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Wieder et al. (2013). Global soil carbon projections are improved by modelling microbial processes

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UC Irvine

UC Irvine Previously Published Works

Title

Global soil carbon projections are improved by modelling microbial processes

Permalink

https://escholarship.org/uc/item/3hd31556

Journal

Nature Climate Change, 3(10)

ISSN

1758-678X

Authors

Wieder, William R
Bonan, Gordon B
Allison, Steven D

Publication Date

2013-10-01

DOI

10.1038/nclimate1951
 
Peer reviewed

eScholarship.org

Powered by the California Digital Library

University of California

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Global soil carbon projections are improved by modeling microbial processes 

 

William R. Wieder

1

 

Gordon B. Bonan

1

 

Steven D. Allison

2

 

 

1

National Center for Atmospheric Research, Boulder, CO 80307, USA 

2

Department of Ecology and Evolutionary Biology & Department of Earth System Science, 

University of California, Irvine, CA 92697, USA 

 

Corresponding Author: 

 

William R. Wieder 

Phone: 303.497.1352 

Fax: 303.497.1348 

email:  

wwieder@ucar.edu

 

address: TSS, CGD/NCAR 

PO Box 3000 

Boulder, CO 80307-3000 

 

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2 

Society relies on Earth system models (ESMs) to predict future climate and carbon (C) 

1 

cycle feedbacks. However, the soil C response to climate change is highly uncertain in these 

2 

models

1,2

, and they omit key biogeochemical mechanisms

3-5

.  Specifically, the traditional 

3 

approach in ESMs lack direct microbial control over soil C dynamics

6-8

. Thus, we tested a new 

4 

model that explicitly represents microbial mechanisms of soil C cycling at the global scale.  

5 

Compared to traditional models, the microbial model simulates soil C pools that more closely 

6 

match contemporary observations. It also predicts a much wider range of soil C responses to 

7 

climate change over the twenty-first century. Global soils accumulate C if microbial growth 

8 

efficiency declines with warming in the microbial model. If growth efficiency adapts to warming, 

9 

the microbial model predicts large soil C losses. By comparison, traditional models predict 

10 

modest soil C losses with global warming. Microbes also change the soil response to increased C 

11 

inputs, as might occur with CO

2

 or nutrient fertilization. In the microbial model, microbes 

12 

consume these additional inputs; whereas in traditional models, additional inputs lead to C 

13 

storage. Our results indicate that ESMs should simulate microbial physiology in order to more 

14 

accurately project climate change feedbacks.  

15 

Contemporary ESMs use traditional soil C models, which implicitly simulate microbial 

16 

decomposition via first-order kinetics that determine turnover rates of soil C pools

1,2

.  Although 

17 

such models can replicate extant soil C pools at various scales

9,10

, their ability to predict soil C 

18 

response in a changing environment remains unresolved

11,12

.  In the past 30 years, researchers 

19 

have identified key processes and feedbacks that could be important for accurately simulating 

20 

future C cycle—climate feedbacks. For example, traditional models neglect microbial 

21 

physiological processes that transform and stabilize soil C inputs

3-5

.  In contrast, recent microbial 

22 

models explicitly simulate microbial biomass pools that catalyze soil C mineralization

6,8

 and 

23 

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3 

produce notably different results in transient simulations

6

.  By representing microbial 

24 

physiological responses, such models may provide a better fit to observations, especially in a 

25 

changing environment

13,14

.  Yet to date, no modeling studies have tested the relevance of 

26 

microbial mechanisms for soil C responses to climate change at the global scale. 

27 

We created a new soil biogeochemistry module for use in the Community Land Model 

28 

that explicitly simulates microbial biomass pools (hereafter referred to as the CLM microbial 

29 

model; Fig. 1; modified from ref.

6

).  The CLM microbial model represents aboveground and 

30 

belowground processes and separates belowground pools into surface (0-30 cm) and subsurface 

31 

(30-100 cm) horizons.  Microbes in this model directly catalyze the mineralization of litter and 

32 

soil C pools according to Michaelis-Menten kinetics.  In this formulation, decomposition losses 

33 

can be limited by both substrate availability (the organic C pools) and the microbial biomass, 

34 

which is assumed to be the source of enzymatic activity. This structure differs from traditional 

35 

models in which decomposition losses depend only on first-order decay of substrate (soil C) 

36 

pools

6

. 

