Long-term field experiments in Germany: classification and spatial representation

The collective analysis of long-term field experiments (LTFEs), here defined as agricultural experiments with a minimum duration of 20 years and research in the context of sustainable soil use and yield, can be used for detecting changes in soil properties and yield such as those induced by climate change. However, information about existing LTFEs is scattered, and the research data are not easily accessible. In this study, meta-information on LTFEs in Germany is compiled and their spatial representation is analyzed. The study is conducted within the framework of the BonaRes project, which, inter alia, has established a central access point for LTFE information and research data. A total of 205 LTFEs which fit to the definition above are identified. Of these, 140 LTFEs are ongoing. The land use in 168 LTFEs is arable field crops, in 34 trials grassland, in 2 trials vegetables and in 1 trial pomiculture. Field crop LTFEs are categorized into fertilization (n= 158), tillage (n= 38) and crop rotation (n= 32; multiple nominations possible) experiments, while all grassland experiments (n= 34) deal with fertilization. The spatial representation is analyzed according to the climatic water balance of the growing season (1 May to 31 October) (CWBg), the Müncheberg Soil Quality Rating (MSQR) and clay content. The results show that, in general, the LTFEs well represent the area shares of both the CWBg and the MSQR classes. Eighty-nine percent of the arable land and 65 % of the grassland in Germany are covered by the three driest CWBg classes, hosting 89 % and 71 % of the arable and grassland LTFEs, respectively. LTFEs cover all six MSQR classes but with a bias towards the high and very high soil quality classes. LTFEs on arable land are present in all clay content classes according to the European Soil Data Centre (ESDAC) but with a bias towards the clay content class 4. Grassland LTFEs show a bias towards the clay content classes 5, 6 and 7, while well representing the other clay content classes, except clay content class 3, where grassland LTFEs are completely missing. The results confirm the very high potential of LTFE data for spatially differentiated analyses and modeling. However, reuse is restricted by the difficult access to LTFE research data. The common database is an important step in overcoming this restriction.


Introduction
Long-term field experiments (LTFEs) are a valuable research infrastructure for terrestrial research in general and in agricultural research in particular. They are here defined as agricultural field experiments with a minimum duration of 20 years and research in the context of sustainable soil use and yield. Changes in soil properties tend to occur slowly; thus, for the identification of long-term trends, experiments with a long duration are needed. However, a single LTFE allows for the drawing of conclusions only for its specific site. The collective analysis of research data from different LT-FEs at different locations leads to more generalizable results. On the one hand, similar experiments on similar sites will lead to better validated conclusions when analyzed in combination. On the other hand, LTFEs in different experimental conditions may lead to broader implementable results by their collective analysis. Furthermore, LTFEs are expensive; a comprehensive and coordinated evaluation is also required to prove that they are worth the expense (Körschens, 2006;Berti et al., 2016). Historically, LTFEs were mainly established to answer questions regarding plant nutrition in the sense of achieving the highest possible yield (Merbach and Deubel, 2008). Later, they were used to reveal the effects of agricultural management practices (besides fertilization mainly tillage and crop rotation) on crop yield but also soil characteristics. LTFEs have been very helpful for research on soil organic carbon content or composition (Ellerbrock and Gerke, 2016;Kaiser et al., 2014;Körschens et al., 2014). LTFEs are further important for research related to questions regarding the interannual variability of crop yield (i.e., yield stability) that can be associated with climate change (Berti et al., 2016;Reckling et al., 2018;Macholdt et al., 2019a) and respective adaptation options (Hamidov et al., 2018). Valuable data can also be delivered for the validation of models (Franko et al., 2011;Ellerbrock et al., 2005) and for concepts used to evaluate soil functions (Vogel et al., 2019;Techen et al., 2020).
