Abstract
We used a simple, systematic data-analytics approach to determine the relative linkages of different climate and environmental variables with the canopy-level, half-hourly CO2 fluxes of US deciduous forests. Multivariate pattern recognition techniques of principal component and factor analyses were utilized to classify and group climatic, environmental, and ecological variables based on their similarity as drivers, examining their interrelation patterns at different sites. Explanatory partial least squares regression models were developed to estimate the relative linkages of CO2 fluxes with the climatic and environmental variables. Three biophysical process components adequately described the system-data variances. The ‘radiation-energy’ component had the strongest linkage with CO2 fluxes, whereas the ‘aerodynamic’ and ‘temperature-hydrology’ components were low to moderately linked with the carbon fluxes. On average, the ‘radiation-energy’ component showed 5 and 8 times stronger carbon flux linkages than that of the ‘temperature-hydrology’ and ‘aerodynamic’ components, respectively. The similarity of observed patterns among different study sites (representing gradients in climate, canopy heights and soil-formations) indicates that the findings are potentially transferable to other deciduous forests. The similarities also highlight the scope of developing parsimonious data-driven models to predict the potential sequestration of ecosystem carbon under a changing climate and environment. The presented data-analytics provides an objective, empirical foundation to obtain crucial mechanistic insights; complementing process-based model building with a warranted complexity. Model efficiency and accuracy (R 2 = 0.55–0.81; ratio of root-mean-square error to the observed standard deviations, RSR = 0.44–0.67) reiterate the usefulness of multivariate analytics models for gap-filling of instantaneous flux data.
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References
Akaike H (1974) A new look at the statistical model identification. IEEE Trans Automat Contr 19(6):716–723
Aubinet M, Grelle A, Ibrom A et al (1999) Estimates of the annual net carbon and water exchange of forests: the EUROFLUX methodology. Adv Ecol Res 30:113–175
Baker I, Denning AS, Hanan N et al (2003) Simulated and observed fluxes of sensible and latent heat and CO2 at the WLEF-TV tower using SiB2.5. Glob Chang Biol 9(9):1262–1277
Baldocchi DD (2003) Assessing the eddy covariance technique for evaluating carbon dioxide exchange rates of ecosystems: past, present and future. Glob Chang Biol 9(4):479–492
Baldocchi DD, Meyers T (1998) On using eco-physiological, micrometeorological and biogeochemical theory to evaluate carbon dioxide, water vapor and trace gas fluxes over vegetation: a perspective. Agric For Meteorol 90(1–2):1–25
Baldocchi DD, Falge E, Gu L et al (2001) FLUXNET: a new tool to study the temporal and spatial variability of ecosystem-scale carbon dioxide, water vapor, and energy flux densities. Bull Am Meteorol Soc 82(11):2415–2434
Barr AG, Black TA, Hogg EH, Kljun N, Morgenstern K, Nesic Z (2004) Inter-annual variability in the leaf area index of a boreal aspen-hazelnut forest in relation to net ecosystem production. Agric For Meteorol 126(3):237–255
Beer C, Reichstein M, Tomelleri E et al (2010) Terrestrial gross carbon dioxide uptake: global distribution and covariation with climate. Science 329:834–838
Braswell BH, Sacks WJ, Linder E, Schimel DS (2005) Estimating diurnal to annual ecosystem parameters by synthesis of a carbon flux model with eddy covariance net ecosystem exchange observations. Glob Chang Biol 11(2):335–355
Byrne KA, Kiely G, Leahy P (2005) CO2 fluxes in adjacent new and permanent temperate grasslands. Agric For Meteorol 135(1):82–92
Cao M, Woodward FI (1998) Dynamic responses of terrestrial ecosystem carbon cycling to global climate change. Nature 393(6682):249–252
Carrara A, Kowalski AS, Neirynck J, Janssens IA, Yuste JC, Ceulemans R (2003) Net ecosystem CO2 exchange of mixed forest in Belgium over 5 years. Agric For Meteorol 119(3):209–227
Carvalhais N, Seixas J, Myneni R (2005) Modeling net ecosystem productivity scale issues and regional application to the Iberian Peninsula. In: Seventh international carbon dioxide conference (ICDC7) September 25–30
