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ABSTRACT Global warming poses an unprecedented threat to agroecosystems. Although temperature increases are more pronounced during winter than in other seasons, the impact of winter warming
on crop biomass carbon has not been elucidated. Here we integrate global observational data with a decade-long field experiment to uncover a significant negative correlation between winter
soil temperature and crop biomass carbon. For every degree Celsius increase in winter soil temperature, straw and grain biomass carbon decreased by 6.6 ( ± 1.7) g kg-1 and 10.2 ( ± 2.3) g
kg-1, respectively. This decline is primarily attributed to the loss of soil organic matter and micronutrients induced by warming. Ignoring the adverse effects of winter warming on crop
biomass carbon could result in an overestimation of total food production by 4% to 19% under future warming scenarios. Our research highlights the critical need to incorporate winter warming
into agricultural productivity models for more effective climate adaptation strategies. SIMILAR CONTENT BEING VIEWED BY OTHERS WARMING TEMPERATURES LEAD TO REDUCED SUMMER CARBON
SEQUESTRATION IN THE U.S. CORN BELT Article Open access 05 March 2021 CONSERVATION AGRICULTURE IMPROVES SOIL HEALTH AND SUSTAINS CROP YIELDS AFTER LONG-TERM WARMING Article Open access 10
October 2024 WHOLE-SOIL WARMING LEADS TO SUBSTANTIAL SOIL CARBON EMISSION IN AN ALPINE GRASSLAND Article Open access 27 May 2024 INTRODUCTION Over the past decade, rapid global warming has
posed a significant threat to global food security1,2. According to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change3, ongoing global warming has led to a
reduction in crop yields and negatively impacted crop biomass4. As an integral part of ensuring food security, crop biomass directly provides essential food calories for humans5 and
indirectly contributes to protein sources through animal feed6. With a projected world population of 10 billion by 2050, global food demand is expected to increase by ~ 56% compared to 2010
levels7,8. In this context, the decline in crop biomass caused by global warming will make meeting future growth in food demand an increasingly challenging task9,10. Therefore, in view of
the irreversible nature of climate change, it is imperative to grasp the specific ways in which climate change affects crop biomass to protect global food security. The majority of current
research has focused on the impacts of changes in mean annual temperatures on crop yields4,11,12. However, climate warming is more pronounced during winter3,13,14. Studies have revealed that
winter temperatures in northern mid- and high-latitude areas are increasing at a rate exceeding 0.5 °C per decade15. This increase is nearly 1.8 times faster than the rise in mean annual
temperatures, particularly in high-latitude regions15,16. Winter warming is expected to heighten the risk of reduced winter crop yields by breaking dormancy17,18, advancing phenology19,
shortening the growing season20 and photosynthetic activity21, and exacerbating the incidence of pests and pathogens22. Despite limited research on how winter warming affects non-winter
crops, it is important to note that winter warming can change soil temperature and moisture16, which can affect soil fertility23 and influence the growth of these crops. Soil fertility is a
fundamental factor that supports plant growth, playing a crucial role in determining the primary patterns of global crop yields in conjunction with climate24,25. As a cornerstone of soil
fertility, soil organic matter (SOM) can affect crop biomass by sustaining soil moisture and nutrient availability26, thereby promoting root development. Previous studies have indicated that
winter warming can stimulate soil respiration by increasing soil temperatures and altering soil moisture dynamics, which can accelerate SOM decomposition27,28,29. The effects of winter
warming on soil temperatures and moisture can vary by latitude, potentially influencing soil respiration differently across regions. In high-latitude regions, while crops are not cultivated
during winter, intensified winter warming may influence crop growth in the subsequent year through soil-mediated processes30,31. Therefore, further investigation is necessary to elucidate
the mechanism by which winter warming affects crop biomass, particularly considering the involvement of soil processes. Here, we compiled a global database comprising 309 observations of
straw carbon (C) and 1358 observations of grain C contents from 161 field sites worldwide. This database helps us to investigate the potential impact of winter warming on crop biomass
through soil processes (Supplementary Fig. 1). To further explore this relationship and its underlying mechanism, we conducted a decade-long field experiment across three distinct climatic
zones in China: the cold temperate zone (47°26′ N), the warm temperate zone (35°00′ N), and the mid-subtropical zone (28°15′ N). The experiment included two components: an in situ study
(Supplementary Fig. 2) and a soil translocation study. We hypothesised that under consistent climatic conditions and crop types, the reduction in SOM induced by warmer winters would diminish
the soil’s nutrient retention capacity, subsequently leading to a decrease in crop biomass C content. We anticipated this effect would be particularly pronounced at mid-to-high latitudes.
