Validation of 3D-CMCC Forest Ecosystem Model (v.5.1) against eddy covariance data for 10 European forest sites

Abstract. This study evaluates the performances of the new version (v.5.1) of 3D-CMCC Forest Ecosystem Model (FEM) in simulating gross primary productivity (GPP), against eddy covariance GPP data for 10 FLUXNET forest sites across Europe. A new carbon allocation module, coupled with new both phenological and autotrophic respiration schemes, was implemented in this new daily version. Model ability in reproducing timing and magnitude of daily and monthly GPP fluctuations is validated at intra-annual and inter-annual scale, including extreme anomalous seasons. With the purpose to test the 3D-CMCC FEM applicability over Europe without a site-related calibration, the model has been deliberately parametrized with a single set of species-specific parametrizations for each forest ecosystem. The model consistently reproduces both in timing and in magnitude daily and monthly GPP variability across all sites, with the exception of the two Mediterranean sites. We find that 3D-CMCC FEM tends to better simulate the timing of inter-annual anomalies than their magnitude within measurements' uncertainty. In six of eight sites where data are available, the model well reproduces the 2003 summer drought event. Finally, for three sites we evaluate whether a more accurate representation of forest structural characteristics (i.e. cohorts, forest layers) and species composition can improve model results. In two of the three sites results reveal that model slightly increases its performances although, statistically speaking, not in a relevant way.

[1]  P. Ciais,et al.  Effect of climate and CO2 changes on the greening of the Northern Hemisphere over the past two decades , 2006 .

[2]  P. Cox,et al.  The Joint UK Land Environment Simulator (JULES), model description – Part 2: Carbon fluxes and vegetation dynamics , 2011 .

[3]  Philippe Ciais,et al.  Modeling climate change effects on the potential production of French plains forests at the sub-regional level. , 2005, Tree physiology.

[4]  I. Prentice,et al.  Reliable, robust and realistic: the three R's of next-generation land-surface modelling , 2014 .

[5]  B. Hurk,et al.  Effects of vegetation structure on biomass accumulation in a Balanced Optimality Structure Vegetation Model (BOSVM v1.0) , 2013 .

[6]  R. Betts,et al.  Plant functional type classification for earth system models: results from the European Space Agency's Land Cover Climate Change Initiative , 2015 .

[7]  F. Chapin,et al.  Principles of Terrestrial Ecosystem Ecology , 2002, Springer New York.

[8]  Ben Bond-Lamberty,et al.  Reimplementation of the Biome-BGC model to simulate successional change. , 2005, Tree physiology.

[9]  Ari Nissinen,et al.  Evaluation of six process‐based forest growth models using eddy‐covariance measurements of CO2 and H2O fluxes at six forest sites in Europe , 2002 .

[10]  Christian Feigenwinter,et al.  A new mass conservation approach to the study of CO2 advection in an alpine forest , 2009 .

[11]  Mitchell,et al.  Foliar temperature-respiration response functions for broad-leaved tree species in the southern Appalachians. , 1999, Tree physiology.

[12]  P. C. Smits,et al.  A Model-Based Approach for the Estimation of Carbon Sinks in European Forests , 2003 .

[13]  Peter E. Thornton,et al.  Parameterization and Sensitivity Analysis of the BIOME–BGC Terrestrial Ecosystem Model: Net Primary Production Controls , 2000 .

[14]  Peter D. Blanken,et al.  Partitioning forest carbon fluxes with overstory and understory eddy-covariance measurements: A synthesis based on FLUXNET data , 2007 .

[15]  S. Los,et al.  A comprehensive set of benchmark tests for a land surface model of simultaneous fluxes of water and carbon at both the global and seasonal scale , 2010 .

[16]  Joris Van den Bossche,et al.  Can decision rules simulate carbon allocation for years with contrasting and extreme weather conditions? A case study for three temperate beech forests , 2013 .

[17]  P. Ciais,et al.  How errors on meteorological variables impact simulated ecosystem fluxes: a case study for six French sites , 2011 .

[18]  Wen-Hsiung Liu,et al.  With Parameter Uncertainties , 2003 .

[19]  Wolfgang Cramer,et al.  An introduction to the European Terrestrial Ecosystem Modelling Activity , 2008 .

[20]  M. Williams,et al.  Multi-site evaluation of the JULES land surface model using global and local data , 2014 .

