Transient dynamics of terrestrial carbon storage: mathematical foundation and its applications

Luo, Yiqi; Shi, Zheng; Lu, Xingjie; Xia, Jianyang; Liang, Junyi; Jiang, Jiang; Wang, Ying; Smith, Matthew J.; Jiang, Lifen; Ahlström, Anders; Chen, Benito; Hararuk, Oleksandra; Hastings, Alan; Hoffman, Forrest; Medlyn, Belinda; Niu, Shuli; Rasmussen, Martin; Todd-Brown, Katherine; Wang, Ying-Ping

doi:10.5194/bg-14-145-2017

Title: Transient dynamics of terrestrial carbon storage: mathematical foundation and its applications

Journal Article · Sun Jan 01 00:00:00 EST 2017 · Biogeosciences (Online)

DOI:https://doi.org/10.5194/bg-14-145-2017· OSTI ID:1394454

Luo, Yiqi; Shi, Zheng; Lu, Xingjie; Xia, Jianyang; Liang, Junyi; Jiang, Jiang; Wang, Ying; Smith, Matthew J.; Jiang, Lifen; Ahlström, Anders; Chen, Benito; Hararuk, Oleksandra; Hastings, Alan; Hoffman, Forrest; Medlyn, Belinda; Niu, Shuli; Rasmussen, Martin;

; Wang, Ying-Ping

Terrestrial ecosystems have absorbed roughly 30 % of anthropogenic CO₂ emissions over the past decades, but it is unclear whether this carbon (C) sink will endure into the future. Despite extensive modeling and experimental and observational studies, what fundamentally determines transient dynamics of terrestrial C storage under global change is still not very clear. Here we develop a new framework for understanding transient dynamics of terrestrial C storage through mathematical analysis and numerical experiments. Our analysis indicates that the ultimate force driving ecosystem C storage change is the C storage capacity, which is jointly determined by ecosystem C input (e.g., net primary production, NPP) and residence time. Since both C input and residence time vary with time, the C storage capacity is time-dependent and acts as a moving attractor that actual C storage chases. The rate of change in C storage is proportional to the C storage potential, which is the difference between the current storage and the storage capacity. The C storage capacity represents instantaneous responses of the land C cycle to external forcing, whereas the C storage potential represents the internal capability of the land C cycle to influence the C change trajectory in the next time step. The influence happens through redistribution of net C pool changes in a network of pools with different residence times. Moreover, this and our other studies have demonstrated that one matrix equation can replicate simulations of most land C cycle models (i.e., physical emulators). As a result, simulation outputs of those models can be placed into a three-dimensional (3-D) parameter space to measure their differences. The latter can be decomposed into traceable components to track the origins of model uncertainty. In addition, the physical emulators make data assimilation computationally feasible so that both C flux- and pool-related datasets can be used to better constrain model predictions of land C sequestration. Overall, this new mathematical framework offers new approaches to understanding, evaluating, diagnosing, and improving land C cycle models.

Cite

Export

Save

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE

DOE Contract Number:: AC05-00OR22725

OSTI ID:: 1394454

Journal Information:: Biogeosciences (Online), Vol. 14, Issue 1; ISSN 1726-4189

Publisher:: European Geosciences Union

Country of Publication:: United States

Language:: English

References (90)