37 

Temperature affects three key microbial parameters in our model.  The Michaelis-Menten 

38 

relationship requires two parameters: K

m

, the substrate half-saturation constant, and V

max

, the 

39 

maximal reaction velocity (Fig. 1).  We used observational data to constrain these parameters 

40 

and their temperature sensitivities, which generally follow an exponential form

15

. The third key 

41 

parameter is microbial growth efficiency (MGE), which determines how much microbial 

42 

biomass is produced per unit of substrate consumed

16

.  MGE probably declines with increasing 

43 

temperature, although the magnitude of the response is uncertain

17

.  Consequently, C 

44 

decomposition depends on temperature, substrate availability, and the size of the microbial 

45 

biomass pool.  

46 

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4 

After running to steady-state, we compared soil C pools from the CLM microbial model 

47 

to soil C pools from two traditional models (illustrated with model parameterizations from 

48 

CLM4cn

18

 and DAYCENT

10

). We also compared model outputs to observations from the 

49 

globally gridded Harmonized World Soils Database

19

. Global simulations were forced with 

50 

observationally-derived litter inputs (see methods) and with soil temperature and moisture from a 

51 

20

th

 century simulation

18

.  Overall, the CLM microbial model explained 50% of the spatial 

52 

variation in the soil C observations, whereas the traditional models explained 28-30% of the 

53 

variation and showed greater average deviations from soil C observations (Fig. 2). 

54 

Other traditional models perform even worse than the two reported here. For example, a 

55 

prior version of CLM4cn, using modeled litter inputs, explained only ~2% of the spatial 

56 

variation in observed soil C stocks at the 1º grid scale, and no other ESM explained more than 

57 

16% of the variation

2

. Some of this poor performance may be due to ESM errors in simulating 

58 

litter inputs. We avoided these errors by using litterfall observations for our current analysis. 

59 

Still, the CLM microbial model explained 20% more soil C variation than traditional CLM4cn 

60 

with observed litterfall, an improvement rivaling the entire explanatory power of previous 

61 

models.  Moreover, the CLM microbial model accurately simulates observed soil C pools in both 

62 

surface soil layers (0-30 cm) and total soil profiles (0-100 cm; 

r

 = 0.75 and 0.71, respectively; SI 

63 

Fig. 1). 

64 

A closer examination of regional patterns illustrates specific gaps in our representation of 

65 

processes driving soil C cycling (Fig. 2). Some regions, especially in the tropics, have low 

66 

predicted soil C densities compared to soil C observations.  These low biases suggest systematic 

67 

problems with modeling the physiochemical soil environment.  Specifically, the CLM microbial 

68 

model does not simulate the physical protection of soil C or pH effects on soil microbial activity.  

69 

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5 

These mechanisms should be a focus for future model development, especially in tropical soils. 

70 

Additionally, simulating processes that build and maintain organic soils remains a challenge in 

71 

ESMs

20

.  In the Arctic, the CLM microbial model generates higher soil C densities than 

72 

traditional modeling approaches (Fig. 2). However, there are poor spatial correlations between 

73 

our modeled soil C pools and observational datasets (SI Fig. 2). Also, all of the Arctic datasets 

74 

show a high degree of spatial heterogeneity in soil C, a feature clearly absent from our model 

75 

simulations (SI Fig. 2).  Improved hydrologic and moisture controls over soil C turnover will 

76 

likely be needed to simulate this heterogeneity in the Arctic.  In addition to model improvements, 

77 

measurement efforts should address the wide discrepancies in empirical estimates of Arctic soil 

78 

C (SI Fig. 2).   

79 

Accurate simulation of current soil C stocks is essential, but the main goal of ESMs is to 

80 

project carbon – climate feedbacks in the future. When the environment changes, the CLM 

81 

microbial model makes projections that differ from traditional soil biogeochemistry models (Fig. 

82 

3). For example, perturbations like elevated CO

2

 or N deposition may increase plant productivity 

83 

and C inputs to soils.  In the CLM microbial model, increasing global litter inputs by 20% results 

84 

in an ephemeral accumulation of soil C, which concurrently increases microbial biomass. Larger 

85 

microbial biomass pools then accelerate rates of soil C turnover and increase rates of 

86 

heterotrophic respiration. The net effect is no change in soil C pools after 30 years (Fig. 3a). In 

87 

contrast, increasing litterfall inputs to traditional models causes soil C accumulation. The 

88 

difference is due to the joint dependence of soil C loss on substrate pool size and microbial 

89 

biomass in the microbial model. 

