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Global Change Biology,
2026; 32:e70909
https://doi.org/10.1111/gcb.70909
Global Change Biology
RESEARCH ARTICLE
Soil Organic Carbon Improves Crop Yield and
Yield Resilience
Alison E. King
| Jesse Burkhardt
| Nathaniel D. Mueller
1
School of Food and Agriculture, University of Maine, Orono, Maine, USA |
2
Department of Ecosystem Science and Sustainability, Colorado State
University, Fort Collins, Colorado, USA |
3
Department of Agricultural and Resource Economics, Colorado State University, Fort Collins, Colorado,
USA |
4
Department of Soil and Crop Sciences, Colorado State University, Fort Collins, Colorado, USA
Correspondence:
Alison E. King (
)
Received:
15 August 2025 |
Revised:
15 March 2026 |
Accepted:
23 March 2026
Keywords:
adaptation | agriculture | drought | mitigation | soil organic carbon | soil organic matter
ABSTRACT
Increasing soil organic carbon (SOC) has been proposed as a strategy to promote crop yield resilience under extreme hydro-
climatic stress, particularly drought, due to its positive effect on soil available water- holding capacity. We analyze how SOC
mediates the relationship between US rainfed crop yields (1981–2020) and growing season hydroclimatic conditions—defined
by soil water supply and atmospheric water demand—over 67,000 county- years across three major crops. We show that higher
SOC is consistently associated with increased crop yields and yield resilience, evidenced through reduced interannual variabil-
ity. Contrary to prevailing expectations, the largest yield gains from SOC occur during moderate water supply conditions—not
drought. Under drought, water supply to crops may be more limited by water inputs to soil than by soil water- holding capac-
ity, constraining the benefit provided by SOC regeneration. Furthermore, because moderate conditions are more frequent than
drought or wet extremes, the largest production gains from SOC accumulate under moderate conditions. These findings indicate
that SOC regeneration can enhance drought resilience to some degree but cannot compensate for extreme water scarcity; the
services SOC provides to crops, including water storage, require water for their effective delivery.
1 | Introduction
Climate change is driving rising temperatures and altering
precipitation patterns, leading to more frequent departures
from historically average conditions (Lesk et al.
; Ridder
et al.
; Rosenzweig et al.
). Agriculture, which is in-
herently exposed to climate variability, is under growing pres-
sure to adapt in order to sustain food security (Schmidhuber
and Tubiello
; Wang et al.
). Increasing soil organic
carbon (SOC) is proposed as a strategy to promote crop yield re-
silience under a changing climate (Bradford et al.
; Chenu
et al.
; Paustian et al.
; Wang et al.
), often with
the expectation that SOC will reduce crop yield losses due to
extreme weather (Bot and Benites
; Bradford et al.
Lal
). The regeneration of SOC also contributes to cli-
mate change mitigation through increased terrestrial C storage
(Amelung et al.
; Minasny et al.
), therefore offering a
promising “win- win” strategy for both adaptation and mitiga-
tion. While positive associations between SOC and mean crop
yield are well- documented (Ma et al.
; Oldfield et al.
),
it remains unclear the extent to which SOC enhances crop yield
resilience.
Soil organic carbon is expected to confer yield resilience by pro-
tecting crops specifically against drought- related yield losses
(Kane et al.
; Lal
). Mechanistically, SOC is thought to
reduce crop exposure to water stress during drought by increas-
ing soil plant- available water holding capacity (AWC) (Bagnall
et al.
; Hudson
; Minasny and McBratney
Rawls et al.
). However, studies that quantify both SOC
and AWC cast doubt on this mechanism, finding that the ef-
fect of SOC on crop yield is not attributable to changes in AWC
© 2026 John Wiley & Sons Ltd.
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Global Change Biology,
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(Baldwin- Kordick et al.
; Kane et al.
; Renwick
).
The disconnect between the lack of support for the AWC mech-
anism and evidence that SOC supports yields under drought
(Kane et al.
) underscores uncertainty about when and
how SOC enhances crop yields. SOC provides multiple services
that could support crop yield across diverse growing conditions,
including nitrogen (N) supply from associated organic mat-
ter and soil structural improvements (Booth et al.
; King
et al.
). Understanding which growing conditions activate
these benefits will be critical to identifying the contexts in which
SOC benefits crops.
Statistical models of crop yield provide a valuable framework
for evaluating how hydroclimatic conditions, such as drought,
affect crop yield resilience. Models that incorporate both atmo-
spheric water demand and root- zone soil moisture have been
shown to outperform those relying solely on temperature or
precipitation in predicting US maize yields (Choi et al.
Rigden et al.
). While precipitation is often used as a
proxy for water supply (Li et al.
; Lobell et al.
Rosenzweig et al.
), soil moisture offers a more accurate
representation by accounting for runoff, drainage, and evapo-
transpiration (Basso and Ritchie
). Atmospheric water de-
mand frequently coincides with high temperatures and plays
a critical role in modulating crop sensitivity to water avail-
ability (Butler and Huybers
; Carter et al.
; Lobell
et al.
; Ortiz- Bobea et al.
; Urban et al.
; Zhao
et al.
). Despite these insights, no studies thus far have
jointly considered water supply and water demand to investi-
gate the potential role of SOC in buffering crop yields against
hydroclimatic stress.
Here, we analyze how SOC influences US rainfed crop yields
and yield resilience (1981–2020) across the full spectrum of hy-
droclimatic conditions, represented by the interaction between
growing season atmospheric water demand (vapor pressure defi-
cit, VPD) and soil water supply (plant- available water). Using a
statistical regression model, we evaluate the joint impacts of
VPD and plant- available water on the yields of maize, soybean,
and spring wheat as a function of observed SOC (“true SOC”).
To quantify the potential benefits of SOC regeneration, we simu-
late two SOC regeneration scenarios (“regen. SOC”): a uniform
increase of 10 g SOC kg soil
−
1
and SOC regeneration informed
by the Intergovernmental Panel on Climate Change (IPCC) SOC
change factors (Ogle
). For each crop, we compare yield
under three categories of hydroclimatic conditions (drier, mod-
erate, wetter) with and without SOC regeneration.
