Abstract
The Net Ecosystem Exchange describes the net carbon dioxide flux between an ecosystem and the atmosphere and is a key quantity in climate change studies and in political negotiations. This paper provides a spatio-temporal statistical framework, which is able to infer the Net Ecosystem Exchange from remotely-sensed carbon dioxide ground concentrations together with data on the Normalized Difference Vegetation Index, the Gross Primary Production and the land cover classification. The model is based on spatial and temporal latent random effects, that act as space–time varying coefficients, which allows for a flexible modeling of the spatio-temporal auto- and cross-correlation structure. The intra- and inter-annual variations of the Net Ecosystem Exchange are evaluated and dynamic maps are provided on a nearly global grid and in intervals of 16 days.
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Notes
Downloaded at http://glcf.umd.edu/data/lc/.
The coefficients for PW and NDVI have been pruned in the final model due to their insignificance.
Grid cells with missing data in the covariates have been removed.
The global average cross-validation RMSE was 0.67 and the prediction error computed as in Eq. (11) amounted to 0.38.
A map containing the locations of the measurement locations can be obtained at http://fluxnet.ornl.gov/maps-graphics.
References
Cressie N, Wikle CK (2002) Space-time Kalman filter. Encycl Environ 4:2045–2049
Cressie N, Wikle CK (2011) Statistics for spatio-temporal data. Wiley, New York
Cressie N, Shi T, Kang E (2010) Fixed rank filtering for spatio-temporal data. J Comput Graph Stat 19:724–745
Farrell BF, Ioannou PJ (2001) State estimation using a reduced-order Kalman filter. J Atmos Sci 58(23):3666–3680
Fassò A, Finazzi F (eds) (2010) Statistical mapping of air quality by remote sensing. In: Proceedings of the accuracy 2010 conference
Fassò A, Finazzi F (2011) Maximum likelihood estimation of the dynamic coregionalization model with heterotopic data. Environmetrics 22(6):735–748
Fassò A, Finazzi F (2013) A varying coefficients space–time model for ground and satellite air quality data over Europe. Statistica & Applicazioni Spec Issue 2013:45–56
Finazzi F, Fassò A (2014) D-STEM: a software for the analysis and mapping of environmental space-time variables. J Stat Softw 62(6):1–29
Frankenberg C, O’Dell C, Guanter L, McDuffie J (2012) Remote sensing of near-infrared chlorophyll fluorescence from space in scattering atmospheres: implications for its retrieval and interferences with atmospheric \({\rm CO}_{2}\) retrievals. Atmos Meas Tech 5(8):2081–2094
Furrer R, Genton MG, Nychka D (2006) Covariance tapering for interpolation of large spatial datasets. J Comput Graph Stat 15(3):502–523
González-Manteiga W, Crujeiras RM, Katzfuss M, Cressie N (2012) Bayesian hierarchical spatio-temporal smoothing for very large datasets. Environmetrics 23(1):94–107
Huete A, Justice C, van Leeuwen W (1999) MODIS vegetation index (MOD13) algorithm theoretical basis document. Tech. rep., NASA Goddard Space Flight Center
Ito A, Oikawa T (2004) Global mapping of terrestrial primary productivity and light-use efficiency with a process-based model. In: Shiyomi M, Kawahata H, Koizumi H, Tsuda A, Awaya Y (eds) Global environmental change in the ocean and on land. Terrapub, Tokyo, pp 343–358
Katzfuss M, Cressie N (2011) Spatio-temporal smoothing and EM estimation for massive remote-sensing data sets. J Time Ser Anal 32:430–446
Mardia KV, Goodall C, Redfern EJ, Alonso FJ (1998) The kriged Kalman filter. Test 7(2):217–282
O’Dell CW, Connor B, Bösch H, O’Brien D, Frankenberg C, Castano R, Christi M, Eldering D, Fisher B, Gunson M, McDuffie J, Miller CE, Natraj V, Oyafuso F, Polonsky I, Smyth M, Taylor T, Toon GC, Wennberg PO, Wunch D (2012) The ACOS \(CO_2\) retrieval algorithm part 1: description and validation against synthetic observations. Atmos Measur Technique 5(1):99–121
Osterman G, Eldering A, Avis C, O’Dell C, Martinez E, Crisp D, Frankenberg C, Fisher B, Wunch D (2013) ACOS Level 2 standard product data user’s guide, v.3.3. Tech. rep., Goddard Earth Science Data Information and Services Center (GES DISC)
Pan S, Tian H, Dangal SRS, Ouyang Z, Tao B, Ren W, Lu C, Running S (2014) Modeling and monitoring terrestrial primary production in a changing global environment: toward a multiscale synthesis of observation and simulation. Adv Meteorol 2014:965936. doi:10.1155/2014/965936
Peters W, Jacobson A, Sweeny C, Andrews A, Conway TJ, Masarie K, Miller JB, Bruhwiler LMP, Pétron G, Hirsch AI, Worthy D, van der Werd G, Randerson JT, Wennberg PO, Krol MC, Tans PP (2007) An atmospheric perspective on North American carbon dioxide exchange: carbon tracker. Proc Natl Acad Sci 104(48):18925–18930