[21]  M. Vitale,et al.  Modelling leaf gas exchanges to predict functional trends in Mediterranean Quercus Ilex forest under climatic changes in temperature , 2003 .

[22]  J. Dozier,et al.  Climate and energy exchange at the snow surface in the Alpine Region of the Sierra Nevada: 1. Meteorological measurements and monitoring , 1992 .

[23]  R. Waring,et al.  A generalised model of forest productivity using simplified concepts of radiation-use efficiency, carbon balance and partitioning , 1997 .

[24]  Karl E. Taylor,et al.  An overview of CMIP5 and the experiment design , 2012 .

[25]  Damiano Gianelle,et al.  A user-friendly forest model with a multiplicative mathematical structure: a Bayesian approach to calibration , 2014 .

[26]  Benjamin Smith,et al.  Parameter uncertainties in the modelling of vegetation dynamics — effects on tree community structure and ecosystem functioning in European forest biomes , 2008 .

[27]  Nadine Gobron,et al.  Influence of physiological phenology on the seasonal pattern of ecosystem respiration in deciduous forests , 2015, Global change biology.

[28]  T. W. Davis,et al.  Biophsyical constraints on gross primary production by the terrestrial biosphere , 2014 .

[29]  Oleg Panferov,et al.  Variation in photosynthetic light-use efficiency in a mountainous tropical rain forest in Indonesia. , 2008, Tree physiology.

[30]  S. Seneviratne,et al.  Global Convergence in the Temperature Sensitivity of Respiration at Ecosystem Level , 2010, Science.

[31]  R. Valentini,et al.  Climate change impacts on vegetation and water cycle in the Euro-Mediterranean region, studied by a likelihood approach , 2014, Regional Environmental Change.

[32]  Markus Reichstein,et al.  Evidence for soil water control on carbon and water dynamics in European forests during the extremely dry year: 2003 , 2007 .

[33]  Alan R. Ek,et al.  Process-based models for forest ecosystem management: current state of the art and challenges for practical implementation. , 2000, Tree physiology.

[34]  D. Whitehead,et al.  Leaf dark respiration as a function of canopy position in Nothofagus fusca trees grown at ambient and elevated CO2 partial pressures for 5 years , 2001 .

[35]  P. Ciais,et al.  Europe-wide reduction in primary productivity caused by the heat and drought in 2003 , 2005, Nature.

[36]  P. Ciais,et al.  Influence of spring and autumn phenological transitions on forest ecosystem productivity , 2010, Philosophical Transactions of the Royal Society B: Biological Sciences.

[37]  Atul K. Jain,et al.  Impact of large‐scale climate extremes on biospheric carbon fluxes: An intercomparison based on MsTMIP data , 2013 .

[38]  T. Spies,et al.  An Individual-Based Process Model to Simulate Landscape-Scale Forest Ecosystem Dynamics , 2012 .

[39]  Olaf Kolle,et al.  Large carbon uptake by an unmanaged 250-year-old deciduous forest in Central Germany , 2002 .

[40]  Joe Landsberg,et al.  Physiological ecology of forest production , 1986 .

[41]  R. Schnur,et al.  Climate-carbon cycle feedback analysis: Results from the C , 2006 .

[42]  C. Schmullius,et al.  Effects of soil freezing and thawing on vegetation carbon density in Siberia: A modeling analysis with the Lund‐Potsdam‐Jena Dynamic Global Vegetation Model (LPJ‐DGVM) , 2007 .

[43]  B. Poulter,et al.  Evaluating the potential of large-scale simulations to predict carbon fluxes of terrestrial ecosystems over a European Eddy Covariance network , 2013 .

[44]  Yanlian Zhou,et al.  Development of a two-leaf light use efficiency model for improving the calculation of terrestrial gross primary productivity , 2013 .

[45]  Niels Otto Jensen,et al.  Increasing net CO2 uptake by a Danish beech forest during the period from 1996 to 2009 , 2011 .

[46]  Benjamin Poulter,et al.  Modeling the Sensitivity of the Seasonal Cycle of GPP to Dynamic LAI and Soil Depths in Tropical Rainforests , 2009, Ecosystems.

[47]  T. Vesala,et al.  Towards a standardized processing of Net Ecosystem Exchange measured with eddy covariance technique: algorithms and uncertainty estimation , 2006 .