2 | Materials and Methods
2.1 | Data
We used crop yield and weather data from Choi et al. (
).
Briefly, annual rainfed yields for maize, soybeans, and spring
wheat at county- level were downloaded from the USDA National
Agricultural Statistics Service (USDA NASS
). We used SOC
range of the cropped counties as a criterion for inclusion of each
crop. While sorghum was also reported in Choi et al. (
), the
SOC range of sorghum- cropped counties was too narrow to be
included in this study. We converted yields that were reported in
bushel per acre to kg/ha using crop conversion factors (USDA
ERS
). As our analysis was focused on rainfed agriculture,
we limited our analysis to counties with non- irrigated agri-
cultural comprising at least 10% of harvested area (Butler and
; Ortiz- Bobea et al.
). Weather
data for statistical modeling was downloaded from the PRISM
Climate Group (Oregon State University
), which included
daily minimum and maximum vapor pressure deficit (VPD) and
daily minimum and maximum temperature. Weather data for
IPCC climate classification were downloaded from the NASA
Monthly Historical Water Balance for the CONUS archive, which
included potential evapotranspiration (PET) (NASA
).
Daily root- zone soil water was obtained from the National
Climate Assessment- Land Data Assimilation Systems (NCA-
LDAS) Version 3 (Jasinski et al.
), and we used averaged soil
water (m
3
/m
3
) over the 0–40 cm layer. The gridded PET, VPD,
and soil moisture (SM) data were averaged to county- level after
accounting for grid cells with cropland, based on the Global
Food Security- Support Analysis Cropland Extent 2010 North
American 30 m data (Massey et al.
). County boundaries
were based on the map from the 2017 US Census Bureau.
Soil organic matter (SOM), sand, and clay values were extracted
from gSSURGO (Soil Survey Staff
). The gSSURGO da-
tabase is organized as a series of polygons, termed map units,
which are composed of component units. Soils information is
reported at the level of component unit with variable soil depths.
We used the
mpspline2
package in R (O'Brien
) to spline soil
properties to a consistent 0–40 cm layer, and then averaged soil
properties to the map unit level based on the proportional area
of component units. We then converted soil data to raster for-
mat and applied the same cropland filter used for SM and VPD
data, described above, to calculate county- average soil data. Soil
organic matter was converted to soil organic carbon via multi-
plication by 0.58 (Pribyl
). Counties with greater than 100 g
SOC kg soil
−
1
(17% OM) were deemed extreme (Kane et al.
and excluded from subsequent analyses.
2.2 | Plant- Available Water
We calculated plant- available water using the estimates of water
held at permanent wilting point and field capacity based on the
county- specific sand, clay, and SOM values derived from gS-
SURGO and pedotransfer functions (Saxton and Rawls
).
Specifically, if volumetric water was less than water held at
permanent wilting point, we used 0 for plant- available water.
If volumetric water was between field capacity and permanent
wilting point, we calculated plant- available water as the differ-
ence between volumetric water and water held at permanent
wilting point. If volumetric water was greater than water held at
field capacity, we calculated plant- available water as the differ-
ence between water held at field capacity and permanent wilt-
ing point.
2.3 | Soil- Agnostic Water Supply
The effect of SOC on crop yield could manifest through an ef-
fect of SOC on exposure to different water contents throughout
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Global Change Biology,
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the growing season (Bagnall et al.
). To the extent this
is the case, including raw water content values in our model
could prevent accurate estimation of SOC effects on yield. We
therefore aimed to calculate a water content index that would
disregard soil edaphic influence on water content and instead
reflect purely the influence of water input from precipitation
and water loss from evapotranspiration. Therefore, for each
crop, we identified the best- fitting linear model of LDAS SM
(0–40 cm) using a candidate set of predictors: vapor pressure
deficit (VPD), precipitation (
P
), and daily average tempera-
ture (
T
) on the current day and preceding day, soil water
the preceding day (SM
t
=
−
1
) and the interaction of VPD and
daily average temperature on both current and preceding day
(VPD ×
T
av
). Best- subset selection was performed on a ran-
dom 10% subsample of county- days using the
leaps
package
in R (Lumley
), with the best model identified by AIC
(Table
). We extracted model intercept and coefficients for
each predictor variable and applied these recursively to each
day and county in the dataset. In this approach, we initial-
ized the calculation of the water supply index for each county
with a single starting SM value (0.3), but every subsequent
SM value was calculated using weather input specific to that
county and day as mediated by the global influence of weather
on SM derived from the entire dataset. The SM values for the
preceding day were recursively used as input to calculate SM
on the current day.
2.4 | County Clusters
Statistical models of panel data often control for time- invariant
factors by including fixed effects for spatial units. While these
fixed effects can be composed of a single county for some ap-
plications (Choi et al.
), in order to leverage variability
in SOC to estimate the effect of SOC on yield and yield sta-
bility, larger clusters are needed. At the same time, clusters
should not be so large as to introduce unmitigated variability
in yield within the clusters. Previous studies seeking to iden-
tify between- county spatial drivers have leveraged variability
within states (Kane et al.
). However, using states as the
spatial unit introduces unnecessary variation in ecological
conditions within the state, as well as uneven variation in the
range of ecological conditions between states. We therefore
developed a process to use size- constrained clustering in the
scclust
package in R (Savje et al.
) to delineate ecologically
relevant clusters.
First, we identified variables that influenced yield (average
growing season precipitation, temperature, and VPD; lati-
tude and longitude) and identified the change in each of these
variables that corresponded to a 15% distance along the total
yield range for each crop. We did this by regressing average
county- level yield of each crop against each of these five vari-
ables, fitting with either a linear or quadratic model based on
visual inspection of the relationships. We then determined the
change in predictor variable that was associated with the fixed
change in yield. For quadratic relationships, this range was
determined by taking the derivative of the slope at the 25th,
50th, and 75th percentile of the predictor data and then aver-
aging these slopes.
