DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Matrix approach to land carbon cycle modeling: A case study with the Community Land Model

Abstract

Abstract The terrestrial carbon (C) cycle has been commonly represented by a series of C balance equations to track C influxes into and effluxes out of individual pools in earth system models ( ESM s). This representation matches our understanding of C cycle processes well but makes it difficult to track model behaviors. It is also computationally expensive, limiting the ability to conduct comprehensive parametric sensitivity analyses. To overcome these challenges, we have developed a matrix approach, which reorganizes the C balance equations in the original ESM into one matrix equation without changing any modeled C cycle processes and mechanisms. We applied the matrix approach to the Community Land Model ( CLM 4.5) with vertically‐resolved biogeochemistry. The matrix equation exactly reproduces litter and soil organic carbon ( SOC ) dynamics of the standard CLM 4.5 across different spatial‐temporal scales. The matrix approach enables effective diagnosis of system properties such as C residence time and attribution of global change impacts to relevant processes. We illustrated, for example, the impacts of CO 2 fertilization on litter and SOC dynamics can be easily decomposed into the relative contributions from C input, allocation of external C into different C pools, nitrogen regulation, altered soil environmental conditions,more » and vertical mixing along the soil profile. In addition, the matrix tool can accelerate model spin‐up, permit thorough parametric sensitivity tests, enable pool‐based data assimilation, and facilitate tracking and benchmarking of model behaviors. Overall, the matrix approach can make a broad range of future modeling activities more efficient and effective.« less

Authors:
ORCiD logo [1];  [2];  [3];  [4];  [5];  [6];  [6];  [4];  [7]
  1. Univ. of Oklahoma, Norman, OK (United States); Lab. des Sciences du Climat et de l'Environnement, Gif-sur-Yvette (France)
  2. Univ. of Oklahoma, Norman, OK (United States); Northern Arizona Univ., Flagstaff, AZ (United States)
  3. Univ. of Oklahoma, Norman, OK (United States)
  4. National Center for Atmospheric Research, Boulder, CO (United States)
  5. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  6. East Chine Normal Univ., Shanghai (China)
  7. Univ. of Oklahoma, Norman, OK (United States); Northern Arizona Univ., Flagstaff, AZ (United States); Tsinghua Univ., Beijing (China)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Biological and Environmental Research (BER)
OSTI Identifier:
1477267
Alternate Identifier(s):
OSTI ID: 1410578
Grant/Contract Number:  
AC02-05CH11231; DE‐SC0008270; DE‐SC00114085
Resource Type:
Accepted Manuscript
Journal Name:
Global Change Biology
Additional Journal Information:
Journal Volume: 24; Journal Issue: 3; Journal ID: ISSN 1354-1013
Publisher:
Wiley
Country of Publication:
United States
Language:
English
Subject:
59 BASIC BIOLOGICAL SCIENCES; carbon storage; CO 2 fertilization; data assimilation; residence time; soil organic matter