The joint analysis of LTFEs can go beyond the original research question of each LTFE, e.g., to answer questions about climate change, ecosystem services, nutrient cycles or yield stability. This research could be done through the common assessment of the "control" treatment of each LTFE, which is here defined as a treatment with customary tillage and fertilization and is present in most LTFEs. The combined analysis of control treatments is irrespective of the LTFE's original research theme. This would allow us to reveal changes in soil properties independently of the original questions for which the experiments were set up, e.g., overall trends in carbon content development. Although that would be a similar analysis to what can be done with soil monitoring sites ("Bodendauerbeobachtungsflächen", i.e., a permanent monitoring program where the federal states of Germany have the responsibility for recording changes in soils of cropland, grassland, forests and specialized crops), it would be a reasonable approach. It can be assumed that LTFEs have fewer breaks during the experimental period than soil monitoring sites, as soil monitoring sites are always a "window" into real agriculture. Further on, access to data from soil monitoring sites is not necessarily easier than that to LTFEs. Of course, the strengths of the collective analysis of LTFEs is the analysis of LTFEs with similar treatments in the form of a meta-analysis.
The meta-analyses of similar LTFEs, e.g., of fertilizer experiments with similar factors (e.g., with or without organic manure) or tillage experiments (e.g., conventional tillage vs. reduced tillage), have the opportunity to make use of the original research question of the LTFE. The effects and sustainability of measures can be revealed in a broader context and in different soils. This can be done with pairwise comparisons of alternative and reference management practices, such as that by Bai et al. (2018) and Sandén et al. (2018).
However, because of the site specificity of soil-plant interactions and their responses to agricultural management practices, the upscaling and generalization of results require information about the spatial representation of LTFE sites.
The statistical analysis of LTFEs poses several challenges and requires careful statistical modeling. We would recommend a mixed-model-based analysis that accounts for the randomized layout of the trial (see Onofri et al., 2016, for a review and some case studies). A general strategy starts out from the analysis model that would be used for a single year of data and then extends the model to account for variation across years. A specific challenge here is that during the course of the experiment several observations are made on the same experimental units, and this serial correlation needs to be taken into account (Payne et al., 2015;Richter and Kroschewski, 2006;Singh and Jones, 2002). Also, there may be heterogeneity of variance between years, which may be related to changes in stability of the investigated systems (Macholdt et al., 2019a, b).
A common issue with several LTFEs in Germany is that they were not properly randomized. This is mainly due to the fact that Fisher's principles of randomization and blocking were not widely known or accepted at the time when these trials were established. Instead, the systematic design originally proposed by Mitscherlich about a hundred years ago was very popular, and several LTFEs were established according to such systematic designs. For these unrandomized trials, a randomization-based analysis is obviously not available. One option then is to try spatial modeling, though it must be stressed that fitting of a spatial covariance structure cannot make up for a lack of randomization. But such a modeling is perhaps the best way forward if a sensible analysis is to be conducted for such trials. For a review of the connection between systematic designs as proposed by Mitscherlich and certain spatial covariance structures, see Piepho and Vo-Thanh (2020). Important compilations of German LTFEs have been performed by Körschens (1994Körschens ( , 1997 and Debreczeni and Körschens (2003). In Körschens (1994), 97 German LTFEs with a duration of more than 20 years were listed. The starting year, the kinds of factors, the cultivated crops, the size of the plots and experiments, the soil texture, the average annual air temperature, and the average annual precipitation of the site are presented if available. In Körschens (1997), 50 German LTFEs with a duration of more than 30 years are listed, and similar information is presented. In Debreczeni and Körschens (2003), 94 German LTFEs with a duration of more than 20 years are listed, and information about the start, experimental aspects, cropping system and soil is provided. Körschens (1994Körschens ( , 1997 indicate the following constraints for the compilation of a complete overview of all LTFEs in Germany: the multitude of experiments, discontinued experiments, new experiments or experiments not at all documented in the literature. In Debreczeni and Körschens (2003), restricted resources for data collection are also men- tioned. In addition, the heterogeneous setup and the scattered distribution of LTFEs make comparisons of data difficult or impossible (Bai, 2018). To cope with these problems, in the frame of the project "BonaRes", funded by the German Federal Ministry for Education and Research (BMBF), there is a focus on a central database for metadata and research data from LTFEs (BonaRes, 2020). The research data from two LTFEs (V140, Müncheberg and Dikopshof, Bonn) are available for free reuse via the BonaRes data portal (https://maps.bonares.de/mapapps/, last access: 20 November 2020) and the research data of nine other LTFEs are very close to publication. More LTFE holders will hopefully agree to upload research data within the third (and last) funding phase of BonaRes and take the great chance for support in data processing and storage.