Simple three-pool model accurately describes patterns of long-term litter decomposition in diverse climates Adair, E. Carol; Parton, William J.; Del Grosso, Steven J. Global Change Biology https://doi.org/10.1111/j.1365-2486.2008.01674.x	journal	August 2008
Quality: A Bridge between Theory and Experiment in Soil Organic Matter Studies Ågren, Göran I.; Bosatta, Ernesto; Agren, Goran I. Oikos, Vol. 76, Issue 3 https://doi.org/10.2307/3546345	journal	September 1996
Importance of vegetation dynamics for future terrestrial carbon cycling Ahlström, Anders; Xia, Jianyang; Arneth, Almut Environmental Research Letters, Vol. 10, Issue 5 https://doi.org/10.1088/1748-9326/10/5/054019	journal	May 2015
Soil-carbon response to warming dependent on microbial physiology Allison, Steven D.; Wallenstein, Matthew D.; Bradford, Mark A. Nature Geoscience, Vol. 3, Issue 5 https://doi.org/10.1038/ngeo846	journal	April 2010
FLUXNET: A New Tool to Study the Temporal and Spatial Variability of Ecosystem–Scale Carbon Dioxide, Water Vapor, and Energy Flux Densities Baldocchi, Dennis; Falge, Eva; Gu, Lianhong Bulletin of the American Meteorological Society, Vol. 82, Issue 11 https://doi.org/10.1175/1520-0477(2001)082<2415:FANTTS>2.3.CO;2	journal	November 2001
Linear Analysis of soil Decomposition: Insights from the Century Model Bolker, Benjamin M.; Pacala, Stephen W.; Parton, William J. Ecological Applications, Vol. 8, Issue 2 https://doi.org/10.1890/1051-0761(1998)008[0425:LAOSDI]2.0.CO;2	journal	May 1998
Finding generality in ecology: a model for globally distributed experiments Borer, Elizabeth T.; Harpole, W. Stanley; Adler, Peter B. Methods in Ecology and Evolution, Vol. 5, Issue 1 https://doi.org/10.1111/2041-210X.12125	journal	December 2013
Dynamics of Carbon and Nitrogen in the Organic Matter of the Soil: A Generic Theory Bosatta, Ernesto; Agren, Goran I. The American Naturalist, Vol. 138, Issue 1 https://doi.org/10.1086/285213	journal	July 1991
Texture, Climate, and Cultivation Effects on Soil Organic Matter Content in U.S. Grassland Soils Burke, I. C.; Yonker, C. M.; Parton, W. J. Soil Science Society of America Journal, Vol. 53, Issue 3 https://doi.org/10.2136/sssaj1989.03615995005300030029x	journal	January 1989
Contributions to accelerating atmospheric CO2 growth from economic activity, carbon intensity, and efficiency of natural sinks Canadell, J. G.; Le Quere, C.; Raupach, M. R. Proceedings of the National Academy of Sciences, Vol. 104, Issue 47 https://doi.org/10.1073/pnas.0702737104	journal	October 2007
Prospective and Retrospective Perturbation Analyses: Their Roles in Conservation Biology Caswell, Hal Ecology, Vol. 81, Issue 3 https://doi.org/10.1890/0012-9658(2000)081[0619:PARPAT]2.0.CO;2	journal	March 2000
Model Uncertainty, Data Mining and Statistical Inference Chatfield, Chris Journal of the Royal Statistical Society. Series A (Statistics in Society), Vol. 158, Issue 3 https://doi.org/10.2307/2983440	journal	January 1995
The role of residence time in diagnostic models of global carbon storage capacity: model decomposition based on a traceable scheme Yizhao, Chen; Jianyang, Xia; Zhengguo, Sun Scientific Reports, Vol. 5, Issue 1 https://doi.org/10.1038/srep16155	journal	November 2015
Attributing the increase in atmospheric CO2 to emitters and absorbers Ciais, P.; Gasser, T.; Paris, J. D. Nature Climate Change, Vol. 3, Issue 10 https://doi.org/10.1038/nclimate1942	journal	July 2013