90 

On balance, projections from the CLM microbial model show better agreement with 

91 

observations from leaf litter manipulations

21,22

 and CO

2

 enrichment studies

23

. Increasing litter 

92 

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6 

inputs generally increase rates of soil respiration, but elicit no change in soil C storage (but see 

93 

ref.

24

).  Although the mechanisms underlying these observations are not well understood, several 

94 

studies emphasize the importance of the priming effect. Priming occurs when increased inputs of 

95 

fresh organic substrates accelerate microbial decomposition of existing soil C

25

.  Typically, 

96 

priming is driven by increased microbial demand for nutrients from soil organic matter, or 

97 

increased microbial growth and enzyme production in response to substrate addition.  Only the 

98 

latter mechanism operated in our simulations because the CLM microbial model does not include 

99 

C-N interactions. 

100 

We use both microbial and traditional models to simulate soil C responses to global 

101 

warming (Fig. 3b).   In the microbial model, elevated temperatures accelerate enzyme kinetics, 

102 

which generally leads to soil C loss. However, this effect can be completely offset if MGE 

103 

declines with warming and reduces the microbial biomass that controls decomposition.  If MGE 

104 

does not change with warming, then enzyme kinetics dominate and soils lose up to 300 Pg C. 

105 

Consequently, global soil C losses over the 21

st

 century could be negligible, or massive, 

106 

depending on the thermal response of MGE.  Empirical studies suggest that MGE declines with 

107 

increasing temperature, at least in the short term

16,17

. Still, the MGE response to temperature is 

108 

poorly constrained, and adaptive processes in microbial communities could stabilize MGE in a 

109 

warming world. In traditional models, MGE is a fixed constant. Accordingly, warming 

110 

temperatures only affect kinetic constants in traditional models, which predict modest and 

111 

similar soil C losses in the warming scenario (Fig. 3b). Thus, traditional ESMs miss an important 

112 

element of global climate sensitivity driven by microbial control over soil C cycling. 

113 

Despite better agreement with soil C observations, nearly 50% of the spatial variation in 

114 

global soil C pools remains to be explained.  Our work is just the first step toward a new 

115 

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7 

generation of models that includes key biological and physical mechanisms in the soil C cycle. 

116 

For example, shifts in microbial community structure could alter the temperature sensitivity of 

117 

heterotrophic respiration

26

, such that soils respire less CO

2

 than expected for a given amount of 

118 

warming. Enzyme K

m

, and enzyme V

max

 could also adapt to climate warming, such that enzyme 

119 

catalytic rates increase more than expected at warmer temperatures

14,15

. Some of these 

120 

parameters may also shift with changes in N availability, possibly as a result of shifts in 

121 

microbial community structure

27

. Accounting for these mechanisms not only holds promise for 

122 

improved simulation of current soil C distributions, but should also increase confidence in the 

123 

prediction of soil C responses to future climate change. However, the magnitude of microbial 

124 

adaptation to climate change remains controversial

28

, and more empirical studies are needed to 

125 

determine the mechanisms underlying adaptation, including physiological acclimation, microbial 

126 

community shifts, and evolutionary processes.  Nonetheless our analysis suggests that soil C 

127 

predictions from current ESMs will remain questionable until they can account for critical 

128 

microbial mechanisms that affect soil carbon dynamics. 

129 

Another key shortcoming in the CLM microbial model is the lack of soil mineral 

130 

interactions.  In particular, there is no physiochemical protection of soil organic matter on 

131 

mineral surfaces or within aggregates, yet physical protection is known to affect soil C 

132 

storage

4,7,29

.  This omission is also relevant because minerals and aggregates are involved in soil 

133 

C responses to perturbations

3,7,29

.  For example, soil mineralogy may influence the stabilization 

134 

of microbial byproducts and the temperature sensitivity of organic matter sorption and 

135 

desorption. These mechanisms should be high priorities for future model development.  