To test this hypothesis, the decade-long in situ study was designed to investigate the impacts of winter warming on crop biomass C across different climatic zones, while the soil
translocation study simulated accelerated SOM decomposition by relocating soils from high-latitude regions to mid- and low-latitude areas. The whole experimental design allowed us to
comprehensively assess the potential impacts of winter warming on crop biomass C while maintaining consistency in climate conditions, crop types and agricultural management practices. Our
findings underscore the significant adverse impact of winter warming on crop biomass, which should not be overlooked. RESULTS To evaluate the impacts of winter warming on crop biomass C, we
employed both a global-scale meta-analysis and our own decade-long field experiments. At the global scale, we utilised a linear mixed-effects model with crop biomass C as the dependent
variable, winter soil temperature as a fixed effect, and climate type as a random effect on the slopes and intercepts (Supplementary Table 1). Our analysis revealed that all three crops
demonstrated negative responses to winter warming, with maize and rice showing more significant negative impacts compared to wheat (Fig. 1a, b). This variation can be attributed to the
coincidence of wheat’s growth period with winter, which may help alleviate some of the adverse effects of winter warming. When both crop type and climate type were considered as random
effects, for every 1 °C increase in winter soil temperature, the global average C content in straw and grain decreased by 6.62 ± 1.65 g kg−1 and 10.21 ± 2.31 g kg−1, respectively (_P_ <
0.05; Fig. 1c, d and Supplementary Table 2). The negative correlation still held across fertilisation treatments (Supplementary Table 3). Consistent with the results of the global
meta-analysis (Fig. 1), our field experiments also showed a significant negative correlation between winter soil temperature and crop biomass C (Supplementary Fig. 3). Notably, whether, in
the global analysis or the field experiments, the decline rate in straw and grain C was more pronounced at mid-to-high latitudes than at low latitudes (_P_ < 0.05; Supplementary Figs. 3,
4 and Supplementary Tables 4, 5). These results highlight the detrimental impacts of winter warming on global crop biomass C, particularly at mid-to-high latitudes. The random forest models
indicated that SOM is the secondary influential factor on crop biomass C, following temperature changes, in both the global analysis and field experiments (Supplementary Figs. 5–7). To
further elucidate the role of SOM, we conducted a soil translocation experiment by relocating Mollisols from high-latitude regions to mid- and low-latitude areas (Fig. 2a). This work spanned
from 2005 to 2015 and ensured consistency between the translocated soils and the local soils regarding climatic conditions, sowing times, photoperiod, crop types and varieties, as well as
fertilisation management and other agricultural practices. We aimed to test the hypothesis that winter warming accelerates the decomposition of SOM, thereby exacerbating the loss of crop
biomass C. Our results revealed that the decline rates in SOM for the translocated soil from Hailun to Fengqiu and from Hailun to Yingtan were 0.97 and 1.13 g kg−1 per °C, respectively (_P_
< 0.05, Supplementary Fig. 8). These rates were significantly higher than those observed in the local soils of Fengqiu and Yingtan, which were 0.47 and 0.26 g kg−1 per °C, respectively.
Furthermore, the decline rates of straw C and grain C in the translocated Mollisols were notably higher than those in the local soils (_P_ < 0.05, Fig. 2b, c). These findings suggest that
the rapid decline in SOM may contribute to the negative impacts of winter warming on crop biomass C, implying that winter warming may influence crop biomass C indirectly through soil
processes. To elucidate the mechanisms underlying how winter warming affects crop biomass C via soil processes, we utilised structural equation modelling (SEM) to evaluate the effects of
soil physicochemical properties, mineral protection, micronutrient availability, enzymatic activity, and microbial diversity on changes in crop biomass C (Fig. 3). Our SEM analysis indicated
that the interaction among winter soil temperature, soil geochemistry, and microbial characteristics could account for 80% of the variability in crop biomass C at high latitude, 42% at
mid-latitude, and 44% at low latitude. An increase in winter soil temperature resulted in a significant decrease in soil mineral activity (path coefficient = − 0.82 to − 0.52, _P_ <
0.001; Fig. 3), thereby reducing the mineral protection of SOM. The decline in SOM further led to a decrease in micronutrients (path coefficient = 0.61–0.93, _P_ < 0.001), significantly
impacting crop biomass C content negatively. In addition, the influence of soil moisture content varied markedly across different latitudes, which could be associated with the occurrence of
freeze-thaw cycles in the region. In high latitudes, the increase in soil moisture content during winter adversely affected microbial diversity (Fig. 3a); whereas in mid to low latitudes,
the absence of freeze-thaw activity allowed moisture content to enhance microbial extracellular enzymatic activities or diversity (Fig. 3b). These findings suggest that winter warming leads
to depletion of SOM and micronutrients, which ultimately resulting in a reduction in crop biomass C. DISCUSSION Drawing from a synthesis of global datasets and unique, decade-long soil
latitudinal translocation experiments, our study elucidated the impact of winter warming on crop biomass C and the underlying soil processes (Fig. 4). The pronounced increase in winter soil
temperatures attenuates the protective effect of minerals on SOM, while concurrently enhancing microbial proliferation and the extracellular enzyme activity32. This elevated winter warmth
accelerates the degradation of SOM, potentially leading to the premature release of essential nutrients crucial for plant growth from the SOM reserves33. A significant decrease in SOM
markedly curtails the availability of micronutrients (Supplementary Fig. 9) such as Fe, Zn, Mn, and Cu—cofactors integral for enzymatic reactions essential to plant carbohydrate synthesis34