Forest water use and water use efficiency at elevated CO ₂ : a model-data intercomparison at two contrasting temperate forest FACE sites De Kauwe, Martin G.; Medlyn, Belinda E.; Zaehle, Sönke Global Change Biology, Vol. 19, Issue 6 https://doi.org/10.1111/gcb.12164	journal	March 2013
Ever-fluctuating single enzyme molecules: Michaelis-Menten equation revisited English, Brian P.; Min, Wei; van Oijen, Antoine M. Nature Chemical Biology, Vol. 2, Issue 2 https://doi.org/10.1038/nchembio759	journal	December 2005
Examining soil carbon uncertainty in a global model: response of microbial decomposition to temperature, moisture and nutrient limitation Exbrayat, J. -F.; Pitman, A. J.; Zhang, Q. Biogeosciences, Vol. 10, Issue 11 https://doi.org/10.5194/bg-10-7095-2013	journal	January 2013
A biochemical model of photosynthetic CO2 assimilation in leaves of C3 species Farquhar, G. D.; von Caemmerer, S.; Berry, J. A. Planta, Vol. 149, Issue 1 https://doi.org/10.1007/BF00386231	journal	June 1980
Assessing uncertainties in a second-generation dynamic vegetation model caused by ecological scale limitations Fisher, Rosie; McDowell, Nate; Purves, Drew New Phytologist, Vol. 187, Issue 3 https://doi.org/10.1111/j.1469-8137.2010.03340.x	journal	July 2010
Coordinated distributed experiments: an emerging tool for testing global hypotheses in ecology and environmental science Fraser, Lauchlan H.; Henry, Hugh AL; Carlyle, Cameron N. Frontiers in Ecology and the Environment, Vol. 11, Issue 3 https://doi.org/10.1890/110279	journal	April 2013
Climate–Carbon Cycle Feedback Analysis: Results from the C ⁴ MIP Model Intercomparison Friedlingstein, P.; Cox, P.; Betts, R. Journal of Climate, Vol. 19, Issue 14 https://doi.org/10.1175/JCLI3800.1	journal	July 2006
Observations and assessment of forest carbon dynamics following disturbance in North America: FOREST CARBON AFTER DISTURBANCE Goetz, S. J.; Bond-Lamberty, B.; Law, B. E. Journal of Geophysical Research: Biogeosciences, Vol. 117, Issue G2 https://doi.org/10.1029/2011JG001733	journal	June 2012
Oscillatory enzyme reactions and Michaelis-Menten kinetics Goldbeter, Albert FEBS Letters, Vol. 587, Issue 17 https://doi.org/10.1016/j.febslet.2013.07.031	journal	July 2013
Vulnerability of high-latitude soil organic carbon in North America to disturbance Grosse, Guido; Harden, Jennifer; Turetsky, Merritt Journal of Geophysical Research, Vol. 116 https://doi.org/10.1029/2010JG001507	journal	January 2011
Mapping of CO ₂ at high spatiotemporal resolution using satellite observations: Global distributions from OCO-2 : HIGH RESOLUTION MAPPING OF SATELLITE CO Hammerling, Dorit M.; Michalak, Anna M.; Kawa, S. Randolph Journal of Geophysical Research: Atmospheres, Vol. 117, Issue D6 https://doi.org/10.1029/2011JD017015	journal	March 2012
Evaluation and improvement of a global land model against soil carbon data using a Bayesian Markov chain Monte Carlo method: Calibration of a carbon cycle model Hararuk, Oleksandra; Xia, Jianyang; Luo, Yiqi Journal of Geophysical Research: Biogeosciences, Vol. 119, Issue 3 https://doi.org/10.1002/2013JG002535	journal	March 2014
Microbial models with data-driven parameters predict stronger soil carbon responses to climate change Hararuk, Oleksandra; Smith, Matthew J.; Luo, Yiqi Global Change Biology, Vol. 21, Issue 6 https://doi.org/10.1111/gcb.12827	journal	March 2015
Modelling photosynthesis of cotton grown in elevated CO2 Harley, P. C.; Thomas, R. B.; Reynolds, J. F. Plant, Cell and Environment, Vol. 15, Issue 3 https://doi.org/10.1111/j.1365-3040.1992.tb00974.x	journal	April 1992