No information is yet available regarding the spatial representation of LTFEs in Germany with regard to important agronomic factors such as climate and soil fertility. The aim of this paper was twofold. First, to classify the LTFEs in Germany with regard to land use, research themes and farming systems. Second, the aim was to conduct a descriptive analysis of the geospatial distribution of the experimental sites with regard to key factors of agricultural production: climate and soil fertility.

Material and methods
A combination of three methods was applied: a literature review to identify LTFEs in Germany, a fact-sheet-based addition of information to the identified LTFEs and a geospatial analysis employing the CWBg and the MSQR (Fig. 1).
An extensive literature review was conducted to identify LTFEs. The search terms were "long-term field experiment", "long-term experiment", "long-term field trial" and "longterm trial", as well as the German terms "Dauerfeldversuch", "Dauerdüngungsversuch", "Dauerversuch", "Langzeitfeldversuch" and "Langzeitversuch". Sources were scientific papers as well as other articles, books, trial guides and websites. The focus was on the exact position of the LTFE and the following metadata: name of the LTFE, website (if avail-able), institution, land use category, participation in existing networks, research theme, size of the LTFE area, number of plots, size of the plots, crop rotation, start (and maybe end) of the trial, measured parameters and trial setup including factors, treatments and randomization. For the coordination and simplification of the trial description, the BonaRes fact sheet was established, which asks for all relevant trial information . It was sent to the trial holders, and the fact sheet was completed for 40 trials. Trial holders also delivered important information as personal communication. In compiling the dataset, special attention was paid to LTFEs with a minimum duration of 20 years. This age can be seen as a threshold for the identification of longterm trends. Attention was given to LTFEs in the context of soil research, i.e., the objects of research should at least include soil properties and yield as an important soil function.
The setup of each trial should allow for statistical analyses, i.e., have clearly defined treatment factors, replications and as much as possible a static design. Lysimeter experiments were excluded because they were considered their own category. Some reasons for this exclusion are that soils are often transferred and not undisturbed in lysimeter experiments, and tillage has to be conducted by hand instead of machines, which can bias some results. Indeed, long-term lysimeter experiments exist in Germany as part of the TERENO network (TERENO, 2020).
The LTFEs were classified according to their research themes to simplify the identification of similar experiments. The field crop LTFEs could best be grouped into four clusters: fertilization, tillage, crop rotation and other. The fourth cluster "other" entails all themes that could not be grouped into the first three and appeared only in a few (maximum five) LTFE cases, so a separate group was not justified. Two or more factorial experiments were sorted in all relevant classes; i.e., multiple nominations were possible. LTFEs on grassland exist only as fertilization trials.
There are 109 LTFEs precisely known in their position, and for an additional 96 LTFEs, the trial area is approximately known, usually on the area of the holding institution. In the latter case, either the exact position is not known or the former LTFEs are now overbuilt with streets, parking spaces or buildings.