and overall growth35. Consequently, the depletion of these micronutrients could induce enduring adverse effects on crop carbohydrate synthesis, potentially manifesting in subsequent years or
beyond, ultimately resulting in further reductions in crop biomass C. The adverse effects of winter warming on crop biomass C were more pronounced at high latitudes compared to middle and
low latitudes. This discrepancy can primarily be attributed to the higher frequency of freeze-thaw cycles at high latitudes, which leads to a more significant depletion of SOM and associated
nutrients under warmer conditions36,37. Our findings revealed that SOM loss accelerated with rising winter soil temperature. Specifically, for each degree of Celsius increase in winter soil
temperature, high-latitude regions experienced a SOM loss of 0.9 g kg−1, which is approximately 1.5 times greater than that observed at middle latitudes and 1.7 times greater than that
observed at low latitudes (Supplementary Fig. 8). In addition to the influence of climate patterns on freeze-thaw cycles, other factors, such as soil type and crop variety, may modulate the
impacts of winter warming, particularly at mid-to-high latitudes8. For instance, clay-rich soils in these regions may exhibit distinct thermal dynamics compared to sandy soils prevalent at
lower latitudes38. Such variations in soil properties can significantly affect the rate of SOM decomposition and nutrient release, thereby altering the overall consequences of winter warming
on agricultural productivity. To ensure the impact of winter warming on crop biomass C is appropriately addressed in the context of pending global warming, it is crucial to recognise its
potential effects. Incorporating the influence of winter warming into projections suggests that the anticipated reductions in crop productivity due to future global warming could be more
significant than previously estimated, with decreases ranging from 4% to 19% (Fig. 5). These impacts are especially notable in mid-to-high latitude regions, where reductions could span from
8% to 19%, overlapping with several of the globe’s primary agricultural regions39. Ignoring these discrepancies could pose significant risks to current food security and potentially
destabilise and exacerbate the global food supply chain in forthcoming years. Furthermore, it is imperative to recognise the distinction between the mean annual soil temperature and the mean
annual air temperature16. Most current studies have relied on air temperature to forecast future food production, introducing potential uncertainties into these predictions. Our
experimental data revealed that winter soil temperatures were ~ 1.4 °C higher than the corresponding air temperatures (Supplementary Fig. 10). Soil temperature acts as an “amplifier” for
fluctuations in air temperature. Furthermore, root zone temperature is influenced by soil moisture, suggesting that soil water availability may impact the relationship between soil
temperature and crop yield. Given the significant variations in soil temperature and moisture throughout the soil profile, integrating these factors by soil depth is essential for assessing
the effects of climate warming on future food security. Taken together, our study provides initial evidence of the influence of winter warming on crop biomass at regional and global scales.
The results indicate a significant decrease in crop biomass due to winter warming, with high-latitude regions being particularly susceptible. This reduction is primarily driven by the
degradation of SOM and the subsequent loss of micronutrients. Furthermore, our study indicates a notable decrease in SOM associated with winter warming, which may have implications for the
global C cycle. This observed reduction in SOM implies that winter warming could affect the soil’s capacity as a C sink, possibly contributing to increased atmospheric CO2 concentrations.
Given these findings, adaptation strategies should be reevaluated to account for the impacts of winter warming on crop yields and C sequestration. Breeding programmes may need to focus on
developing crops with enhanced photosynthetic efficiency to compensate for the reduced growing season and decreased soil nutrients. While our study focuses on inorganic fertilisers, it is
essential to consider the role of organic fertilisers in future agricultural practices. Nutrient management practices such as organic fertilizer input can promote crop growth and biomass
accumulation, potentially offering a sustainable approach to maintaining crop yields under changing environmental conditions. These adjustments are crucial for sustaining agricultural
productivity, ensuring global food security, and supporting climate change adaptation and mitigation efforts. METHODS GLOBAL DATA COMPILATION Using the Web of Science
(http://apps.webofknowledge.com), Google Scholar (https://scholar.Google.com) and the China National Knowledge Infrastructure Database (http://www.cnki.net), we searched for all
peer-reviewed articles on crop biomass C published before October 31, 2023, including straw and grain C content. The keywords used were “straw carbon”, “straw starch”, “grain carbon”, “grain
starch”, “seed carbon” or “seed starch”. To avoid potential bias from cropping practices, the data were screened based on the following criteria. (1) Straw C, grain C and grain starch data
were collected from in situ field studies. (2) Only control, fertiliser application or undisturbed treatments were selected. (3) The crops were maize, wheat or rice. (4) To prevent any
short-term disturbance, crop data covering at least one full growth cycle were included. (5) In our global data collection, we specifically included studies that employed inorganic chemical
or mineral fertilisers, excluding those that used organic fertilisers due to the potential for organic matter in these fertilisers to directly increase SOM and thereby interfere with the
results. Finally, we compiled a dataset that included 309 straw C observations from 76 previous papers and 1358 grain C observations from 85 papers. Please refer to the Supplementary Data
for additional details. Only the starch content of the grain was included as grain C in our dataset. This is because few studies have investigated both starch and protein contents in grains.
