Journal topic
SOIL, 4, 153–167, 2018
https://doi.org/10.5194/soil-4-153-2018
SOIL, 4, 153–167, 2018
https://doi.org/10.5194/soil-4-153-2018

Original research article 06 Jun 2018

Original research article | 06 Jun 2018

# Hot regions of labile and stable soil organic carbon in Germany – Spatial variability and driving factors

Hot regions of labile and stable soil organic carbon in Germany – Spatial variability and driving factors
Cora Vos, Angélica Jaconi, Anna Jacobs, and Axel Don Cora Vos et al.
• Thünen Institute of Climate-Smart Agriculture, Bundesallee 65, 38116 Braunschweig, Germany

Correspondence: Axel Don (axel.don@thuenen.de)

Abstract

Atmospheric carbon dioxide levels can be mitigated by sequestering carbon in the soil. Sequestration can be facilitated by agricultural management, but its influence is not the same on all soil carbon pools, as labile pools with a high turnover may be accumulated much faster but are also more vulnerable to losses. The aims of this study were to (1) assess how soil organic carbon (SOC) is distributed among SOC fractions on a national scale in Germany, (2) identify factors influencing this distribution and (3) identify regions with high vulnerability to SOC losses. The SOC content and proportion of two different SOC fractions were estimated for more than 2500 mineral topsoils (< 87 g kg−1 SOC) covering Germany, using near-infrared reflectance spectroscopy. Drivers of the spatial variability in SOC fractions were determined using the machine learning algorithm cforest. The SOC content and proportions of fractions were predicted with good accuracy (SOC content: R2= 0.87–0.90; SOC proportions: R2= 0.83; ratio of performance to deviation (RPD): 2.4–3.2). The main explanatory variables for the distribution of SOC among the fractions were soil texture, bulk soil C  N ratio, total SOC content and pH. For some regions, the drivers were linked to the land-use history of the sites.

Arable topsoils in central and southern Germany were found to contain the highest proportions and contents of stable SOC fractions, and therefore have the lowest vulnerability to SOC losses. North-western Germany contains an area of sandy soils with unusually high SOC contents and high proportions of light SOC fractions, which are commonly regarded as representing a labile carbon pool. This is true for the former peat soils in this area, which have already lost and are at high risk of losing high proportions of their SOC stocks. Those “black sands” can, however, also contain high amounts of stable SOC due to former heathland vegetation and need to be treated and discussed separately from non-black sand agricultural soils. Overall, it was estimated that, in large areas all over Germany, over 30 % of SOC is stored in easily mineralisable forms. Thus, SOC-conserving management of arable soils in these regions is of great importance.

1 Introduction

There is increasing interest in soil organic carbon (SOC) in agricultural soils, as it contributes to soil fertility and also to the mitigation of climate change when organic carbon sequestration is enhanced (Post and Kwon, 2000). In agricultural systems the pathway of atmospheric carbon to SOC is controlled by land use and agronomic management. However, SOC comprises a large range of compounds, ranging from recently added organic matter, such as root litter and exudates, to highly condensed and transformed organic matter that may even be derived from the geogenic parent material. These different compound classes are stabilised in different ways and therefore have different turnover times (Lehmann and Kleber, 2015). Although SOC is now considered as having a continuum of turnover times, it is mostly described and modelled as consisting of different pools that vary in their turnover time (e.g. labile pool, intermediate pool and stabilised pool). The effects of land use and management are not the same for all soil organic matter compounds; they differ between SOC pools. Chimento et al. (2016) for example, found that the cultivation of perennial woody bioenergy crops increased SOC stocks compared to other bioenergy crops, but the new SOC accumulated only in the light and presumably labile particulate organic matter (POM) fraction. Poeplau and Don (2013a), on the other hand, found that cropland sites that were changed to grassland also sequestered new SOC but mainly in the more stable fractions. Therefore, the different SOC pools need to be assessed separately from the bulk SOC when discussing the influence of land use and management on stabilisation and storage of SOC.

One method for experimental quantification of the distribution of SOC among different SOC pools is fractionation. Various fractionation procedures for quantifying SOC fractions have been developed, mostly aiming at isolating fractions with differing turnover times (Poeplau et al., 2018; Zimmermann et al., 2007a). Determining the distribution of SOC among fractions with assumedly different turnover times is one step towards understanding the factors influencing SOC stabilisation. All methods for carbon fractionation are quite laborious, time-consuming and therefore expensive and not feasible for large datasets. Therefore, few studies exist on SOC fractions at a regional scale, indicating a need for the development of more efficient methods to predict carbon fractions in the assessment of large datasets. Near-infrared reflectance spectroscopy (NIRS) and mid-infrared spectroscopy (MIRS), in combination with chemometric methods, have been applied successfully to predict carbon fractions (Zimmermann et al., 2007b; Baldock et al., 2013; Cozzolino and Moro, 2006; Reeves et al., 2006). Thus, since the prediction of SOC fractions has been demonstrated to be possible using spectroscopic methods, it should also be possible to go beyond small datasets at a field scale in order to examine how SOC fractions are distributed regionally and the factors that drive this distribution.

Some impact factors are consistently reported as being important at a site scale for the distribution of SOC among different fractions or pools, one of which is land use. For western European croplands and grasslands, it was shown that a similarly high share of bulk SOC is attributed to fractions regarded as stable, while in forest soils, a higher proportion of SOC is attributed to more labile SOC fractions (John et al., 2005; Helfrich et al., 2006; Wiesmeier et al., 2014). Tillage can also have an impact on SOC pools, as some studies report higher levels of bulk SOC under no-till conditions compared with conventional tillage, with the majority of this increase occurring in the more labile carbon pools (Chan et al., 2002; Devine et al., 2014; Liu et al., 2014). This may, however, be just an effect of carbon redistribution in the soil and not lead to a net increase in SOC (Baker et al., 2007; Luo et al., 2010).

