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An open system framework for integrating critical zone structure and function

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Abstract

The “critical zone” includes the coupled earth surface systems of vegetation, regolith and groundwater that are essential to sustaining life on the planet. The function of this zone is the result of complex interactions among physical, chemical and biological processes and understanding these interactions remains a major challenge to earth system sciences. Here we develop an integrated framework based on thermodynamic theory to characterize the critical zone as a system open to energy and mass fluxes that are forced by radiant, geochemical, and elevational gradients. We derive a statement that demonstrates the relative importance of solar radiation, water, carbon, and physical/chemical denudation mass fluxes to the critical zone energy balance. Within this framework we use rates of effective energy and mass transfer [EEMT; W m−2] to quantify the relevant flux-gradient relations. Synthesis of existing data demonstrates that variation in energetics associated with primary production and effective precipitation explains substantial variance in critical zone structure and function. Furthermore, we observe threshold behavior in systems that transition to primary production predominance of the energy flux term. The proposed framework provides a first order approximation of non-linearity in critical zone processes that may be coupled with physical and numerical models to constrain landscape evolution.

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References

  • Anderson DW (1995) Decomposition of organic matter and carbon emissions from soils. In: Lal R, Kimble J, Stewart BA (eds) Soils and global change. Lewis Publishers, Boca Raton, FL, pp 165–175

    Google Scholar 

  • Brantley SL, White TS, White AF, Sparks D, Richter D, Pregitzer K, Derry L, Chorover J, April R, Anderson S, Amundson R (2006) Frontiers in exploration of the critical zone: Report of a workshop sponsored by the National Science Foundation. p 30

  • Arkley RJ (1963) Calculation of carbonate and water movement in soil from climate data. Soil Sci 96:239–248

    Article  Google Scholar 

  • Balzhiser RE, Samuels MR, Eliassen J (1977) Engineering thermodynamics. Prentice-Hall, Englewood Cliffs, NJ

    Google Scholar 

  • Bastianoni S, Pulselli FM, Rustici M (2006) Exergy versus emergy flow in ecosystems: is there an order in maximizations? Ecol Indic 6:58–62

    Article  Google Scholar 

  • Bejan A (2006) Advanced engineering thermodynamics. Wiley, Hoboken, NJ

    Google Scholar 

  • Bendoricchio G, Jorgensen SE (1997) Exergy as goal function of ecosystems dynamic. Ecol Modell 102:5–15

    Article  Google Scholar 

  • Blum WEH (2008) Forms of energy involved in soil and sediment processes. J Soils Sediments 8:1–2

    Article  Google Scholar 

  • Botkin DB, Malone CR (1968) Efficiency of net primary production based on light intercepted during growing season. Ecology 49:438–444

    Google Scholar 

  • Buol SW, Southard RJ, Graham RC, McDaniel PA (2003) Soil genesis and classification, 5th edn. Iowa State Press, Ames, IA

    Google Scholar 

  • Chorover J, Kretzschmar R, Garcia-Pichel F, Sparks DL (2007) Soil biogeochemical processes within the critical zone. Elements 3:321–326

    Article  Google Scholar 

  • Dewulf J, Van Langenhove H, Muys B, Bruers S, Bakshi BR, Grubb GF, Paulus DM, Sciubba E (2008) Exergy: its potential and limitations in environmental science and technology. Environ Sci Technol 42:2221–2232

    Article  Google Scholar 

  • Dietrich W, Bellugi DG, Sklar L, Stock JD, Heimsath AM, Roering JJ (2003) Geomorphic transport laws for predicting landscape form and dynamics. In: Wilcock PR, Iverson RM (eds) Prediction in geomorphology. American Geophysical Union, Washington, DC, pp 103–132

  • Dokuchaev VV (1967) Selected works of V.V. Dokuchaev. Israel program for scientific translations. Available from the U.S. Dept. of Commerce, Clearinghouse for Federal Scientific and Technical Information, Jerusalem; Springfield, VA

  • Evett SR (2000) Energy and water balances at soil-plant-atmosphere interfaces. In: Malcom ES (ed) Handbook of soil science. CRC Press, Boca Raton, pp A-129–A178

  • Farrar JF (1985) The respiratory source of CO2. Plant Cell Environ 8:427–438

    Article  Google Scholar 

  • Heimsath AM, Dietrich WE, Nishiizumi K, Finkel RC (1997) The soil production function and landscape equilibrium. Nature 388:358–361

    Article  Google Scholar 

  • Hutchinson GE (1957) Concluding remarks. Cold Spring Harb Symp Quantitative Biol 22:415–427. (Reprinted in 1991: Classics in theoretical biology. Bull Math Biol 53:193–213)

  • Jenny H (1941) Factors of soil formation; a system of quantitative pedology. McGraw-Hill Book Company, Inc., New York, London

