Relative importance of local and regional controls on coupled water, carbon, and energy fluxes

Abstract This paper reports the first effort to include carbon, water, and heat exchange in a Large Eddy Simulation (LES) model for 3D canopy flows with dynamic response of leaf temperature and stomatal aperture. The LES model simulates eddy motion from 3D, transient integration of a filtered form of the Navier–Stokes equations. Carbon exchange between the vegetation and air is predicted in space and time following biophysical considerations, which act to maximize carbon assimilation while minimizing water loss. The vegetation's stomatal conductance is inferred from these same considerations and used to regulate both transpiration and carbon assimilation rates. Variations in transpiration and radiation distribution propagate to foliage temperature and ultimately heat exchange through a local, transient vegetation energy balance. The wind field is affected by the foliage patterns and by the temperature profile's control on vertical mixing. These temperature and mixing patterns control the concentration profiles that, in turn, affect water and CO 2 exchange processes. By comparing a simulation of horizontally heterogeneous canopy behavior to simulations of several homogeneous canopies with different leaf area index (LAI) values we evaluate the relative importance of local and regional LAI values on the local microenvironment variables and fluxes from the forest canopy. We focus on a pine forest with ample soil moisture as a case study. We demonstrate from these simulations that primitive state variables (e.g. concentrations and velocity) exhibit noticeable non-local controls. However, these features are offset in their effects on land surface fluxes, such that the local fluxes scale well with local LAI values. Furthermore, the resulting relationships between LAI and fluxes are quasi-linear (for the forest morphology studied here) allowing for robust relationships between forest averaged LAI and forest averaged fluxes. The offsetting nature of the non-local effects is described in the context of the dual regulation of stomatal conductance by the rates of carbon assimilation and water loss as opposed to independent regulating effects of the various state variables. Hence, non-local variations in state variables naturally induce offsetting variations in stomatal conductance thereby buffering the water use efficiency of the plant from environmental excursions associated with the turbulent microclimate.

[1]  E. F. Bradley,et al.  Flux-Gradient Relationships in a Forest Canopy , 1985 .

[2]  J. Harborne Encyclopedia of plant physiology, New series , 1978 .

[3]  I. R. Cowan,et al.  Leaf Conductance in Relation to Rate of CO(2) Assimilation: III. Influences of Water Stress and Photoinhibition. , 1985, Plant physiology.

[4]  William P. Kustas,et al.  Large‐eddy simulation over heterogeneous terrain with remotely sensed land surface conditions , 2001 .

[5]  P. Jarvis The Interpretation of the Variations in Leaf Water Potential and Stomatal Conductance Found in Canopies in the Field , 1976 .

[6]  P. Jarvis,et al.  Do stomata respond to relative humidity , 1991 .

[7]  R. Shaw,et al.  Two-Point Correlation Analysis Of Neutrally Stratified Flow Within And Above A Forest From Large-Eddy Simulation , 2000 .

[8]  U. Schumann,et al.  Large‐eddy simulation of a neutrally stratified boundary layer: A comparison of four computer codes , 1994 .

[9]  Cheng-I Hsieh,et al.  Spatial Variability of Turbulent Fluxes in the Roughness Sublayer of an Even-Aged Pine Forest , 1999 .

[10]  I. R. Cowan,et al.  Leaf Conductance in Relation to Rate of CO(2) Assimilation: I. Influence of Nitrogen Nutrition, Phosphorus Nutrition, Photon Flux Density, and Ambient Partial Pressure of CO(2) during Ontogeny. , 1985, Plant physiology.

[11]  D. Jordan,et al.  The CO2/O 2 specificity of ribulose 1,5-bisphosphate carboxylase/oxygenase : Dependence on ribulosebisphosphate concentration, pH and temperature. , 1984, Planta.

[12]  D. Pury,et al.  Simple scaling of photosynthesis from leaves to canopies without the errors of big‐leaf models , 1997 .

[13]  M. Raupach Canopy Transport Processes , 1988 .

[14]  J. Lumley,et al.  A First Course in Turbulence , 1972 .

[15]  I. R. Cowan,et al.  Leaf Conductance in Relation to Rate of CO(2) Assimilation: II. Effects of Short-Term Exposures to Different Photon Flux Densities. , 1985, Plant physiology.

[16]  R. Leuning A critical appraisal of a combined stomatal‐photosynthesis model for C3 plants , 1995 .

[17]  J. Deardorff,et al.  Preliminary Results from Numerical Integrations of the Unstable Planetary Boundary Layer , 1970 .

[18]  K. G. McNaughton,et al.  Effects of spatial scale on stomatal control of transpiration , 1991 .