Fewer studies have examined the SOC distribution into fractions at a regional scale and even fewer have examined factors affecting the proportions of SOC distributed among different fractions or pools. Wiesmeier et al. (2014) determined the distribution of SOC fractions among 99 Bavarian soils under different land uses using the fractionation scheme devised by Zimmermann et al. (2007a), which is a combination of particle size and density fractionation. They found that approximately 90 % of the bulk SOC in cropland and grassland soils was distributed in intermediate or stabilised SOC pools, while this was only true for 60 % of the SOC found in forest soils. Therefore, those authors suggested that Bavarian soils under cropland and grassland are more suitable for long-term sequestration of additional SOC than soils under forest. They also examined controlling factors for the SOC distribution among fractions in the different land uses (Wiesmeier et al., 2014). Correlation analyses suggested that the intermediate SOC pools in croplands and grasslands were significantly correlated to soil moisture, but none of the functional SOC pools were influenced by temperature or precipitation. The particulate organic matter (POM) fraction of soils under grasslands and croplands was not significantly related to any environmental factor in that study (Wiesmeier et al., 2014). Poeplau and Don (2013a) conducted a study on 24 sites in Europe and found that SOC fractions differed in their degree of sensitivity to land-use change (LUC), with the sensitivity declining with increasing stability in the SOC fractions. Their results indicated that the afforestation of cropland shifts SOC from the more stable to the more labile fractions, while with the conversion from cropland to grassland the newly sequestered SOC is stored in the intermediate to stable pools. Rabbi et al. (2014) examined the relationships between land use, management, climate and soil properties and the stock of three SOC fractions for soils in south-eastern Australia, and observed a high impact of climate and site-specific factors (rainfall, silicon content, soil pH, latitude) and only a minor influence of land use. The dominance of site and climate variables as impact factors in that region may primarily be due to the wide range of site conditions in the area studied.

If the regional distribution of SOC fractions can be predicted using a combination of fractionation methods and NIRS and if relevant drivers for this distribution can be found, it should be possible to identify regions in Germany in which soils are most vulnerable to carbon losses. Some carbon fractions are commonly assumed to be more labile than others because they apparently have lower turnover times in the soil. The question is if it can simply be assumed that soils that contain a high percentage of those “labile” fractions are more vulnerable to carbon losses than others. On the one hand, it should be noted that for the assessment of vulnerability to carbon losses, not only the distribution of the fractions should play a role, but also the absolute amounts of carbon within the fractions. This is important as some soils may have stored a high percentage of SOC in a labile form, but the absolute amount of this SOC may be very low and thus less relevant in terms of climate change mitigation than a small percentage of light fraction that is lost from a soil rich in SOC. On the other hand, there are several regions in north-western Europe and also in northern Germany where the soils exhibit unusually high SOC content while having a high sand and low clay content (Sleutel et al., 2011). These so-called “black sands” have a poor capacity to stabilise SOC by binding onto mineral surfaces, and therefore most SOC is present in the form of POM. A great part of this land surface in northern Germany was covered by heathland and peatland until the end of the 18th century, and these soils may behave differently from other soils in terms of SOC storage and the vulnerability to carbon losses may not generally be definable via dividing SOC into fractions by density fractionation.

The present study is part of the German Agricultural Soil Inventory. A set of 145 topsoil samples, representative of German agricultural soils, was fractionated and used to calibrate NIRS predictions of the constituent fractions for > 2500 sites with mineral soils all over Germany. Additional climate, management and geographical data were gathered for all sites, and a machine learning algorithm was employed to clarify which factors influence the distribution of the carbon fractions. In this paper we therefore aim to answer the following research questions:

1. How is SOC distributed among the fractions at a national scale?

2. Which driving factors are relevant for this distribution?

3. Can regions of high vulnerability to carbon losses be identified by this predictive approach?

2 Material and methods

## 2.1 Study area, sampling and sample selection

Germany has a total surface area of 357 000 km2 and its climate is temperate, marine and continental. Mean annual precipitation (MAP) ranges between 490 and 2090 mm and mean annual temperature (MAT) between 5.7 and 11.2 C. Around half the country's surface area is used for agriculture, with cropland accounting for 71 % of this area, grassland for 28 % and other crops (e.g. vines) for 1 %.

Soil samples were taken in the course of the ongoing German Agricultural Soil Inventory. By May 2017, 2900 agricultural sites (croplands and grasslands) were sampled based on an 8 km × 8 km grid. At each site, a soil profile was characterised by a soil scientist and soil samples were taken from five fixed depth increments, using 2–10 sampling rings per depth increment (depending on the stone content) that were representatively distributed. All soils were classified in the field according to the German Soil Classification System (Sponagel et al., 2005).

For this study, a representative set of calibration sites was needed to be able to predict the carbon fractions using NIRS. Therefore, 145 calibration sites were chosen according to the following criteria: (1) maximum difference in NIR (near-infrared) spectra, according to the Kennard–Stone algorithm (Daszykowski et al., 2002); (2) consistent spatial distribution within Germany; (3) the exclusion of sites with SOC content > 87 g kg−1 in any horizon, as such soils may be organic (> 30 % organic substance) or in transition between organic and mineral soils and it was assumed that the processes governing the variability of SOC in organic soils differ from those in mineral soils; and (4) representative mapping of land use, soil type and carbon stocks. The topsoils (0–10 cm) of these 145 sites were fractionated to provide the calibration set for the prediction of the carbon fractions in the remaining sites using NIRS. After obtaining the predicted carbon fractions for all 2900 sites, the machine learning algorithm cforest was employed to identify driving factors important for the distribution of SOC into fractions. The employed fractionation scheme is described in Sect. 2.3 while details on the NIRS and chemometrics are given in Sect. 2.4. The use of the cforest algorithm is explained in Sect. 2.5.

