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Original Research Articles

Hyperparameter estimation for uncertainty quantification in mesoscale carbon dioxide inversions

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Article: 20894 | Received 19 Mar 2013, Accepted 10 Oct 2013, Published online: 12 Nov 2013

References

  • Balgovind R , Dalcher A , Ghil M , Kalnay E . A stochastic-dynamic model for the spatial structure of forecast error statistics. Mon. Wea. Rev. 1983; 111: 701–722.
  • Bocquet M , Blayo E , Bocquet M , Cosme E . An introduction to inverse modelling and parameter estimation for atmospheric and oceanic sciences. Advanced Data Assimilation for Geosciences. 2012; Les Houches School of Physics: Oxford University Press.
  • Bousquet P , Peylin P , Ciais P , Quéré C. L , Friedlingstein P , co-authors . Regional changes in carbon dioxide fluxes of land and oceans since 1980. Science. 2000; 290(5495): 1342–1346.
  • Chapnik B , Desroziers G , Rabier F , Talagrand O . Properties and first application of an error-statistics tuning method in variational assimilation. Q. J. Roy. Meteorol. Soc. 2004; 130: 2253–2275.
  • Chevallier F . Impact of correlated observation errors on inverted CO2 surface fluxes from OCO measurements. Geophys. Res. Lett. 2007; 34: L24804.
  • Chevallier F , Ciais P , Conway T. J , Aalto T , Anderson B. E , co-authors . CO2 surface fluxes at grid point scale estimated from a global 21 year reanalysis of atmospheric measurements. J. Geophys. Res. 2010; 115: D21307.
  • Chevallier F , Viovy N , Reichstein M , Ciais P . On the assignment of prior errors in Bayesian inversions of CO2 surface fluxes. Geophys. Res. Lett. 2006; 33: L13802.
  • Chevallier F , Wang T , Ciais P , Maignan F , Bocquet M , co-authors . What eddy-covariance measurements tell us about prior land flux errors in CO2-flux inversion schemes. Glob. Chang. Biol. 2012; 26: GB1021.
  • Davoine X , Bocquet M . Inverse modelling-based reconstruction of the Chernobyl source term available for long-range transport. Atmos. Chem. Phys. 2007; 7: 1549–1564.
  • Dee D. P . On-line estimation of error covariance parameters for atmospheric data assimilation. Mon. Wea. Rev. 1995; 123: 1128–1145.
  • Dee D. P , da Silva A. M . Maximum-likelihood estimation of forecast and observation error covariance parameters. Part I: methodology. Mon. Wea. Rev. 1999; 127: 1835–1849.
  • Desroziers G , Berre L , Chapnik B , Poli P . Diagnosis of observation, background and analysis-error statistics in observation space. Q. J. Roy. Meteorol. Soc. 2005; 131: 3385–3396.
  • Desroziers G , Ivanov S . Diagnosis and adaptive tuning of observation-error parameters in a variational assimilation. Q. J. Roy. Meteorol. Soc. 2001; 127: 1433–1452.
  • Efron B , Hinkley D . Assessing the accuracy of the maximum likelihood estimator: observed versus expected fisher information. Biometrika. 1978; 65: 457–487.
  • Gerbig C , Lin J. C , Wofsy S. C , Daube B. C , Andrews A. E , co-authors . Toward constraining regional-scale fluxes of CO2 with atmospheric observations over a continent: 2. analysis of COBRA data using a receptor-oriented framework. J. Geophys. Res. 2003; 108(D24): 4757.
  • Gurney K. R , Law R. M , Denning A. S , Rayner P. J , Baker D , co-authors . Towards robust regional estimates of CO2 sources and sinks using atmospheric transport models. Nature. 2002; 415: 626–630.
  • Hansen P. C . Discrete Inverse Problems: Insight and Algorithms, SIAM Publishing, Philadelphia. 2010; 225.
  • Koohkan M. R , Bocquet M . Accounting for representativeness errors in the inversion of atmospheric constituent emissions: application to the retrieval of regional carbon monoxide fluxes. Tellus B. 2012; 64: 19047.