[19]  G. Collatz,et al.  Physiological and environmental regulation of stomatal conductance, photosynthesis and transpiration: a model that includes a laminar boundary layer , 1991 .

[20]  U. Schumann,et al.  Numerical simulation of turbulent convection over wavy terrain , 1992, Journal of Fluid Mechanics.

[21]  J. Deardorff Convective Velocity and Temperature Scales for the Unstable Planetary Boundary Layer and for Rayleigh Convection , 1970 .

[22]  I. R. Cowan,et al.  Stomatal function in relation to leaf metabolism and environment. , 1977, Symposia of the Society for Experimental Biology.

[23]  B. Hicks,et al.  The Forest-Atmosphere Interaction , 1985 .

[24]  C. Moeng A Large-Eddy-Simulation Model for the Study of Planetary Boundary-Layer Turbulence , 1984 .

[25]  G. Katul,et al.  Modeling CO2 sources, sinks, and fluxes within a forest canopy , 1999 .

[26]  Marc B. Parlange,et al.  Natural integration of scalar fluxes from complex terrain , 1999 .

[27]  I. E. Woodrow,et al.  A Model Predicting Stomatal Conductance and its Contribution to the Control of Photosynthesis under Different Environmental Conditions , 1987 .

[28]  G. Katul An Investigation of Higher-Order Closure Models for a Forested Canopy , 1998, Boundary-Layer Meteorology.

[29]  Ulrich Schumann,et al.  Large-eddy simulation of turbulent flow above and within a forest , 1992 .

[30]  G. Campbell,et al.  An Introduction to Environmental Biophysics , 1977 .

[31]  P. De Angelis,et al.  Effects of elevated (CO2) on photosynthesis in European forest species: a meta-analysis of model parameters , 1999 .

[32]  W. Kustas,et al.  Interactions between regional surface fluxes and the atmospheric boundary layer over a heterogeneous watershed , 1994 .

[33]  A. Thom,et al.  Turbulence in and above Plant Canopies , 1981 .

[34]  Roni Avissar,et al.  Scaling of land-atmosphere interactions: An atmospheric modelling perspective , 1995 .

[35]  D. F. Parkhurst,et al.  Stomatal responses to humidity in air and helox , 1991 .

[36]  Mark A. Friedl,et al.  Parameterization of shortwave radiation fluxes for nonuniform vegetation canopies in land surface models , 2001 .

[37]  Chin-Hoh Moeng,et al.  The Effects of Nonhomogeneous Surface Fluxes on the Convective Boundary Layer: A Case Study Using Large-Eddy Simulation. , 1990 .

[38]  W. Steffen,et al.  Flow and transport in the natural environment , 1987 .

[39]  Roni Avissar,et al.  An Evaluation of the Scale at which Ground-Surface Heat Flux Patchiness Affects the Convective Boundary Layer Using Large-Eddy Simulations , 1998 .

[40]  Joel H. Ferziger,et al.  Large eddy simulation of incompressible turbulent channel flow , 1978 .

[41]  K. G. McNaughton,et al.  Stomatal Control of Transpiration: Scaling Up from Leaf to Region , 1986 .

[42]  K. Mott,et al.  Do Stomata Respond to CO(2) Concentrations Other than Intercellular? , 1988, Plant physiology.

[43]  G. Katul,et al.  Modelling Vegetation-Atmosphere Co2 Exchange By A Coupled Eulerian-Langrangian Approach , 2000 .

[44]  Arana,et al.  Progress in Photosynthesis Research , 1987, Springer Netherlands.

[45]  D. Ellsworth CO2 enrichment in a maturing pine forest: are CO2 exchange and water status in the canopy affected? , 1999 .

[46]  J. O'Brien,et al.  A Note on the Vertical Structure of the Eddy Exchange Coefficient in the Planetary Boundary Layer , 1970 .

[47]  M. J. Dwyer,et al.  Turbulent kinetic energy budgets from a large-eddy simulation of airflow above and within a forest canopy , 1997 .

[48]  Graham D. Farquhar,et al.  Modelling of Photosynthetic Response to Environmental Conditions , 1982 .

[49]  Wilfried Brutsaert,et al.  Evaporation into the atmosphere : theory, history, and applications , 1982 .

[50]  M. Parlange,et al.  Surface length scales and shear stress: Implications for land‐atmosphere interaction over complex terrain , 1999 .

[51]  Monique Y. Leclerc,et al.  How large must surface inhomogeneities be before they influence the convective boundary layer structure? A case study , 1995 .

[52]  G. Katul,et al.  Modelling assimilation and intercellular CO2 from measured conductance: a synthesis of approaches , 2000 .