## 2.2 Laboratory analyses

All 2900 topsoil samples were dried and analysed for gravimetric water content, electrical conductivity (EC), pH, SOC content (g kg−1, by dry combustion), soil inorganic carbon content (g kg−1) after removing organic carbon in a muffle kiln, texture (by the pipette method), rock content, root content and bulk density (with repeated soil rings). The SOC stocks were calculated as suggested by Poeplau et al. (2017), taking into account the stone and root content of the soil.

## 2.3 Fractionation of calibration samples

The topsoil samples (0–10 cm depth) of the selected calibration sites were dried at 40 C to constant weight and sieved to a size < 2 mm. Three different fractions were prepared, using an adaptation of the fractionation scheme proposed by Golchin et al. (1994):

1. To obtain the fraction that contains intra-aggregate particulate organic matter (iPOM), 20 g of soil sample were placed in a falcon tube, which was then filled to 40 mL with sodium polytungstate (SPT) solution (density: 1.8 g mL−1). The sample was dispersed ultrasonically at 65 J mL−1 to standardise the treatment of the iPOM fraction, which is often isolated by shaking in other studies. The probe energy supply was calibrated using the procedure explained in Puget et al. (2000). The tube was centrifuged at 4000 rpm until there was a clear distinction between the iPOM fraction and the remaining soil pellet. The supernatant was then filtered through a 45 µm filter paper and a ceramic filter using vacuum filtration. The iPOM fraction remained on the filter and was rinsed with distilled water until the electrical conductivity of the filtered water was below 10 µS m−1. The iPOM fraction was then dried at 40 C, weighed and milled.

2. To obtain the particulate organic matter occluded in the aggregates (oPOM) fraction, the falcon tube containing the pellet was again filled to 40 mL with SPT solution. The pellet was mixed with the solution using a vortex shaker and then ultrasonic dispersion was applied again, at 450 J mL${}^{-\mathrm{1}.}$. This energy level was chosen as Schmidt et al. (1999b) found that 450 to 500 J mL−1 is enough to disperse all soil aggregates (including microaggregates) in a wide range of soil types. The sample was centrifuged and the oPOM fraction was processed as described above for the iPOM fraction.

3. The remaining soil pellet was assumed to contain the mineral-associated organic matter (MOM or heavy) fraction. The pellet was washed three times with 40 mL of distilled water, dried, weighed and milled in the same way as the iPOM and oPOM fractions. The organic carbon (C) and total nitrogen (N) content of the three fractions was determined through thermal oxidation by dry combustion using an elemental analyser (LECO Corp.). One possible limitation of the applied fractionation scheme is that pyrogenic carbon ends up in the light iPOM and oPOM fractions although it generally has longer turnover times than assumed for this fraction. For Germany, however, we are confident that this does not influence the results, as pyrogenic carbon only plays a minor role in German soils (Schmidt et al., 1999a). The fractionation method applied is only one of several possible methods and options to separate labile from stabilised SOC.

The carbon recovery rate of the fractionation approach was between 80 and 110 %. Recovery rates of more than 100 % can be reached if the sample that is measured for total SOC or water content and the sample that is fractionated are not exactly the same. Even through careful subsampling the samples cannot be completely homogenised concerning their carbon content. The mean carbon contents of the fractions were 34.7 % for the iPOM fraction, 27.4 % for the oPOM fraction and 1.8 % for the MOM fraction.

Basic descriptive statistics were calculated for the data on the fractionated calibration sites, including mean absolute and relative proportions of the SOC fractions divided between different land uses and soil texture classes. An ANOVA was conducted to determine whether the differences between cropland and grassland land uses were significant and to test for significant differences between soil texture classes. The Games–Howell post hoc test was used for this purpose.

## 2.4 Near-infrared spectroscopy and chemometrics

As the oPOM fraction generally contained a small proportion of total SOC (on average 4 %), it was not reliably predictable on its own. Therefore, it was combined with the iPOM fraction to give a “light fraction” for the purpose of prediction. This was done even though it is clear that iPOM and oPOM are likely to differ in their availability for decomposition and in their turnover times. In this case an accurate prediction of the combined light fraction was thought to be more important and better than an inaccurate prediction of the oPOM fraction, as this can be misleading for the readers when displayed on a map. Soil samples were dried at 40 C, sieved through a 2 mm sieve and finely milled in a rotary mill. Before analysis, the samples were dried again at 40 C and equilibrated to room temperature for a few minutes in a desiccator. The soil samples were scanned with a spot size of 4 cm diameter in a Fourier transform near-infrared spectrophotometer (FT-NIRS, MPA – Bruker Optik GmbH, Germany). Spectral data were measured as absorbance spectra (A) according to A= log (1∕R), where R is the reflectance expressed in wave number from 11 000 to 3000 cm−1 (NIR region) with 8 cm−1 resolution and 72 scans. The final spectrum was obtained by averaging two replicates.

To improve the model accuracy a spectral pretreatment was applied, using Savitzky–Golay first derivative smoothing (three points) and wavelength selection from 1330 to 3300 nm, since these regions contain the main absorbance information. The calibration set consisted of the 145 calibration site samples, and the remaining samples were used for prediction. Partial least squares regression (PLSR) was performed in the pls package (Mevik et al., 2015), based on near-infrared (NIR) spectra and reference laboratory data. A cross-validation was applied using leave-one-out to avoid over- and under-fitting. To obtain the carbon fractions and ensure that the sum of light and heavy fractions was equal to total SOC content, the log ratio of the light and heavy fraction was predicted. A validation using an independent validation set was not deemed advisable in this study as the calibration dataset was representative of the whole area of Germany, including a diverse set of soil types and geographical circumstances. Moreover, 145 samples are not a large dataset for a calibration and with every split of this dataset a large part of the variation present in German soils would be lost for the calibration. An independent validation using the same dataset was carried out, however, and the calibration and validation results can be found in Table S3. Model performance was evaluated using the root mean square error of cross-validation (RMSECV), Lin's concordance correlation coefficient (ρc), and the coefficient of determination (R2) between predicted and measured carbon content in the fractions. In addition, the ratio of performance to interquartile range (RPIQ) and the residual prediction deviation (RPD) were calculated, the latter using the classification system devised by Chang et al. (2001). This classification is arbitrary, but nonetheless, can be used to assess the model quality and to compare with other models.