Effects of biotic disturbances on forest carbon cycling in the United States and Canada Hicke, Jeffrey A.; Allen, Craig D.; Desai, Ankur R. Global Change Biology, Vol. 18, Issue 1 https://doi.org/10.1111/j.1365-2486.2011.02543.x	journal	October 2011
Global climate change and soil carbon stocks; predictions from two contrasting models for the turnover of organic carbon in soil Jones, Chris; McConnell, Claire; Coleman, Kevin Global Change Biology, Vol. 11, Issue 1 https://doi.org/10.1111/j.1365-2486.2004.00885.x	journal	January 2005
Terrestrial biosphere model performance for inter-annual variability of land-atmosphere CO2 exchange Keenan, T. F.; Baker, Ian; Barr, Alan Global Change Biology, Vol. 18, Issue 6 https://doi.org/10.1111/j.1365-2486.2012.02678.x	journal	March 2012
Fire dynamics during the 20th century simulated by the Community Land Model Kloster, S.; Mahowald, N. M.; Randerson, J. T. Biogeosciences, Vol. 7, Issue 6 https://doi.org/10.5194/bg-7-1877-2010	journal	January 2010
Global Carbon Budget 2015 Le Quéré, C.; Moriarty, R.; Andrew, R. M. Earth System Science Data, Vol. 7, Issue 2 https://doi.org/10.5194/essd-7-349-2015	journal	January 2015
Modeling permafrost thaw and ecosystem carbon cycle under annual and seasonal warming at an Arctic tundra site in Alaska: MODELING PERMAFROST C CYCLE Li, Jianwei; Luo, Yiqi; Natali, Susan Journal of Geophysical Research: Biogeosciences, Vol. 119, Issue 6 https://doi.org/10.1002/2013JG002569	journal	June 2014
On the Temperature Dependence of Soil Respiration Lloyd, J.; Taylor, J. A. Functional Ecology, Vol. 8, Issue 3 https://doi.org/10.2307/2389824	journal	June 1994
Parameter identifiability, constraint, and equifinality in data assimilation with ecosystem models Luo, Yiqi; Weng, Ensheng; Wu, Xiaowen Ecological Applications, Vol. 19, Issue 3 https://doi.org/10.1890/08-0561.1	journal	April 2009
Toward more realistic projections of soil carbon dynamics by Earth system models: SOIL CARBON MODELING Luo, Yiqi; Ahlström, Anders; Allison, Steven D. Global Biogeochemical Cycles, Vol. 30, Issue 1 https://doi.org/10.1002/2015GB005239	journal	January 2016
Dynamic disequilibrium of the terrestrial carbon cycle under global change Luo, Yiqi; Weng, Ensheng Trends in Ecology & Evolution, Vol. 26, Issue 2 https://doi.org/10.1016/j.tree.2010.11.003	journal	February 2011
Ecological forecasting and data assimilation in a data-rich era Luo, Yiqi; Ogle, Kiona; Tucker, Colin Ecological Applications, Vol. 21, Issue 5 https://doi.org/10.1890/09-1275.1	journal	July 2011
Predictability of the terrestrial carbon cycle Luo, Yiqi; Keenan, Trevor F.; Smith, Matthew Global Change Biology, Vol. 21, Issue 5 https://doi.org/10.1111/gcb.12766	journal	December 2014
Soil carbon and nitrogen mineralization: Theory and models across scales Manzoni, Stefano; Porporato, Amilcare Soil Biology and Biochemistry, Vol. 41, Issue 7 https://doi.org/10.1016/j.soilbio.2009.02.031	journal	July 2009
Temporal Changes in c and n Stocks of Restored Prairie: Implications for c Sequestration Strategies Matamala, R.; Jastrow, J. D.; Miller, R. M. Ecological Applications, Vol. 18, Issue 6 https://doi.org/10.1890/07-1609.1	journal	September 2008
Using ecosystem experiments to improve vegetation models Medlyn, Belinda E.; Zaehle, Sönke; De Kauwe, Martin G. Nature Climate Change, Vol. 5, Issue 6 https://doi.org/10.1038/nclimate2621	journal	May 2015
A Method for Scaling Vegetation Dynamics: the Ecosystem Demography Model (ed) Moorcroft, P. R.; Hurtt, G. C.; Pacala, S. W. Ecological Monographs, Vol. 71, Issue 4 https://doi.org/10.1890/0012-9615(2001)071[0557:AMFSVD]2.0.CO;2	journal	November 2001
