem can coordinate the most complex behaviour in the case of high level of exergy of the systems at the edge of oscillation before entering into the chaotic situation (Mandal et al, 2007). The thermodynamic notion of exergy was shown to give better insight both to the patterns of nonlinear ecosystem behaviour and to comparison of the patterns in ecological modelling (Svirezhev & Steinbom, 2001).…”

“…This exergy now is often called Eco-Exergy (sometimes -exergy index) to distinguish it from physical or technological exergy (Marques et al, 2003;Jørgensen, 2006Jørgensen, , 2007. Another indicator of ecosystem state, based on Eco-Exergy, was proposed -structural or specific exergy (structural or specific Eco-Exergy).…”

“…These coefficients reflect relative complexity of organisms (simpler organisms have lower β values). Later, with the use of new genetic data and some indirect methods of β values assessment, ratio of non-informative genes to total genes number and others, new list of β was composed and published (Jørgensen et al, 2005;Jørgensen, 2007). New β values are added every year (table 1).…”

Exergy as a Tool for Ecosystem Health Assessment

“…The use of exergy made possible the investigation of the flows of an ecosystem in terms of exergy and to arrange the system as a hierarchically ordered sequence of systems, thermodynamically embedded in each other [76]. Experiments with mathematical models supported the hypothesis that the ecosystem can coordinate the most complex behavior in the case of high level of exergy of the systems at the edge of oscillation before entering into the chaotic situation [77]. The thermodynamic notion of exergy was shown to give better insight both to the patterns of nonlinear ecosystem behavior and to comparison of the patterns in ecological modeling [45].…”

Qualitative behavior of three species food chain around inner equilibrium point: spectral analysis

“…Nonetheless, such models need to be analyzed in detail since those models are found to be efficient to explain more exotic process of food web. At the begining of nineties, Hastings and Powell (HP) [6] produced an example of a chaotic system in a three species food chain modelled with type II functional responses and found to be most widely accepted [7][8][9][10][11][12][13] for defining the movement of aquatic ecosystem from its equilibrium state to chaotic states.…”