We used the methodology as described above as NIRS is one promising method to predict carbon fraction, which is fast, low-cost and accurate. The authors had the following calibration results: for the prediction of carbon content in the fractions (g kg−1), the coefficient of determination (R2) between predicted and measured carbon content in the fractions was found to be 0.87–0.90 and RMSECV was 4.37 g kg−1. The RPD was 2.9 for the prediction of carbon content in the light fraction and 3.2 for the prediction in the heavy fraction. For the prediction of carbon proportions in the fractions (%), R2 was 0.83, RMSECV 11.45 % and RPD 2.4 (Fig. S1 in the Supplement). The accuracy of the prediction of both SOC content and proportions of the light and heavy SOC fractions was very good and was comparable with that in other studies that have used NIRS to predict SOC fractions (Cozzolino and Moro, 2006; Reeves et al., 2006).

## 2.5 Drivers of soil organic carbon distribution in fractions

A total of 75 potential drivers of differences in carbon proportions in different fractions was compiled from the soil analysis data, complemented with data from a farm survey and geographical data (for a complete list of predictors, see Table S2 in the Supplement). The farm survey recorded management practices, over the 10 years prior to sampling if known by the farmer. Using this, yearly mean carbon and nitrogen inputs through plant material and organic and mineral fertilisers were calculated for each site based on the yield of the main product and on different carbon allocation functions for different crops as described in Bolinder et al. (1997). When data were missing in the survey responses, yields were calculated using regional yield estimates provided by the regional governments. Climate and site data acquired from GIS data layers completed the set of predictor variables (climate data from Deutscher Wetterdienst, normalised difference vegetation index (NDVI) data from ESA, elevation data from the Bundesamt für Kartographie und Geodäsie). For the sites in the federal states of Lower Saxony, North Rhine–Westphalia, Mecklenburg–Western Pomerania, Rhineland–Palatinate, Saxony Anhalt and Schleswig Holstein (northern Germany), the land-use history was researched using historical maps (dating back to 1873–1909), as many regions in these states are known to have a heathland or peatland legacy.

The conditional inference forest algorithm (cforest; Hothorn et al., 2006) was used to identify the most influential drivers of SOC distribution among the different fractions. Cforest is an ensemble model and uses tree models as base learners that can handle many predictor variables of different types and can also deal with missing values in the dataset (Elith et al., 2008). The cforest algorithm is similar to the better-known random forest algorithm, a non-parametric data mining algorithm that uses recursive partitioning of the dataset to find the relationships between predictor and response variables (Breiman, 2001).

Bootstrap sampling without replacement was carried out in order to prevent biased variable importance (Strobl et al., 2007). As multicollinearity between the predictors may result in a biased variable importance measure in cforest algorithms (Nicodemus et al., 2010), the correlations between the predictor variables were controlled. When the correlation between two possible predictors was > 0.8, only the one with the broader range of variation was kept in the dataset. Ten cforest models were created, each containing 1000 trees and using different random subset generators. From these models, the variable importance of predictors was extracted and the relative variable importance was calculated and averaged over all 10 models. Variables were considered important when their relative variable importance was higher than 100∕n, where n is the number of predictors in the model. This is the variable importance that each variable would have in a model where all variables are equally important (Hobley et al., 2015). It should be noted that the relative variable importance value obtained from the cforest algorithm does not necessarily imply direct relationships between the proportion of SOC in the light fraction and the main drivers, as the algorithm also takes into account interaction effects between the variables. Model performance was assessed by the coefficient of determination (R2), as defined by the explained variance of out-of-bag estimates, which represent a validation dataset:

$\begin{array}{}\text{(1)}& {R}^{\mathrm{2}}=\mathrm{1}-\frac{{\mathrm{MSE}}_{\mathrm{OOB}}}{{\mathrm{Var}}_{z}},\end{array}$

where MSEOOB is the mean squared error of out-of-bag estimates and Varz is the total variance in the response variable.

A range of soils in northern Germany, called black sands, behaved quite differently from other soils in the country in terms of the driving factors for SOC distribution among the fractions. Therefore, the dataset was split into two parts for the cforest analysis, and the cforest algorithm was used on the following:

1. the dataset containing only the black sands from northern Germany (n=264); those were extracted using the NIR spectra, which were classified as black sands and non-black sand soils using the simca function in the “mdatools” package (Kucheryavskiy, 2017).

2. all other soils considered not to be black sands (n=2406).

All statistical analyses were conducted using the software R. Maps were generated with the software QGIS.

Figure 1(a) Proportion (%) and (b) absolute content (g kg−1) of soil organic carbon (SOC) in the intra-aggregate particulate organic matter (iPOM), occluded particulate organic matter (oPOM) and mineral-associated organic matter (MOM) fraction in soils under cropland and grassland for the 145 calibration sites that were fractionated. Error bars denote standard error of the mean.

Figure 2(a) Proportion (%) and (b) absolute content (g kg−1) of soil organic carbon (SOC) in the intra-aggregate particulate organic matter (iPOM), occluded particulate organic matter (oPOM) and mineral-associated organic matter (MOM) fraction in different soil texture classes for the 145 calibration sites that were fractionated. Error bars denote the standard error of the mean.