[48]  J. Berry,et al.  A biochemical model of photosynthetic CO2 assimilation in leaves of C3 species , 1980, Planta.

[49]  G. Bonan.  and the Climate Benefits of Forests Forests and Climate Change: Forcings, Feedbacks, , 2008 .

[50]  David Medvigy,et al.  Predicting changes in temperate forest budburst using continental‐scale observations and models , 2013 .

[51]  David J. Hicks,et al.  The Ecology of Leaf Life Spans , 1982 .

[52]  P. Ciais,et al.  Analyzing the causes and spatial pattern of the European 2003 carbon flux anomaly in Europe using seven models , 2007 .

[53]  M. Williams,et al.  Net primary production of forests: a constant fraction of gross primary production? , 1998, Tree physiology.

[54]  J. Monteith.  Evaporation and environment. , 1965, Symposia of the Society for Experimental Biology.

[55]  R. Colwell.  Remote sensing of the environment , 1980, Nature.

[56]  J. Neirynck,et al.  Biometric and eddy covariance-based assessment of decadal carbon sequestration of a temperate Scots pine forest , 2013 .

[57]  D. Lawrence,et al.  Parameterization improvements and functional and structural advances in Version 4 of the Community Land Model , 2011 .

[58]  Markus Reichstein,et al.  Analyzing the causes and spatial pattern of the European 2003 carbon flux anomaly using seven models , 2007 .

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

[60]  Steven W. Running,et al.  A daily soil temperature model based on air temperature and precipitation for continental applications , 1993 .

[61]  T. Kira,et al.  A QUANTITATIVE ANALYSIS OF PLANT FORM-THE PIPE MODEL THEORY : II. FURTHER EVIDENCE OF THE THEORY AND ITS APPLICATION IN FOREST ECOLOGY , 1964 .

[62]  Claus Beier,et al.  Modelling the decadal trend of ecosystem carbon fluxes demonstrates the important role of functional changes in a temperate deciduous forest , 2013 .

[63]  Eero Nikinmaa,et al.  Developing an empirical model of stand GPP with the LUE approach: analysis of eddy covariance data at five contrasting conifer sites in Europe , 2007 .

[64]  Damian Barrett,et al.  Conversion of canopy intercepted radiation to photosynthate: review of modelling approaches for regional scales. , 2003, Functional plant biology : FPB.

[65]  Raphaël Martin,et al.  Incorporating grassland management in ORCHIDEE: model description and evaluation at 11 eddy-covariance sites in Europe , 2013 .

[66]  Andreas Colliander,et al.  Calibration and Validation , 2014, Encyclopedia of Remote Sensing.

[67]  Andreas Richter,et al.  The boundless carbon cycle , 2009 .

[68]  G. Matteucci,et al.  Seasonal and inter-annual dynamics of growth, non-structural carbohydrates and C stable isotopes in a Mediterranean beech forest. , 2013, Tree physiology.

[69]  N. Vuichard,et al.  A validation of heat and carbon fluxes from high-resolution land surface and regional models , 2010 .

[70]  Chris Jones,et al.  Illuminating the Modern Dance of Climate and CO2 , 2008, Science.

[71]  N. McDowell,et al.  Use of a physiological process model with forestry yield tables to set limits on annual carbon balances. , 2002, Tree physiology.

[72]  Peter E. Thornton,et al.  Simulating forest productivity and surface-atmosphere carbon exchange in the BOREAS study region. , 1997, Tree physiology.

[73]  Niklaus E. Zimmermann,et al.  Divergent vegetation growth responses to the 2003 heat wave in the Swiss Alps , 2005 .

[74]  T. Kira,et al.  A QUANTITATIVE ANALYSIS OF PLANT FORM-THE PIPE MODEL THEORY : I.BASIC ANALYSES , 1964 .

[75]  A. Granier,et al.  Modelling carbon and water cycles in a beech forest: Part I: Model description and uncertainty analysis on modelled NEE , 2005 .

[76]  R. Kobe,et al.  Intraspecific Variation in Sapling Mortality and Growth Predicts Geographic Variation in Forest Composition , 1996 .

[77]  Markus Reichstein,et al.  Ecosystem respiration in two Mediterranean evergreen Holm Oak forests: drought effects and decomposition dynamics , 2002 .

[78]  K. Eckhardt,et al.  Plant parameter values for models in temperate climates , 2003 .