    Google Scholar 

  • Jenny H (1961) Derivation of state factor equations of soils and ecosystems. Soil Sci Soc Am J 25:385–388

    Article  Google Scholar 

  • Jorgensen SE, Fath BD (2006) Examination of ecological networks. Ecol Modell 196:283–288

    Article  Google Scholar 

  • Jørgensen SE, Fath BD (2004) Application of thermodynamic principles in ecology. Ecol Complex 1:267–280

    Article  Google Scholar 

  • Kay JJ (2000) Ecosystems as self-organizing holarchic open systems: narratives and the second law of thermodynamics. In: Jørgensen SE, Müller F (eds) Handbook of ecosystem theories and management. Lewis Publishers, Boca Raton, FL, pp 135–160

    Google Scholar 

  • Kleidon A (2009) Nonequilibrium thermodynamics and maximum entropy production in the earth system. Naturwissenschaften 96:653–677

    Article  Google Scholar 

  • Kleidon A, Lorenz RD (2005) Entropy production by earth system processes. In: Kleidon A, Lorenz RD (eds) Non-equilibrium thermodynamics and the production of entropy/life, earth, and beyond. Springer, Berlin, pp 1–16

    Chapter  Google Scholar 

  • L’vovich MI (1979) World water resources and their future. Original in Russian. English translation American Geophysical Union, Washington, DC

    Google Scholar 

  • Lasaga AC, Soler JM, Ganor J, Burch TE, Nagy KL (1994) Chemical-weathering rate laws and global geochemical cycles. Geochim Cosmochim Acta 58:2361–2386

    Article  Google Scholar 

  • Lieth H (1975) Primary production of the major vegetation units of the world. In: Leith H, Whittaker RH (eds) Primary productivity of the biosphere. Springer-Verlag, NY, pp 203–215

  • Lindeman RL (1942) The trophic-dynamic aspect of ecology. Ecology 23:399–418

    Article  Google Scholar 

  • Lotka AJ (1922) Contribution to the energetics of evolution. Proc Natl Acad Sci USA 8:147–151

    Google Scholar 

  • Lovett G, Cole J, Pace M (2006) Is net ecosystem production equal to ecosystem carbon accumulation? Ecosystems 9:152–155

    Article  Google Scholar 

  • Minasny B, McBratney AB (1999) A rudimentary mechanistic model for soil production and landscape development. Geoderma 90:3–21

    Article  Google Scholar 

  • Morowitz HJ (1968) Energy flow in biology; biological organization as a problem in thermal physics. Academic Press, New York

    Google Scholar 

  • New M, Hulme M, Jones PD (1999) Representing twentieth century space-time climate variability. Part 1: development of a 1961–1990 mean monthly terrestrial climatology. J Clim 12:829–856

    Article  Google Scholar 

  • Nicolis G, Prigogine I (1989) Exploring complexity. W. H. Freeman, New York

    Google Scholar 

  • NRC (2001) Basic research opportunities in earth sciences. National Academies Press. National Research Council, Washington, DC

  • NRC (2009) Landscapes on the edge: new horizons for research on earth’s surface. The National Acadamies Press, Washington DC

  • Odum HT (1988) Self-organization, transformity, and information. Science 242:1132–1139

    Article  Google Scholar 

  • Odum HT, Pinkerton RC (1955) Times speed regulator—the optimum efficiency for maximum power output in physical and biological systems. Am Sci 43:331–343

    Google Scholar 

  • Osmond CB, Winter K, Ziegler H (1982) Functional significance of different pathways of CO2 fixation in photosynthesis. In: Person A, Zimmerman MH (eds) Encyclopedia of plant physiology. Springer, New York, pp 479–547

    Google Scholar 

  • Pelletier JD (2008) Quantitative modeling of earth surface processes. Cambridge University Press, New York

    Google Scholar 

  • Pelletier JD, Rasmussen C (2009) Quantifying the climatic and tectonic controls on hillslope steepness and erosion rate. Lithosphere 1:73–80

    Article  Google Scholar 

  • Phillips JD (2009) Biological energy in landscape evolution. Am J Sci 309:271–289

    Article  Google Scholar 

  • Rasmussen C, Tabor NJ (2007) Applying a quantitative pedogenic energy model across a range of environmental gradients. Soil Sci Soc Am J 71:1719–1729

    Article  Google Scholar 

  • Rasmussen C, Southard RJ, Horwath WR (2005) Modeling energy inputs to predict pedogenic environments using regional environmental databases. Soil Sci Soc Am J 69:1266–1274

    Article  Google Scholar 

  • Rasmussen C, Williams JZ, Brantley S, Richter D, White A, April R (2009) Climatic controls of regolith weathering and mass flux in granitic terrain—a synthesis of Critical Zone Exploration Network data. Geochimica Et Cosmochimica Acta 73:A1074–A1074