The protein content is significantly lower (~ 10%) than the starch content (~ 75% to 80%)40,41,42. We converted the grain starch content (%) to the grain C content (%) via the following
equation: $${{\rm{Grain}}}\,{{\rm{C}}}\,{{\rm{content}}}={{\rm{Grain}}}\,{{\rm{starch}}}\,{{\rm{content}}}\times \frac{72}{162}$$ (1) where grain starch content represents the proportion of
starch in the grain, and 72/162 is the relative weight of C in starch based on its molecular formula (C6H10O5)n. Data on crop type, climate type, latitude, longitude, experiment time, straw
C content, grain starch content, SOM, fertilisation rates, different temperatures (mean annual temperature, mean annual soil temperature, mean growing-season temperature, mean growing-season
soil temperature, mean winter temperature, mean winter soil temperature) and different soil moistures (mean annual soil moisture, mean growing-season soil moisture, mean winter soil
moisture) were extracted from the selected articles. In addition, for some observations, these data are not reported in the text. We filled in the missing data using the following global
database. Grain C content was calculated using Eq. (1). Soil organic carbon (SOC), pH, total nitrogen (N), total phosphorus (P), total potassium (K), cation exchange capacity, base
saturation, sand, silt and clay data were obtained from the gridded Global Soil Dataset at a 0.083° spatial resolution (http://globalchange.bnu.edu.cn/research/soilw)43. SOM was converted by
multiplying the SOC by a conversion factor of 1.724. Microbial biomass C and N were obtained from the ORNL DAAC for Biogeochemical Dynamics (https://daac.ornl.gov/)44. The aridity indices
were obtained from the CGIAR-CSI. The monthly air temperatures, soil temperatures and soil moisture were obtained from the Global Land Data Assimilation System (gov/datasets?keywords=GLDAS),
the National Centres for Environmental Prediction (https://disc.gsfc.nasa.gov/datasets?keywords=GLDAS) and the NASA Earth Observatory (https://ldas.gsfc.nasa.gov/gldas/) at a 0.083° spatial
resolution. The monthly temperature was used to calculate the site-level temperatures (including mean annual temperature, mean annual soil temperature, mean growing season temperature, mean
growing season soil temperature, mean winter temperature, and mean winter soil temperature). The monthly moisture was used to calculate the site-level moisture (including mean annual soil
moisture, mean growing-season soil moisture, and mean winter soil moisture). The software Engauge Digitiser (version 11.2) was used to extract the data from the graphs. To determine the key
variables affecting global crop biomass C, we employed a random forest model to evaluate the influence of 27 environmental variables. These variables encompassed various climate factors,
soil geochemical properties, and microbial activity, all of which collectively shape the crop straw and grain C content (Supplementary Fig. 5). The random forest model revealed that while
soil temperature remains a dominant factor influencing crop biomass C, soil moisture also plays a significant role (Supplementary Figs. 5, 6). This result was consistent across different
crop types, including maize, wheat, and rice (Supplementary Fig. 6). In addition, considering the effects of different latitudes on crop biomass C, we divided the global database into two
subdatasets, namely, mid- to high-latitude (> 30°) and low-latitude (≤ 30°). RELATIONSHIP BETWEEN TEMPERATURE AND CROP BIOMASS C Based on the random forest results, we further explored
the important contributions of different temperatures to crop biomass C via hierarchical partitioning (Supplementary Fig. 11). The results indicated that the global winter temperature
accounted for the largest proportion of the variation in crop biomass C (16.5% to 32.9%). This trend is consistent across different crop types, which also showed that winter temperature
exerts the most substantial influence on crop biomass C. Furthermore, the mixed effects model was employed to investigate the effects of temperature fluctuations on crop biomass C45. The
model allows for nested covariance structures, especially for each climate and each crop type relationship nested within the overall relationship. In addition, this approach addresses
unbalanced designs when measuring temperature in the field. For example, as the study sites are dispersed globally, variations in temperature across different locations are influenced by
both geographic factors (such as latitude and altitude) and climate change. To minimise the impact of various climatic regions on temperature fluctuations, we determined the climate type at
the site level using the Köppen climate classification. In addition, there may be variations in the response of different crop types to temperature shifts. Therefore, we incorporated climate
and crop type as random effects to eliminate the impact of variations in geographic location and crop type on temperature. This approach ensures that the contributions of each factor are
accurately reflected, reducing the risk of overstating the influence of temperature. When analysing different crops, only climate type is considered as a random effect. Before conducting the
mixed effects model, we divided our dataset into subdatasets based on the target variables (straw C, grain C), the crop types (maize, rice, and wheat) and the climate types (a total of 10
climate types). Due to limitations in long-term observational data at the same location globally over time scales, we employed differences from different years within the same climate zone
to reflect changes in winter soil temperature46. This approach allows us to control for site-specific factors that may influence crop biomass C and focus exclusively on the effects of
