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Modeling of Energy and Matter Exchange

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Energy and Matter Fluxes of a Spruce Forest Ecosystem

Abstract

With the data sets of the Waldstein-Weidenbrunnen site, different types of soil-vegetation-atmosphere transfer models were tested with different complexity and closure approaches. These are the STANDFLUX and SVAT-CN models in 1D and 3D resolution with a classical first-order closure according to the K-approach, the FLAME with a 1,5-order transilient approach, and the ACASA model with a third-order closure. The presented comparison of model outputs and measured data was very satisfactory. Surprising was the good agreement, as well, of the first-order closure models inside the canopy, also in comparison to sap flow data. Only at nighttime, with a low coupling between the canopy and the atmosphere, did the higher-order closure model ACASA have advantages in comparison to the other models. This study has shown the nearly unrestricted applicability of the models like ACASA (1D) and SVAT-CN (3D) for tall vegetation and even low vegetation and tile approaches. And furthermore, the data sets of the Waldstein-Weidenbrunnen site are qualified for validation of different types of model.

E. Falge, L. Voß: Affiliation during the work at the Waldstein sites—Max Planck Institute for Chemistry, Hahn-Meitner-Weg 1, 55128 Mainz, Germany

K. Gatzsche: Affiliation during the work at the Waldstein sites—Leipzig Institute for Meteorology, University of Leipzig, Stephanstr. 3, 04103 Leipzig, Germany

K. Köck (formerly Staudt), K. Gatzsche, A. Schäfer, T. Foken: Affiliation during the work at the Waldstein sites—Department of Micrometeorology, University of Bayreuth, Bayreuth, Germany

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References

  • Baldocchi DD, Wilson KB, Gu L (2002) How the environment, canopy structure and canopy physiological functioning influence carbon, water and energy fluxes of a temperate broad-leaved deciduous forest-an assessment with the biophysical model CANOAK. Tree Phys 22:1065–1077

    Article  CAS  Google Scholar 

  • Berger M, Dlugi R, Foken T (2004) Modelling the vegetation atmospheric exchange with transilient model. In: Matzner E (ed) Biogeochemistry of forested catchments in a changing environment, a German case study, Ecological studies, vol 172. Springer, Berlin, pp 177–190

    Chapter  Google Scholar 

  • Charuchittipan D, Babel W, Mauder M, Leps J-P, Foken T (2014) Extension of the averaging time of the eddy-covariance measurement and its effect on the energy balance closure. Boundary Layer Meteorol 152:303–327

    Article  Google Scholar 

  • Chen Y, Ryder J, Bastrikov V, McGrath MJ, Naudts K, Otto J, Ottlé C, Peylin P, Polcher J, Valade A, Black A, Elbers JA, Moors E, Foken T, van Gorsel E, Haverd V, Heinesch B, Tiedemann F, Knohl A, Launiainen S, Loustau D, Ogée J, Vessala T, Luyssaert S (2016) Evaluating the performance of land surface model ORCHIDEE-CAN v1.0 on water and energy flux estimation with a single- and multi-layer energy budget scheme. Geosci Model Dev 9:2951–2972

    Article  Google Scholar 

  • Ciais P, Reichstein M, Viovy M, Granier A, Ogée J, Allard V, Aubinet M, Buchmann N, Bernhofer C, Carrara A, Chevallier F, De Noblet N, Friend AD, Friedlinstein P, Grünwald T, Heinesch B, Keronen P, Knohl A, Krinner G, Loustau D, Manca G, Matteucci G, Migglietta F, Ourcival JM, Papale D, Pilegaard K, Rambal S, Seufert G, Soussana JF, Sanz MJ, Schulze ED, Vesala T, Valentini R (2005) Europe-wide reduction in primary productivity caused by the heat and drought in 2003. Nature 437:529–533

    Article  CAS  PubMed  Google Scholar 

  • Collatz GJ, Ball JT, Grivet C, Berry JA (1991) Regulation of stomatal conductance and transpiration, a physiological model of canopy processes. Agric For Meteorol 54:107–136