    Google Scholar 

  • Reiners WA (1972) Structure and energetics of 3 Minnesota forests. Ecol Monogr 42:71–94

    Google Scholar 

  • Reheis MC (2006) A 16-year record of dust deposition in southern Nevada and California, USA. J Arid Environ 67:487–520

    Article  Google Scholar 

  • Riebe CS, Kirchner JW, Granger DE, Finkel RC (2001) Strong tectonic and weak climatic control of long-term chemical weathering rates. Geology 29:511–514

    Article  Google Scholar 

  • Riebe CS, Kirchner JW, Finkel RC (2004) Erosional and climatic effects on long-term chemical weathering rates in granitic landscapes spanning diverse climate regimes. Earth Planet Sci Lett 224:547–562

    Article  Google Scholar 

  • Rinaldo A, Rodriguez-Iturbe I, Rigon R (1998) Channel networks. Annu Rev Earth Planet Sci 26:289–327

    Article  Google Scholar 

  • Runge ECA (1973) Soil development sequences and energy models. Soil Sci 115:183–193

    Article  Google Scholar 

  • Schlesinger WH (1997) Biogeochemistry: an analysis of global change. Academic Press, San Diego, CA; London

    Google Scholar 

  • Sivapalan M (2005) Pattern, process and function: elements of a unified theory of hydrology at the catchment scale. In: Anderson M (ed) Encyclopedia of hydrological sciences. Wiley, New York

    Google Scholar 

  • Smeck NE, Runge ECA, Mackintosh EE (1983) Dynamics and genetic modeling of soil systems. In: Wilding LP, Smeck NE, Hall GF (eds) Pedogenesis and soil taxonomy. Elsevier, New York, pp 51–81

    Chapter  Google Scholar 

  • Smil V (1991) General energetics: energy in the biosphere and civilization. Wiley Interscience, New York

    Google Scholar 

  • Soil Survey Staff (2005) FAO-UNESCO soil map of the world; http://soils.usda.gov/use/worldsoils/mapindex/order.html. USDA-NRCS Soil Survey Division, World Soil Resources, Washington, DC

  • Volobuyev VR (1964) Ecology of soils. Academy of Sciences of the Azerbaidzn SSR. Institute of Soil Science and Agrochemistry, Israel Program for Scientific Translations, Jersualem

    Google Scholar 

  • Volobuyev VR (1974) Main concepts of soil ecology. Geoderma 12:27–33

    Article  Google Scholar 

  • Volobuyev VR (1983) Thermodynamic basis of soil classification. Soviet Soil Sci 15:71–83

    Google Scholar 

  • Wagendorp T, Gulinck H, Coppin P, Muys B (2006) Land use impact evaluation in life cycle assessment based on ecosystem thermodynamics. Energy 31:112–125

    Article  Google Scholar 

  • West AJ, Galy A, Bickle M (2005) Tectonic and climatic controls on silicate weathering. Earth Planet Sci Lett 235:211–228

    Article  Google Scholar 

  • White AF, Blum AE (1995) Effects of climate on chemical-weathering in watersheds. Geochim Cosmochim Acta 59:1729–1747

    Article  Google Scholar 

  • White AF, Brantley SL (2003) The effect of time on the weathering of silicate minerals: why do weathering rates differ in the laboratory and field? Chem Geol 202:479–506

    Article  Google Scholar 

  • White AF, Blum AE, Bullen TD, Vivit DV, Schulz M, Fitzpatrick J (1999) The effect of temperature on experimental and natural chemical weathering rates of granitoid rocks. Geochim Cosmochim Acta 63:3277–3291

    Article  Google Scholar 

  • Woods TL, Garrels RM (1987) Thermodynamic values at low temperature for natural inorganic materials: an uncritical summary. Oxford University Press, NY, 242 pp

  • Yoo K, Amundson R, Heimsath AM, Dietrich WE (2005) Process-based model linking pocket gopher (Thomomys bottae) activity to sediment transport and soil thickness. Geology 33:917–920

    Article  Google Scholar 

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Acknowledgements

We acknowledge the University of Arizona Critical Zone Work Group that contributed to discussion and framework development, including Dave Breshears, James Hogan, Shirley Kurc, Kathleen Lohse, Jennifer McIntosh, Tom Meixner and Marcel Schaap. This work was supported by B2 Earthscience through the Philecology Foundation, and National Science Foundation grants DEB-0418134, DEB-0415977, DEB-0543130, EAR-0632516, EAR-0724958, and the National Science Foundation Science and Technology Center for Sustainability of semi-Arid Hydrology and Riparian Areas (SAHRA).

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Correspondence to Craig Rasmussen.

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Rasmussen, C., Troch, P.A., Chorover, J. et al. An open system framework for integrating critical zone structure and function. Biogeochemistry 102, 15–29 (2011). https://doi.org/10.1007/s10533-010-9476-8

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