3 Results

## 3.1 Carbon distribution among measured fractions (145 calibration sites)

The iPOM fraction contributed an average of 23 % to bulk SOC (23 % ± 2.36 (mean ± standard error (SE)) in croplands and 25 % ± 3.8 in grasslands (Fig. 1). The oPOM fraction accounted for an average of 4 % of SOC (3 % ± 0.5 in croplands, 8 % ± 1.3 in grasslands) across all calibration sites (Fig. 1). The heavy fraction contributed the highest proportion to bulk SOC (73 % in all soils, 73 % ± 2.5 in croplands and 68 % ± 4.4 in grasslands). The differences in the distribution of C into fractions between land uses were not significant. There was great variation in the carbon distribution between fractions, with the iPOM fraction contributing between 3 and 99 % to bulk SOC. The absolute carbon content (g kg−1) of the fractions was significantly different for the heavy fraction, with grasslands having a significantly higher heavy-fraction carbon content than croplands (31 g kg−1± 3 compared with 13 g kg−1± 0.7).

There were significant differences in the contribution of the different fractions to bulk SOC depending on the main soil texture class (Fig. 2). In sandy soils, the iPOM fraction contributed significantly more and the heavy fraction contributed significantly less to bulk SOC than in other soils. For the oPOM fraction, the difference between sandy soils and clayey, silty and loamy soils was not significant. The absolute SOC content (g kg−1 soil) was significantly higher in the heavy fraction of clayey soils than in the heavy fraction of all other soil textures, and it was significantly higher in the oPOM fraction of sandy soils than in the oPOM fraction of all other soils.

Figure 3Mean relative variable importance according to the conditional inference forest (cforest) algorithm for the predicted proportion of soil organic carbon (SOC) in the light fraction. The vertical line indicates the threshold value of relative variable importance above which a variable was regarded as important. (a) Variable importance for all soils that are not black sands and (b) variable importance for only black sands.

Figure 4Relationship between soil organic carbon (SOC) proportion in the light fraction and influential variables. Calibration sites are shown as red dots, normal non-black sand soils as black dots and black sands as orange triangles.

## 3.2 Influences on soil organic carbon distribution among fractions (all 2900 sites)

With the machine-learning algorithm cforest, 75 variables that may act as drivers for the regional distribution of SOC fractions were evaluated (Fig. 3a). For the non-black sand soils dataset, soil texture had the highest explanatory power in predicting the contribution of the light fraction to bulk SOC (Fig. 4), with clay content being negatively and sand content positively correlated with the percentage of SOC in the light fractions. The SOC content, bulk soil C  N ratio, land use, soil type, pH and CaCO3 content were also identified as important explanatory variables when predicting the light-fraction proportion. The SOC content showed a positive relationship with light-fraction SOC proportion and with bulk soil C  N ratio. The grassland soils showed a higher proportion of bulk SOC in the light fraction than the cropland soils and pH was negatively related to the light-fraction SOC proportion. Comparing the fractions' distribution in the different soil types, it is obvious that podzols store a substantially higher proportion of their total SOC in the light fraction than all other soil types (Fig. 6).

Figure 5Relationship between land-use history and (a) proportion of light-fraction soil organic carbon (SOC), (b) carbon  nitrogen (C  N) ratio of bulk soil and (c) total SOC content for all sites in the federal states of Lower Saxony, Mecklenburg–Western Pomerania, North Rhine–Westphalia, Saxony–Anhalt, Rhineland–Palatinate and Schleswig–Holstein.

Figure 6(a) Proportion (%) and (b) absolute content (g kg−1) of soil organic carbon (SOC) in the light and heavy fractions in different soil types in the non-black sand soils dataset. Error bars denote standard error of the mean.

The analysis of historical land-use data of northern Germany confirmed that the former peatland, heathland and grassland sites had a significantly higher (p< 0.01) proportions of bulk SOC in the light fraction than sites used as cropland in the same period (Fig. 5a). These historical peatland, heathland and forest sites also had significantly higher (p< 0.05) C  N ratio than the historical cropland and grassland sites (Fig. 5b). Regarding the total SOC content, historical peatland and grassland sites had significantly higher (p< 0.001) values than historical croplands (Fig. 5c).

Figure 7Predicted soil organic carbon (SOC) proportion range ( %) in the light fraction of soil at sites in the German Agricultural Soil Inventory.

Figure 8Predicted absolute soil organic carbon (SOC) content range (g kg−1) in the light fraction at sites in the German Agricultural Soil Inventory.

For the black sands dataset, bulk soil SOC content was the most important driver of SOC distribution in the fractions (Fig. 3b), followed by C  N ratio, soil temperature in summer and soil bulk density. The SOC content had a positive relationship with the percentage of SOC in the light fraction, and with the C  N ratio (Fig. 4). For soil temperature there was no clear relationship. There was a negative relationship between SOC proportion in the light fraction and soil bulk density.

## 3.3 Distribution of soil organic carbon into fractions across Germany

Regions featuring high proportions of SOC in the light fraction (over 60 % of total SOC) nearly all lie in northern Germany (Fig. 7). Medium proportions of SOC in the light fraction (40–60 % of total SOC) were found in Mecklenburg–Western Pomerania and in parts of Brandenburg (north-east Germany). Low proportions (< 40  %) of SOC in the light fraction were found in central and southern Germany. Considering the absolute contents of SOC in the light fraction (Fig. 8), it was obvious that the absolute (in g kg−1) and relative (in %) carbon contents in the light fraction are in close alignment in most regions in Germany, implying that those sites with a higher total SOC content also have a higher proportion of this content stored in the light fraction.