136 

Our results have broad implications because society relies on ESMs to predict future 

137 

atmospheric CO

2

 levels and climate.  Our model comparison shows that traditional ESMs omit 

138 

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8 

key microbial mechanisms that determine soil C responses to global climate change.  Clearly 

139 

additional mechanisms should be included, but our model is a crucial first step toward a new 

140 

generation of global models that integrates microbial physiology. Soil biogeochemistry models 

141 

in ESMs deserve further investigation, development, and more rigorous benchmarking with data, 

142 

but we contend that an explicitly microbial approach, like the one presented here, has several 

143 

advantages. Simple microbial models should help bring ESMs into better alignment with our 

144 

theoretical understanding of processes controlling turnover and stabilization of soil C, without 

145 

adding undue computational expense.  Additionally, key parameters in the CLM microbial model 

146 

can be measured, a feature that should facilitate future model development, evaluation, and 

147 

validation.  Finally, this approach represents biological mechanisms responsible for carbon 

148 

turnover in soils and will likely generate more accurate predictions of soil C feedbacks on 

149 

climate change. 

150 

 

151 

Methods 

152 

Equilibrium soil C pools were calculated for CLM4cn and DAYCENT models using an 

153 

analytical solution

30

 with globally gridded input datasets for mean annual soil moisture and 

154 

temperature

18

, soil texture and pH

19

, litter chemistry

31

, and litterfall inputs derived from 

155 

observations

32

 (described in ref.

33

).  We forced the model with these litterfall data to reduce error 

156 

and biases associated with ESMs’ predictions of net primary productivity, plant C allocation, and 

157 

associated litter fluxes.  This modification substantially improves soil C estimates in 

158 

conventional soil biogeochemistry models

33

.  Additionally, DAYCENT parameterizations were 

159 

modified to simulate deeper soil horizons and minimize error between modeled and observed 

160 

soil C pools

33

.  In its current configuration, the CLM microbial model has no structure allowing 

161 

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9 

for the decomposition of coarse woody debris.  Accordingly, coarse woody debris inputs were 

162 

omitted from the litterfall inputs used to force all three models evaluated here. For conventional 

163 

models, soil C pools reported here are the sums of all pools (Fig. 2b, 2c). 

164 

Using the same soil temperature and litterfall inputs, we calculated equilibrium soil C 

165 

pools for the CLM microbial model using a traditional spin-up (~1500 y run at hourly time 

166 

steps).  For vertically resolved soils in the CLM microbial model, we allocated 65% of root litter 

167 

inputs to surface soils (0-30 cm) and the remaining 35% to subsurface horizons (30-100 cm).  

168 

Soil C pools reported for the CLM microbial model represent the sum of SOC and microbial 

169 

biomass, although at equilibrium, microbial biomass pools are only ~1% of total soil C pools.  

170 

We compared modeled soil C pools with observations from the Harmonized World Soils 

171 

Database

19

 using sample cross-correlation and area weighted root-mean-square-error (RMSE). 

172 

We assumed Michaelis-Menten kinetics parameters (V

max

 and K

m

) and MGE were 

173 

temperature sensitive, using parameter values reported in refs.

6,15

. Median values used to 

174 

calculate the relationship between temperature and enzyme kinetics produced plausible global 

175 

soil C pools (SI Fig. 3), although high RMSE, large litter pools, and large soil C pools suggested 

176 

that C turnover was too slow, especially at high latitudes.  Therefore we used the upper and 

177 

lower bounds for the temperature sensitivity of V

max

 and K

m

, respectively, in the CLM microbial 

178 

model to simulate equilibrium soil C pools that minimized RMSE with observations (Fig. 2d, SI 

179 

Fig. 1).  

180 

To examine model behaviors in response to future global change, we took steady-state 

181 

soil C estimates generated for each model and perturbed litter inputs or soil temperature.  In both 

182 

perturbation experiments, control simulations were forced with observationally-derived litter 

183 

inputs evenly distributed throughout the year, and mean monthly soil temperature and soil 

184 

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10 

moisture data from 1985-2005 from a single Community Earth System Model (CESM) ensemble 

185 

member from archived CMIP5 experiments (publically available online at 

186 

http://www.earthsystemgrid.org).  In year 5 of the litter manipulation experiment, we increased 

187 

global litter fluxes 20% for 30 years, calculating the difference in global soil C pools between 

188 

control and increased litter simulations (Fig. 3a).  Using CESM soil temperature projections from 

189 

an archived CMIP5 experiment for RCP 8.5 from 2006 to 2100, we calculated the change in soil 

190 

C pools predicted by 4.8

°

C warming by the end of this century for each model (Fig. 3b).  The 

191 

CLM microbial model has temperature sensitive MGE.  We explored the implications of 

192 

assumptions made about changes in MGE with increasing soil temperatures, allowing: 1) 

193 

instantaneous decreases in MGE with warming soil temperatures (Fig. 3b, solid green line); or 2) 

194 

instantaneous adaptation of microbial community MGE, so that MGE does not decrease with 

195 

warming (dashed green line).  Data presented in Fig. 3b are a subset of results from these 

196 

warming experiments showing the range of possible outcomes with different parameters and 

197 

initial soil C pools.  More information is available in SI Fig. 4.  