temperature variations. Therefore, in Fig. 1, due to limited long-term observational data at the same location globally over time scales, we used differences from different years within the
same climate zone to reflect changes in winter soil temperature. We ensured consistency between treatments (including control, fertiliser application, and undisturbed) when calculating the
differences, thereby preventing treatment differences from interfering with the results. Figure 2 shows the field experiments we conducted, demonstrating temperature and moisture changes
over 10 years at the same location. For each subdataset, we subtracted all the data from dataset _X__j_ in year _j_ from the data from dataset _X__i_ in the year _i_ (where _i_ > _j_) to
acquire the difference dataset ∆_X__ij_. We then repeated the prior process until all the years had differenced and aggregated all the subsets to obtain the total difference dataset ∆_X_. To
determine the most appropriate model for the dataset, we identified the optimal model by calculating and comparing the AIC and BIC of the various models (Supplementary Table 6). To further
ascertain whether random effects that corresponded to the variations in both the slope and intercept among crops and climates were needed, we evaluated the improvement in model fit between
the null model (no random effect) and three alternative models (random effect on the intercept only, random effect on the slope only, and random effect on the slope and intercept). By
comparing the Akaike information criterion (AIC) values of these models, the random-effects structure that best described each dataset included random variation in both the slope and
intercept. Consequently, to assess the significance of the fixed effects (averages across climate and crop types for the slope and intercept of the crop biomass C in response to
temperature), a random-effects structure including random variation in both the slope and intercept was employed. We utilised bootstrapping to determine the confidence interval and applied
the _t_ test to compare the slopes generated from the mixed-effects models related to the different models47. FIELD EXPERIMENT AND SOIL SAMPLING The experimental sites were located at the
National Field Science Research Stations of the Chinese Academy of Sciences (NFSRS) in Hailun (126°38′ E and 47°26′ N, cold temperate climate zone with soil type Mollisols); Fengqiu (114°24′
E and 35°00′ N, warm temperate climate zone with soil type Inceptisols); and Yingtan (116°55′ E and 28°15′ N, subtropical climate zone with soil type Ultisols). The mean annual temperature
and precipitation were 1.5 °C and 550 mm at the Hailun station, 13.9 °C and 605 mm at the Fengqiu station, and 17.6 °C and 1795 mm at the Yingtan station, respectively. To investigate the
effect of climate warming on crop biomass C, we set up a series of in situ blocks with a size of 1.4 m in length × 1.2 m in width × 1.0 m in depth at three experimental stations in October
2005. These blocks were surrounded by 20 cm thick cement mortar brick walls, paved underneath with quartz sand (3 cm in thickness) and covered on the inside with a tarpaulin to isolate it
from its surroundings. We collected profiles of the three soils in layers at each station. The soil was stratified every 20 cm per layer during excavation to ensure an intact soil matrix.
The soil layers were subsequently transported to the Hailun, Fengqiu and Yingtan experimental stations, where they were poured into the brick cement ponds in the experimental block in the
original order of the soil layers (Supplementary Fig. 2). To simulate accelerated SOM decomposition, we translocated the Mollisols soil profiles from the Hailun station southward to the
Fengqiu and Yingtan stations (Fig. 2a). The cultivation in the translocated soils matched the local soils in terms of climatic conditions, sowing times, photoperiod, crop types and
varieties, as well as fertilisation and other agricultural practices. Maize was planted every year beginning in the spring of 2006 in the regular fertiliser treatment (150 kg N ha-1, 75 kg P
ha-1 and 60 kg K ha-1 in the form of urea, (NH4)2HPO4 and KCl, respectively). All P and K fertilisers and half of the N fertiliser were applied before maize cropping. The other half of the
N fertiliser was applied as a top dressing at the large trumpet stage of maize growth. Three biological triplicates were performed for each treatment. From 2006 to 2015, in situ soil samples
were collected at three sites each year between August and October following the maize harvest. At each site, three composite soil samples were collected, along with three aboveground plant
samples, for a total of 9 plant and soil samples across all three sites. A total of 90 plants and 90 soil samples were collected in situ over the decade. In addition, three aboveground
plant samples and three soil samples were collected at the Fengqiu and Yingtan stations within the translocation experimental sites, resulting in the cumulative collection of 60 plant and 60
soil samples over ten years. For each experimental block, maize straw and grain were collected and weighed. These samples were packaged and transported to the laboratory for drying,
grinding and nutrient analysis. We examined winter soil temperature and moisture in the top 0–20 cm, collecting soil samples from this consistent depth. Five soil cores (2 cm in diameter,
0–20 cm depth) were collected from each block, using a five-point sampling method (one core at the centre and four points at the corners of a square plot). The cores were thoroughly mixed to
generate a composite soil sample. The samples were sealed in polyethylene wrappers, stored on ice and transported to the laboratory. Soils for geochemical analyses were stored at 4 °C, and