Citation Formats

Huang, Yuanyuan, Lu, Xingjie, Shi, Zheng, Lawrence, David, Koven, Charles D., Xia, Jianyang, Du, Zhenggang, Kluzek, Erik, and Luo, Yiqi. Matrix approach to land carbon cycle modeling: A case study with the Community Land Model. United States: N. p., 2017. Web. doi:10.1111/gcb.13948.
Huang, Yuanyuan, Lu, Xingjie, Shi, Zheng, Lawrence, David, Koven, Charles D., Xia, Jianyang, Du, Zhenggang, Kluzek, Erik, & Luo, Yiqi. Matrix approach to land carbon cycle modeling: A case study with the Community Land Model. United States. https://doi.org/10.1111/gcb.13948
Huang, Yuanyuan, Lu, Xingjie, Shi, Zheng, Lawrence, David, Koven, Charles D., Xia, Jianyang, Du, Zhenggang, Kluzek, Erik, and Luo, Yiqi. Fri . "Matrix approach to land carbon cycle modeling: A case study with the Community Land Model". United States. https://doi.org/10.1111/gcb.13948. https://www.osti.gov/servlets/purl/1477267.
@article{osti_1477267,
title = {Matrix approach to land carbon cycle modeling: A case study with the Community Land Model},
author = {Huang, Yuanyuan and Lu, Xingjie and Shi, Zheng and Lawrence, David and Koven, Charles D. and Xia, Jianyang and Du, Zhenggang and Kluzek, Erik and Luo, Yiqi},
abstractNote = {Abstract The terrestrial carbon (C) cycle has been commonly represented by a series of C balance equations to track C influxes into and effluxes out of individual pools in earth system models ( ESM s). This representation matches our understanding of C cycle processes well but makes it difficult to track model behaviors. It is also computationally expensive, limiting the ability to conduct comprehensive parametric sensitivity analyses. To overcome these challenges, we have developed a matrix approach, which reorganizes the C balance equations in the original ESM into one matrix equation without changing any modeled C cycle processes and mechanisms. We applied the matrix approach to the Community Land Model ( CLM 4.5) with vertically‐resolved biogeochemistry. The matrix equation exactly reproduces litter and soil organic carbon ( SOC ) dynamics of the standard CLM 4.5 across different spatial‐temporal scales. The matrix approach enables effective diagnosis of system properties such as C residence time and attribution of global change impacts to relevant processes. We illustrated, for example, the impacts of CO 2 fertilization on litter and SOC dynamics can be easily decomposed into the relative contributions from C input, allocation of external C into different C pools, nitrogen regulation, altered soil environmental conditions, and vertical mixing along the soil profile. In addition, the matrix tool can accelerate model spin‐up, permit thorough parametric sensitivity tests, enable pool‐based data assimilation, and facilitate tracking and benchmarking of model behaviors. Overall, the matrix approach can make a broad range of future modeling activities more efficient and effective.},
doi = {10.1111/gcb.13948},
journal = {Global Change Biology},
number = 3,
volume = 24,
place = {United States},
year = {Fri Oct 20 00:00:00 EDT 2017},
month = {Fri Oct 20 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 28 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Model estimates of CO2 emissions from soil in response to global warming
journal, May 1991

  • Jenkinson, D. S.; Adams, D. E.; Wild, A.
  • Nature, Vol. 351, Issue 6324
  • DOI: 10.1038/351304a0

Carbon cycling under 300 years of land use change: Importance of the secondary vegetation sink: CARBON CYCLING AND LAND USE IN LM3V
journal, June 2009

  • Shevliakova, Elena; Pacala, Stephen W.; Malyshev, Sergey
  • Global Biogeochemical Cycles, Vol. 23, Issue 2
  • DOI: 10.1029/2007GB003176

Transient dynamics of terrestrial carbon storage: mathematical foundation and its applications
journal, January 2017


The muddle of ages, turnover, transit, and residence times in the carbon cycle
journal, November 2016

  • Sierra, Carlos A.; Müller, Markus; Metzler, Holger
  • Global Change Biology, Vol. 23, Issue 5
  • DOI: 10.1111/gcb.13556

Implementation of a Marauding Insect Module (MIM, version 1.0) in the Integrated BIosphere Simulator (IBIS, version 2.6b4) dynamic vegetation–land surface model
journal, January 2016

  • Landry, Jean-Sébastien; Price, David T.; Ramankutty, Navin
  • Geoscientific Model Development, Vol. 9, Issue 3
  • DOI: 10.5194/gmd-9-1243-2016

A general mathematical framework for representing soil organic matter dynamics
journal, November 2015

  • Sierra, Carlos A.; Müller, Markus
  • Ecological Monographs, Vol. 85, Issue 4
  • DOI: 10.1890/15-0361.1

Uncertainties in CMIP5 Climate Projections due to Carbon Cycle Feedbacks
journal, January 2014

  • Friedlingstein, Pierre; Meinshausen, Malte; Arora, Vivek K.
  • Journal of Climate, Vol. 27, Issue 2
  • DOI: 10.1175/JCLI-D-12-00579.1