Reichstein M, Falge E, Baldocchi D, Papale D, Aubinet M, Berbigier P, Bernhofer C, Buchmann N, Gilmanov T, Granier A, Grünwald T, Havránkova K, Ilvesniemi H, Janous D, Knohl A, Laurila T, Lohila A, Loustau D, Matteucci G, Meyers T, Miglietta F, Ourcival M, Pumpanen J, Rambal S, Rotenberg E, Sanz M, Tenhunen J, Seufert G, Vaccari F, Vesala T, Yakir D, Valentini R (2005) On the separation of net ecosystem exchange into assimilation and ecosystem respiration: review and improved algorithm. Glob Change Biol 11(9):1424–1439
Running SW, Nemani R, Glassy JM, Thornton PE (1999) MODIS daily photosynthesis (PSN) and annual net primary production (NPP) product (MOD17) algorithm theoretical basis document. SCF At-Launch Algorithm ATBD documents
Saigusa N, Yamamoto S, Murayama S, Kondo H, Nishimura N (2002) Gross primary production and net ecosystem exchange of a cool-temperate deciduous forest estimated by the eddy covariance method. Agric For Meteorol 112(3):203–215
Steffen W, Noble I, Canadell J, Apps M, Schulze ED, Jarvis P, Baldocchi D, Ciais P, Cramer W, Ehleringer J, Farquhar G, Field CB, Ghazi A, Gifford R, Heimann M, Houghton R, Kabat P, Körner C, Lambin E, Linder S, Mooney HA, Murdiyarso D, Post WM, Prentice C, Raupach MR, Schimel DS, Shvidenko A, Valentini R (1998) The terrestrial carbon cycle: implications for the Kyoto protocol. Science 280(5368):1393–1394
Stoy PC, Katul GG, Siqueira M, Juang J, Novick KA, Uebelherr JM, Oren R (2006) An evaluation of models for partitioning eddy covariance-measured net ecosystem exchange into photosynthesis and respiration. Agric For Meteorol 141(1):2–18
Strahler A, Muchoney D, Lambin E, Moody A, Borak J, Friedl M, Gopa S (1999) MODIS land cover product: algorithm theoretical basis document version 5.0. Tech. rep., Center for Remote Sensing Department of Geography, Boston University
Suyker AE, Verma SB (2001) Year-round observations of the net ecosystem exchange of carbon dioxide in a native tallgrass prairie. Glob Change Biol 7(3):279–289
Veroustraete F, Patyn J, Myneni RB (1996) Estimating net ecosystem exchange of carbon using the normalized difference vegetation index and an ecosystem model. Remote Sens Environ 58(1):115–130
Vetter P, Schmid W, Schwarze R (2014) Efficient approximation of the spatial covariance function for large datasets—analysis of atmospheric \(CO_2\) concentrations. J Environ Stat 6(3):1–36
Voutilainen A, Pyhälahti T, Kallio KY, Pulliainen J, Haario H, Kaipio JP (2007) A filtering approach for estimating lake water quality from remote sensing data. Int J Appl Earth Obs Geoinform 9(1):50–64
Watson RT, Noble IR, Bolin B, Ravindranath NH, Verardo DJ, Dokken DJ (2000) Land use, land-use change and forestry, IPCC—Special report of the Intergovernmental Panel on climate change
Wikle CK, Cressie N (1999) A dimension-reduced approach to space–time Kalman filtering. Biometrika 86(4):815–829
Wikle CK, Hooten MB (2006) Hierarchical Bayesian spatio-temporal models for population spread. In: Clark JS, Gelfand A (eds) Applications of computational statistics in the environmental sciences: hierarchical Bayes and MCMC methods. Oxford University Press, Oxford, pp 145–169
Wunch D, Wennberg PO, Toon GC, Connor BJ, Fisher B, Osterman GB, Frankenberg C, Mandrake L, O’Dell C, Ahonen P, Biraud SC, Castano R, Cressie N, Crisp D, Deutscher NM, Eldering A, Fisher ML, Griffith DWT, Gunson M, Heikkinen P, Keppel-Aleks G, Kyrö E, Lindenmaier R, Macatangay R, Mendonca J, Messerschmidt J, Miller CE, Morino I, Notholt J, Oyafuso FA, Rettinger M, Robinson J, Roehl CM, Salawitch RJ, Sherlock V, Strong K, Sussmann R, Tanaka T, Thompson DR, Uchino O, Warneke T, Wofsy SC (2011) A method for evaluating bias in global measurements of \({\rm CO}_{2}\) total columns from space. Atmos Chem Phys 11(23):12317–12337
Yokota T, Yoshida Y, Eguchi N, Ota Y, Tanaka T, Watanabe H, Maksyutov S (2009) Global concentrations of \(CO_2\) and CH4 retrieved from GOSAT: first preliminary results. Sola 5:160–163
Zhang B, Sang H, Huang JZ (2015) Full-scale approximations of spatio-temporal covariance models for large datasets. Statistica Sinica 25(1):99–114
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Vetter, P., Schmid, W. & Schwarze, R. Spatio-temporal statistical analysis of the carbon budget of the terrestrial ecosystem. Stat Methods Appl 25, 143–161 (2016). https://doi.org/10.1007/s10260-015-0342-7
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DOI: https://doi.org/10.1007/s10260-015-0342-7