4 Discussion

## 4.1 Contribution of soil organic carbon fractions to bulk soil organic carbon

The relative distribution of carbon among different fractions did not differ significantly between croplands and grasslands (Fig. 2a) in the calibration dataset (n=145), which is in agreement with previous findings for south-east Germany (Wiesmeier et al., 2014). There was a trend, however, for slightly higher iPOM content in grasslands than in croplands. When taking the full dataset, including the fractions predicted with NIRS, the difference was significant (p< 0.05), with higher proportions of POM in grassland topsoils when compared to cropland (not shown). Other studies, however, found considerably higher differences between POM proportions in grassland and cropland soils. Christensen (2001) estimated that, in grassland soils, 15–40 % of SOC is stored in the light fraction, and Poeplau and Don (2013b) found the light-fraction proportion to be twice as high in grassland topsoils (0–10 cm) compared to cropland soils. One possible reason for a larger light fraction in grassland soils is the permanent vegetation cover and the high amount of roots, which provide a higher above-ground and below-ground input of SOC (Christensen, 2001). The limited difference in light fraction between cropland and grassland soils shown in our study may possibly be due to interfering factors, such as historical land-use changes, which would need more detailed investigations to unravel. Moreover, grasslands and croplands are generally located on different soil types which, again, interferes with other factors such as soil moisture or texture. Therefore, it is not always possible to draw direct conclusions on land-use change effects on carbon fractions from such regional inventories.

The significant differences observed in the absolute SOC content of fractions between different land uses were to be expected, as grassland soils in Germany contain on average more than twice as much SOC in the upper 10 cm as cropland soils (42 ± 16 g kg−1 compared with 17 ± 9 g kg−1; Fig. 2b). This higher carbon content of grassland soils is often found and can mainly be attributed to the higher SOC inputs and the lack of tillage-induced SOC mineralisation in the topsoil (Post and Kwon, 2000; Wiesmeier et al., 2014).

All samples with medium or high proportions of SOC in the light fraction were found to originate from northern Germany. This is the area in which the black sands are present, which store large parts of their SOC in the light fraction. Springob and Kirchmann (2002a) examined the presence of black sands in Lower Saxony in Germany and linked it to the land-use history. In Ap horizons of soils formerly used as heathland or plaggen, they found a high fraction of SOC resistant to oxidation with HCl. This HCl-resistant fraction was positively correlated with the total SOC content, but soil microbial biomass carbon content showed a negative relationship with total SOC and, when incubated, the specific respiration rates were lowest for the soils with the highest SOC content (Springob and Kirchmann, 2002a). Those authors concluded that a high proportion of the organic matter in the former heathland soils is resistant to decomposition and suggested that low solubility of the SOC could be responsible for its high stability. A recent study (Alcántara et al., 2016) reported similar results for sandy soils under former heathland, which had lower respiration rates per unit SOC and a wider range of C  N ratios than control soils without a heathland history. Certini et al. (2015) showed that SOC under heathlands is rich in alkyl C and contains high contents of lipids, waxes, resins and suberin, all of which hinder microbial degradation. This confirms the claim that sandy soils under former heathland contain high contents of stable SOC even though they also contain a high amount of POM. In such soils, the POM fractions may not be directly linked to higher turnover rates and lower stability.

“Historical” peatlands may have lost much of their former carbon stocks for a number of reasons. Drained peatlands emit huge amounts of CO2 (German grasslands on average 27.7 to CO2 ha−1 yr−1; Tiemeyer et al., 2016) until the peat has virtually vanished. There might have also been peat extraction, and the remaining peat layer might have been mixed with underlying sand. Finally, former peatland soils were often mixed with large amounts of sand in order to make them usable for arable cultivation, but they still often contain substantial proportions of (degraded) peat and therefore have relatively high SOC content, with a large part of the SOC in the light fraction. It has been found elsewhere (Bambalov, 1999; Ross and Malcolm, 1988; Zaidelman and Shvarov, 2000) that the SOC content in sand-mix cultures declines rapidly after mixing with sand and that the decline increases with increasing intensity of mixing. In a 15-year long-term trial, Bambalov (1999) found that the SOC content of a sand-mix culture could only be stabilised (at much lower SOC content than the original peat) by adding organic and mineral fertilisers to the soil. In contrast, Leiber-Sauheitl et al. (2014) found that a peat–sand mixture with a SOC content of 93 g kg−1 emitted as much CO2 as an adjacent shallow “true” peat. Similarly, Frank et al. (2017) determined a higher contribution of soil-derived dissolved organic carbon in a peat–sand mixture compared to the peat, which points to a low stability of the SOC in this kind of soil. This means that, for the light fraction of the former peatlands in northern Germany, enhanced stability of the POM cannot be assumed. Thus, for a more accurate interpretation of results, the black sands had to be divided into a former heathland group, containing a relatively stable light fraction, and a former peatland group, containing a relatively labile light fraction, although there are transitional vegetation types with heath on peatlands.

Land-use history clearly continues to influence soil SOC dynamics, since the light-fraction SOC proportion and the bulk soil C  N ratio were higher in soils with a heathland or peatland history in the present study. This supports findings by Sleutel et al. (2008) that the chemical composition of pairs of relict heathland and cultivated former heathland soils is very similar. Unfortunately former peatlands and heathlands are not necessarily distinguishable due to their SOC content and C  N ratio, so that knowledge on the land-use history is necessary. In some cases, however, even the distinction on site can be difficult, e.g. on dry peatlands with heath vegetation (Calluna, Erica). In future studies it would therefore be interesting to incubate pairs of former heathland and peatland in order to be able to make accurate claims on the vulnerability of the light-fraction SOC in these soils.

The presence of black sands poses a problem for the interpretation of the SOC fractions. In most cases, the SOC in the light fraction (iPOM + oPOM fractions) is seen as representing a labile carbon pool with short turnover times. Therefore, sites with high proportions of bulk SOC in the light fraction would be seen as being at risk of losing this substantial part of their SOC stock quite rapidly and easily. For the black sands, however, their former heathland land-use history has led to quite stable and not easily degradable POM (Overesch, 2007; Sleutel et al., 2008; Springob and Kirchmann, 2002), while for former peatland that was drained and possibly mixed with sand the classification of the light fraction into a labile SOC pool may well be justified (Leiber-Sauheitl et al., 2014). This implies that the results need to be interpreted in a different way for black sands than for other soils.