Then, we applied size- constrained clustering (
scclust
package)
across a range of cluster sizes. At each cluster size, we checked
the proportion of biophysical clustering variables (average
growing season precipitation, temperature, and VPD; latitude
and longitude) for which the range was smaller than the range
associated with 15% of the yield range, and defined “success”
as the range of the biophysical variable in the cluster not ex-
ceeding the range associated with 15% of the yield range. We
chose the cluster size (number of counties) that corresponded
to a 75% success of these tests. To evaluate how the choice of
threshold for crop yield range influenced model output, we
also evaluated the use of 10% and 20% of the crop yield range
in the clustering procedure for the SOC regeneration scenario
(Table
).
2.5 | Statistical Regression Model
We adapted a statistical regression framework that examines the
relationship between crop yield and a matrix of daily SM and
VPD exposure (Choi et al.
; Rigden et al.
) by incorpo-
rating SOC into this framework. We used the state- specific full
growing seasons of Choi et al. (
) to delineate calendar days
used in the statistical model. Daily water supply (plant- available,
volumetric, or soil- agnostic), and VPD values were binned into
their 0–20th, 20th–80th, and 80th–100th percentiles (Table
).
We included interaction of SOC with each water supply- VPD bin
to analyze the response of rainfed yields
Y
in county cluster
i
and year
t
:
where
X
d,s,i,t
is the exposure time (% of growing season) to each
VPD
d
and water supply
s
bins. We excluded one of the nine
water supply- VPD bins to avoid perfect multicollinearity of the
explanatory variables.
𝛽
d,s
are the coefficients for % of grow-
ing season exposure to each water supply- VPD conditions, and
they are interpreted as the change in yield (kg/ha/%) relative
to the excluded bin. The interaction of SOC with water- supply-
VPD bin is described by
SOC
i
⋅
𝜃
d,s
.
Z
i,t
is the exposure time (%)
to low temperature with
𝛾
as its coefficient; for spring wheat,
the effect of exposure to low temperatures (
Z
i,t
) was excluded
(Choi et al.
).
f
i
are year- level fixed effects that account for
changes in technology or policy, and
𝛿
t
are the county cluster
fixed effects, described above, that account for spatial variabil-
ity. Performance of models for all crops and water supply scenar-
ios are shown in Table
We used the
predict()
function in R (v 4.2.3) and SOC values with
either a uniform 10 g kg soil
−
1
increase or an increase in SOC
informed by IPCC SOC change factors (Ogle
) to calculate
projected changes in crop yield dynamics in the modeled SOC
regeneration scenario, based on the fitted model described in
Equation (
). To visualize how SOC moderates the effect of ex-
posure to hydroclimatic conditions on crop yield, we again used
the
predict()
function to generate crop yield at the 10th, 50th,
and 90th percentile of SOC by modifying the SOC variable in
the dataset.
(1)
Y
i,t
=
3
∑
d
=
1
3
∑
s
=
1
(
X
d,s,i,t
𝛽
d,s
+
X
d,s,i,t
SOC
i
𝜃
d,s
)
+
Z
i,t
𝛾
+
SOC
i
𝜓
+
f
i
+
𝛿
t
+ ∈
i,t
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2.6 | Hydroclimatic Year Clustering
To classify counties and years based on hydroclimatic condi-
tions and modeled yield, we performed unsupervised cluster-
ing using a combination of water supply percentile bins and
VPD bins (described above), and yield. Yield was scaled to a
0–100 range to ensure equal weighing with the hydroclimatic
exposure bins, which were in the 0–100 range. To determine the
optimal number of clusters, we conducted a silhouette analysis
on a random subsample of the data (
n
= 10,000 for maize and
soybeans;
n
= 1000 for spring wheat). For each candidate num-
ber of clusters (
k
= 2–6), we computed k- means partitions using
the SimpleKMeans function from the RWeka package (Hornik
et al.
; Witten and Frank
) and calculated the average
silhouette width. Based on this analysis, we selected
k
= 3 for
all crops.
We then performed k- means clustering on the full dataset using
k
= 3 and assigned each county and year to one of three clusters.
After visual inspection of yield and VPD trends across clusters,
the clusters were labeled post hoc based on the average repre-
sentation of soil water supply bins within each group: clusters
with higher frequency in the lowest water percentile bins were
labeled as “drier,” those with intermediate frequency as “mod-
erate,” and those with higher representation in the highest soil
water bins as “wetter” (Table
).
2.7 | Effects of SOC Regeneration on Yield
and Production
We explored two SOC regeneration scenarios: (1) “Regen IPCC”: in-
creases in SOC guided by IPCC SOC change factors and (2) “Regen
+ 10”: a uniform SOC increase of 10 g SOC kg soil
−
1
. For the IPCC
scenario, counties were assigned climate groups based on the clas-
sification scheme for default climate regions (Reddy et al.
Across all crops, counties were predominantly classified as warm
temperate moist (52%), followed by cool temperate moist (23%),
warm temperate dry (14%), cool temperate dry (11%), and tropical
dry (1%). Initial gSSURGO concentrations for SOC were multi-
plied by F
MG
factors for zero- tillage and F
I
factors for “high with-
out manure input”, representing a no- till cover cropped system
). Yield differences for each scenario were calculated as
[predicted crop yield under SOC regeneration]
−
[predicted crop
yield under true SOC]. Production differences were calculated as
the sum of [yield difference × hectares in crop production] across
all counties for a single year. Values outside the 1st–99th percen-
tile range within crop were excluded prior to analysis and visu-
alization to reduce the influence of extreme outliers. Differences
in crop yield between SOC scenarios or hydroclimatic year type
were evaluated within crop using paired Wilcoxon signed- rank
tests comparing each SOC regeneration scenario to the baseline
(true SOC), with Bonferroni correction applied for multiple test-
ing. Differences in yield response among hydroclimatic year types
were evaluated separately within crop and scenario using analysis
of variance followed by Tukey's HSD test.