  • Krakauer N. Y , Schneider T , Randerson J. T , Olsen S. C . Using generalized cross-validation to select parameters in inversions for regional carbon fluxes. Geophys. Res. Lett. 2004; 31: L19108.
  • Lauvaux T , Pannekoucke O , Sarrat C , Chevallier F , Ciais P , co-authors . Structure of the transport uncertainty in mesoscale inversions of CO2 sources and sinks using ensemble model simulations. Biogeosciences. 2009; 6(6): 1089–1102.
  • Lauvaux T , Schuh A. E , Bocquet M , Wu L , Richardson S , co-authors . Network design for mesoscale inversions of CO2 sources and sinks. Tellus B. 2012a; 64: 17980.
  • Lauvaux T , Schuh A. E , Uliasz M , Richardson S , Miles N , co-authors . Constraining the CO2 budget of the corn belt: exploring uncertainties from the assumptions in a mesoscale inverse system. Atmos. Chem. Phys. 2012b; 11: 337–354.
  • Lindsey J. K . Parametric Statistical Inference. 1996; Oxford: Oxford University Press. 512.
  • Lokupitiya E , Denning S , Paustian K , Baker I , Schaefer K , co-authors . Incorporation of crop phenology in simple biosphere model (SiBcrop) to improve land–atmosphere carbon exchanges from croplands. Biogeosciences. 2009; 6: 969–986.
  • Ménard R , Chang L.-P . Assimilation of stratospheric chemical tracer observations using a Kalman filter. Part ii: c 2-validated results and analysis of variance and correlation dynamics. Mon. Wea. Rev. 2000; 128: 2672–2686.
  • Michalak A. M , Hirsch A , Bruhwiler L , Gurney K. R , Peters W , co-authors . Maximum likelihood estimation of covariance parameters for Bayesian atmospheric trace gas surface flux inversions. J. Geophys. Res. 2005; 110: D24107.
  • Miles N. L , Richardson S. J , Davis K. J , Lauvaux T , Andrews A. E , co-authors . Large amplitude spatial and temporal gradients in atmospheric boundary layer CO2 mole fractions detected with a tower-based network in the U.S. upper Midwest. J. Geophys. Res. 2012; 117: G01019.
  • Rayner P. J , Enting I. G , Francey R. J , Langenfelds R . Reconstructing the recent carbon cycle from atmospheric CO2, δ13c and O2/N2 observations. Tellus B. 1999; 51: 213–232.
  • Rödenbeck C , Houweling S , Gloor M , Heimann M . CO2 flux history 1982–2001 inferred from atmospheric data using a global inversion of atmospheric transport. Atmos. Chem. Phys. 2003; 3: 1919–1964.
  • Rodgers C. D . Inverse Methods for Atmospheric Sounding: Theory and Practice. 2000; Singapore: World Scientific Publishing. 240.
  • Schuh A. E , Lauvaux T , West T. O , Denning A. S , Davis K. J , co-authors . Evaluating atmospheric CO2 inversions at multiple scales over a highly inventoried agricultural landscape. Glob. Chang. Biol. 2013; 19(5): 1424–1439.
  • Tarantola A . Inverse Problem Theory and Model Parameter Estimation. 2005; Philadelphia: SIAM Publishing. 352.
  • Uliasz M , Zannetti P . Lagrangian particle dispersion modeling in mesoscale applications. Environmental Modeling II. 1994; Southampton: Computational Mechanics Publications. 71–102.
  • Vogel C. R . Computational Methods for Inverse Problems. 2002; Philadelphia: SIAM Publishing. 183.
  • Wahba G . Spline Models for Observational Data. 1990; Philadelphia: SIAM Publishing. 180.
  • Wahba G , Johnson D. R , Gao F , Gong J . Adaptive tuning of numerical weather prediction models: randomized GCV in three- and four-dimensional data assimilation. Mon. Wea. Rev. 1995; 123: 3358–3370.
  • Winiarek V , Bocquet M , Saunier O , Mathieu A . Estimation of errors in the inverse modeling of accidental release of atmospheric pollutant: application to the reconstruction of the cesium-137 and iodine-131 source terms from the Fukushima Daiichi power plant. J. Geophys. Res. 2012; 117: D05122.
  • Wu L , Bocquet M , Lauvaux T , Chevallier F , Rayner P , co-authors . Optimal representation of source-sink fluxes for mesoscale carbon dioxide inversion with synthetic data. J. Geophys. Res. 2011; 116: D21304.