Energy Storage and the Balance of Producers and Decomposers in Ecological Systems Olson, Jerry S. Ecology, Vol. 44, Issue 2 https://doi.org/10.2307/1932179	journal	April 1963
The Structure, Distribution, and Biomass of the World's Forests Pan, Yude; Birdsey, Richard A.; Phillips, Oliver L. Annual Review of Ecology, Evolution, and Systematics, Vol. 44, Issue 1 https://doi.org/10.1146/annurev-ecolsys-110512-135914	journal	November 2013
Forest soil carbon and nitrogen cycles under biomass harvest: Stability, transient response, and feedback Parolari, Anthony J.; Porporato, Amilcare Ecological Modelling, Vol. 329 https://doi.org/10.1016/j.ecolmodel.2016.03.003	journal	June 2016
Analysis of Factors Controlling Soil Organic Matter Levels in Great Plains Grasslands1 Parton, W. J.; Schimel, D. S.; Cole, C. V. Soil Science Society of America Journal, Vol. 51, Issue 5 https://doi.org/10.2136/sssaj1987.03615995005100050015x	journal	January 1987
Dynamics of C, N, P and S in grassland soils: a model Parton, W. J.; Stewart, J. W. B.; Cole, C. V. Biogeochemistry, Vol. 5, Issue 1 https://doi.org/10.1007/BF02180320	journal	February 1988
Observations and modeling of biomass and soil organic matter dynamics for the grassland biome worldwide Parton, W. J.; Scurlock, J. M. O.; Ojima, D. S. Global Biogeochemical Cycles, Vol. 7, Issue 4 https://doi.org/10.1029/93GB02042	journal	December 1993
Terrestrial ecosystem production: A process model based on global satellite and surface data Potter, Christopher S.; Randerson, James T.; Field, Christopher B. Global Biogeochemical Cycles, Vol. 7, Issue 4 https://doi.org/10.1029/93GB02725	journal	December 1993
Modeling fire and the terrestrial carbon balance: MODELING FIRE AND LAND CARBON BALANCE Prentice, I. C.; Kelley, D. I.; Foster, P. N. Global Biogeochemical Cycles, Vol. 25, Issue 3 https://doi.org/10.1029/2010GB003906	journal	July 2011
Predictive Models of Forest Dynamics Purves, D.; Pacala, S. Science, Vol. 320, Issue 5882 https://doi.org/10.1126/science.1155359	journal	June 2008
Structural analysis of three global land models on carbon cycle simulations using a traceability framework Rafique, R.; Xia, J.; Hararuk, O. Biogeosciences Discussions, Vol. 11, Issue 6 https://doi.org/10.5194/bgd-11-9979-2014	journal	January 2014
A meta-analysis of the response of soil respiration, net nitrogen mineralization, and aboveground plant growth to experimental ecosystem warming Rustad, L.; Campbell, J.; Marion, G. Oecologia, Vol. 126, Issue 4 https://doi.org/10.1007/s004420000544	journal	February 2001
Circumpolar assessment of permafrost C quality and its vulnerability over time using long-term incubation data Schädel, Christina; Schuur, Edward A. G.; Bracho, Rosvel Global Change Biology, Vol. 20, Issue 2 https://doi.org/10.1111/gcb.12417	journal	October 2013
A model-data intercomparison of CO ₂ exchange across North America: Results from the North American Carbon Program site synthesis Schwalm, Christopher R.; Williams, Christopher A.; Schaefer, Kevin Journal of Geophysical Research, Vol. 115 https://doi.org/10.1029/2009JG001229	journal	January 2010
Comparison of Radiative and Physiological Effects of Doubled Atmospheric CO2 on Climate Sellers, P. J.; Bounoua, L.; Collatz, G. J. Science, Vol. 271, Issue 5254 https://doi.org/10.1126/science.271.5254.1402	journal	March 1996
Inverse analysis of coupled carbon–nitrogen cycles against multiple datasets at ambient and elevated CO ₂ Shi, Zheng; Yang, Yuanhe; Zhou, Xuhui Journal of Plant Ecology, Vol. 9, Issue 3 https://doi.org/10.1093/jpe/rtv059	journal	September 2015