[79]  M. Lomas,et al.  Evaluation of terrestrial carbon cycle models for their response to climate variability and to CO2 trends , 2013, Global change biology.

[80]  D. Dragoni,et al.  Whole-ecosystem labile carbon production in a north temperate deciduous forest , 2008 .

[81]  Ü. Rannik,et al.  Estimates of the annual net carbon and water exchange of forests: the EUROFLUX methodology , 2000 .

[82]  M. G. Ryan,et al.  Effects of Climate Change on Plant Respiration. , 1991, Ecological applications : a publication of the Ecological Society of America.

[83]  Stefan Erasmi,et al.  Effects of canopy photosynthesis saturation on the estimation of gross primary productivity from MODIS data in a tropical forest , 2012 .

[84]  E. Wood,et al.  Bias correction of monthly precipitation and temperature fields from Intergovernmental Panel on Climate Change AR4 models using equidistant quantile matching , 2010 .

[85]  E. Ögren.  Maintenance respiration correlates with sugar but not nitrogen concentration in dormant plants , 2000 .

[86]  S. Running,et al.  A general model of forest ecosystem processes for regional applications I. Hydrologic balance, canopy gas exchange and primary production processes , 1988 .

[87]  Steven W. Running,et al.  A General Model of Forest Ecosystem Processes for Regional Applications I-Hydrolgical Balance , 1988 .

[88]  Jerry Y. Pan,et al.  Intercomparison of MODIS albedo retrievals and in situ measurements across the global FLUXNET network , 2012 .

[89]  Chris D. Jones,et al.  On the significance of atmospheric CO2 growth rate anomalies in 2002–2003 , 2005 .

[90]  Benguela Ninos,et al.  Interannual Variability in the , 2010 .

[91]  J. Monteith.  Climate and the efficiency of crop production in Britain , 1977 .

[92]  Philippe Ciais,et al.  Terrestrial biosphere model performance for inter‐annual variability of land‐atmosphere CO2 exchange , 2012 .

[93]  A. Gonsamo,et al.  A two‐leaf rectangular hyperbolic model for estimating GPP across vegetation types and climate conditions , 2014 .

[94]  Hans Pretzsch,et al.  A vertically discretised canopy description for ORCHIDEE (SVN r2290) and the modifications to the energy, water and carbon fluxes , 2014 .

[95]  E. Schulze,et al.  Leaf nitrogen, photosynthesis, conductance and transpiration : scaling from leaves to canopies , 1995 .

[96]  Eero Nikinmaa,et al.  Forest floor vegetation plays an important role in photosynthetic production of boreal forests , 2006 .

[97]  Richard D. Deveaux,et al.  Applied Smoothing Techniques for Data Analysis , 1999, Technometrics.

[98]  Christina Eisfelder,et al.  Quantifying the carbon uptake by vegetation for Europe on a 1 km 2 resolution using a remote sensing driven vegetation model , 2013 .

[99]  Jeff Dozier,et al.  Climate and energy exchange at the snow surface in the Alpine Region of the Sierra Nevada: 2. Snow cover energy balance , 1992 .

[100]  R. Birdsey,et al.  Spatial and temporal heterogeneity in the dynamics of eastern U.S. forests: Implications for developing broad-scale forest dynamics models , 2014 .

[101]  T. Dawson,et al.  Physiological Plant Ecology: Ecophysiology and Stress Physiology of Functional Groups.Walter Larcher , Joy Wieser , 1996 .

[102]  R. Grote,et al.  The timing of bud burst and its effect on tree growth , 2004, International journal of biometeorology.

[103]  Pete Smith,et al.  Europe's Terrestrial Biosphere Absorbs 7 to 12% of European Anthropogenic CO2 Emissions , 2003, Science.

[104]  Peter E. Thornton,et al.  BGC-model parameters for tree species growing in central European forests , 2005 .

[105]  R. Ceulemans,et al.  The carbon cost of fine root turnover in a Scots pine forest , 2002 .

[106]  D. Baldocchi,et al.  CO2 fluxes over plant canopies and solar radiation: a review , 1995 .

[107]  Tiina Markkanen,et al.  Air temperature triggers the recovery of evergreen boreal forest photosynthesis in spring , 2003 .

[108]  D. Dickmann,et al.  Photosynthesis by rapidly expanding green strobili of Pinus resinosa. , 1970, Life sciences. Pt. 2: Biochemistry, general and molecular biology.