    Article  Google Scholar 

  • Constantin J, Inclan MG, Raschendorfer M (1998) The energy budget of a spruce forest: field measurements and comparison with the forest–land–atmosphere model (FLAME). J Hydrol 212–213:22–35

    Article  Google Scholar 

  • Deardorff JW (1966) The counter-gradient heat flux in the lower atmosphere and in the laboratory. J Atmos Sci 23:503–506

    Article  Google Scholar 

  • Denmead DT, Bradley EF (1985) Flux-gradient relationships in a forest canopy. In: Hutchison BA, Hicks BB (eds) The forest-atmosphere interaction. D. Reidel, Dordrecht, pp 421–442

    Chapter  Google Scholar 

  • Denmead DT, Bradley EF (1987) On scalar transport in plant canopies. Irrig Sci 8:131–149

    Article  Google Scholar 

  • Ducoudré NI, Laval K, Perrier A (1993) SECHIBA, a new set of parameterizations of the hydrologic exchanges at the land-atmosphere interface within the LMD atmospheric general circulation model. J Clim 6:248–273

    Article  Google Scholar 

  • Eder F, Serafimovich A, Foken T (2013) Coherent structures at a forest edge: properties, coupling and impact of secondary circulations. Boundary Layer Meteorol 148:285–308

    Article  Google Scholar 

  • Falge E, Graber W, Siegwolf R, Tenhunen JD (1996) A model of the gas exchange response of Picea abies to habitat conditions. Trees 10:277–287

    Google Scholar 

  • Falge EM, Ryel RJ, Alsheimer M, Tenhunen JD (1997) Effects on stand structure and physiology on forest gas exchange: a simulation study for Norway spruce. Trees 11:436–448

    Article  Google Scholar 

  • Falge E, Tenhunen JD, Ryel R, Alsheimer M, Köstner B (2000) Modelling age- and density-related gas exchange of Picea abies canopies of the Fichtelgebirge, Germany. Ann Sci For 57:229–243

    Article  Google Scholar 

  • Falge E, Tenhunen J, Aubinet M, Bernhofer C, Clement R, Granier A, Kowalski A, Moors E, Pilegaard K, Rannik Ü, Rebmann C (2003) A model-based study of carbon fluxes at ten European forest sites. In: Valentini R (ed) Fluxes of carbon, water and energy of European forests, Ecological studies, vol 163. Springer, Berlin, pp 151–177

    Chapter  Google Scholar 

  • Falge E, Reth S, Brüggemann N, Butterbach-Bahl K, Goldberg V, Oltchev A, Schaaf S, Spindler G, Stiller B, Queck R, Köstner B, Bernhofer C (2005) Comparison of surface energy exchange models with eddy flux data in forest and grassland ecosystems of Germany. Ecol Mod 188:174–216

    Article  Google Scholar 

  • Falk M, Pyles RD, Ustin SL, Paw U KT, Xu L, Whiting ML, Sanden BL, Brown PH (2014) Evaluated crop evapotranspiration over a region of irrigated orchards with the improved ACASA-WRF model. J Hydrometeorol 15:744–758

    Article  Google Scholar 

  • Farquhar GD, von Caemmerer S (1982) Modeling photosynthetic response to environmental conditions. In: Lange OL et al (eds) Encyclopia of plant physiology II, vol 12b. Springer, Berlin

    Google Scholar 

  • Farquhar GD, von Caemmerer S, Berry JA (1980) A biochemical of photosynthetic CO2 assimilation in leaves of C3 species. Planta 149:78–90

    Article  CAS  PubMed  Google Scholar 

  • Finnigan J (2000) Turbulence in plant canopies. Ann Rev Fluid Mech 32:519–571

    Article  Google Scholar 

  • Foken T (2008) The energy balance closure problem—An overview. Ecolog Appl 18:1351–1367

    Article  Google Scholar 

  • Foken T, Mangold A, Rebmann C, Wichura B (2000) Characterization of a complex measuring site for flux measurements. 14th Symposium on Boundary Layer and Turbulence, Aspen, CO, 07–11 Aug 2000. Am Meteorol Soc, Boston, pp 388–389