Chen M, Zhuang Q, Cook DR et al (2011) Quantification of terrestrial ecosystem carbon dynamics in the conterminous United States combining a process-based biogeochemical model and MODIS and AmeriFlux data. Biogeosci Discuss 8(2):2721–2773
Chong IG, Jun CH (2005) Performance of some variable selection methods when multicollinearity is present. Chemometr Intell Lab Syst 78(1):103–112
de Jong S (1993) SIMPLS: an alternative approach to partial least squares regression. Chemometr Intell Lab Syst 18(3):251–263
Desai AR (2010) Climatic and phenological controls on coherent regional interannual variability of carbon dioxide flux in a heterogeneous landscape. J Geophys Res. doi:10.1029/2010JG001423
Dragon K (2006) Application of factor analysis to study contamination of a semi-confined aquifer (Wielkopolska Buried Valley aquifer, Poland). J Hydrol 331(1):272–279
Drake BG, Azcon-Bieto J, Berry J et al (1999) Does elevated atmospheric CO2 concentration inhibit mitochondrial respiration in green plants? Plant Cell Environ 22(6):649–657
Falge E, Baldocchi D, Olson R et al (2001) Gap filling strategies for long term energy flux data sets. Agric For Meteorol 107(1):71–77
Fuentes JD, Wang D (1999) On the seasonality of isoprene emissions from a mixed temperate forest. Ecol Appl 9(4):1118–1131
Geider RJ, Delucia EH, Falkowski PG et al (2001) Primary productivity of planet earth: biological determinants and physical constraints in terrestrial and aquatic habitats. Glob Chang Biol 7(8):849–882
Gilmanov TG, Parton WJ, Ojima DS (1997) Testing the ‘CENTURY’ ecosystem level model on data sets from eight grassland sites in the former USSR representing a wide climatic/soil gradient. Ecol Modell 96(1):191–210
Gove JH, Holinger DY (2006) Application of a dual unscented Kalman filter for simultaneous state and parameter estimation in problems of surface-atmospheric exchange. J Geophys Res Atmos 111:1–21
Grant RF, Baldocchi DD, Ma S (2012) Ecological controls on net ecosystem productivity of a seasonally dry annual grassland under current and future climates: modelling with ecosys. Agric For Meteorol 152:189–200
Hargrove WW, Hoffman FM (2005) Potential of multivariate quantitative methods for delineation and visualization of ecoregions. Environ Manage 34(1):S39–S60
Haworth M, Elliott-Kingston C, McElwain JC (2011) Stomatal control as a driver of plant evolution. J Exp Bot 62(8):2419–2423
Heber U, Neimanis S, Lange OL (1986) Stomatal aperture, photosynthesis and water fluxes in mesophyll cells as affected by the abscission of leaves. Simultaneous measurements of gas exchange, light scattering and chlorphyll fluorescence. Planta 167(4):554–562
Heimann M, Reichstein M (2008) Terrestrial ecosystem carbon dynamics and climate feedbacks. Nature 451(7176):289–292
Hollinger DY, Aber J, Dail B et al (2004) Spatial and temporal variability in forest–atmosphere CO2 exchange. Glob Chang Biol 10(10):1689–1706
Hubert M, Branden KV (2003) Robust methods for partial least squares regression. J Chemom 17(10):537–549
Hui D, Wan S, Su B, Katul G, Monson R, Luo Y (2004) Gap-filling missing data in eddy covariance measurements using multiple imputation (MI) for annual estimations. Agric For Meteorol 121(1):93–111
Jahan N, Gan TY (2013) Developing a gross primary production model for coniferous forests of northeastern USA from MODIS data. Int J Appl Earth Obs Geoinf 25:11–20
Jarvis PG, Massheder JM, Hale SE, Moncrieff JB, Rayment M, Scott SL (1997) Seasonal variation of carbon dioxide, water vapor, and energy exchanges of a boreal black spruce forest. J Geophys Res Atmos (1984–2012) 102(D24):28953–28966
Jolliffe IT (1993) Principal component analysis: a beginner’s guide-II. Pitfalls, myths and extensions. Weather 48(8):246–253
Jung M, Reichstein M, Margolis HA et al (2011) Global patterns of land‐atmosphere fluxes of carbon dioxide, latent heat, and sensible heat derived from eddy covariance, satellite, and meteorological observations. J Geophys Res. doi:10.1029/2010JG001566
Keenan T, Maria Serra J, Lloret F, Ninyerola M, Sabate S (2011) Predicting the future of forests in the Mediterranean under climate change, with niche-and process-based models: CO2 matters! Glob Chang Biol 17(1):565–579
Keenan TF, Davidson E, Moffat AM, Munger W, Richardson AD (2012) Using model-data fusion to interpret past trends, and quantify uncertainties in future projections, of terrestrial ecosystem carbon cycling. Glob Chang Biol 18(8):2555–2569