## 4.2 Driving factors for carbon distribution into fractions

### 4.2.1 Non-black sand agricultural soils

The most important driver for the SOC distribution among the fractions in non-black sand soils was the soil texture (Fig. 3a). This is well in line with the frequently reported relationship between clay content and mineral-associated (heavy-fraction) SOC, whereby clayey soils can stabilise SOC through mechanisms that protect it against microbial decay by absorption or occlusion (von Lützow et al., 2006; Six et al., 2002). The SOC that is bound to the mineral phase is mostly assigned to a conceptual stable SOC pool. The negative relationship between SOC content and percentage of SOC in the heavy fraction (Fig. 4) may indicate SOC saturation of the mineral fraction with rising SOC content, so that excess SOC can only be stored as particulate organic carbon.

The positive correlation between the soil C  N ratio and the C proportion in the light fraction (Fig. 4) is related to the inherent higher C  N ratio of the light fraction compared with the heavy fraction. Thus, a higher share of light-fraction C leads to a higher C  N ratio of the bulk soil. Thus, in non-black sand agricultural soils the C  N ratio may be useful as an indicator of SOC stability: a high C  N ratio indicates a high proportion of labile SOC in the soil.

The fact that land use is an important driver for the distribution of SOC among the fractions is mainly due to the fact that in the dataset containing all non-black sand sites, topsoils under grassland store a significantly higher share of SOC in the light fraction than topsoils under cropland. This is in line with higher inputs of roots, which make up part of the light fraction, into grassland topsoils. The higher proportion of SOC in the light fraction was also noted in the calibration dataset (n=145), but the difference was not significant in that case.

Apart from texture, C  N ratio and land use, another important driving factor for the distribution of SOC among fractions was the soils' carbonate content. Most arable topsoils in Germany do not contain carbonate. The 9 % of arable soils that contained over 5 % carbonate in this study consistently had a high proportion of heavy-fraction carbon and were therefore classified as containing mainly stabilised SOC (Fig. 4). Calcium bridges may foster the absorption of SOC onto mineral surfaces, and, via an active soil fauna, high pH enhances the turnover and transformation of SOC from recently added biomass to mineral-associated SOC that can be stabilised via absorption (Oades, 1984). In general, there was a trend for a higher proportion of SOC in the light fraction with lower pH (Fig. 4), which is well in line with the finding by Rousk et al. (2009) that SOC mineralisation is slower in soils with lower pH due to a higher ratio of fungal to bacterial biomass.

The influence of soil type is mainly due to the Podzol soils storing a much higher proportion of bulk SOC in the light fraction than all other soil type classes (Fig. 6). Podzols often develop on sandy soils and therefore do not have a high capacity for SOC stabilisation in the heavy fraction (Sauer et al., 2007).

### 4.2.2 Black sands

In the dataset containing only the black sands, soil total SOC content was the most important driver for the SOC distribution among the fractions, with increasing light fraction with increasing SOC content (Fig. 4). On the one hand, this could indicate the saturation of the heavy fraction at high SOC contents, which would lead to further storage in the light fraction only, as already mentioned above for non-black sand soils. Another possible explanation is that those soils with the highest SOC content in the dataset are degraded peatlands, in which a high percentage of the SOC ends up in the light fraction. On former heathlands, the soil total SOC content is also quite high compared with that in other sandy soils and the light fraction is mainly built up from Calluna vulgaris litter, since Calluna vegetation dominates on many heathlands. Calluna litter contains very stable SOC due to high contents of lipids, long-chain aliphatics and sterols, and it may persist in the light fraction of soil for decades or even centuries (Sleutel et al., 2008).

There is a close link between land-use history as peatland and heathland and soil the C  N ratio, with a high C  N ratio in former heathland soils (Alcántara et al., 2016; Certini et al., 2015; Rowe et al., 2006) and also often in former peatlands (Aitkenhead and Mcdowell, 2000). Therefore, it is evident that land-use history is a main driver for the high proportions of bulk SOC found in the light fraction in these soils. This is well in line with the significantly higher C  N ratios reported for soils in Lower Saxony and Mecklenburg–Western Pomerania, which were under heathland or peatland more than 100 years ago (Fig. 5). The influence of land-use history reinforces the relationship between the C  N ratio and the light fraction.

In black sands, there was a significant negative relationship between soil temperature and the light-fraction SOC proportion, but this was not found for the other soils (Fig. 4). A negative relationship was observed between soil bulk density and the proportion of SOC in the light fraction, which was evidently due to the low density of the light fraction affecting overall soil bulk density (Fig. 4).

Even though the land-use history was part of the dataset, and we could link several of the important driving factors to a history as peatland or heathland, the cforest algorithm did not identify the land-use history as an important driver for the SOC distribution into fractions. This was the case because we did not have detailed land-use history data for all sites. But even when running the cforest algorithm only for those sites with a known land-use history, it was not selected as an important driver. This is probably due to the fact that at the time of the land survey in 1873–1909 some of the former heathland and peatland sites had already been cultivated. Therefore, the land-use history would not prove to be a reliable indicator. We confirmed this by referring to an older land survey, dating back to 1764–1785. For sites that exhibited typical black sand features (e.g. high SOC proportions in light fractions, high sand content and a high C  N ratio) but were not a heathland and peatland in the 19th century, we often found a heathland or peatland signature on the maps from the 18th century. Unfortunately, this land survey from the 18th century is incomplete and we could therefore not rely on it for all sites.