    Google Scholar 

  • Foken T, Meixner FX, Falge E, Zetzsch C, Serafimovich A, Bargsten A, Behrendt T, Biermann T, Breuninger C, Dix S, Gerken T, Hunner M, Lehmann-Pape L, Hens K, Jocher G, Kesselmeier J, Lüers J, Mayer JC, Moravek A, Plake D, Riederer M, Rütz F, Scheibe M, Siebicke L, Sörgel M, Staudt K, Trebs I, Tsokankunku A, Welling M, Wolff V, Zhu Z (2012) Coupling processes and exchange of energy and reactive and non-reactive trace gases at a forest site—results of the EGER experiment. Atmos Chem Phys 12:1923–1950

    Article  CAS  Google Scholar 

  • Frühauf C, Zimmermann L, Bernhofer C (1999) Comparison of forest evapotranspiration from ECEB-measurements over a spruce stand with the water budget of a catchment. Phys Chem Earth B 24:805–808

    Article  Google Scholar 

  • Garratt JR (1978) Flux profile relations above tall vegetation. Quart J Roy Meteorol Soc 104:199–211

    Article  Google Scholar 

  • Gough C, Vogel C, Kazanski C, Nagel L, Flower C, Curtis P (2007) Coarse woody debris and the carbon balance of a north temperate forest. For Ecol Manage 244:60–67

    Article  Google Scholar 

  • Harman IN, Finnigan JJ (2007) A simple unified theory for flow in the canopy and roughness sublayer. Boundary Layer Meteorol 123:339–363

    Article  Google Scholar 

  • Harman IN, Finnigan JJ (2008) Scalar concentration profiles in the canopy and roughness sublayer. Boundary Layer Meteorol 129:323–351

    Article  Google Scholar 

  • Inclán MG, Forkel R, Dlugi R, Stull RB (1996) Application of transilient turbulent theory to study interactions between the atmospheric boundary layer and forest canopies. Boundary Layer Meteorol 79:315–344

    Article  Google Scholar 

  • Inclán MG, Dlugi R, Richter SH, Foken T (1998) Vergleich zwischen LITFASS- und FLAME-(Forest-Land-Atmosphere-Model) Ergebnissen. Ann Meteorol 37:267–268

    Google Scholar 

  • Inclán G, Schween J, Dlugi R (1999) Estimation of volatile organic compound fluxes using the forest-land-atmosphere model (FLAME). J Appl Meteorol 38:913–921

    Article  Google Scholar 

  • Juang JY, Katul G, Siqueira MB, Stoy PC, McCarthy HR (2008) Investigating a hierarchy of Eulerian closure models for scalar transfer inside forested canopies. Boundary Layer Meteorol 128:1–32

    Article  Google Scholar 

  • Katul GG, Albertson JD (1998) An investigation of higher-order closure models for a forested canopy. Boundary Layer Meteorol 89:47–74

    Article  Google Scholar 

  • Klaassen W, van Breugel PB, Moors EJ, Nieveen JP (2002) Increased heat fluxes near a forest edge. Theor Appl Climat 72:231–243

    Article  Google Scholar 

  • Krinner G, Viovy N, de Noblet-Ducoudré N, Ogée J, Polcher J, Friedlingstein P, Ciais P, Sitch S, Prentice IC (2005) A dynamic global vegetation model for studies of the coupled atmosphere-biosphere system. Global Biogeochem Cycles 19:GB1015

    Article  Google Scholar 

  • Leuning RFM (1990) Modeling stomatal behavior and photosynthesis of Eucalyptus grandis. Austr J Plant Phys 17:159–175

    Article  Google Scholar 

  • Meyers TP (1985) A simulation of the canopy microenvironment using higher order closure principles. PhD Thesis, Purdue University, Purdue, 153 pp

    Google Scholar 

  • Meyers TP, Paw U KT (1986) Testing a higher-order closure model for modelling airflow within and above plant canopies. Boundary Layer Meteorol 37:297–311