[109]  K. Taylor.  Summarizing multiple aspects of model performance in a single diagram , 2001 .

[110]  N. Breda,et al.  Temperate forest trees and stands under severe drought: a review of ecophysiological responses, adaptation processes and long-term consequences , 2006 .

[111]  Scott V. Ollinger,et al.  Environmental variation is directly responsible for short‐ but not long‐term variation in forest‐atmosphere carbon exchange , 2007 .

[112]  Nate G. McDowell,et al.  Taking off the training wheels: the properties of a dynamic vegetation model without climate envelopes, CLM4.5(ED) , 2015 .

[113]  J. Randerson,et al.  An atmospheric perspective on North American carbon dioxide exchange: CarbonTracker , 2007, Proceedings of the National Academy of Sciences.

[114]  T. Vesala,et al.  On the separation of net ecosystem exchange into assimilation and ecosystem respiration: review and improved algorithm , 2005 .

[115]  P. Cox,et al.  Impact of changes in diffuse radiation on the global land carbon sink , 2009, Nature.

[116]  A. Arneth,et al.  From biota to chemistry and climate: towards a comprehensive description of trace gas exchange between the biosphere and atmosphere. , 2009 .

[117]  Eric Ceschia,et al.  The carbon balance of a young Beech forest , 2000 .

[118]  Peter B Reich,et al.  Predicting leaf physiology from simple plant and climate attributes: a global GLOPNET analysis. , 2007, Ecological applications : a publication of the Ecological Society of America.

[119]  D. Baldocchi,et al.  The human footprint in the carbon cycle of temperate and boreal forests − , 2008 .

[120]  F. Woodward,et al.  Terrestrial Gross Carbon Dioxide Uptake: Global Distribution and Covariation with Climate , 2010, Science.

[121]  P. Ciais,et al.  The European land and inland water CO2, CO, CH4 and N2O balance between 2001 and 2005 , 2012 .

[122]  T. Vesala,et al.  Deriving a light use efficiency model from eddy covariance flux data for predicting daily gross primary production across biomes , 2007 .

[123]  A. Ibrom,et al.  Transpiration of a mixed forest stand: field measurements and simulation using SVAT models , 2002 .

[124]  Yiqi Luo,et al.  Partitioning interannual variability in net ecosystem exchange between climatic variability and functional change. , 2003, Tree physiology.

[125]  D. Baldocchi.  Assessing the eddy covariance technique for evaluating carbon dioxide exchange rates of ecosystems: past, present and future , 2003 .

[126]  T. Sharkey,et al.  Stomatal conductance and photosynthesis , 1982 .

[127]  B. Hurk,et al.  Regional feedbacks under changing climate and land-use conditions , 2012 .

[128]  Lunche Wang,et al.  Comparison of Different GPP Models in China Using MODIS Image and ChinaFLUX Data , 2014, Remote. Sens..

[129]  Christian Bernhofer,et al.  A decade of carbon, water and energy flux measurements of an old spruce forest at the Anchor Station Tharandt , 2007 .

[130]  R. Schnur,et al.  Separation of the Effects of Land and Climate Model Errors on Simulated Contemporary Land Carbon Cycle Trends in the MPI Earth System Model version 1 , 2015 .

[131]  C. Field,et al.  Temporal evolution of the European forest sector carbon sink from 1950 to 1999 , 2003 .

[132]  H. Hasenauer,et al.  Ecohydrologic impact of reduced stomatal conductance in forests exposed to elevated CO2 , 2011 .

[133]  G. Bonan.  Forests and Climate Change: Forcings, Feedbacks, and the Climate Benefits of Forests , 2008, Science.

[134]  Victor M. Yakovenko,et al.  Temporal Evolution , 2005, Encyclopedia of Database Systems.

[135]  R. Ceulemans,et al.  Model analysis of the effects of atmospheric drivers on storage water use in Scots pine , 2007 .

[136]  S. Landhäusser.  Aspen shoots are carbon autonomous during bud break , 2011, Trees.

[137]  S. T. Gower,et al.  A cross‐biome comparison of daily light use efficiency for gross primary production , 2003 .

[138]  W. Oechel,et al.  Seasonality of ecosystem respiration and gross primary production as derived from FLUXNET measurements , 2001 .