3 | Results and Discussion
3.1 | Yields and Resilience Benefits From SOC
Regeneration Across All Years
Under projected SOC regeneration scenarios, crop yields and yield
resilience increased for all crops (Figure
). Average absolute yield
increases were greater under a 10 g SOC kg soil
−
1
regeneration
than IPCC- informed SOC regeneration, ranging from 384 kg ha
−
1
(maize) to 160 kg ha
−
1
(soybeans) to 94 kg ha
−
1
(spring wheat). Yield
FIGURE 1
| Changes in crop yield and yield resilience under two modeled soil organic carbon (SOC) regeneration scenarios, shown for all years.
(A) Yield and yield differences, (B) coefficient of variation (CV) and CV differences, (C) standard deviation (SD) and SD differences. True SOC = ob-
served SOC. Regen IPCC = regenerated SOC, increased from true SOC based on IPCC SOC change factors. Regen +10 = regenerated SOC, increased
from true SOC by 10 g kg soil
−
1
for all counties. Boxes (main plots) show the interquartile range with median lines; whiskers extend to the most ex-
treme values within 1× the interquartile range. Circles (inset plots) represent differences in yield between each SOC regeneration scenario and true
SOC. Prongs on circles represent 1st and 3rd interquartile range. The coefficient of variation (CV) and standard deviation (SD) are calculated within
counties over all years. Asterisks indicate difference between true SOC and nearest SOC regeneration scenario, ***
p
< 0.001 (Wilcoxon signed rank
test with Bonferroni correction). Water supply (WS) conditions delineated with plant- available water (0–40 cm).
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increases under IPCC- informed SOC regeneration were smaller
(129 kg ha
−
1
for maize; 53 kg ha
−
1
for soybeans; 19 kg ha
−
1
for spring
wheat). These yield increases were associated with greater yield
resilience, as measured by decreases in the coefficient of variation
(CV) and standard deviation (SD) of yields (Figure
). The re-
duction in SD with the 10 g kg
−
1
SOC regeneration was largest in
maize (from 1652 to 1619 kg ha
−
1
) and smallest for soybean (from
454 to 442 kg ha
−
1
). The reduction in CV with SOC regeneration
was largest for spring wheat (from 23.7% to 21.3%) and smallest for
soybean (19.5%–17.4%).
Yield improvements in the 10 g kg soil
−
1
regeneration scenario
were larger because average SOC change under the IPCC SOC
factors we selected was smaller. For maize, the mean SOC in-
crease was 3.0 g SOC kg soil
−
1
in the IPCC scenario (interquartile
range: 2.1–4.6). This magnitude of SOC increase was partly due
to the choice of SOC factors, which did not include the highest F
I
factors that represent manure input (Ogle
). Manure inputs
are infeasible over large areas but, when applied at high rates,
can increase SOC far above the 10 g SOC kg soil
−
1
change repre-
sented in the uniform regeneration scenario (Gulde et al.
).
Thus, the IPCC regeneration scenario represents a moderate
SOC increase, in which SOC changes are modulated by climate.
Increases in SOC are lower in more arid areas, which reflects
the limitation to carbon inputs to soil that constrain accumula-
tion of SOC under regenerative management (King et al.
).
The uniform SOC increase scenario represents a higher, on av-
erage, SOC increase that is feasible under some conditions with
long- term regenerative management (King et al.
), or exog-
enous C inputs. This scenario allows for the examination of the
interaction of SOC regeneration with hydroclimatic conditions,
without a confounding influence of SOC change.
Regenerating SOC in croplands is promoted as a way to restore some
of the SOC lost from land conversion to agriculture (Sanderman
et al.
) and advance nature- based climate solutions (Amelung
et al.
; Minasny et al.
). While the climate mitigation poten-
tial of SOC- regenerating practices is relatively modest (McClelland
et al.
), realizing this potential depends on farmers' willing-
ness to adopt regenerative practices. Soil carbon markets aim to
incentivize such adoption (Kreibich and Hermwille
), but
uptake has been limited, in part due to barriers to market entry.
Instead, farmers often cite on- farm co- benefits—rather than cash
payments—as motivations for implementing regenerative prac-
tices (Buck and Palumbo- Compton
). Although inherent soil
properties, such as texture, may also influence crop yield resil-
ience (Qiao et al.
), since texture is not usually considered a
management- responsive soil property, our analyses focus on SOC.
Our results suggest that investing in SOC can produce co- benefits
for farmers, indicating potential for SOC regeneration to “incentiv-
ize itself” via yield increases and yield stabilization.
Soil physicochemical properties, including SOC, can influ-
ence soil water status (Araya and Ghezzehei
; Bagnall
et al.
). We therefore developed and applied a soil- agnostic
water supply index to reveal solely the influence of climatic
drivers on soil water supply (Table
). We replaced plant-
available soil water (shown throughout Main text) with the
soil- agnostic water supply or volumetric water in the statisti-
cal model. We found that key results emerging from analyses
are robust to different ways of conceptualizing water supply.
For Figure
, alternative water supply results (Figures
and
) reveal very similar effects of SOC on crop yield and yield
resilience.
3.2 | Yield Benefits of SOC Are Greatest in
Moderate and Wetter Years
We show that crop yield benefits from SOC regeneration were
greatest in moderate or wetter years, relative to drier years, for
maize and soybeans (Figure
). This finding contrasts with
widely held expectations and prior works (Bot and Benites
Bradford et al.
; Kane et al.
; Lal
), which suggest
that SOC provides the greatest yield benefits under extreme
drought. This discrepancy may stem from methodological dif-
ferences in how climatic conditions are defined. Prior studies
typically isolate drought years, combining all non- drought years
into reference groups (Iizumi and Wagai
; Kane et al.
Mahmood et al.
). As a result, yield benefits from SOC may
appear strongest during drought simply because the comparison
group(s) includes both optimal and suboptimal years for SOC
effects (see Figure
). In contrast, we examine growing- season
exposure to the full spectrum of hydroclimatic conditions
(Figure
), then use k- means clustering to identify three data-
informed hydroclimatic clusters across crops (Table
), cor-
responding to wetter, drier, and moderate years. Furthermore,
because we define hydroclimatic exposure in terms of absolute,
rather than locally normalized, water supply and evaporative de-
mand, our hydroclimatic conditions are consistent within each
crop (Table
), which may also contribute to the identification
of extreme drought as a suboptimal condition for SOC- mediated
benefits to crops.
