Maximum entropy production allows a simple representation of heterogeneity in semiarid ecosystems

Philosophical Transactions of the Royal Society B: Biological Sciences

Volumn 365, Issue 1545, 2010, Pages 1449-1455

  Schymanski, Stanislaus J ^a   Kleidon, Axel ^a   Stieglitz, Marc ^b   Narula, Jatin ^c,d  

^a MAX PLANCK INSTITUTE FOR BIOGEOCHEMISTRY   (Germany)

^b Georgia Institute of Technology   (United States)

^c INDIAN INSTITUTE OF TECHNOLOGY MADRAS   (India)

^d Rice University   (United States)

Author keywords

Heterogeneity; Maximum entropy production; Optimality; Self organization; Subgrid scale variability; Vegetation patterns

Indexed keywords

HETEROGENEITY; MAXIMUM ENTROPY ANALYSIS; OPTIMIZATION; PARAMETERIZATION; PHYTOMASS; PRECIPITATION INTENSITY; SELF ORGANIZATION; SEMIARID REGION; VEGETATION STRUCTURE;

EID: 77952336207     PISSN: 09628436     EISSN: 14712970     Source Type: Journal    
DOI: 10.1098/rstb.2009.0309     Document Type: Article

References (19)

1. Arora, V. 2002 The use of the aridity index to assess climate change effect on annual runoff. J. Hydrol. 265, 164-177. (doi:10.1016/S0022-1694(02) 00101-4).
2. Dekker, S. & Rietkerk, M. 2005 Comment on 'multiple equilibrium states and the abrupt transitions in a dynamical system of soil water interacting with vegetation' by X. Zeng et al. Geophys. Res. Lett. 32, L09402.
3. Dewar, R. 2003 Information theory explanation of the fluctuation theorem, maximum entropy production and self-organized criticality in non-equilibrium stationary states. J. Phys. A Math. Gen. 36, 631-641. (doi:10. 1088/0305-4470/36/3/303)
4. Klausmeier, C. A. 1999 Regular and irregular patterns in semiarid vegetation. Science 284, 1826-1828. (doi: 10. 1126/science.284.5421.1826)
5. Kleidon, A. 2004 Beyond Gaia: thermodynamics of life and earth system functioning. Clim. Change 66, 271-319. (doi:10.1023/B:CLIM.0000044616.34867.ec)
6. Kleidon, A. & Schymanski, S. 2008 Thermodynamics and optimality of the water budget on land: a review. Geophys. Res. Lett. 35, L20404. (doi:10.1029/2008GL035393)
7. Kondepudi, D. & Prigogine, I. 1998 Modern thermodynamics, from heat engines to dissipative structures. Chichester, UK: John Wiley & Sons.
8. Larson, V. E., Wood, R., Field, P. R., Golaz, J. C., Vonder Haar, T. H. & Cotton, W R. 2001 Systematic biases in the microphysics and thermodynamics of numerical models that ignore subgrid-scale variability. J. Atmos. Sci. 58, 1117-1128. (doi:10.1175/1520-0469(2001) 058<1117:SBITMA>2.0.CO;2)
9. Lejeune, O., Tlidi, M. & Couteron, P. 2002 Localized vegetation patches: a self-organized response to resource scarcity. Phys. Rev. E 66, 010901. (doi:10.1103/PhysRevE. 66.010901)
10. Lejeune, O., Tlidi, M. & Lefever, R. 2004 Vegetation spots and stripes: dissipative structures in arid landscapes. Int. J. Quantum Chem. 98, 261-271. (doi:10.1002/qua.10878)
11. Lorenz, R. D., Lunine, J. I., Withers, P. G. & McKay, C. P. 2001 Titan, Mars and Earth: entropy production by latitudinal heat transport. Geophys. Res. Lett. 28, 415-418. (doi: 10.1029/2000GL012336)
12. Ozawa, H., Ohmura, A., Lorenz, R. D. & Pujol, T. 2003 The second law of thermodynamics and the global climate system: a review of the maximum entropy production principle. Rev. Geophys. 41, 1018. (doi:10.1029/ 2002RG000113)
13. Rietkerk, M. & Van de Koppel, J. 2008 Regular pattern formation in real ecosystems. Trends Ecol. Evol. 23, 169-175. (doi:10.1016/j.tree.2007.10. 013) (Pubitemid 351323977)
14. Rietkerk, M., Dekker, S., de Ruiter, P. & van de Koppel, J. 2004a Self-organized patchiness and catastrophic shifts in ecosystems. Science 305, 1926-1929. (doi:10.1126/ science.1101867) (Pubitemid 39287984)
15. Rietkerk, M., Dekker, S., Wassen, M., Verkroost, A. & Bierkens, M. 2004e A putative mechanism for bog patterning. Am. Nat. 163, 699-708. (doi: 10.1086/383065)
16. Schymanski, S. J. 2008 Optimality as a concept to understand and model vegetation at different scales. Geogr. Compass2, 1580-1598. (doi:10.1111/j.1749- 8198.2008. 00137.x)
17. Schymanski, S. J., Kleidon, A. & Roderick, M. L. 2009a Ecohydrological optimality. In Encyclopedia of hydrological sciences. Chichester, UK: John Wiley & Sons Ltd. (doi: 10. 1002/0470848944.hsa319)
18. Schymanski, S. J., Sivapalan, M., Roderick, M. L., Hutley, L. B. & Beringer, J. 2009è An optimality-based model of the dynamic feedbacks between natural vegetation and the water balance. Water Resour. Res. 45, W01412. (doi:10.1029/2008WR006841)
19. Zeng, X., Shen, S. S., Zeng, X. & Dickinson, R. E. 2004 Multiple equilibrium states and the abrupt transitions in a dynamical system of soil water interacting with vegetation. Geophys. Res. Lett 1, L05501 (doi:10.1029/ 2003GL018910) (Pubitemid 38616543)