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Oscillatory Behavior of Two Nonlinear Microbial Models of Soil Carbon Decomposition : Volume 10, Issue 12 (16/12/2013)

By Wang, Y. P.

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Book Id: WPLBN0004004336
Format Type: PDF Article :
File Size: Pages 40
Reproduction Date: 2015

Title: Oscillatory Behavior of Two Nonlinear Microbial Models of Soil Carbon Decomposition : Volume 10, Issue 12 (16/12/2013)  
Author: Wang, Y. P.
Volume: Vol. 10, Issue 12
Language: English
Subject: Science, Biogeosciences, Discussions
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Wieder, W. R., Chen, B. C., Luo, Y. Q., Rasmussen, M., Smith, M. J., Medlyn, B. E.,...Agusto, F. B. (2013). Oscillatory Behavior of Two Nonlinear Microbial Models of Soil Carbon Decomposition : Volume 10, Issue 12 (16/12/2013). Retrieved from

Description: CSIRO Marine and Atmospheric Research Private Bag 1, Aspendale, Vic 3195 Australia. A number of nonlinear models have recently been proposed for simulating soil carbon decomposition. Their predictions of soil carbon responses to fresh litter input and warming differ significantly from conventional linear models. Using both stability analysis and numerical simulations, we showed that two of those nonlinear models (a two-pool model and a three-pool model) exhibit damped oscillatory responses to small perturbations. Stability analysis showed the frequency of oscillation is proportional to √ (ϵ −1−1)Ks/Vs in the two-pool model, and to √ (ϵ −1−1)Kl/Vl in the three-pool model, where ϵ is microbial growth efficiency, Ks and Kl are the half saturation constants of soil and litter carbon, respectively, and Vs and Vl are the maximal rates of carbon decomposition per unit of microbial biomass for soil and litter carbon, respectively. For both models, the oscillation has a period between 5 and 15 yr depending on other parameter values, and has smaller amplitude at soil temperatures between 0 °C to 15 °C. In addition, the equilibrium pool sizes of litter or soil carbon are insensitive to carbon inputs in the nonlinear model, but are proportional to carbon input in the conventional linear model. Under warming, the microbial biomass and litter carbon pools simulated by the nonlinear models can increase or decrease, depending whether ϵ varies with temperature. In contrast, the conventional linear models always simulate a decrease in both microbial and litter carbon pools with warming. Based on the evidence available, we concluded that the oscillatory behavior and insensitivity of soil carbon to carbon input in the nonlinear models are unrealistic. We recommend that a better model for capturing the soil carbon dynamics over decadal to centennial timescales would combine the sensitivity of the conventional models to carbon influx with the flexible response to warming of the nonlinear model.

Oscillatory behavior of two nonlinear microbial models of soil carbon decomposition

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