The geospatial analysis was performed by comparing the regional distribution of LTFEs to that of (a) climatic water balance classes of the growing season (1 May to 31 October) (CWBg) and (b) the Müncheberg Soil Quality Rating (MSQR) as two complex site classifications. In addition, (c) clay content of the topsoil according to ESDAC (2020) was chosen. The representativeness of LTFEs according to the frequencies in the cells of this classification was assessed. LTFEs were classified according to their land use and their research themes to simplify the identification of similar experiments. The identification of suitable LTFEs in similar (or different) landscapes shall be facilitated. Therefore, a table with the IDs of all experiments, their thematic classification, their CWBg class and their MSQR class is provided in the Appendix. More details for each LTFE can be identified in the published dataset , which is freely available in the BonaRes Repository, by the ID of the LTFE. Thus, cooperation with LTFE holders can be initiated more easily. Fourteen LTFEs were excluded from the geospatial analysis because they were dealing with research themes other than fertilization, tillage or crop rotation, or they did not include field crops or grassland experiments. The remaining 191 LTFEs were grouped into the following four classes: fertilization experiments, tillage experiments, grassland experiments and crop rotation experiments. The shares of LT-FEs in each class were compared to those of agricultural land in Germany. For that, approximately 17.9 × 10 6 ha of agricultural land was subdivided according to its land use as arable land (approximately 13.5 × 10 6 ha) or grassland (approximately 4.4×10 6 ha) (Umweltbundesamt, 2019). For the descriptive statistical analyses, cross-tabulations and contingency tables were used.
The CWBg was chosen as a suitable parameter to represent the climatic conditions for agricultural land use and because of its huge relevance for vegetation growth. Its impact may be even larger than that of temperature (Crimmins et al., 2011), and it may determine the growing season (Sattar et al., 2019). We used data from the German Meteorological Service (DWD) for the period 1981-2010 for the main growing season, defined from 1 May to 31 October (Ad-hoc-AG Boden, 2005). The climatic water balance (CWB) data for the growing season instead of the whole year were chosen, because regional differentiation is bigger for CWBg compared to the annual balance. The data are available for the whole territory of Germany with a pixel resolution of 1 km (DWD, 2020). The CWB is defined in Eq. (1) as the difference in precipitation (P ) and potential evapotranspiration (PET). It is a quantitative measure of the water supply in a given time period and for a specific region. The PET depends on location factors such as crop cover, topographical effects, soil conditions and soil water storage. It can therefore only be determined selectively. However, for a better comparison for spatial calculations, the so-called grass reference evapotranspiration is considered, which indicates the evapotranspiration of a standardized grass cover in standardized soil with optimal water supply (Pereira et al., 2015).
To derive data for agricultural areas, either arable land or grassland intersections with the CORINE Land Cover (CLC, 2018) dataset were made.
For point (b), a soil quality map (BGR, 2014) is used, which applies the Müncheberg Soil Quality Rating (MSQR). It has a pixel resolution of 250 m. The Institute for Geosciences and Natural Resources (BGR) had applied this complex assessment procedure (Mueller et al., 2010;Ad-hoc-AG Boden, 2010), which was developed as a visual procedure for estimating yield potential in the field, by modeling data from the soil overview map (BGR, 2007), but only for arable land. It takes soil structure and soil degradation threats into account and integrates 8 basic soil indicators with 13 hazard indicators into a rating of soil quality. The rating is shown on an ordinal scale of 0 to 102 and clustered into six quality classes, with higher values indicating higher yield potential (Daedlow, 2018). The 8 soil indicators are substrate, A-horizon depth, topsoil structure, subsoil structure, rooting depth, profile available water, wetness and ponding, and slope and relief. The 13 hazard indicators are contamination, salinization, sodification, acidification, low total nutrient status, shallow soil depth above hard rock, drought, flooding and extreme waterlogging, steep slope, rock and surface, high percentage of coarse texture fragments, a soil thermal regime unsuitable for crop production, and miscellaneous hazards (e.g., exposure to wind and water erosion). Most of the indicators are sensitive to agricultural management, which makes the MSQR most useful for studying the effects of agricultural management on soil. The MSQR has been proven useful in other studies of geospatial representation (Askari et al., 2013;Hanauer et al., 2017;Smolentseva et al., 2014). Since no MSQR is available for grassland areas, the LTFEs on grassland were excluded in this analysis.