    Article  Google Scholar 

  • Meyers TP, Paw U KT (1987) Modelling the plant canopy microenvironment with higher-order closure principles. Agric For Meteorol 41:143–163

    Article  Google Scholar 

  • Norman JM (1979) Modelling the complete crop canopy. In: Barfield B, Gerber J (eds) Modification of areal environment of crops, monograph 2. American Society of Agricultural Engineering, St. Joseph, pp 249–277

    Google Scholar 

  • Paw U KT, Gao W (1988) Application of solutions to non-linear energy budget equations. Agric For Meteorol 43:121–145

    Article  Google Scholar 

  • Pinard JD, Wilson JD (2001) First- and second-order closure models for wind in a plant canopy. J Appl Meteorol 40:1762–1768

    Article  Google Scholar 

  • Pyles RD (2000) The development and testing of the UCD advanced canopy-atmosphere-soil algorithm (ACASA) for use in climate prediction and field studies. PhD, University of California, Davis, 194 pp

    Google Scholar 

  • Pyles RD, Weare BC, Paw U KT (2000) The UCD Advanced Canopy-Atmosphere-Soil Algorithm: comparisons with observations from different climate and vegetation regimes. Quart J Roy Meteorol Soc 126:2951–2980

    Article  Google Scholar 

  • Pyles RD, Paw U KT, Falk M (2004) Directional wind shear within an old-growth temperate rainforest. Observations and model results. Agric For Meteorol 125:19–31

    Article  Google Scholar 

  • Raabe A (1983) On the relation between the drag coefficient and fetch above the sea in the case of off-shore wind in the near shore zone. Z Meteorol 33:363–367

    Google Scholar 

  • Raupach MR, Finnigan JJ, Brunet Y (1996) Coherent eddies and turbulence in vegetation canopies: the mixing-layer analogy. Boundary Layer Meteorol 78:351–382

    Article  Google Scholar 

  • Rebmann C, Anthoni P, Falge E, Göckede M, Mangold A, Subke J-A, Thomas C, Wichura B, Schulze ED, Tenhunen J, Foken T (2004) Carbon budget of a spruce forest ecosystem. In: Matzner E (ed) Biogeochemistry of forested catchments in a changing enivironment, a German case study, Ecological studies, vol 172. Springer, Berlin, pp 143–160

    Chapter  Google Scholar 

  • Reichstein M (2001) Drought effects on ecosystem carbon and water exchange in three Mediterranean forest ecosytems-a combined top-down and bottom-up analysis. Bayreuther Forum Ökologie 89:1–150

    Google Scholar 

  • Schaer C, Jendritzky G (2004) Climate change: hot news from summer 2003. Nature 432:559–560

    Article  CAS  Google Scholar 

  • Serafimovich A, Eder F, Hübner J, Falge E, Voß L, Sörgel M, Held A, Liu Q, Eigenmann R, Huber K, Duarte HF, Werle P, Gast E, Cieslik S, Liu H, Foken T (2011) ExchanGE processes in mountainous Regions (EGER)-Documentation of the Intensive Observation Period (IOP3) 13 June to 26 July 2011. Arbeitsergebn, Univ Bayreuth, Abt Mikrometeorol. ISSN 1614-8916, 47:135

    Google Scholar 

  • Shaw RH, Schumann U (1992) Large-eddy simulation of turbulent flow above and within a forest. Boundary Layer Meteorol 61:47–64

    Article  Google Scholar 

  • Smirnova TG, Brown JM, Benjamin SG (1997) Performance of different soil model configurations in simulating ground surface temperature and surface fluxes. Monthly Weather Rev 125:1870–1884

    Article  Google Scholar 

  • Smirnova TG, Brown JM, Benjamin SG, Kim D (2000) Parameterization of cold-season processes in the MAPS land-surface scheme. J Geophys Res D 105:4077–4086