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
journal, March 2014

  • Hararuk, Oleksandra; Xia, Jianyang; Luo, Yiqi
  • Journal of Geophysical Research: Biogeosciences, Vol. 119, Issue 3
  • DOI: 10.1002/2013JG002535

Toward more realistic projections of soil carbon dynamics by Earth system models: SOIL CARBON MODELING
journal, January 2016

  • Luo, Yiqi; Ahlström, Anders; Allison, Steven D.
  • Global Biogeochemical Cycles, Vol. 30, Issue 1
  • DOI: 10.1002/2015GB005239

Carbon residence time dominates uncertainty in terrestrial vegetation responses to future climate and atmospheric CO 2
journal, December 2013

  • Friend, Andrew D.; Lucht, Wolfgang; Rademacher, Tim T.
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue 9
  • DOI: 10.1073/pnas.1222477110

Dynamic disequilibrium of the terrestrial carbon cycle under global change
journal, February 2011


Nitrogen cycling and feedbacks in a global dynamic land model: MODELING THE LAND NITROGEN CYCLE
journal, January 2010

  • Gerber, Stefan; Hedin, Lars O.; Oppenheimer, Michael
  • Global Biogeochemical Cycles, Vol. 24, Issue 1
  • DOI: 10.1029/2008GB003336

Crop growth and irrigation interact to influence surface fluxes in a regional climate-cropland model (WRF3.3-CLM4crop)
journal, March 2015


The computational future for climate and Earth system models: on the path to petaflop and beyond
journal, December 2008

  • Washington, Warren M.; Buja, Lawrence; Craig, Anthony
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 367, Issue 1890
  • DOI: 10.1098/rsta.2008.0219

An efficient method for global parameter sensitivity analysis and its applications to the Australian community land surface model (CABLE)
journal, December 2013


Nitrogen limitation on land: how can it occur in Earth system models?
journal, February 2015

  • Thomas, R. Quinn; Brookshire, E. N. Jack; Gerber, Stefan
  • Global Change Biology, Vol. 21, Issue 5
  • DOI: 10.1111/gcb.12813

Taking off the training wheels: the properties of a dynamic vegetation model without climate envelopes, CLM4.5(ED)
journal, January 2015

  • Fisher, R. A.; Muszala, S.; Verteinstein, M.
  • Geoscientific Model Development, Vol. 8, Issue 11
  • DOI: 10.5194/gmd-8-3593-2015

The North American Carbon Program Multi-Scale Synthesis and Terrestrial Model Intercomparison Project – Part 1: Overview and experimental design
journal, January 2013

  • Huntzinger, D. N.; Schwalm, C.; Michalak, A. M.
  • Geoscientific Model Development, Vol. 6, Issue 6
  • DOI: 10.5194/gmd-6-2121-2013

Comparing the Performance of Three Land Models in Global C Cycle Simulations: A Detailed Structural Analysis
journal, April 2016

  • Rafique, Rashid; Xia, Jianyang; Hararuk, Oleksandra
  • Land Degradation & Development, Vol. 28, Issue 2
  • DOI: 10.1002/ldr.2506

The effect of vertically resolved soil biogeochemistry and alternate soil C and N models on C dynamics of CLM4
journal, January 2013


A vertically discretised canopy description for ORCHIDEE (SVN r2290) and the modifications to the energy, water and carbon fluxes
journal, January 2015

  • Naudts, K.; Ryder, J.; McGrath, M. J.
  • Geoscientific Model Development, Vol. 8, Issue 7
  • DOI: 10.5194/gmd-8-2035-2015

Explicitly representing soil microbial processes in Earth system models: Soil microbes in earth system models
journal, October 2015

  • Wieder, William R.; Allison, Steven D.; Davidson, Eric A.
  • Global Biogeochemical Cycles, Vol. 29, Issue 10
  • DOI: 10.1002/2015GB005188

A semi-analytical solution to accelerate spin-up of a coupled carbon and nitrogen land model to steady state
journal, January 2012

  • Xia, J. Y.; Luo, Y. Q.; Wang, Y. -P.
  • Geoscientific Model Development, Vol. 5, Issue 5
  • DOI: 10.5194/gmd-5-1259-2012