Out of the 157 fertilization, tillage or crop rotation LTFEs on arable land, 26 could not be assigned to a class of MSQR, because the fields were surrounded by buildings and were therefore not part of arable land. If an LTFE did not obtain an assignment at a GIS (geographic information system) intersection, the value was determined manually by plausible examination of the nearest five to seven grid cells. One LTFE could not be assigned to a class of MSQR because it compares three different soils in boxes.
For point (c), clay content, data of the European Soil Data Centre (ESDAC) based on LUCAS topsoil data are used (ES-DAC, 2020). Although clay content is included in the MSQR as part of substrate, we decided to analyze the area shares of clay content separately, as carbon content is often correlated with the clay content (Körschens, 1997). Moreover, clay content is needed to estimate the carbon balance in a model derived from the CANDY model (Franko et al., 2011). Furthermore, ESDAC offers international data; therefore, clay content is suitable for international comparability. Due to the fact that texture is part of the MSQR, we do not offer separate maps for clay content but present data in tables.
Calculations always refer to utilized agricultural areas or parts thereof, arable land or grassland. The information was analyzed with Microsoft Excel. The geospatial analysis was performed using the ESRI software ArcMap 10.6.1 (ESRI, 2018).
The research on LTFEs is not completed but is ongoing. The information about LTFEs is continuously updated and expanded. New LTFEs are integrated, and the information about each LTFE is extended. The state of research is November 2019.

Overview of LTFEs in Germany
In total, 205 LTFEs across Germany with a minimum duration of 20 years were identified, of which 140 trials are ongoing and 65 are terminated (status: November 2019). Further LTFEs reaching the 20-year threshold within the next 5 years (until 2024) were also included (n = 6; Fig. 2). Most of the trials have a duration between 20 and 49 years (n = 124; Fig. 2). Fifty trials have a duration between 50 and 99 years. Three trials have been running for more than 100 years ("Ewiger Roggen", Halle, 1878-today; "Statischer Düngungsversuch V120", Bad Lauchstädt, 1902-today; "Dauerdüngungsversuch Dikopshof", Wesseling, 1904-2009. The age of 22 terminated trials is unknown since only the starting date of the trials is known but not the exact ending year. As these trials were mentioned in different important sources as being ongoing (Amberger and Gutser, 1976;Debreczeni and Körschens, 2003;Körschens, 1990Körschens, , 1994Körschens, , 1997Körschens, , 2000, it is known that their duration was at least 20 years.
The land use in 168 LTFEs is arable field crops, in 34 trials grassland, in 2 trials vegetables and in 1 trial pomiculture. There are more long-term grassland experiments in Germany; we have not included them in our research because they are dedicated to research themes other than questions of sustainable soil use and yield.
The majority of LTFEs were established after 1947, when research was resumed after the Second World War (Fig. 3). In 1996/1997, a series of grassland fertilization experiments was established by several German state authorities. This ex-plains the high number of LTFEs established in these years (Fig. 3).
The research themes of the LTFEs can be assigned to the following categories: fertilization, tillage, crop rotation, other themes and combinations of these (Table 1). Due to trials with two or more treatment factors, multiple nominations of experiments for the different research themes were assigned (n = 251). Most LTFEs were established for research on fertilization ( Fig. 3 and Table 1) (n = 158). This result is coincident with the results from a study in the international context (Berti et al., 2016). In Germany, fertilization LTFEs can be subdivided into field crop experiments (n = 124) and grassland experiments (n = 34). Historically, questions regarding the effects of fertilization on plant growth were the focus of research, while more recently the effects on the soil and the environment are investigated. The focus of the experiments is different kinds of fertilizers, different amounts of fertilizers, comparisons with or without a specific fertilizer, or combinations of these. Most frequently, organic fertilization versus mineral N fertilization is examined. In fewer experiments, the effect of straw fertilization is the subject of research. Additionally, the effects of mineral K fertilization, mineral P fertilization, liming, green manure, mineral Mg fertilization, compost or sludge are examined (Table 1). More rarely, different points in time of the fertilizing measure are compared.
