Constraining DALECv2 using multiple data streams and ecological constraints: analysis and application
Abstract
We use a variational method to assimilate multiple data streams into the terrestrial ecosystem carbon cycle model DALECv2 (Data Assimilation Linked Ecosystem Carbon). Ecological and dynamical constraints have recently been introduced to constrain unresolved components of this otherwise ill-posed problem. We recast these constraints as a multivariate Gaussian distribution to incorporate them into the variational framework and we demonstrate their advantage through a linear analysis. By using an adjoint method we study a linear approximation of the inverse problem: firstly we perform a sensitivity analysis of the different outputs under consideration, and secondly we use the concept of resolution matrices to diagnose the nature of the ill-posedness and evaluate regularisation strategies. We then study the non-linear problem with an application to real data. Finally, we propose a modification to the model: introducing a spin-up period provides us with a built-in formulation of some ecological constraints which facilitates the variational approach.
- Authors:
-
- Univ. of Surrey, Guildford (United Kingdom). Dept. of Mathematics
- Univ. of Reading, (United Kingdom). Dept. of Mathematics
- Publication Date:
- Research Org.:
- Univ. of Indiana, Bloomington, IN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Biological and Environmental Research (BER)
- OSTI Identifier:
- 1392991
- Grant/Contract Number:
- FG02-07ER64371
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Geoscientific Model Development (Online)
- Additional Journal Information:
- Journal Name: Geoscientific Model Development (Online); Journal Volume: 10; Journal Issue: 7; Journal ID: ISSN 1991-9603
- Publisher:
- European Geosciences Union
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 58 GEOSCIENCES
Citation Formats
Delahaies, Sylvain, Roulstone, Ian, and Nichols, Nancy. Constraining DALECv2 using multiple data streams and ecological constraints: analysis and application. United States: N. p., 2017.
Web. doi:10.5194/gmd-10-2635-2017.
Delahaies, Sylvain, Roulstone, Ian, & Nichols, Nancy. Constraining DALECv2 using multiple data streams and ecological constraints: analysis and application. United States. https://doi.org/10.5194/gmd-10-2635-2017
Delahaies, Sylvain, Roulstone, Ian, and Nichols, Nancy. Mon .
"Constraining DALECv2 using multiple data streams and ecological constraints: analysis and application". United States. https://doi.org/10.5194/gmd-10-2635-2017. https://www.osti.gov/servlets/purl/1392991.
@article{osti_1392991,
title = {Constraining DALECv2 using multiple data streams and ecological constraints: analysis and application},
author = {Delahaies, Sylvain and Roulstone, Ian and Nichols, Nancy},
abstractNote = {We use a variational method to assimilate multiple data streams into the terrestrial ecosystem carbon cycle model DALECv2 (Data Assimilation Linked Ecosystem Carbon). Ecological and dynamical constraints have recently been introduced to constrain unresolved components of this otherwise ill-posed problem. We recast these constraints as a multivariate Gaussian distribution to incorporate them into the variational framework and we demonstrate their advantage through a linear analysis. By using an adjoint method we study a linear approximation of the inverse problem: firstly we perform a sensitivity analysis of the different outputs under consideration, and secondly we use the concept of resolution matrices to diagnose the nature of the ill-posedness and evaluate regularisation strategies. We then study the non-linear problem with an application to real data. Finally, we propose a modification to the model: introducing a spin-up period provides us with a built-in formulation of some ecological constraints which facilitates the variational approach.},
doi = {10.5194/gmd-10-2635-2017},
journal = {Geoscientific Model Development (Online)},
number = 7,
volume = 10,
place = {United States},
year = {Mon Jul 10 00:00:00 EDT 2017},
month = {Mon Jul 10 00:00:00 EDT 2017}
}
Web of Science
Works referenced in this record:
A dynamical systems analysis of the data assimilation linked ecosystem carbon (DALEC) models
journal, March 2015
- Chuter, Anna M.; Aston, Philip J.; Skeldon, Anne C.
- Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 25, Issue 3
Constraining ecosystem carbon dynamics in a data-limited world: integrating ecological "common sense" in a model–data fusion framework
journal, January 2015
- Bloom, A. A.; Williams, M.
- Biogeosciences, Vol. 12, Issue 5
The REFLEX project: Comparing different algorithms and implementations for the inversion of a terrestrial ecosystem model against eddy covariance data
journal, October 2009
- Fox, Andrew; Williams, Mathew; Richardson, Andrew D.