Crop yield benefits can also be conceptualized in terms of pro-
duction by multiplying yield benefits by total harvested area for
each year. We show that the frequency of hydroclimatic condi-
tions moderates the impact of these hydroclimatic conditions
on crop production. For instance, moderate years were approx-
imately 2.3–2.8 times more likely to occur than either drier or
wetter years (Table
). Therefore, production benefits from
SOC were highest for moderate years for all crops (Figures
). Our analyses reveal a predominant and overlooked pathway
through which SOC improves cropping system output—by sup-
porting yield under the moderate growing conditions that occur
most frequently.
3.3 | Protective Effects of SOC Across the Full
Spectrum of Hydroclimatic Conditions
When considering the full range of hydroclimatic conditions
outlined in our model (Figure
), the ability of SOC to promote
yield was most pronounced under a specific condition: moder-
ate water supply and high atmospheric water demand (Figure
WS
medium
WD
high
panels). In Figure
, each panel displays rela-
tionships between growing season exposure to panel- specific
hydroclimatic growing conditions and crop yield. Each hydro-
climatic condition is defined by specific thresholds of plant-
available soil moisture and VPD (Table
). The lines within
each panel represent predicted yield at different levels of SOC.
Differences between the lines in each panel therefore signify the
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interaction of SOC with increasing exposure to each hydrocli-
matic condition.
Our finding that the greatest benefits from SOC occur under
moderate water supply, specifically WS
medium
WD
high
, contra-
dicts expectations that SOC is most effective at protecting crops
from drought (i.e., low water supply and high atmospheric water
demand, WS
low
WD
high
). However, the result also corroborates
our finding that yield effects from a simulated SOC increase
were usually smaller in drier years than moderate or wetter
years (Figure
). The significant, but relatively limited, effect
of SOC in increasing crop yields due to exposure to drought
(WS
low
WD
high
) as compared to other growing conditions
(Figure
) likely reflects the inability of SOC to increase water
supply—or provide other benefits—when plant- available water
is consistently low.
To understand why SOC benefitted yield under moderate water
supply more so than drought, we looked at how often the soil
reached its maximum water storage capacity (i.e., field ca-
pacity, Figure
). First, we identified extreme conditions:
years and counties in which exposure to either WS
low
WD
high
(drought) or WS
medium
WD
high
was in the 90th percentile or
greater. Then, we counted the number of days for which plant-
available water was at its maximum, as the influence of SOC on
available water storage is expected to be realized by increasing
water held at this maximum, which can then be drawn down
by transpiration. The relatively few days in extreme drought
years (WS
low
WD
high
) in which plant- available water reached
its maximum (mean = 0.8 days; Figure
) indicates that water
supply was limited by inputs of water from precipitation, rather
than by the capacity of soil to store water. In contrast, years and
counties with extreme WS
medium
WD
high
conditions exhibited
more days in which plant- available water reached its maximum
(mean = 7.9 days, Figure
). These are the conditions under
which SOC regeneration could augment plant- available water
storage, which aligns with our observation that the interaction
of SOC with WS
medium
WD
high
was greater than for drought. Put
succinctly, SOC cannot store more water if there is no water
to store.
The protective effect of SOC under crop exposure to these
medium water supply and high atmospheric water demand
(Figure
, WS
medium
WD
high
panels) may also relate to inter-
actions between water, heat stress, and nutrient availability.
First, exposure to high atmospheric water demand (WD
high
)
correlates with warmer air and soil temperatures, so crops
may experience heat stress on a portion of medium water sup-
ply and high atmospheric water demand (WS
medium
WD
high
)
days (Grossiord et al.
; Lobell et al.
). Given the pres-
ence of soil water, SOC may increase the water transpired by a
growing crop, thus sustaining gas exchange and cooling leaves
(Li et al.
). Second, soils high in SOC under warm condi-
tions with moderate soil water represent ideal conditions for
mineralization of soil organic nitrogen (N) to plant- available
forms (Booth et al.
; Guntiñas et al.
). Nutrient sup-
ply can help crops withstand heat stress (Waraich et al.
in addition to supporting productivity. Third, high SOC may
FIGURE 2
| Projected changes in crop yield under two modeled soil organic carbon (SOC) regeneration scenarios, shown for clusters of hydrocli-
matic years. All outcomes shown for maize (A), soybeans (B), and spring wheat (C). Regen IPCC = regenerated SOC, increased from true SOC based
on IPCC SOC change factors. Regen +10 = regenerated SOC, increased from true SOC by 10 g kg soil
−
1
for all counties. Types of hydroclimatic years
shown along x axis are identified based on k- means clustering of unique counties and years. Boxes (main plots) show the interquartile range with
median lines; whiskers extend to the most extreme values within 1× the interquartile range. Circles (inset plots) represent differences in yield be-
tween each SOC regeneration scenario and true SOC. Prongs on circles represent 1st and 3rd interquartile range. Letters beneath inset circles indicate
statistically distinct yield responses to SOC regeneration between weather conditions within a SOC regeneration scenario, as determined by Tukey's
Honest Significant Difference (HSD) test (
α
= 0.05) following a one- way ANOVA. Water supply (WS) conditions delineated with plant- available water
(0–40 cm). These analyses with different water supply indices (soil- agnostic and volumetric) are shown in Figures
and
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7 of 13
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2026
enhance capacity for crop nitrogen or water capture due to soil
structural improvements (King et al.
). As testing these
mechanisms directly is beyond the scope of this work, future
experimental or process- based model studies are needed to
validate the role of each mechanism.