Thirty-eight LTFEs address tillage variations ( Table 1). Most of these tillage experiments compare different tillage intensities. Most often, reduced tillage depth or conservation tillage are the subjects of research. Also, inversion versus non-inversion tillage is compared. Further research themes are sowing methods, different forms of primary tillage, the effects of stubble tillage and tillage frequency ( Table 1). The oldest tillage experiment started in 1923 (Statischer Dauerversuch Bodennutzung, Berlin-Dahlem), but 25 tillage experiments started in 1990 or later (Fig. 3). Therefore, most of the tillage experiments are "younger" experiments, a result also congruent with the findings by Berti et al. (2016).
Thirty-two LTFEs have the research theme "crop rotation". Mostly, the effect of crop rotation on soil properties and yield is investigated. Therefore, rotational cropping versus monoculture is compared. Additionally, plant health is the focus, e.g., compatibility of different cereal species or different percentages of cereals in crop rotation ( Table 1) Twenty-three trials address research themes other than fertilization, tillage or crop rotation. The other research themes are highly diverse. "Environmentally friendly crop protection", mainly reduced pesticide intensity, is the most frequent research theme among the other research themes (n = 5). "Irrigation" is the second most frequent (n = 4). "Effects of different forms of fallow" is within the focus of three LTFEs. "Frequency and start of utilization of grassland", "Land use systems comparison", "Monitoring of organic farming" and "Use of biodynamic preparations" are each within the focus of two LTFEs. Three other research themes are present in only one LTFE (Table 1).
Many different parameters are measured in LTFEs. In , 46 different soil parameters and 29 plant parameters are listed, which were measured in LTFEs. The analyzed parameters can be assigned to different soil functions. The following five soil functions were chosen as most relevant for BonaRes: biomass production, water storage and filtering, nutrient storage and recycling, carbon storage, and habitat for biological activity. In most LTFEs, parameters for biomass production were measured like yield and yield components. Nutrient storage and recycling is the second most frequent soil function. Less research is conducted (in decreasing frequency) for carbon storage, habitat for biologic activity, and water storage and filtering.
Archived samples are an important means of performing or repeating measurements. However, the information (if archived samples exist) is difficult to find in the literature. We have the information from a fact sheet query.
Of 40 responses received, 32 LTFEs have archived samples. A total of 184 trials are set up with conventional management practices, 14 with organic management practices and five with so-called integrated agriculture. Two trials compare conventional with organic management practices.
The holding institution for 96 trials is a university or university of applied sciences, and for 61 trials, it is a state authority. Twenty-seven trials are in the responsibility of nonuniversity scientific institutions such as research institutes. 21 trials are or were held by industry.
Compared to LTFEs worldwide, there are a comparatively large number of LTFEs in Germany. Our research revealed (up to now) 177 LTFEs which match our definition in the following countries: Austria, Belarus, Belgium, Bulgaria, China, Czech Republic, Denmark, Estonia, Finland, France, Hungary, Ireland, Italy, Moldova, Norway, Poland, Romania, Russia, Slovenia, Spain, Sweden, Switzerland, UK, Ukraine and USA. They are comparable in age (the oldest ones started in 1843) and research themes. There are in-ternational networks such as the working group IOSDV (Internationale Organische Stickstoffdauerdüngungsversuche; Körschens, 2000), the GLTEN (Global Long-Term Experiment Network, which was launched in 2018; GLTEN, 2020) and networks of organic LTFEs like RetiBio in Italy and the RotAB network in France (Ciaccia et al., 2020). In order to make the best use of the great efforts and costs that are behind every single LTFE, international networks should cooperate more intensively in future and possibly also use data infrastructure jointly. We would like to point out that the BonaRes data repository can also be used by international data holders.