A general mathematical framework for representing soil organic matter dynamics Sierra, Carlos A.; Müller, Markus Ecological Monographs, Vol. 85, Issue 4 https://doi.org/10.1890/15-0361.1	journal	November 2015
When is a measured soil organic matter fraction equivalent to a model pool? Smith, J. U.; Smith, P.; Monaghan, R. European Journal of Soil Science, Vol. 53, Issue 3 https://doi.org/10.1046/j.1365-2389.2002.00458.x	journal	September 2002
Biophysical and economic limits to negative CO2 emissions Smith, Pete; Davis, Steven J.; Creutzig, Felix Nature Climate Change, Vol. 6, Issue 1 https://doi.org/10.1038/nclimate2870	journal	December 2015
Soil Carbon Saturation: Linking Concept and Measurable Carbon Pools Stewart, Catherine E.; Plante, Alain F.; Paustian, Keith Soil Science Society of America Journal, Vol. 72, Issue 2 https://doi.org/10.2136/sssaj2007.0104	journal	January 2008
The influence of vegetation, fire spread and fire behaviour on biomass burning and trace gas emissions: results from a process-based model Thonicke, K.; Spessa, A.; Prentice, I. C. Biogeosciences, Vol. 7, Issue 6 https://doi.org/10.5194/bg-7-1991-2010	journal	January 2010
Causes of variation in soil carbon simulations from CMIP5 Earth system models and comparison with observations Todd-Brown, K. E. O.; Randerson, J. T.; Post, W. M. Biogeosciences, Vol. 10, Issue 3 https://doi.org/10.5194/bg-10-1717-2013	journal	January 2013
Temperature Sensitivity of Soil Organic Carbon Mineralization along an Elevation Gradient in the Wuyi Mountains, China Wang, Guobing; Zhou, Yan; Xu, Xia PLoS ONE, Vol. 8, Issue 1 https://doi.org/10.1371/journal.pone.0053914	journal	January 2013
A two-leaf model for canopy conductance, photosynthesis and partitioning of available energy I: Wang, Y. -P.; Leuning, R. Agricultural and Forest Meteorology, Vol. 91, Issue 1-2 https://doi.org/10.1016/S0168-1923(98)00061-6	journal	May 1998
Oscillatory behavior of two nonlinear microbial models of soil carbon decomposition Wang, Y. P.; Chen, B. C.; Wieder, W. R. Biogeosciences, Vol. 11, Issue 7 https://doi.org/10.5194/bg-11-1817-2014	journal	January 2014
Responses of two nonlinear microbial models to warming and increased carbon input Wang, Y. P.; Jiang, J.; Chen-Charpentier, B. Biogeosciences, Vol. 13, Issue 4 https://doi.org/10.5194/bg-13-887-2016	journal	January 2016
Soil hydrological properties regulate grassland ecosystem responses to multifactor global change: A modeling analysis Weng, Ensheng; Luo, Yiqi Journal of Geophysical Research, Vol. 113, Issue G3 https://doi.org/10.1029/2007JG000539	journal	January 2008
Scaling from individual trees to forests in an Earth system modeling framework using a mathematically tractable model of height-structured competition Weng, E. S.; Malyshev, S.; Lichstein, J. W. Biogeosciences, Vol. 12, Issue 9 https://doi.org/10.5194/bg-12-2655-2015	journal	January 2015
Ecosystem carbon storage capacity as affected by disturbance regimes: A general theoretical model: THE REGIME MODEL Weng, Ensheng; Luo, Yiqi; Wang, Weile Journal of Geophysical Research: Biogeosciences, Vol. 117, Issue G3 https://doi.org/10.1029/2012JG002040	journal	July 2012
Regional uptake and release of crop carbon in the United States West, T. O.; Bandaru, V.; Brandt, C. C. Biogeosciences, Vol. 8, Issue 8 https://doi.org/10.5194/bg-8-2037-2011	journal	January 2011