3.4 | Spatial Variability in Crop Response to SOC
Regeneration
The spatial distribution of yield responses to SOC regeneration
(Figure
) reflects several factors, including the county- level
FIGURE 3
| Soil organic carbon (SOC) moderates the effect of exposure to hydroclimatic conditions on crop yield. (A) Growing season exposure
to different hydroclimatic conditions, averaged across all crops, where tile size is proportional to growing season exposure. X- axis is water supply
(WS): Plant- available soil water, 0–40 cm. Y- axis is water demand (WD): Vapor pressure deficit (VPD). The average percentage of growing season
exposure is noted within tile. Shades of orange correspond to low soil water, shades of green to medium soil water, and shades of purple to high soil
water. Darker shades of each color correspond to higher VPD. Percentile thresholds for each crop are provided in Table
. (B–D) Effect of increasing
exposure to hydroclimatic conditions on crop yields of maize (A), soybeans (B), and spring wheat (C) at three different levels of SOC (solid = 90th SOC
percentile; dashed = 50th SOC percentile; dotted = 10th SOC percentile). Asterisks indicate the
p
- value of the interaction effect between hydroclimat-
ic condition and SOC: ***
p
≤
0.001; **
p
≤
0.01; *
p
< 0.05. Each plot also includes a joint density plot of yield data by hydroclimatic condition. Model
equation in Section
. Water supply (WS) conditions delineated with plant- available water (0–40 cm). These analyses with different water supply
indices (soil- agnostic and volumetric) are shown in Figures
.
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FIGURE 4
| Legend on next page.
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9 of 13
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2026
hydroclimatic conditions (i.e., Figure
) and initial SOC con-
centrations (in the 10 g kg
−
1
SOC increase scenario), onto which
are layered the feasibility of SOC regeneration, as determined
by IPCC SOC change factors (in the IPCC- informed scenario).
Counties with lower initial SOC content exhibited greater in-
creases in crop yield and yield resilience relative to soils with
higher initial SOC content across all crops (Figures
),
suggestive of a nonlinear response to SOC regeneration. Current
estimates of the thresholds of SOC concentration at which crops
no longer respond to increases in SOC differ wildly between
studies and crops, from < 12 g kg
−
1
SOC (Vendig et al.
) to
> 40 g kg
−
1
SOC (Ma et al.
); our results converge in a more
moderate SOC response threshold, with a range of initial SOC
concentrations of ~20–30 g SOC kg soil
−
1
. The IPCC- informed
SOC regeneration scenario shows the intersection of these
conditions, for instance, in the western range of spring wheat
(Figure
). This area is classified as “cool temperate – dry” in
the IPCC classification, which has lower SOC change factors
relative to other climate groups in this study. Since the IPCC
SOC change factors are multiplied by the initial SOC content,
soils with lower initial SOC increase by a lower absolute amount
compared to soils with a higher initial SOC content. The west-
ern range of spring wheat is also characterized by a low initial
SOC content, resulting in a minimal SOC increase (< 1 g SOC
kg soil
−
1
in some counties) that corresponds to the minimal pre-
dicted yield change.
3.5 | Implications for Climate Mitigation
and Adaptation
Our results imply that regenerating SOC can simultaneously pro-
mote crop yield and crop yield resilience, offering a “win- win”
for climate change adaptation and mitigation. The most extreme
hydroclimatic conditions, in terms of drought, are associated
with reduced benefits of SOC to crops, compared to moderate
conditions. Therefore, promoting SOC regeneration for drought
resilience is not inaccurate, but also does not convey the greatest
service that SOC provides or the greatest potential benefits of
SOC regeneration. Indeed, the utility of future SOC regeneration
relative to historical climates may be reduced relative to histor-
ical climates if drought conditions become more severe or more
prevalent. The benefits the SOC provides for crops—including
water storage and nitrogen supply—require soil water in order
to be effectively delivered.
Author Contributions
Eunkyoung Choi:
writing – review and editing, data curation, for-
mal analysis, visualization.
Nathaniel D. Mueller:
writing – review
and editing, conceptualization, formal analysis, visualization.
Alison
E. King:
writing – original draft, writing – review and editing, data
curation, conceptualization, formal analysis, visualization.
Jesse
Burkhardt:
writing – review and editing, formal analysis, visualization.
Acknowledgments
We thank Chris Pires for organizational support.
Funding
A.E.K. was supported by the Colorado State University Soil and Crop
Sciences Department and Hatch Proposal ME022510 through the Maine
Agricultural Forest and Experiment Station. N.D.M. was supported by
AI- LEAF (AI Institute for Land, Economy, Agriculture and Forestry),
the USDA National Institute of Food and Agriculture (NIFA), and the
National Science Foundation (NSF) National AI Research Institutes
Competitive Award no. 2023- 67021- 39829.
Conflicts of Interest
The authors declare no conflicts of interest.
Data Availability Statement
The data that support the findings of this study were derived from
the following resources available in the public domain: USDA NRCS
Geospatial Data Gateway—gSSURGO,
https:// gdg. sc. egov. usda. gov/
—
USDA National Agricultural Statistics Service,
—PRISM Climate Group,
http:// prism. orego nstate. edu
—
National Climate Assessment- Land Data Assimilation System,
doi. org/ 10. 1175/ JHM- D- 17- 0234. 1
—Global Food Security-
Support
Analysis Cropland Extent 2010 N,
https:// www. earth data. nasa. gov/
data/ catal og/ lpclo ud- gfsad 30nac e- 001
-
NASA Monthly Historical
Water Balance Products for the CONUS
−
https:// data. nasa. gov/ datas
et/ month ly- histo rical - water - balan ce- produ cts- for- the- conus
. Code and
processed data used for analyses are archived at
.
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Supporting Information
Additional supporting information can be found online in the
Supporting Information section.
Figure S1:
Projected changes in crop
yield and yield stability under a modeled soil organic carbon (SOC) re-
generation scenario, shown for all years. (A) Yield and yield differences,
(B) Coefficient of variation (CV) and CV differences, (C) Standard devi-
ation (SD) and SD differences. Regen. = regenerated SOC, increased
from true SOC by 10 g kg soil
−
1
for all counties, with minimum values
determined by the lowest SOC observed across all counties for each
crop. The coefficient of variation (CV) and standard deviation (SD) are
calculated within counties over all years. Asterisks indicate difference
between SOC scenarios, ***
p
< 0.001 (Wilcoxon signed rank test). Water
supply (WS) conditions delineated with soil- agnostic water (0–40 cm).