All information about the LTFEs in Germany is published in an online overview map (https://ltfe-map.bonares.de, last access: 20 November 2020). The aims of the overview map are to make LTFEs more visible, to enhance networking among LTFEs and to simplify joint analyses of LTFEs. It is available in German and English. The map content can be displayed according to different categories, e.g., the research themes, land use or duration of the LTFEs. In addition to the overview information, details about every single LTFE are provided in a pop-up window, offering valuable information for potential users for orientation and initiation of cooperation.
As limitations of existing LTFEs, it can be mentioned that erosion and compaction are typically not analyzed in LT-FEs, and they are not designed for such questions up to now. Grassland experiments are in fact meadow experiments, whereas grazing experiments are completely missing.

Geospatial analysis of LTFEs in relation to the climatic water balance of the growing season (CWBg) distribution
An overview of the distribution of these CWBg classes and of LTFEs in Germany is given in Fig. 4. According to Table 2 and Fig. 4, arable land is distributed among classes 1-7 of the CWBg (Table 2; Fig. 4): the largest shares of 33 % each are classified as CWBg classes 2 (from −150 to < −50 mm) or 3 (from −50 to < 50 mm), respectively. The area of CWBg class 2 is mainly located in the lowlands of Germany: in the western and northern Rhine-Main valley, in a majority of the northeastern lowland and an area around Magdeburg called the Loess Boerde. The area of CWBg class 3 is mainly distributed in the northeastern part of Germany as well as in parts of the South German Escarpments landscape, the northern foothills of the Alps (lower Bavarian upland) and the lower uplands, such as the Lower Saxon and Hessian lowlands, the Vogtland district (a region in the border area of Bavaria, Saxony, Thuringia and Bohemia) and the Ore Mountain foreland. Twenty-three percent of the arable land is allotted to CWBg class 1 (< −150 mm). This extremely low CWBg is located almost exclusively in eastern Germany, especially in the rain shadow of the Harz: the Fläming (a landscape in southwest Brandenburg and eastern Saxony-Anhalt), the plates and lowlands of mid Brandenburg and the heathland of Brandenburg. Minor shares of 7 % and 4 % are allotted to CWBg classes 4 (from 50 to < 150 mm) and 5 (from 150 to < 300 mm), respectively. CWBg class 4 is located mainly in the foothills of the Alps as well as around the secondary mountains and in the western Schleswig-Holstein (moraines of Schleswig-Holstein). CWBg class 5 is mainly located in Germany's southern foothills of the Alps. CWBg class 6 (from 300 to < 500 mm) is not present in Germany's arable land and CWBg class 7 (> 500 mm) is not present in Germany's agricultural land (arable and grassland). Among the grassland, the largest share of 33 % is classified as CWBg class 3 (Table 3). Twenty-three percent of grassland is classified as CWBg class 5. Eighteen percent is classified as CWBg class 2, 14 % as CWBg class 1 and 9 % as CWBg class 4. CWBg class 6 is present in a small share (3 %) of Germany's grassland at higher altitudes in the Alpine region.
To analyze sites in every CWBg class, each class would have to be represented through LTFEs. Ideally, the shares of LTFEs in each class would correspond to the agricultural area. This is, of course, not the case (Table 2), as LTFEs were not established systematically in the landscape. Each CWBg class present in the arable land is represented by LTFEs, but they are not found in the same shares. CWBg class 1 is overrepresented by all LTFE types, CWBg class 2 is underrepresented by crop rotation LTFEs, class 3 is underrepresented by fertilization LTFEs and crop rotation LTFEs, class 4 is underrepresented by tillage LTFEs and overrepresented by crop rotation LTFEs (although in number there are only four crop rotation LTFEs), and class 5 again is overrepresented by crop rotation LTFEs (although in number there are only six crop rotation LTFEs) ( Table 2; Fig. 4) Overall, the three CWBg classes 1-3 representing 89 % of the arable land area also host 89 % of the LTFEs with a certain bias towards the driest CWBg class 1. Given that no spatial planning was considered during the allocation of LTFEs, this is a remarkably good distribution.