ELEVATED CO 2 DIFFERENTIATES ECOSYSTEM CARBON PROCESSES: DECONVOLUTION ANALYSIS OF DUKE FOREST FACE DATA
journal, August 2001


Traceable components of terrestrial carbon storage capacity in biogeochemical models
journal, March 2013

  • Xia, Jianyang; Luo, Yiqi; Wang, Ying-Ping
  • Global Change Biology, Vol. 19, Issue 7
  • DOI: 10.1111/gcb.12172

Global covariation of carbon turnover times with climate in terrestrial ecosystems
journal, September 2014

  • Carvalhais, Nuno; Forkel, Matthias; Khomik, Myroslava
  • Nature, Vol. 514, Issue 7521
  • DOI: 10.1038/nature13731

Parameter identifiability, constraint, and equifinality in data assimilation with ecosystem models
journal, April 2009

  • Luo, Yiqi; Weng, Ensheng; Wu, Xiaowen
  • Ecological Applications, Vol. 19, Issue 3
  • DOI: 10.1890/08-0561.1

Evaluating soil biogeochemistry parameterizations in Earth system models with observations: Soil Biogeochemistry in ESMs
journal, March 2014

  • Wieder, William R.; Boehnert, Jennifer; Bonan, Gordon B.
  • Global Biogeochemical Cycles, Vol. 28, Issue 3
  • DOI: 10.1002/2013GB004665

Importance of vegetation dynamics for future terrestrial carbon cycling
journal, May 2015


Transit times and mean ages for nonautonomous and autonomous compartmental systems
journal, April 2016

  • Rasmussen, Martin; Hastings, Alan; Smith, Matthew J.
  • Journal of Mathematical Biology, Vol. 73, Issue 6-7
  • DOI: 10.1007/s00285-016-0990-8

Contributions to accelerating atmospheric CO2 growth from economic activity, carbon intensity, and efficiency of natural sinks
journal, October 2007

  • Canadell, J. G.; Le Quere, C.; Raupach, M. R.
  • Proceedings of the National Academy of Sciences, Vol. 104, Issue 47
  • DOI: 10.1073/pnas.0702737104

Permafrost carbon−climate feedback is sensitive to deep soil carbon decomposability but not deep soil nitrogen dynamics
journal, March 2015

  • Koven, Charles D.; Lawrence, David M.; Riley, William J.
  • Proceedings of the National Academy of Sciences
  • DOI: 10.1073/pnas.1415123112

The North American Carbon Program Multi-scale synthesis and Terrestrial Model Intercomparison Project – Part 1: Overview and experimental design
journal, January 2013

  • Huntzinger, D. N.; Schwalm, C.; Michalak, A. M.
  • Geoscientific Model Development Discussions, Vol. 6, Issue 3
  • DOI: 10.5194/gmdd-6-3977-2013

Importance of vegetation dynamics for future terrestrial carbon cycling
text, January 2015


Transit times and mean ages for nonautonomous and autonomous compartmental systems
preprint, January 2016


Works referencing / citing this record:

Divergence in land surface modeling: linking spread to structure
journal, October 2019

  • Schwalm, Christopher R.; Schaefer, Kevin; Fisher, Joshua B.
  • Environmental Research Communications, Vol. 1, Issue 11
  • DOI: 10.1088/2515-7620/ab4a8a

Biotic responses buffer warming-induced soil organic carbon loss in Arctic tundra
journal, June 2018

  • Liang, Junyi; Xia, Jiangyang; Shi, Zheng
  • Global Change Biology, Vol. 24, Issue 10
  • DOI: 10.1111/gcb.14325

Evaluating the simulated mean soil carbon transit times by Earth system models using observations
journal, January 2019


Carbon–nitrogen coupling under three schemes of model representation: a traceability analysis
journal, January 2018

  • Du, Zhenggang; Weng, Ensheng; Jiang, Lifen
  • Geoscientific Model Development, Vol. 11, Issue 11
  • DOI: 10.5194/gmd-11-4399-2018