Figure S2:
Projected changes in crop yield and yield stability under a
modeled soil organic carbon (SOC) regeneration scenario, shown for all
years. (A) Yield and yield differences, (B) Coefficient of variation (CV)
and CV differences, (C) Standard deviation (SD) and SD differences.
Regen. = regenerated SOC, increased from true SOC by 10 g kg soil
−
1
for
all counties, with minimum values determined by the lowest SOC ob-
served across all counties for each crop. The coefficient of variation
(CV) and standard deviation (SD) are calculated within counties over all
years. Asterisks indicate difference between SOC scenarios, ***
p
< 0.001
(Wilcoxon signed rank test). Water supply (WS) conditions delineated
with volumetric soil water (0–40 cm).
Figure S3:
Projected changes in
crop yield under a modeled soil organic carbon (SOC) regeneration sce-
nario, shown for clusters of hydroclimatic years. All outcomes shown
for maize (A), soybeans (B), and spring wheat (C). Types of hydrocli-
matic years shown along x axis are identified based k- means clustering
of unique counties and years. Boxplots represent predicted yield under
true SOC (lighter colors) or regenerated SOC (darker colors). Circles
(inset plots) represent differences in yield. Prongs on circles represent
1st and 3rd interquartile range. Letters beneath inset circles indicate
statistically distinct yield responses to SOC regeneration between
weather conditions, as determined by Tukey's Honest Significant
Difference (HSD) test (
α
= 0.05) following a one- way ANOVA. For visu-
alization, the 1st and 99th percentiles are removed from yield and pro-
duction values. Water supply (WS) conditions delineated with
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Global Change Biology,
2026
soil- agnostic water (0–40 cm).
Figure S4:
Projected changes in crop
yield under a modeled soil organic carbon (SOC) regeneration scenario,
shown for clusters of hydroclimatic years. All outcomes shown for
maize (A), soybeans (B), and spring wheat (C). Types of hydroclimatic
years shown along x axis are identified based k- means clustering of
unique counties and years. Boxplots represent predicted yield under
true SOC (lighter colors) or regenerated SOC (darker colors). Circles
(inset plots) represent differences in yield. Prongs on circles represent
1st and 3rd interquartile range. Letters beneath inset circles indicate
statistically distinct yield responses to SOC regeneration between
weather conditions, as determined by Tukey's Honest Significant
Difference (HSD) test (
α
= 0.05) following a one- way ANOVA. For visu-
alization, the 1st and 99th percentiles are removed from yield and pro-
duction values. Water supply (WS) conditions delineated with soil
volumetric water (0–40 cm).
Figure S5:
Projected changes in crop pro-
duction under a modeled soil organic carbon (SOC) regeneration sce-
nario, shown for clusters of hydroclimatic years. All outcomes shown
for maize (A), soybeans (B), and spring wheat (C). Types of hydrocli-
matic years shown along x axis are identified based k- means clustering
of unique counties and years. Boxplots represent predicted production
under true SOC (lighter colors) or regenerated SOC (darker colors).
Circles (inset plots) represent differences in production. Production dif-
ferences represent the sum of [yield difference × hectares in crop pro-
duction] across all counties for a single year. Prongs on circles represent
1st and 3rd interquartile range. Letters beneath inset circles indicate
statistically distinct yield responses to SOC regeneration between
weather conditions, as determined by Tukey's Honest Significant
Difference (HSD) test (
α
= 0.05) following a one- way ANOVA. For visu-
alization, the 1st and 99th percentiles are removed from yield and pro-
duction values. Water supply (WS) conditions delineated with
plant- available soil water (0–40 cm).
Figure S6:
Projected changes in
crop production under a modeled soil organic carbon (SOC) regenera-
tion scenario, shown for clusters of hydroclimatic years. All outcomes
shown for maize (A), soybeans (B), and spring wheat (C). Types of hy-
droclimatic years shown along x axis are identified based k- means clus-
tering of unique counties and years (Figure
). Boxplots represent
predicted production under true SOC (lighter colors) or regenerated
SOC (darker colors). Circles (inset plots) represent differences in pro-
duction. Production differences represent the sum of [yield differ-
ence × hectares in crop production] across all counties for a single year.
Prongs on circles represent 1st and 3rd interquartile range. Letters be-
neath inset circles indicate statistically distinct yield responses to SOC
regeneration between weather conditions, as determined by Tukey's
Honest Significant Difference (HSD) test (
α
= 0.05) following a one- way
ANOVA. For visualization, the 1st and 99th percentiles are removed
from yield and production values. Water supply (WS) conditions delin-
eated with soil- agnostic water (0–40 cm).
Figure S7:
Projected changes
in crop production under a modeled soil organic carbon (SOC) regener-
ation scenario, shown for clusters of hydroclimatic years. All outcomes
shown for maize (A), soybeans (B), and spring wheat (C). Types of hy-
droclimatic years shown along x axis are identified based k- means clus-
tering of unique counties and years (Figure
). Boxplots represent
predicted production under true SOC (lighter colors) or regenerated
SOC (darker colors). Circles (inset plots) represent differences in pro-
duction. Production differences represent the sum of [yield differ-
ence × hectares in crop production] across all counties for a single year.
Prongs on circles represent 1st and 3rd interquartile range. Letters be-
neath inset circles indicate statistically distinct yield responses to SOC
regeneration between weather conditions, as determined by Tukey's
Honest Significant Difference (HSD) test (
α
= 0.05) following a one- way
ANOVA. For visualization, the 1st and 99th percentiles are removed
from yield and production values. Water supply (WS) conditions delin-
eated with soil volumetric water (0–40 cm).
Figure S8:
Soil organic car-
bon (SOC) moderates the effect of exposure to hydroclimatic conditions
on crop yield. Effect of increasing exposure to hydroclimatic conditions
on crop yields of maize (A), soybeans (B), and spring wheat (C) at three
different levels of SOC (solid = 90th SOC percentile; dashed = 50th SOC
percentile; dotted = 10th SOC percentile). Asterisks indicate the
p
- value
of the interaction effect between hydroclimatic condition and SOC:
***
p
≤
0.001; **
p
≤
0.01; *
p
< 0.05. Each plot also includes a joint density
plot of yield data by hydroclimatic condition. Model equation in
Section
(Equation
). Water supply (WS) conditions delineated with
soil- agnostic water (0–40 cm).