Global soil carbon projections are improved by modelling microbial processes Wieder, William R.; Bonan, Gordon B.; Allison, Steven D. Nature Climate Change, Vol. 3, Issue 10 https://doi.org/10.1038/nclimate1951	journal	July 2013
Traceable components of terrestrial carbon storage capacity in biogeochemical models Xia, Jianyang; Luo, Yiqi; Wang, Ying-Ping Global Change Biology, Vol. 19, Issue 7 https://doi.org/10.1111/gcb.12172	journal	March 2013
Enzyme Kinetics, Past and Present Xie, X. S. Science, Vol. 342, Issue 6165 https://doi.org/10.1126/science.1248859	journal	December 2013
Carbon quality and the temperature sensitivity of soil organic carbon decomposition in a tallgrass prairie Xu, Xia; Luo, Yiqi; Zhou, Jizhong Soil Biology and Biochemistry, Vol. 50 https://doi.org/10.1016/j.soilbio.2012.03.007	journal	July 2012
Soil properties control decomposition of soil organic carbon: Results from data-assimilation analysis Xu, Xia; Shi, Zheng; Li, Dejun Geoderma, Vol. 262 https://doi.org/10.1016/j.geoderma.2015.08.038	journal	January 2016
Carbon and nitrogen dynamics during forest stand development: a global synthesis Yang, Yuanhe; Luo, Yiqi; Finzi, Adrien C. New Phytologist, Vol. 190, Issue 4 https://doi.org/10.1111/j.1469-8137.2011.03645.x	journal	February 2011
Rates of litter decomposition in terrestrial ecosystems: global patterns and controlling factors Zhang, Deqiang; Hui, Dafeng; Luo, Yiqi Journal of Plant Ecology, Vol. 1, Issue 2 https://doi.org/10.1093/jpe/rtn002	journal	March 2008
A Method for Scaling Vegetation Dynamics: The Ecosystem Demography Model (ED) Moorcroft, P. R.; Hurtt, G. C.; Pacala, S. W. Ecological Monographs, Vol. 71, Issue 4 https://doi.org/10.2307/3100036	journal	November 2001
Fire dynamics during the 20th century simulated by the Community Land Model Kloster, S.; Mahowald, N. M.; Randerson, J. T. Biogeosciences Discussions, Vol. 7, Issue 1 https://doi.org/10.5194/bgd-7-565-2010	journal	January 2010
Examining soil carbon uncertainty in a global model: response of microbial decomposition to temperature, moisture and nutrient limitation Exbrayat, J. -F.; Pitman, A. J.; Zhang, Q. Biogeosciences Discussions https://doi.org/10.5194/bgd-10-10229-2013	posted_content	June 2013
Oscillatory behavior of two nonlinear microbial models of soil carbon decomposition Wang, Y. P.; Chen, B. C.; Wieder, W. R. Biogeosciences Discussions, Vol. 10, Issue 12 https://doi.org/10.5194/bgd-10-19661-2013	journal	January 2013
Regional uptake and release of crop carbon in the United States West, T. O.; Bandaru, V.; Brandt, C. C. Biogeosciences Discussions, Vol. 8, Issue 1 https://doi.org/10.5194/bgd-8-631-2011	journal	January 2011
Global carbon budget 2015 Le Quere, C.; Moriarty, R.; Andrew, R. M. Karlsruhe https://doi.org/10.5445/ir/110103976	text	January 2015
Scaling from individual trees to forests in an Earth system modeling framework using a mathematically tractable model of height-structured competition Weng, Ensheng; Malyshev, Sergey; Lichstein, J. W. Columbia University https://doi.org/10.7916/d8-m31c-1d79	text	January 2015
Global Carbon Budget 2015 Le Quéré, Corinne; Moriarty, Róisín; Andrew, Robbie M. ETH Zurich https://doi.org/10.3929/ethz-b-000108126	text	January 2015
Importance of vegetation dynamics for future terrestrial carbon cycling Ahlström, A.; Xia, J.; Arneth, A. Karlsruhe https://doi.org/10.5445/ir/110101546	text	January 2015
Toward more realistic projections of soil carbon dynamics by Earth system models Luo, Yiqi; Ahlstrom, Anders; Allison, Steven D. AMER GEOPHYSICAL UNION https://doi.org/10.35099/aurora-99	text	January 2016