soils for DNA extraction were stored at − 80 °C. Furthermore, the soil pH was determined with a glass electrode at a water-to-soil ratio of 2.5:1 (v/w). The SOC content was analysed via
oxidation reactions with potassium dichromate48. The SOM content was estimated using the van Bemmelen factor (1.724) multiplied by the SOC value and is reported as a percentage. The monthly
temperature, soil temperature, and soil moisture were measured at three sites throughout the year with a digital thermometer (Trime TDR, TES-1310, Ltd.)49. In addition, we calculated the
mean annual temperature, mean annual soil temperature, mean growing season temperature, mean growing season soil temperature, mean winter temperature and mean winter soil temperature. The
mean growing-season temperature, mean growing-season soil temperature and mean growing-season soil moisture represent the mean values during the crop reproductive periods at the Hailun,
Fengqiu, and Yingtan experimental sites. Moreover, the mean winter temperature, mean winter soil temperature and mean winter soil moisture indicate the three-month average during minimum
temperature in Hailun, Fengqiu, and Yingtan, respectively. SOIL MINERAL AND MICRONUTRIENT MEASUREMENTS We utilised two distinct extraction methods—sodium pyrophosphate and acidic ammonium
oxalate—to isolate different forms of aluminium (Al)- and iron (Fe)-bearing minerals. The extracted forms of Fe and Al, designated Fep, Alp, Feo, and Alo50, were subsequently subjected to
inductively coupled plasma‒mass spectrometry (ICP‒MS) using a NexION 350x ICP–MS spectrometer (PerkinElmer, USA). Fep includes organo-complexed Fe and dispersible colloidal Fe50,51. Alp
corresponds to Al in humus complexes and, in most soils, can be used to estimate Al in such complexes50. Feo often includes nanogoethite, ferrihydrite, and other short-range-ordered
phases52. Acidic ammonium oxalate-extractable Al (i.e., AlO) is short-range-ordered Al and organo-complexed Al in soils53. Moreover, micronutrients (including available Fe, Mn, Cu, and Zn)
were extracted from soil samples using diethylenetriaminepentaacetic acid54. The micronutrient content in the extracted supernatant was subsequently quantified using an atomic absorption
spectrophotometer (Pin AAciie 900 F, PE, USA). STRAW AND GRAIN C CONTENT MEASUREMENTS Dry combustion is a method widely used for determining plant organic C content. After collecting plant
samples in the field, we used a drying oven to desiccate the straw and grain at 70 °C until a constant weight was achieved. The dried straw and grain were then pulverised using a high-speed
universal grinder. Crop biomass C was then determined by high-temperature combustion using an elemental analyser (Vario EL cube, Elementar Analysensysteme GmbH)55. It should be noted that
for a set of 20 samples, calibration with a standard reference material was carried out to correct for potential errors due to atmospheric variations. At least three analyses were performed
for each sample, and if the standard deviation of the C content exceeded 0.3%, a retest was performed. EXTRACELLULAR ENZYME ACTIVITY ASSAYS Soil α-glucosidase and β-glucosidase activities
were measured using a 4-methylumbelliferone substrate, which was split into high-fluorescence cleavage products upon hydrolysis56. Briefly, 1 g of fresh soil was added to 91 ml of Milli-Q
water and homogenised with a magnetic stirrer for 3 min. For the hydrolases, the resulting suspension (200 μl) was dispensed into 96-well microplates with 50 μl of 4-methylumbbelliferone in
pH buffers. Sixteen replicate wells were set up for each sample and for each standard concentration. The assay plate was incubated in the dark at 25 °C for 3 h to simulate the average soil
temperature. Enzyme activities were corrected using fluorescence quenching. Fluorescence was measured using a microplate reader (EnSpire 2300 Multilabel Reader, Perkin Elmer, Waltham, MA,
USA) with 355-nm excitation and 460-nm emission filters. The activities were expressed as μmol d−1 g−1 soil. MICROBIAL COMMUNITY CHARACTERISATION Microbial genomic DNA was extracted from
soil samples using the MoBio Kit in combination with liquid nitrogen freeze-thawing57. In brief, for each soil sample, microbial DNA was extracted from 1.5 g of soil using grinding and
freeze-thawing methods57 and purified with a PowerSoil DNA Isolation Kit (MoBio Laboratories) following the manufacturer’s protocol. The concentration and purity of the extracted DNA were
tested using a NanoDrop 2000 (Thermo Fisher Scientific, USA). The quality requirements were as follows: concentration ≥ 20 ng μL−1, total concentration ≥ 500 ng, and OD260/280 = 1.8–2.0. DNA
samples were stored at − 80 °C until use. We used a two-step PCR amplification method for library preparation of the 16S rRNA gene (V4 region) and the 18S rRNA gene (V9 region) to improve
sequence representation and quantification58,59. During the first amplification step, 10 ng of DNA from each sample was PCR-amplified for 10 cycles in triplicate in a 25 μl reaction volume
with primers without adaptors. The obtained PCR products were purified and dissolved in 50 µl of deionized water. This initial amplification step avoided potential amplification bias caused
by long tails of adaptors and other added components. During the second amplification step, 15 µl of the PCR products from each sample were amplified using the primers with all adaptors,
barcodes and spacers in triplicate for an additional 15 cycles. A low total number of cycles (25–30 cycles) ensures that the PCR amplification is not saturated and limits amplification