Figure S9:
Soil organic carbon (SOC)
moderates the effect of exposure to hydroclimatic conditions on crop
yield. Effect of increasing exposure to hydroclimatic conditions on crop
yields of maize (A), soybeans (B), and spring wheat (C) at three different
levels of SOC (solid = 90th SOC percentile; dashed = 50th SOC percen-
tile; dotted = 10th SOC percentile). Asterisks indicate the
p
- value of the
interaction effect between hydroclimatic condition and SOC:
***
p
≤
0.001; **
p
≤
0.01; *
p
< 0.05. Each plot also includes a joint density
plot of yield data by hydroclimatic condition. Model equation in
Section
(Equation 4). Water supply (WS) conditions delineated with
volumetric soil water (0–40 cm).
Figure S10:
Number of days during the
maize growing season in which plant- available water reaches its maxi-
mum (calculated as [water held at field capacity]
−
[water held at perma-
nent wilting point]), for counties and years in which exposure to each
hydroclimatic condition (WS
low
WD
high
or WD
med
WD
high
) was in the
90th percentile or greater. The few days of maximum plant- available
water in years with extreme WS
low
WD
high
exposure (orange boxplot; rel-
ative to extreme WD
med
WD
high
exposure shown with green boxplot)
suggests that water supply from soil was limited by water inputs (precip-
itation that infiltrates to soil) rather than soil available water- holding
capacity.
Figure S11:
Map of projected changes in crop yield under a
modeled SOC regeneration scenario in which all counties increase SOC
concentration by 10 g SOC kg soil
−
1
. Changes in crop yield estimated for
maize (A), soybeans (B), spring wheat (C). Model estimates of crop yield
are calculated for every year and county, then averaged within county.
Water supply (WS) conditions delineated with soil- agnostic water
(0–40 cm).
Figure S12:
Map of projected changes in crop yield under a
modeled SOC regeneration scenario in which all counties increase SOC
concentration by 10 g SOC kg soil
−
1
. Changes in crop yield estimated for
maize (A), soybeans (B), spring wheat (C). Model estimates of crop yield
are calculated for every year and county, then averaged within county.
Water supply (WS) conditions delineated with volumetric water
(0–40 cm).
Figure S13:
Yield difference under soil organic carbon
(SOC) regeneration scenario, as a function of initial SOC concentration.
Lines represent smoothing from general additive models (GAMs) of sin-
gle predictor and response variables shown in plots, EDF = effective de-
grees of freedom. Water supply (WS) conditions delineated with
plant- available water (0–40 cm).
Figure S14:
Yield difference under soil
organic carbon (SOC) regeneration scenario, as a function of initial SOC
concentration. Lines represent smoothing from general additive models
(GAMs) of single predictor and response variables shown in plots,
EDF = effective degrees of freedom. Water supply (WS) conditions de-
lineated with soil- agnostic water (0–40 cm).
Figure S15:
Yield differ-
ence under soil organic carbon (SOC) regeneration scenario, as a
function of initial SOC concentration. Lines represent smoothing from
general additive models (GAMs) of single predictor and response vari-
ables shown in plots, EDF = effective degrees of freedom. Water supply
(WS) conditions delineated with volumetric soil water (0–40 cm).
Figure S16:
Coefficient of variation (CV) difference under soil organic
carbon (SOC) regeneration scenario, as a function of initial SOC con-
centration. Lines represent smoothing from general additive models
(GAMs) of single predictor and response variables shown in plots,
EDF = effective degrees of freedom. Water supply (WS) conditions de-
lineated with plant- available (0–40 cm).
Figure S17:
Standard deviation
(SD) difference under soil organic carbon (SOC) regeneration scenario,
as a function of initial SOC concentration. Lines represent smoothing
from general additive models (GAMs) of single predictor and response
variables shown in plots, EDF = effective degrees of freedom. Water sup-
ply (WS) conditions delineated with plant- available (0–40 cm).
Figure
S18:
Nine randomly selected county clusters for maize (A), soybeans
(B), and spring wheat (C). For details on approach to county clusters, see
Section
—Clustering.
Table S1:
Example of model fit for calculation of
soil- agnostic water supply index. Analysis based on volumetric soil
moisture data from National Climate Assessment-
Land Data
Assimilation Systems (NCA- LDAS) Version 3 (1).
Table S2:
Influence of
county cluster size on statistically modeled effect of a uniform 10 g SOC
kg soil
−
1
increase, shown for maize. County cluster sizes are informed
by a percentage of the crop's yield range (10%, 15%, 20%). All analyses in
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2026
the manuscript (i.e., outside this table) are shown using county clusters
defined with 15% yield change.
Table S3:
Crop- specific percentile
thresholds of water supply and water demand, where water supply is
plant- available water (cm
3
cm
−
3
, 0–40 cm). Percentile threshold corre-
spond to those shown in Figure
.
Table S4:
Model fit statistics for the
main statistical model used throughout the manuscript, with true SOC
values as input.
Table S5:
Results of k- means clustering for hydrocli-
matic year types. Average number of observations (No. obs), exposure to
hydroclimatic conditions, and scaled crop yield within each hydrocli-
matic cluster shown for maize, soybeans, and spring wheat. Number of
observations describes unique counties and years. WD = water demand,
WS = water supply. Exposure to hydroclimatic conditions is presented
in percentage of growing season. Yield is scaled 0–100. Water supply
delineated with plant- available water (0–40 cm).
13652486, 2026, 5, Downloaded from https://onlinelibrary.wiley.com/doi/10.1111/gcb.70909 by Hayley Peter-Contesse - Oregon State University , Wiley Online Library on [19/10/2026]. See the Terms and Conditions (https://onlinelibrary.wiley.com/terms-and-conditions) on Wiley Online Library for rules of use; OA articles are governed by the applicable Creative Commons License