- Agricultural and Forest Meteorology, Vol. 149, Issue 10
Recipes for adjoint code construction
journal, December 1998
- Giering, Ralf; Kaminski, Thomas
- ACM Transactions on Mathematical Software, Vol. 24, Issue 4
Regularization Tools version 4.0 for Matlab 7.3
journal, November 2007
- Hansen, Per Christian
- Numerical Algorithms, Vol. 46, Issue 2
The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
journal, November 1993
- Hansen, Per Christian; O’Leary, Dianne Prost
- SIAM Journal on Scientific Computing, Vol. 14, Issue 6
The use of CO2 flux time series for parameter and carbon stock estimation in carbon cycle research
journal, September 2011
- Hill, Timothy Charles; Ryan, Edmund; Williams, Mathew
- Global Change Biology, Vol. 18, Issue 1
A singular vector perspective of 4D-Var: Filtering and interpolation
journal, January 2005
- Johnson, Christine; Hoskins, Brian J.; Nichols, Nancy K.
- Quarterly Journal of the Royal Meteorological Society, Vol. 131, Issue 605
Limiting the parameter space in the Carbon Cycle Data Assimilation System (CCDAS)
journal, January 2014
- Kemp, S.; Scholze, M.; Ziehn, T.
- Geoscientific Model Development, Vol. 7, Issue 4, p. 1609-1619
Consistent assimilation of multiple data streams in a carbon cycle data
assimilation system
journal, January 2016
- MacBean, Natasha; Peylin, Philippe; Chevallier, Frédéric
- Geoscientific Model Development, Vol. 9, Issue 10
Two decades of terrestrial carbon fluxes from a carbon cycle data assimilation system (CCDAS): CARBON FLUXES FROM DATA ASSIMILATION SYSTEM
journal, June 2005
- Rayner, P. J.; Scholze, M.; Knorr, W.
- Global Biogeochemical Cycles, Vol. 19, Issue 2
Estimating parameters of a forest ecosystem C model with measurements of stocks and fluxes as joint constraints
journal, April 2010
- Richardson, Andrew D.; Williams, Mathew; Hollinger, David Y.
- Oecologia, Vol. 164, Issue 1
A stochastic framework for inequality constrained estimation
journal, April 2012
- Roese-Koerner, Lutz; Devaraju, Balaji; Sneeuw, Nico
- Journal of Geodesy, Vol. 86, Issue 11
Global sensitivity analysis, probabilistic calibration, and predictive assessment for the data assimilation linked ecosystem carbon model
journal, January 2015
- Safta, C.; Ricciuto, D. M.; Sargsyan, K.
- Geoscientific Model Development, Vol. 8, Issue 7
An improved analysis of forest carbon dynamics using data assimilation
journal, January 2005
- Williams, Mathew; Schwarz, Paul A.; Law, Beverly E.
- Global Change Biology, Vol. 11, Issue 1
Parameterization and sensitivity analysis of a process-based terrestrial ecosystem model using adjoint method
journal, May 2014
- Zhu, Qing; Zhuang, Qianlai
- Journal of Advances in Modeling Earth Systems, Vol. 6, Issue 2
On the capability of Monte Carlo and adjoint inversion techniques to derive posterior parameter uncertainties in terrestrial ecosystem models: COMPARISON OF INVERSION TECHNIQUES
journal, September 2012
- Ziehn, T.; Scholze, M.; Knorr, W.
- Global Biogeochemical Cycles, Vol. 26, Issue 3
A stochastic framework for inequality constrained estimation
journal, April 2012
- Roese-Koerner, Lutz; Devaraju, Balaji; Sneeuw, Nico
- Journal of Geodesy, Vol. 86, Issue 11
Consistent assimilation of multiple data streams in a carbon cycle data
assimilation system
journal, January 2016
- MacBean, Natasha; Peylin, Philippe; Chevallier, Frédéric
- Geoscientific Model Development, Vol. 9, Issue 10
Works referencing / citing this record:
A Method for Generating Coherent Spatially Explicit Maps of Seasonal Paleoclimates From Site‐Based Reconstructions
journal, January 2020
- Cleator, S. F.; Harrison, S. P.; Nichols, N. K.
- Journal of Advances in Modeling Earth Systems, Vol. 12, Issue 1
A method for generating coherent spatially explicit maps of seasonal palaeoclimates from site-based reconstructions
text, January 2019
- Cleator, S. F.; Harrison, S. P.; Nichols, N. K.
- arXiv