artifacts. Finally, the triplicate amplified products were combined, purified and quantified for subsequent sequencing using the same MiSeq instrument with 2 × 250 base pair kits. The primer
sequences were trimmed from the paired-end sequences and subsequently merged using FLASH60. Any merged sequences with an ambiguous base or a length of < 245 bp for the 16S rRNA gene or
< 330 bp for the 18S rRNA gene were discarded. These high-quality 16S rRNA gene or 18S rRNA gene sequences were processed to generate amplicon sequence variants (ASVs; also known as
unique sequence variants and zero-radius operational taxonomic units (OTUs)) by UNOISE361. PROJECTED LOSS OF TOTAL CROP C CALCULATIONS Total crop C (kg ha−1)62 was defined as the product of
crop biomass (kg ha−1) and crop biomass C content (%) in our study, as shown in Eq. (2). Total crop C encompasses both straw and grain. Previous studies suggest that crop biomass C content
remains relatively stable within certain limits, with straw and grain C content approximately 40% and 42%63,64,65, respectively. By combining global meta-analyses with long-term experimental
data, straw and grain C content change was observed with factors such as climate, soil properties, and management practices, leading to significant differences between actual total observed
crop C and previous estimated total crop C. $${{\rm{Total}}}\; {{\rm{crop}}}\; {{\rm{C}}}_{\left(i,j\right)}={{{\rm{Crop}}}\; {{\rm{yield}}}}_{i}\times {{{\rm{Crop}}}\; {{\rm{biomass}}}\;
{{\rm{C}}}\; {{\rm{content}}}}_{\left(i,j\right)}$$ (2) where _i_ represents different crop components, including straw and grain, and _j_ represents the calculation method, including actual
observed crop biomass C and previous estimated crop biomass C. Linear regression analysis was conducted on decade-long field experiment data, using the time of the experiment as the
explanatory variable and total crop C as the response variable. The regression model is described by Eq. (3): $$\widehat{{{{\rm{Total}}}}\; {{\rm{crop}}}\;
{{{\rm{C}}}}_{\left(i,j\right)}}={\alpha }_{\left(i,j\right)}+{\beta }_{\left(i,j\right)}\times {Year}$$ (3) where \(\alpha\) represents the intercept and \(\beta\) is the estimated
coefficient in the linear regression model. Using the first year as the baseline, total straw and grain C changes were estimated over the decade by subtracting the total crop C of the first
year from that of the tenth year of the field experiment, as shown in Eq. (4): $${\Delta {{\rm{Total}}}\; {{\rm{crop}}}\; {{\rm{C}}}}_{\left(i,j\right)}={{{\rm{Total}}}\; {{\rm{crop}}}\;
{{\rm{C}}}}_{\left(i,{j},10\right)}-{{{\rm{Total}}}\; {{\rm{crop}}}\; {{\rm{C}}}}_{\left(i,{j},1\right)}$$ (4) where 10 represents the 10th year, and 1 represents the 1st year in the
decade-long field experiment. The projected loss of total crop C was assessed by subtracting the change in the previous estimated total crop C from the change in actual total crop C over the
decade and then dividing by the average actual total crop C over the ten-year period (Supplementary Fig. 12), as calculated by Eqs. (5) and (6): $$ {{{\rm{Projected}}}\; {{\rm{loss}}}\;
{{\rm{of}}}\; {{\rm{total}}}\; {{\rm{crop}}}\; {{{\rm{C}}}}_{{\rm{Straw}}}}\\ =\frac{{\Delta {{\rm{Total}}}\; {{\rm{crop}}}\;
{{\rm{C}}}}_{\left({{\rm{Straw}}},{{\rm{Actual}}}\right)}-{\Delta {{\rm{Total}}}\; {{\rm{crop}}}\; {{\rm{C}}}}_{\left({{\rm{Straw}}},{{\rm{Previously}}}\right)}}{\frac{1}{10}\times
\mathop{\sum }_{{Year}=1}^{10}{{{\rm{Total}}}\; {{\rm{crop}}}\; {{\rm{C}}}}_{\left({Straw},{Actual}\right)}}\times 100\%$$ (5) $$ {{{\rm{Projected}}}\; {{\rm{loss}}}\; {{\rm{of}}}\;
{{\rm{total}}}\; {{\rm{crop}}}\; {{\rm{C}}}}_{{{\rm{Grain}}}}\\ =\frac{{\Delta {{\rm{Total}}}\; {{\rm{crop}}}\; {{\rm{C}}}}_{\left({{\rm{Grain}}},{{\rm{Actual}}}\right)}-{\Delta
{{\rm{Total}}}\; {{\rm{crop}}}\; {{\rm{C}}}}_{\left({{\rm{Grain}}},{{\rm{Previously}}}\right)}}{\frac{1}{10}\times \mathop{\sum }_{{Year}=1}^{10}{{{\rm{Total}}}\; {{\rm{crop}}}\;
{{\rm{C}}}}_{\left({{\rm{Grain}}},{{\rm{Actual}}}\right)}}\times 100\%$$ (6) DATA ANALYSES To evaluate the importance of various environmental factors on crop biomass C, we utilised the
‘randomForest’ function of the ‘randomForest’ R package to construct a random forest model for the global datasets66. Hierarchical partitioning analysis was then performed using the
‘glmm.hp’ function from the ‘glmm.hp’ R package to assess the effect of different temperatures on crop biomass C67. Before characterising the relationship between temperature and crop
biomass C, we needed to determine the best model for the global dataset. Then, we constructed linear, nonlinear, mixed linear effects, and mixed nonlinear effects models using the ‘glm’
function from the ‘stats’ package68, the ‘nlsLM’ function from the ‘minpack.lm’ package69, and the ‘lme’ and ‘nlme’ functions from the ‘nlme’ package70. By calculating and comparing the AIC
and BIC of each type of model, we identified the optimal model. After determining the type of model, first, a range of null models was established, including linear regression and mixed
effects models, with climate type, crop type, or both considered random effects. Second, based on the minimum AIC, a mixed effects model with intercepts and slopes as random effects were
identified. Finally, the model was operationalized using the ‘lme’ function from the ‘nlme’ R package70, designating crop biomass C as the dependent variable, temperature as the fixed
effect, and both climate and crop type as random effects. The linear mixed-effects model was fitted successfully, and its residual distribution was tested for normality using the
Shapiro‒Wilk test. In addition, the significance of the difference between the model and the null model was ascertained using an ANOVA chi-squared test, and confidence intervals for the