Kuhn M, Johnson K (2013) Applied predictive modeling. Springer, New York
Larocque GR, Mailly D, Yue TX et al (2011) Common challenges for ecological modelling: synthesis of facilitated discussions held at the symposia organized for the 2009 conference of the International Society for Ecological Modelling in Quebec City, Canada, (October 6–9, 2009). Ecol Modell 222(14):2456–2468
Launiainen S, Rinne J, Pumpanen J et al (2005) Eddy covariance measurements of CO2 and sensible and latent fluxes during a full year in a boreal pine forest trunk-space. Boreal Environ Res 10(6):569–588
Li Z, Yu G, Xiao X et al (2007) Modeling gross primary production of alpine ecosystems in the Tibetan Plateau using MODIS images and climate data. Remote Sens Environ 107(3):510–519
Liu CW, Lin KH, Kuo YM (2003) Science Application of factor analysis in the assessment of groundwater quality in a blackfoot disease area in Taiwan. Sci Total Environ 313(1):77–89
Lloyd J, Taylor JA (1994) On the temperature dependence of soil respiration. Funct Ecol 8:315–323
Loescher HW, Oberbauer SF, Gholz HL, Clark DB (2003) Environmental controls on net ecosystem-level carbon exchange and productivity in a Central American tropical wet forest. Glob Chang Biol 9(3):396–412
Lund M, Lafleur PM, Roulet NT et al (2010) Variability in exchange of CO2 across 12 northern peatland and tundra sites. Glob Chang Biol 16(9):2436–2448
Mahbub P, Ayoko GA, Goonetilleke A, Egodawatta P, Kokot S (2010) Impacts of traffic and rainfall characteristics on heavy metals build-up and wash-off from urban roads. Environ Sci Technol 44(23):8904–8910
Mäkelä A, Pulkkinen M, Kolari P et al (2008) Developing an empirical model of stand GPP with the LUE approach: analysis of eddy covariance data at five contrasting conifer sites in Europe. Glob Chang Biol 14(1):92–108
Masle J (2000) The effects of elevated CO2 concentrations on cell division rates, growth patterns, and blade anatomy in young wheat plants are modulated by factors related to leaf position, vernalization, and genotype. Plant Physiol 122(4):1399–1416
Melesse AM, Hanley RS (2005) Artificial neural network application for multi-ecosystem carbon flux simulation. Ecol Modell 189(3):305–314
Moorcroft PR, Hurtt GC, Pacala SW (2001) A method for scaling vegetation dynamics: the ecosystem demography model (ED). Ecol Monogr 71(4):557–586
Morales P, Sykes MT, Prentice IC (2005) Comparing and evaluating process-based ecosystem model predictions of carbon and water fluxes in major European forest biomes. Glob Chang Biol 11(12):2211–2233
Moriasi DN, Arnold JG, Van Liew MW, Bingner RL, Harmel RD, Veith TL (2007) Model evaluation guidelines for systematic quantification of accuracy in watershed simulations. Am Soc Agric Biol Eng 50(3):885–900
Oechel WC, Vourlitis GL, Verfaillie J et al (2000) A scaling approach for quantifying the net CO2 flux of the Kuparuk River Basin, Alaska. Glob Chang Biol 6(S1):160–173
Panda UC, Sundaray SK, Rath P, Nayak BB, Bhatta D (2006) Application of factor and cluster analysis for characterization of river and estuarine water systems—a case study: Mahanadi River (India). J Hydrol 331(3):434–445
Peres-Neto PR, Jackson DA, Somers KM (2003) Giving meaningful interpretation to ordination axes: assessing loading significance in principal component analysis. Ecology 84(9):2347–2363
Piao S, Sitch S, Ciais P et al (2013) Evaluation of terrestrial carbon cycle models for their response to climate variability and to CO2 trends. Glob Chang Biol 19:2117–2132
Post WM, Pastor J (1996) Linkages—an individual-based forest ecosystem model. Clim Change 34(2):253–261
Richardson AD, Braswell BH, Hollinger DY et al (2006) Comparing simple respiration models for eddy flux and dynamic chamber data. Agric For Meteorol 141(2):219–234
Running SW, Coughlan JC (1988) A general model of forest ecosystem processes for regional applications I. Hydrologic balance, canopy gas exchange and primary production processes. Ecol Modell 42(2):125–154
Running SW, Gower ST (1991) FOREST-BGC, a general model of forest ecosystem processes for regional applications. II. Dynamic carbon allocation and nitrogen budgets. Tree Physiol 9(1–2):147–160
Schimel DS, House JI, Hibbard KA et al (2001) Recent patterns and mechanisms of carbon exchange by terrestrial ecosystems. Nature 414(6860):169–172
Schlesinger WH (1999) Carbon sequestration in soils. Science 284(5423):2095