    Article  Google Scholar 

  • Staudt K, Falge E, Pyles RD, Paw U KT, Foken T (2010) Sensitivity and predictive uncertainty of the ACASA model at a spruce forest site. Biogeoscience 7:3685–3705

    Article  Google Scholar 

  • Staudt K, Serafimovich A, Siebicke L, Pyles RD, Falge E (2011) Vertical structure of evapotranspiration at a forest site (a case study). Agric For Meteorol 151:709–729

    Article  Google Scholar 

  • Stull RB (1984) Transilient turbulence theory, Part 1: the concept of eddy mixing across finite distances. J Atmos Sci 41:3351–3367

    Article  Google Scholar 

  • Stull R (1993) Review of non-local mixing in turbulent atmospheres: transilient turbulence theory. Boundary Layer Meteorol 62:21–96

    Article  Google Scholar 

  • Su H-B, Paw U KT, Shaw RH (1996) Development of a coupled leaf and canopy model for the simulation of plant-atmosphere interactions. J Appl Meteorol 35:733–748

    Article  Google Scholar 

  • Subke J-A, Reichstein M, Tenhunen J (2003) Explaining temporal variation in soil CO2 efflux in a mature spruce forest in Southern Germany. Soil Biol Biochem 35:1467–1483

    Article  CAS  Google Scholar 

  • Tenhunen JD, Falge E, Ryel R, Manderscheid B, Peters K, Ostendorf B, Joss U, Lischeid G (2001) Modelling of fluxes in a spruce forest catchment of the Fichtelgebirge. In: Tenhunen JD et al (eds) Ecosystem approaches to landscape management in Central Europe, Ecological studies, vol 147. Springer, Berlin, pp 417–462

    Chapter  Google Scholar 

  • Tenhunen J, Geyer R, Adiku S, Reichstein M, Tappeiner U, Bahn M, Cernusca A, Dinh NQ, Kolcun O, Lohila A, Otieno D, Schmidt M, Schmitt M, Wang Q, Wartinger M, Wohlfahrt G (2009) Influences of changing land use and CO2 concentration on ecosystem and landscape level carbon and water balances in mountainous terrain of the Stubai Valley, Austria. Glob Planet Change 67:29–43

    Article  Google Scholar 

  • Thomas C, Foken T (2007) Flux contribution of coherent structures and its implications for the exchange of energy and matter in a tall spruce canopy. Boundary Layer Meteorol 123:317–337

    Article  Google Scholar 

  • Twine TE, Kustas WP, Norman JM, Cook DR, Houser PR, Meyers TP, Prueger JH, Starks PJ, Wesely ML (2000) Correcting eddy-covariance flux underestimates over a grassland. Agric For Meteorol 103:279–300

    Article  Google Scholar 

  • Wang Q, Tenhunen J, Schmidt M, Kolcun O, Droesler M (2006) A model to estimate global radiation in complex terrain. Boundary Layer Meteorol 119:409–429

    Article  Google Scholar 

  • Xu L, Pyles RD, Paw U KT, Chen S-H, Monier E (2014) Coupling the high-complexity land surface model ACASA to the mesoscale model WRF. Geosci Model Dev 7:2917–2932

    Article  Google Scholar 

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Acknowledgement

This research was funded within the DFG projects FO 226/16-1 and ME 2100/4-1 as well the DFG PAK 446 project, mainly the subprojects ME 2100/5-1 and FO226/21-1, the fourth projects of BITÖK, PT BEO 51-0339476 D), and BaCaTeC (Bayerisch-Kalifornische Hochschulzentrum) “Modellierung des Energieaustausches zwischen der Atmosphäre und Waldökosystemen.” Partial support came from a grant from the US National Science Foundation EF1137306 to the Massachusetts Institute of Technology, sub-award 5710003122 to the University of California Davis.

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Falge, E. et al. (2017). Modeling of Energy and Matter Exchange. In: Foken, T. (eds) Energy and Matter Fluxes of a Spruce Forest Ecosystem. Ecological Studies, vol 229. Springer, Cham. https://doi.org/10.1007/978-3-319-49389-3_16

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