model were calculated using the bootstrap method. Given the close correlation between MWST and SOM, we controlled for the MWST variable in our analyses to accurately evaluate the importance
of SOM on crop biomass C. We utilised a mixed-effects model, in which climatic conditions and crop type served as random effects, to assess whether SOM significantly influenced the model
residuals between MWST and crop biomass C (Supplementary Fig. 13 and Supplementary Tables 2, 7). Furthermore, to eliminate the interference of MWST on the relationship between SOM on crop
biomass C, we excluded the MWST variable from the model and employed a random forest model on the remaining variables (Supplementary Fig. 14). The results demonstrated that the reduction in
SOM continues to lead to a decrease in crop biomass C, even after excluding the influence of MWST. This explicitly confirms that MWST does not underestimate the significant contribution of
SOM to crop biomass C. Statistical analyses of the global dataset and data visualisation were performed in R (version 4.2.2; http://www.r-project.org/). For long-term field experiments, the
assumptions of t tests (two-sided), and linear regression models were validated using tests for normality and homogeneity of variance. Linear regression models were used to explore the
correlation between different temperatures and both crop biomass C and SOM. The beta coefficients for the effects of temperatures on straw and grain carbon content were estimated using 999
bootstrap resamples. After one-way ANOVA was completed, Tukey’s post-hoc test was used to compare model differences across temperatures, and Duncan’s New Multiple Range Test was used to
compare decreasing rates of crop biomass C in response to rising winter soil temperature across three in situ regions. Finally, structural equation modelling (SEM) was conducted to
investigate the direct and indirect effects of winter temperature, mineral protection, soil properties, microbial properties and enzyme activities on crop biomass C. This approach can
distinguish between direct and indirect effects that one variable may have on another and is, therefore, useful for exploring complex relationships in global ecosystems. SEM analyses were
carried out using AMOS 21.0 (AMOS Development Corporation, Chicago, IL, USA), with model fit assessed by the χ2 test and the root mean square error of approximation71. REPORTING SUMMARY
Further information on research design is available in the Nature Portfolio Reporting Summary linked to this article. DATA AVAILABILITY The raw data, including the meta-dataset and
decade-long field experiment data, necessary to support the conclusions of this study are available on Figshare (https://doi.org/10.6084/m9.figshare.26771899.v2)72 or can be found in
Supplementary Data 1 Source data are provided in this paper. CODE AVAILABILITY The code for the meta-analysis in this paper is provided from Supplementary Code 1 and is available on Figshare
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warming on crop biomass carbon loss from organic matter degradation”. https://doi.org/10.6084/m9.figshare.26771899.v2 (2024). * Ni, H. Codes for “Effects of winter soil warming on crop
biomass carbon loss from organic matter degradation”. https://doi.org/10.6084/m9.figshare.27129078.v3 (2024). Download references ACKNOWLEDGEMENTS The authors received funding from the
National Natural Scientific Foundation of China (42425703, 42377121 to Y.L.), National Key R&D Programme of China (2021YFD1900400 to Y.L.), Jiangsu Natural Science Foundation (BK20240015
to Y.L.), Innovation Programme of Institute of Soil Science (ISSASIP2201 to Y.L.) and Youth Innovation Promotion Association of Chinese Academy of Sciences (2016284 to Y.L.). AUTHOR
INFORMATION Author notes * These authors contributed equally: Haowei Ni, Han Hu, Constantin M. Zohner, Weigen Huang. AUTHORS AND AFFILIATIONS * State Key Laboratory of Soil and Sustainable
Agriculture, Institute of Soil Science, Chinese Academy of Sciences, Nanjing, China Haowei Ni, Han Hu, Weigen Huang, Yishen Sun, Jixian Ding, Xiaoyuan Yan, Jiabao Zhang & Yuting Liang *
University of Chinese Academy of Sciences, Beijing, China Haowei Ni, Han Hu, Weigen Huang & Yishen Sun * Department of Environmental Systems Science, Institute of Integrative Biology,
ETH, Zurich, Switzerland Constantin M. Zohner & Thomas W. Crowther * State Key Laboratory of Loess and Quaternary Geology, Institute of Earth Environment, Chinese Academy of Sciences,
Xi’an, China Ji Chen * Department of Agroecology, Aarhus University, Tjele, Tjele, Denmark Ji Chen * iCLIMATE Interdisciplinary Centre for Climate Change, Aarhus University, Roskilde,
Denmark Ji Chen * School of Biological Sciences, University of Oklahoma, Oklahoma, Oklahoma, USA Jizhong Zhou Authors * Haowei Ni View author publications You can also search for this author
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CONTRIBUTIONS Y.L., T.C. and J.Zhang conceptualised the study. J.C., C.Z., H.N., H.H., Y.L., Y.S. and X.Y. developed the methodology. H.N., H.H., W.H., Y.S., J.C., J.D., J.Zhou, and Y.L.
conducted the investigation. H.N., H.H., W.H. and J.D. curated the data. H.N., H.H., C.Z., W.H. and J.C. performed the formal analysis. Y.L., T.C., X.Y. and J. Zhang supervised the project.
Y.L., H.N., H.H. and W.H. wrote the initial draft, and H.N., H.H., C. Z., W.H., J.C., Y.S., J.D., J. Zhou, X.Y., J.Zhang, Y.L. and T.C. reviewed and edited the manuscript. CORRESPONDING
AUTHOR Correspondence to Yuting Liang. ETHICS DECLARATIONS COMPETING INTERESTS All authors declare no competing interests. PEER REVIEW PEER REVIEW INFORMATION _Nature Communications_ thanks
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