Geospatial analysis of LTFEs in relation to the Müncheberg Soil Quality Rating (MSQR) distribution
An overview of the distribution of the MSQR classes and of LTFEs in Germany is given in Fig. 5. Soils classified as "very high" are located mainly in the central part of Germany. Soils classified as "high" exist in the central part and in the south of Germany as well as in some smaller areas in the northwestern region of Germany, including the coastlines. Soils classified as "low" and "medium" are predominant in the northern part of Germany but also exist in some areas in the middle and south of Germany. Soils classified as "very low" mainly exist in northeastern Germany. Soils classified as "extremely low" exist mainly in small areas of mid-east, mid-west and northwest Germany (Fig. 5). The classification of the agricultural area into the six MSQR classes (Table 4) is as follows: the largest share (28 %) of agricultural area is classified as medium. The smallest shares are classified as extremely low (6 %) and very high (10 %). Medium shares are classified as very low (17 %), low (21 %) and high (18 %). LTFE sites exist in all MSQR classes, and overall, the distribution of the LTFE sites follows a similar pattern as that of the MSQR classes, with the exception of a bias towards the high MSQR class.

Geospatial analysis of LTFEs in relation to the combined CWBg and MSQR distribution
The share of the arable area in Germany and the share of LTFEs on arable land in every CWBg-MSQR intersection are compared (Fig. 6). According to this analysis, in the MSQR class extremely low, the share of LTFEs matches the share of arable land area in each CWBg class. In the other MSQR classes, CWBg class 1 is overrepresented by LTFEs compared to the respective land area. Thus, regarding climate, the distribution of LTFEs is biased towards dry areas with the very low CWBg class 1. The reason for this bias is probably because most of these LTFEs are located in the region surrounding Berlin and the region Bad Lauchstädt-Halle-Seehausen, which are both historical agricultural research areas.
In CWBg class 2, the distribution of LTFEs is biased towards high and very high MSQR classes. This result is mainly caused by the sites Bonn, Braunschweig, Gießen and Göttingen.
CWBg class 3 is underrepresented by LTFEs in the MSQR classes of very low, low, medium and high.
CWBg classes 4 and 5 are rather adequately represented by LTFEs in every MSQR class. However, these CWBg classes rarely exist in Germany.
For the landscape approach proposed in this paper, more LTFEs would be required in areas with CWBg class 3 on  soils classified as MSQR very low, low, medium and high and in areas with CWBg class 2 on soils classified as MSQR classes very low, low and medium.

Geospatial analysis of LTFE in relation to the clay content distribution
According to Table 5, every clay content class is represented by LTFEs on arable land. Clay content class 4 (17 % to 19 % clay content) is overrepresented by LTFE, while the high clay content classes 7 (25 % to 27 % clay content) and 8 (28 % to 98 % clay content) are underrepresented, especially by fertilization and crop rotation LTFEs. Among grassland, LTFEs in clay content class 3 (11 % to 16 % clay content) are completely missing ( Table 6). The clay content classes 5 (20 % to 21 % clay content), 6 (22 % to 24 % clay content) and 7 (25 % to 27 % clay content) are overrepresented by grassland LTFEs, while the other clay content classes are rather equally represented. Franko et al. (2011) found in their analysis of 40 LTFEs for the validation of a simplified carbon balance model, derived from the CANDY model, that more experimental results on clay soils would be required. This could be confirmed for LTFEs on arable land in this study.

Conclusions
To obtain adequate information about each CWBg, MSQR and clay content class through LTFEs, more LTFEs would have to be established. However, nearly every class is represented by at least some LTFEs. For the joint analysis, there are other more important constraints: data are not easy to access, and sometimes the older data are not digitized. Here, BonaRes offers great opportunities through the provision of support for data preparation and through the establishment of a common database. We hope that this great opportunity will be frequently used by LTFE holders in future. Table A1. IDs of all long-term field experiments, their original name, their location, their CWBg class (1 May to 31 October), their MSQR class and their thematic classification. The institution address is indicated by a number and given below the table. More details about the LTFEs can be found in the complete dataset