A procedure for mathematical analysis of landscape evolution and equilibrium scenarios assessment

Annila, 2010, Physical foundations of evolutionary theory, Journal of Non-equilibrium Thermodynamics, 35, 301, 10.1515/jnetdy.2010.019 Antrop, 2000, Holistic aspects of suburban landscapes: Visual image interpretation and landscape metrics, Landscape and Urban Planning, 50, 43, 10.1016/S0169-2046(00)00079-7 Brown, 2004, Toward a metabolic theory of ecology, Ecology, 85, 1771, 10.1890/03-9000 Brunsell, 2011, Quantifying the thermodynamic entropy budget of the land surface: Is this useful?, Earth System Dynamics, 2, 71, 10.5194/esd-2-87-2011 Cantwell, 1993, Landscape graphs: Ecological modeling with graph theory to detect configurations common to diverse landscapes, Landscape Ecology, 8, 239, 10.1007/BF00125131 Chakrabarti, 2010, Maximum-entropy principle: Ecological organization and evolution, Journal of Biological Physics, 36, 175, 10.1007/s10867-009-9170-z Darwin, 1859 De Angelis, 1987, Equilibrium and non-equilibrium concepts in ecological models, Ecological Monographs, 57, 1, 10.2307/1942636 Fabbri, 2003 Finotto, 2010, Un modello per la valutazione di energia biologica in un sistema ambientale, Scienze Regionali, 9, 61, 10.3280/SCRE2010-003003 Forman, 1995 Grimm, 1997, Babel, or the ecological stability discussion: An inventory and analysis of terminology and a guide for avoiding confusion, Oecologia, 109, 323, 10.1007/s004420050090 Ingegnoli, 2002 Ingegnoli, 2005, An innovative contribution of landscape ecology to vegetation science, Israel Journal of Plant Sciences, 53, 155, 10.1560/DT24-JVK8-DJ80-CV2D Jaeger, 2010, Suitability criteria for measures of urban sprawl, Ecological Indicators, 10, 397, 10.1016/j.ecolind.2009.07.007 Jøergensen, 2004, Application of thermodynamic principles in ecology, Ecological Complexity, 1, 267, 10.1016/j.ecocom.2004.07.001 Jørgensen, 1999, A tentative fourth law of thermodynamics, applied to description of ecosystem development. Tempos in science and nature: Structures, relations, and complexity, Annals of the New York Academy of Sciences, 879, 320, 10.1111/j.1749-6632.1999.tb10438.x Kleidon, 2004, Optimized stomatal conductance of vegetated land surfaces and its effects on simulated productivity and climate, Geophysical Research Letters, 31, 1, 10.1029/2004GL020769 Kleidon, 2007, Optimized stomatal conductance and the climate sensitivity to carbon dioxide, Geophysical Research Letters, 34, 1, 10.1029/2007GL030342 Kleidon, 2010, Maximum entropy production in environmental and ecological systems, Philosophical Transactions of the Royal Society of London Series B, 365, 1297, 10.1098/rstb.2010.0018 Lauro, 2007, A model for the evolution of bioenergy in an environmental system, 96 Lauro, 2010, A modeling frame work for analysis of landscape stability and bifurcation phenomena, Rendiconti del Seminario Matematico Università e Politecnico di Torino, 68, 399 Li, 2000, Why is the holistic approach becoming so important in landscape ecology?, Landscape and Urban Planning, 50, 27, 10.1016/S0169-2046(00)00078-5 Lotka, 1922, Contribution to the energetics of evolution, Proceedings of the National Academy of Sciences of the United States of America, 8, 147, 10.1073/pnas.8.6.147 Michaelian, 2005, Thermodynamic stability of ecosystems, Journal of Theoretical Biology, 237, 323, 10.1016/j.jtbi.2005.04.019 Murray, 2002 Narumalani, 2004, Change detection and landscape metrics for inferring anthropogenic processes in the greater EFMO area, Remote Sensing of Environment, 91, 478, 10.1016/j.rse.2004.04.008 Naveh, 1987, Biocybernetic and thermodynamic perspectives of landscape functions and land use patterns, Landscape Ecology, 1, 75, 10.1007/BF00156229 Naveh, 2000, What is holistic landscape ecology? A conceptual introduction, Landscape and Urban Planning, 50, 7, 10.1016/S0169-2046(00)00077-3 Naveh, 2001, Ten major premises for a holistic conception of multifunctional landscapes, Landscape and Urban Planning, 57, 269, 10.1016/S0169-2046(01)00209-2 Paltineanu, 2007, Relationships between the De Martonne aridity index and water requirements of some representative crops: A case study from Romania, International Agrophysics, 21, 81 Pelorosso, 2009, Land cover and land use change in the Italian central Apennines: A comparison of assessment methods, Applied Geography, 29, 35, 10.1016/j.apgeog.2008.07.003 Perry, 2002, Landscape, space and equilibrium: Shifting viewpoints, Progress in Physical Geography, 26, 339, 10.1191/0309133302pp341ra Prigogine, 1976, Order through fluctuations: Self-organization and social systems, 93 Risser, 1984 Rocchini, 2006, Landscape change and the dynamics of open formations in a natural reserve, Landscape and Urban Planning, 77, 167, 10.1016/j.landurbplan.2005.02.008 Saaty, 1990, How to make a decision: The analytic hierarchy process, European Journal of Operational Research, 48, 9, 10.1016/0377-2217(90)90057-I Saura, 2007, A new habitat availability index to integrate connectivity in landscape conservation planning: Comparison with existing indices and application to a case study, Landscape and Urban Planning, 83, 91, 10.1016/j.landurbplan.2007.03.005 Schneider, 1994, Life as a manifestation of the second law of thermodynamics, Mathematical and Computer Modelling, 19, 25, 10.1016/0895-7177(94)90188-0 Schneider, 1994, Complexity and thermodynamics: Towards a new ecology, Futures, 26, 626, 10.1016/0016-3287(94)90034-5 Sharma, 2007, Natural process—Natural selection, Biophysical Chemistry, 127, 123, 10.1016/j.bpc.2007.01.005 Turner, 1993, A revised concept of landscape equilibrium: Disturbance and stability on scaled landscapes, Landscape Ecology, 8, 213, 10.1007/BF00125352 Urban, 2009, Graph models of habitat mosaics, Ecology Letters, 12, 260, 10.1111/j.1461-0248.2008.01271.x Vallino, 2010, Ecosystem biogeochemistry considered as a distributed metabolic network ordered by maximum entropy production, Philosophical Transactions of the Royal Society of London Series B, 365, 1417, 10.1098/rstb.2009.0272 Vallino, 2011, Differences and implications in biogeochemistry from maximizing entropy production locally versus globally, Earth System Dynamics, 2, 69, 10.5194/esd-2-69-2011 Wang, 2007, A maximum hypothesis of transpiration, Journal of Geophysical Research, 112, 1, 10.1029/2006JG000255 Wurtz, 2010, Ecological succession as an energy dispersal process, BioSystems, 100, 70, 10.1016/j.biosystems.2010.01.004