## 4.3 Hot regions of labile and stable carbon in Germany

For a soil to be definitively identified as being vulnerable to SOC losses, it not only needs to have a high proportion of bulk SOC in the light fraction but also a high absolute SOC content in this fraction. The map in Fig. 8 shows the absolute SOC content of the light fraction at sites of the German Agricultural Soil Inventory. Comparing Figs. 7 and 8, it is evident that sites which store a high proportion of their SOC in the light fraction generally also have high absolute SOC content in the light fraction. This implies that those sites are really the most vulnerable to SOC losses, as they not only have high proportions of SOC in the light fraction but also the highest absolute SOC content in the light fractions to lose. As the SOC in former peatland soils has been shown to be easily mineralised (Bambalov, 1999), the management of such sites should be aimed at stabilising the SOC stocks and preventing further degradation of the peat. When there is a heathland history, it can be assumed that the SOC in the light fraction is quite stable but that does not imply that freshly added litter will also be stable. In fact, it is quite likely that it will not be stable if no heathland vegetation is planted. This implies that the SOC stocks on these sites will decline when the resistant litter is not replenished.

Taking together all the important explanatory variables discussed above, regions in which the SOC can be classified as mostly labile were identified. These were soils with a high proportion of light fraction and without a heathland history. Such soils are mainly located in northern Germany and many of those have a peatland history (Fig. 7). These soils can be seen as vulnerable to losses of a high proportion of their SOC in the topsoil easily and rapidly. Loss of SOC could occur, for example, through a change in management that reduces carbon inputs to the soil and therefore fails to maintain the light fraction, for example a land-use change from grassland to cropland (Poeplau et al., 2011) or reduced input of organic fertilisers or crop residues (Dalal et al., 2011; Srinivasarao et al., 2014). Losses of SOC could also occur due to higher temperatures, which could lead to enhanced microbial activity and therefore enhanced mineralisation of SOC in the light fraction (e.g. Knorr et al., 2005). Former peatland soils may already lose significant parts of their SOC (Leiber-Sauheitl et al., 2014; Tiemeyer et al., 2016).

Regions with soils with a high proportion of stable SOC are located mainly in central and southern Germany (Fig. 7). In these regions, soils consistently store over 60 % of their SOC in the heavy fraction, in which the SOC is bound mostly to the mineral surfaces of clay minerals. Thus, these soils have the lowest vulnerability to losing their SOC, as losses mostly occur from the light fraction. However, even in these regions up to 40 % of bulk SOC is stored in the light fraction, and this may be lost. Therefore, apparent lower vulnerability does not mean that SOC-conserving soil management is not needed in these regions. It should be noted that the quality of the SOC in the light fraction is probably not the same in all soils, land use (history) and climate regions. Therefore, the vulnerability and turnover time of the light fraction may also vary considerably within different regions. This can be seen in the light-fraction C  N ratio for example, which ranged between 11 and 43 for the 143 calibration sites studied here.

Using the combination of SOC fractionation and prediction with NIRS, it is generally possible to identify regions that are more or less vulnerable to SOC losses. The results must be assessed with care, however, as phenomena like a non-labile light fraction in black sands can hamper the interpretation. It is therefore advisable to look at different driving factors when classifying sites as more vulnerable than others. Moreover, special soil phenomena are to be assessed separately from non-black sand soils, as the driving factors for the fractions distribution may vary considerably.

5 Conclusions

The identification of the distribution of SOC fractions in German soils allowed a clear identification of regions where the SOC in agricultural soils is most vulnerable to being lost. The cforest analysis provided indications of the factors driving the distribution of SOC into the different fractions. It was found that soil texture, bulk soil SOC content, the bulk soil C  N ratio, land-use history and pH were the main drivers for this distribution in non-black sand soils. In black sand soils in northern Germany, the SOC distribution into the fractions mainly depended on total SOC content and the soil C  N ratio and was directly linked to the land-use history. Former peatland or heathland still has a great influence on the composition of soil SOC decades or even centuries after the cultivation of the soil. In some regions of Germany the majority of bulk SOC is stored in the light fraction, but this does not always imply that this SOC is labile. The use of SOC fractionation techniques coupled with NIR spectroscopy to extrapolate to a national soil inventory dataset was successful in predicting POM factions. However, additional knowledge on land-use history was required to determine whether this POM is vulnerable to losses or not. This study focused on the topsoil only, as it has comparatively high SOC stocks and is most vulnerable to changes in management. Future studies should also examine the SOC distribution in the subsoil, as this would enable the exploitation of all possibilities for sequestering additional SOC in the soil, in order to mitigate the CO2 content in the atmosphere. Regarding soil management measures, this study provided indications of where the most prudent and SOC-conserving management techniques are advisable for different regions of Germany: former peatland soils in northern Germany are most vulnerable and former heathland soils in the same region are less vulnerable at the moment. The vulnerability of those heathland soils can change, however, when changes in soil management occur. This study showed that through the spatial upscaling of the SOC fraction distribution through NIRS prediction, it is possible to elucidate the SOC vulnerability and driving factors for SOC stability on a national scale.

Data availability
Data availability.

The German Agricultural Soil Inventory is an ongoing project and the dataset cannot be published before its completion. For further information please contact Axel Don (ak@thuenen.de).

Supplement
Supplement.

Competing interests
Competing interests.

The authors declare that they have no conflict of interest.

Acknowledgements
Acknowledgements.

This study was funded by the German Federal Ministry of Food and Agriculture in the framework of the German Agricultural Soil Inventory. We thank the field and laboratory teams of the German Agricultural Soil Inventory for their thorough and persistent work with the soil samples. Special thanks go to Anita Bauer for her support with the SOC fractionation. We also want to thank Catharina Riggers, Florian Schneider and Christopher Poeplau for valuable comments and discussion of a previous version of this paper. We thank Norbert Bischoff, Jochen Franz, Andreas Laggner, Lena Liebert and Johanna Schröder. Our thanks also go to the Bundesamt für Kartographie und Geodäsie and the Deutscher Wetterdienst for providing geodata and climate data, respectively, and to the Landesamt für Geoinformation und Landesvermessung Niedersachsen and the Landesamt für innere Verwaltung – Koordinierungsstelle für Geoinformationswesen for providing data on historical land use.

Edited by: Asmeret Asefaw Berhe
Reviewed by: A. Peyton Smith and one anonymous referee

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