198 

 

199 

Acknowledgements 

We appreciate the suggestions from three anonymous reviewers whose 

200 

input clarified and improved this manuscript.  The National Center for Atmospheric Research is 

201 

sponsored by the National Science Foundation. This work was supported by National Science 

202 

Foundation grant AGS-1020767, the NSF Advancing Theory in Biology Program, and the Office 

203 

of Science (BER), US Department of Energy.

 

204 

 

205 

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11 

Author Contributions 

W.R.W and S.D.A. conceived the project and built the model.  W.R.W. 

206 

and G.B. assembled input and model evaluation data sets.  W.R.W. conducted model runs.  All 

207 

authors contributed to writing the paper. 

208 

 

209 

Additional Information 

The authors declare no competing financial interests. Correspondence 

210 

and requests for materials should be addressed to W.R.W.

 

211 

 

212 

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300 

 

301 

Figure 1

 

|

 

Diagram of the CLM microbial model.

  The model explicitly simulates microbial-

302 

driven soil C cycling in above ground, surface (0-30 cm) and sub-surface (30-100 cm) soil 

303 

horizons. Ovals represent pools for litter (Lit), microbial biomass (Mic), and soil organic carbon 

304 

(SOC).   Fluxes between pools are shown with arrows.  Plant inputs enter leaf and root litter 

305 

pools (solid black arrows).  A small fraction of litter flux (F

i

) enters SOC pools without passing 

306 

through microbial biomass (dashed black arrows). Otherwise, litter and SOC pools pass through 

307 

microbial biomass, with rates determined by the size of the microbial biomass pool and 

308 

temperature sensitive Michaelis-Menten kinetic parameters (V

max

 and K

m, 

red arrows), based on 

309 

observations

15

 (SI Table 1). Microbial respiration is also assumed to be temperature sensitive, 

310 

and equal to 1 – MGE (heavy black arrows). Currently, MGE declines linearly with soil 

311 

temperature, but parameters for this relationship are not well constrained by observations (see 

312 

also ref

15

). Microbial turnover (i.e., mortality; 

τ

) converts microbial biomass to SOC pools (blue 

313 

arrows).  In the current parameterization, 

τ

 = 0.0005 h

-1

 and F

i

 = 0.02 h

-1

 (SI Table 1). 

314 

 

315 

Figure 2 | Global distribution of soil C pools

 

(0-100 cm) from observations

19

 and models

. 

(a)

 

316 

Observations, global total = 1259 Pg C, 

(b)

 CLM4cn, global total = 691 Pg C [spatial correlation 

317 

Page 17

Figures and page graphics, page 17

 

16 

with observations (

r

) = 0.55, model-weighted root mean square error (RMSE) = 7.1 kg C m

-2

]; 

318 

(c)

 DAYCENT, global total = 939 Pg C [

r

 = 0.53, RMSE = 7.6]; and 

(d)

 the CLM microbial 

319 

model, global total =  1310 Pg C [

r

 = 0.71, RMSE = 5.3].   

320 

 

321 

Figure 3

 | 

Divergent model responses of global soil C pools in global change simulations.

 

322 

Response of steady-state soil C pools for conventional soil biogeochemistry models [CLM4cn 

323 

(black) and DAYCENT (blue)] and the CLM microbial model (green) to: 

(a)

 20% global 

324 

increase in litterfall beginning in year 5; 

(b)

 4.8

o

C mean increase in global temperature by 2100, 

325 

predicted by ensemble member one of CESM simulations for RCP 8.5 used in CMIP5 

326 

experiments from 2006-2100. For the microbial model, MGE changes with temperature (solid 

327 

line) or microbial communities adapt to increasing temperatures without changing MGE (dashed 

328 

line). 

329 

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