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King et al. (2026). Soil Organic Carbon Improves Crop Yield and Yield Resilience

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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

1

  |  Eunkyoung Choi

2

  |  Jesse Burkhardt

3

  |  Nathaniel D. Mueller

2,4

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 (

alison.king@maine.edu

)

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. 

2022

; Ridder 

et al. 

2022

; Rosenzweig et al. 

2002

). 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 

2007

; Wang et  al. 

2023

). Increasing soil organic 

carbon (SOC) is proposed as a strategy to promote crop yield re-

silience under a changing climate (Bradford et al. 

2019

; Chenu 

et al. 

2019

; Paustian et al. 

2016

; Wang et al. 

2023

), often with 

the expectation that SOC will reduce crop yield losses due to 

extreme weather (Bot and Benites 

2005

; Bradford et  al. 

2019

; 

Lal 

2020

). The regeneration of SOC also contributes to cli-

mate change mitigation through increased terrestrial C storage 

(Amelung et al. 

2020

; Minasny et al. 

2017

), 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. 

2023

; Oldfield et al. 

2019

), 

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. 

2021

; Lal 

2020

). 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. 

2022

; Hudson 

1994

; Minasny and McBratney 

2018

; 

Rawls et  al. 

2003

). 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,

 2026

(Baldwin- Kordick  et al. 

2022

; Kane et al. 

2021

; Renwick 

2021

). 

The disconnect between the lack of support for the AWC mech-

anism and evidence that SOC supports yields under drought 

(Kane et  al. 

2021

) 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. 

2005

; King 

et al. 

2020

). 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. 

2024

; 

Rigden et  al. 

2020

). While precipitation is often used as a 

proxy for water supply (Li et  al. 

2019

; Lobell et  al. 

2020

; 

Rosenzweig et al. 

2002

), soil moisture offers a more accurate 

representation by accounting for runoff, drainage, and evapo-

transpiration (Basso and Ritchie 

2014

). 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 

2015

; Carter et  al. 

2018

; Lobell 

et al. 

2011

; Ortiz- Bobea et al. 

2019

; Urban et al. 

2015

; Zhao 

et al. 

2017

). 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 

2019

). 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. (

2024

). 

Briefly, annual rainfed yields for maize, soybeans, and spring 

wheat at county- level were downloaded from the USDA National 

Agricultural Statistics Service (USDA NASS 

2021

). 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. (

2024

), 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 

1992

). 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 

Huybers 

2013

; Choi et al. 

2024

; Ortiz- Bobea et al. 

2019

). Weather 

data for statistical modeling was downloaded from the PRISM 

Climate Group (Oregon State University 

2021

), 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 

2025

).

Daily root- zone soil water was obtained from the National 

Climate Assessment- Land Data Assimilation Systems (NCA- 

LDAS) Version 3 (Jasinski et al. 

2019

), 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. 

2017

). 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 

2015

). 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 

2022

) 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 

2010

). Counties with greater than 100 g 

SOC kg soil

−

1

 (17% OM) were deemed extreme (Kane et al. 

2021

) 

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 

2006

). 

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,

 2026

the growing season (Bagnall et  al. 

2022

). 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 

2024

), with the best model identified by AIC 

(Table 

S1

). 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. 

2024

), 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. 

2021

). 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. 

2017

) 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 

S2

).

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. 

2024

; Rigden et al. 

2020

) by incorpo-

rating SOC into this framework. We used the state- specific full 

growing seasons of Choi et al. (

2024

) 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 

S3

). 

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. 

2024

). 

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 

S4

.

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 

2019

) to calculate 

projected changes in crop yield dynamics in the modeled SOC 

regeneration scenario, based on the fitted model described in 

Equation (

1

). 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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 2026

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. 

2009

; Witten and Frank 

2005

) 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 

S4

).

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. 

2019

). 

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 

(Ogle 

2019

). 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 

1

). 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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Global Change Biology,

 2026

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 

1B,C

). 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 

2019

). 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. 

2008

). 

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. 

2024

). 

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. 

2024

), 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. 

2017

) and advance nature- based climate solutions (Amelung 

et al. 

2020

; Minasny et al. 

2017

). While the climate mitigation poten-

tial of SOC- regenerating practices is relatively modest (McClelland 

et al. 

2025

), realizing this potential depends on farmers' willing-

ness to adopt regenerative practices. Soil carbon markets aim to 

incentivize such adoption (Kreibich and Hermwille 

2021

), 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 

2022

). Although inherent soil 

properties, such as texture, may also influence crop yield resil-

ience (Qiao et al. 

2022

), 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 

2019

; Bagnall 

et al. 

2022

). We therefore developed and applied a soil- agnostic 

water supply index to reveal solely the influence of climatic 

drivers on soil water supply (Table 

S1

). 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 

1

, alternative water supply results (Figures 

S1

 and 

S2

) 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 

2A,B

). This finding contrasts with 

widely held expectations and prior works (Bot and Benites 

2005

; 

Bradford et al. 

2019

; Kane et al. 

2021

; Lal 

2020

), 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 

2019

; Kane et al. 

2021

; 

Mahmood et al. 

2023

). 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 

3

). In contrast, we examine growing- season 

exposure to the full spectrum of hydroclimatic conditions 

(Figure 

3A

), then use k- means clustering to identify three data- 

informed hydroclimatic clusters across crops (Table 

S2

), 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 

S3

), 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 

S5

). Therefore, production benefits from 

SOC were highest for moderate years for all crops (Figures 

S5–

S7

). 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 

3A

), the ability of SOC to promote 

yield was most pronounced under a specific condition: moder-

ate water supply and high atmospheric water demand (Figure 

3

, 

WS

medium

WD

high

 panels). In Figure 

3

, 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 

S3

). 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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Global Change Biology,

 2026

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 

2

). 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 

3

) 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 

S10

). 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 

S10

) 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 

S10

). 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 

3

, 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. 

2020

; Lobell et al. 

2011

). 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. 

2020

). 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. 

2005

; Guntiñas et al. 

2012

). Nutrient sup-

ply can help crops withstand heat stress (Waraich et al. 

2012

) 

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 

S3

 and 

S4

.

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Page 7

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Global Change Biology,

 2026

enhance capacity for crop nitrogen or water capture due to soil 

structural improvements (King et al. 

2020

). 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 

4

) 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 

S3

. (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 

2

. 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 

S8

 and 

S9

.

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Global Change Biology,

 2026

FIGURE 4

    |     Legend on next page.

 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

Page 9

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Global Change Biology,

 2026

hydroclimatic conditions (i.e., Figure 

3

) 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 

S13–S17

), 

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. 

2023

) to 

> 40 g kg

−

1

 SOC (Ma et al. 

2023

); 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 

4E

). 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, 

https:// quick stats. nass. 

usda. gov/ 

—PRISM Climate Group, 

http:// prism. orego nstate. edu

—

National Climate Assessment- Land Data Assimilation System, 

https:// 

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 

https:// zenodo. org/ 

recor ds/ 18916052

.

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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 

 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

Page 12

Figures and page graphics, page 12

12 of 13

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 

2B

). 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 

2B

). 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 

2

 (Equation 

1

). 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 

2

 (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 

2

—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 

 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

Page 13

Figures and page graphics, page 13

13 of 13

Global Change Biology,

 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 

3A

. 

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


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