Schmidt A, Hanson C, Kathilankal J, Law BE (2011) Classification and assessment of turbulent fluxes above ecosystems in North-America with self-organizing feature map networks. Agric For Meteorol 151(4):508–520
Schmidt A, Hanson C, Chan WS, Law BE (2012) Empirical assessment of uncertainties of meteorological parameters and turbulent fluxes in the AmeriFlux network. J Geophys Res. doi:10.1029/2012JG002100
Schubert P, Lagergren F, Aurela M et al (2012) Modeling GPP in the Nordic forest landscape with MODIS time series data—comparison with the MODIS GPP product. Remote Sens Environ 126:136–147
Sellers PJ, Dickinson RE, Randall DA et al (1997) Modeling the exchanges of energy, water, and carbon between continents and the atmosphere. Science 275(5299):502–509
Shir CC, Bornstein RD (1977) Eddy exchange coefficients in numerical models of the planetary boundary layer. Bound Layer Meteorol 11(2):171–185
Sims DA, Rahman AF, Cordova VD et al (2008) A new model of gross primary productivity for North American ecosystems based solely on the enhanced vegetation index and land surface temperature from MODIS. Remote Sens Environ 112(4):1633–1646
Stauch VJ, Jarvis AJ (2006) A semi-parametric gap-filling model for eddy covariance CO2 flux time series data. Glob Chang Biol 12(9):1707–1716
Turner DP, Ritts WD, Styles JM, Yang Z, Cohen WB, Law BE, Thornton PE (2006) A diagnostic carbon flux model to monitor the effects of disturbance and interannual variation in climate on regional NEP. Tellus B 58(5):476–490
White A, Cannell MG, Friend AD (1999) Climate change impacts on ecosystems and the terrestrial carbon sink: a new assessment. Glob Environ Change 9:S21–S30
Williams M, Richardson AD, Reichstein M et al (2009) Improving land surface models with FLUXNET data. Biogeosci Discuss 6(2):2785–2835
Wilson K, Goldstein A, Falge E et al (2002) Energy balance closure at FLUXNET sites. Agric For Meteorol 113(1):223–243
Wold H (1966) Estimation of principal components and related models by iterative least squares. In: Krishnaiah PR (ed) Multivaraite analysis. Academic Press, New York, pp 391–420
Wold H (1982) Soft modelling: the basic design and some extensions. In: Jöreskog KG, Wold H (eds) Systems under indirect observation, part II. North Holland Press, Amsterdam
Wold S, Johansson M, Cocchi M (1993) PLS-partial least squares projections to latent structures. In: Kubinyi H (ed) 3D QSAR in drug design, vol 1. Kluwer Academic Publishers, Netherlands, pp 523–550
Wold S, Sjöström M, Eriksson L (2001) PLS-regression: a basic tool of chemometrics. Chemometr Intell Lab Syst 58(2):109–130
Wu C, Chen JM (2013) Deriving a new phenological indicator of interannual net carbon exchange in contrasting boreal deciduous and evergreen forests. Ecol Indic 24:113–119
Wylie BK, Fosnight EA, Gilmanov TG, Frank AB, Morgan JA, Haferkamp MR, Meyers TP (2007) Adaptive data-driven models for estimating carbon fluxes in the Northern Great Plains. Remote Sens Environ 106(4):399–413
Xu L, Baldocchi DD (2004) Seasonal variation in carbon dioxide exchange over a Mediterranean annual grassland in California. Agric For Meteorol 123(1):79–96
Zhang Y, Grant RF, Flanagan LB, Wang S, Verseghy DL (2005) Modelling CO2 and energy exchanges in a northern semiarid grassland using the carbon-and nitrogen-coupled Canadian Land Surface Scheme (C-CLASS). Ecol Modell 181(4):591–596
Acknowledgments
The research was funded by grants from the National Science Foundation's Environmental Sustainability Program (NSF CBET Award No. 1336911), and from the National Oceanic and Atmospheric Administration (NOAA NERRA Grant No. NA09NOS4190153). The supports are gratefully acknowledged. We also acknowledge the availability and usefulness of AmeriFLUX database, as funded by the US Department of Energy's Office of Science. The statements, findings, conclusions, and recommendations are those of the authors and do not necessarily reflect the views of NSF or NOAA. Thanks to the reviewers and the Editor for providing insightful comments.
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Ishtiaq, K.S., Abdul-Aziz, O.I. Relative Linkages of Canopy-Level CO2 Fluxes with the Climatic and Environmental Variables for US Deciduous Forests. Environmental Management 55, 943–960 (2015). https://doi.org/10.1007/s00267-014-0437-1
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DOI: https://doi.org/10.1007/s00267-014-0437-1