Cited By (14)

A Large Committed Long-Term Sink of Carbon due to Vegetation Dynamics Pugh, T. A. M.; Jones, C. D.; Huntingford, C. Earth's Future, Vol. 6, Issue 10 https://doi.org/10.1029/2018ef000935	journal	October 2018
Soil Organic Carbon Stabilization in the Three Subtropical Forests: Importance of Clay and Metal Oxides Yu, Mengxiao; Wang, Yingping; Jiang, Jun Journal of Geophysical Research: Biogeosciences, Vol. 124, Issue 10 https://doi.org/10.1029/2018jg004995	journal	October 2019
Greenhouse Gas Concentration and Volcanic Eruptions Controlled the Variability of Terrestrial Carbon Uptake Over the Last Millennium Zhang, Xuanze; Peng, Shushi; Ciais, Philippe Journal of Advances in Modeling Earth Systems, Vol. 11, Issue 6 https://doi.org/10.1029/2018ms001566	journal	June 2019
Limits to growth of forest biomass carbon sink under climate change Zhu, Kai; Zhang, Jian; Niu, Shuli Nature Communications, Vol. 9, Issue 1 https://doi.org/10.1038/s41467-018-05132-5	journal	July 2018
Approaching the potential of model-data comparisons of global land carbon storage Wu, Zhendong; Hugelius, Gustaf; Luo, Yiqi Scientific Reports, Vol. 9, Issue 1 https://doi.org/10.1038/s41598-019-38976-y	journal	March 2019
Evaluating changes of biomass in global vegetation models: the role of turnover fluctuations and ENSO events Cantú, Anselmo García; Frieler, Katja; Reyer, Christopher P. O. Environmental Research Letters, Vol. 13, Issue 7 https://doi.org/10.1088/1748-9326/aac63c	journal	June 2018
Evaluation of simulated soil carbon dynamics in Arctic-Boreal ecosystems Huntzinger, D. N.; Schaefer, K.; Schwalm, C. Environmental Research Letters, Vol. 15, Issue 2 https://doi.org/10.1088/1748-9326/ab6784	journal	February 2020
Divergence in land surface modeling: linking spread to structure Schwalm, Christopher R.; Schaefer, Kevin; Fisher, Joshua B. Environmental Research Communications, Vol. 1, Issue 11 https://doi.org/10.1088/2515-7620/ab4a8a	journal	October 2019
Matrix approach to land carbon cycle modeling: A case study with the Community Land Model Huang, Yuanyuan; Lu, Xingjie; Shi, Zheng Global Change Biology, Vol. 24, Issue 3 https://doi.org/10.1111/gcb.13948	journal	November 2017
Biotic responses buffer warming-induced soil organic carbon loss in Arctic tundra Liang, Junyi; Xia, Jiangyang; Shi, Zheng Global Change Biology, Vol. 24, Issue 10 https://doi.org/10.1111/gcb.14325	journal	June 2018
Maximum carbon uptake rate dominates the interannual variability of global net ecosystem exchange Fu, Zheng; Stoy, Paul C.; Poulter, Benjamin Global Change Biology, Vol. 25, Issue 10 https://doi.org/10.1111/gcb.14731	journal	July 2019
Ages and transit times as important diagnostics of model performance for predicting carbon dynamics in terrestrial vegetation models Ceballos-Núñez, Verónika; Richardson, Andrew D.; Sierra, Carlos A. Biogeosciences, Vol. 15, Issue 5 https://doi.org/10.5194/bg-15-1607-2018	journal	January 2018
A Large Committed Long-Term Sink of Carbon due to Vegetation Dynamics Pugh, Thomas; Jones, C. D.; Huntingford, C. Karlsruhe https://doi.org/10.5445/ir/1000088159	text	January 2018
Ages and transit times as important diagnostics of model performance for predicting carbon dynamics in terrestrial vegetation models Ceballos-Núñez, Verónika; Richardson, Andrew D.; Sierra, Carlos A. Biogeosciences Discussions https://doi.org/10.5194/bg-2017-308	posted_content	August 2017

Similar Records

Transient dynamics of terrestrial carbon storage: Mathematical foundation and its applications

Journal Article · Thu Jan 12 00:00:00 EST 2017 · Biogeosciences (Online) · OSTI ID:1394454

Luo, Yiqi; Shi, Zheng; Lu, Xingjie; +16 more

Transient dynamics of terrestrial carbon storage: Mathematical foundation and numeric examples

Journal Article · Fri Sep 16 00:00:00 EDT 2016 · Biogeosciences Discussions (Online) · OSTI ID:1394454

Luo, Yiqi; Shi, Zheng; Lu, Xingjie; +15 more

Data Synthesis and Data Assimilation at Global Change Experiments and Fluxnet Toward Improving Land Process Models

Technical Report · Tue Sep 12 00:00:00 EDT 2017 · OSTI ID:1394454

Luo, Yiqi

Related Subjects

54 ENVIRONMENTAL SCIENCES

Title: Transient dynamics of terrestrial carbon storage: mathematical foundation and its applications

Citation Formats

References (90)

Cited By (14)

Similar Records

Related Subjects