[139]  Y. Xue,et al.  Terrestrial biosphere models need better representation of vegetation phenology: results from the North American Carbon Program Site Synthesis , 2012 .

[140]  Markus Reichstein,et al.  CO2 balance of boreal, temperate, and tropical forests derived from a global database , 2007 .

[141]  T. Andrew Black,et al.  Interannual variability of the carbon balance of three different‐aged Douglas‐fir stands in the Pacific Northwest , 2009 .

[142]  Giorgio Matteucci,et al.  A process-based model to simulate growth in forests with complex structure: Evaluation and use of 3D-CMCC Forest Ecosystem Model in a deciduous forest in Central Italy , 2014 .

[143]  Contributions of carbon cycle uncertainty to future climate projection spread , 2009 .

[144]  Eero Nikinmaa,et al.  Exceptional carbon uptake in European forests during the warm spring of 2007: a data–model analysis , 2009 .

[145]  Anabel Sánchez,et al.  Likely effects of climate change on growth of Quercus ilex, Pinus halepensis, Pinus pinaster, Pinus sylvestris and Fagus sylvatica forests in the Mediterranean region , 2002 .

[146]  Pierre Friedlingstein,et al.  Comparing and evaluating process‐based ecosystem model predictions of carbon and water fluxes in major European forest biomes , 2005, Global change biology.

[147]  Peter E. Thornton,et al.  An Improved Canopy Integration Scheme for a Land Surface Model with Prognostic Canopy Structure , 2007 .

[148]  Corinne Le Quéré,et al.  Carbon and Other Biogeochemical Cycles , 2014 .

[149]  P. Chesson.  Mechanisms of Maintenance of Species Diversity , 2000 .

[150]  Marcel Abendroth.  Physiological Plant Ecology Ecophysiology And Stress Physiology Of Functional Groups , 2016 .

[151]  Robert Clement,et al.  A comparative analysis of simulated and observed photosynthetic CO2 uptake in two coniferous forest canopies. , 2006, Tree physiology.

[152]  H. Mooney,et al.  Modeling the Exchanges of Energy, Water, and Carbon Between Continents and the Atmosphere , 1997, Science.

[153]  T. A. Black,et al.  Factors controlling the interannual variability in the carbon balance of a southern boreal black spruce forest , 2008 .

[154]  Andrew E. Suyker,et al.  Characterizing the performance of ecosystem models across time scales: A spectral analysis of the North American Carbon Program site-level synthesis , 2011, Journal of Geophysical Research.

[155]  Rüdiger Grote,et al.  Challenges for evaluating process-based models of gas exchange at forest sites with fetches of various species , 2011 .

[156]  G. Matteucci,et al.  Effect of environmental variables and stand structure on ecosystem respiration components in a Mediterranean beech forest. , 2013, Tree physiology.

[157]  Vivek K. Arora,et al.  A parameterization of leaf phenology for the terrestrial ecosystem component of climate models , 2005 .

[158]  Denis Loustau,et al.  Temperature response of parameters of a biochemically based model of photosynthesis. II. A review of experimental data , 2002 .

[159]  Janneke HilleRisLambers,et al.  High‐dimensional coexistence based on individual variation: a synthesis of evidence , 2010 .

[160]  N. Breda,et al.  Contrasting distribution and seasonal dynamics of carbohydrate reserves in stem wood of adult ring-porous sessile oak and diffuse-porous beech trees. , 2002, Tree physiology.

[161]  P. Duce,et al.  Assessing temporal variation of primary and ecosystem production in two Mediterranean forests using a modified 3-PG model , 2013, Annals of Forest Science.

[162]  Xiangming Xiao,et al.  Spatial analysis of growing season length control over net ecosystem exchange , 2005 .

[163]  T. Vesala,et al.  Advantages of diffuse radiation for terrestrial ecosystem productivity , 2002 .

[164]  R. Ceulemans,et al.  Calibration and validation of an empirical approach to model soil CO2 efflux in a deciduous forest , 2005 .

[165]  Martin T. Sykes,et al.  Climate Change Impacts: Vegetation , 2009 .

[166]  Yanlian Zhou,et al.  Performance of Linear and Nonlinear Two-Leaf Light Use Efficiency Models at Different Temporal Scales , 2015, Remote. Sens..

[167]  E. Davidson,et al.  On the variability of respiration in terrestrial ecosystems: moving beyond Q10 , 2006 .