Introduction
Wheat (Triticum aestivum) as one of the most important staple crops worldwide showed a linear yield increase during the second half of the last century (Calderini and Slafer Reference Calderini and Slafer1998). This has helped to secure the demand of a growing population, keeping food prices low and reducing land use change (Fischer Reference Fischer2020). Since the late 1990s, this yield progress stagnated in high-yielding environments (Brisson et al. Reference Brisson, Gate, Gouache, Charmet, Oury and Huard2010; Calderini and Slafer Reference Calderini and Slafer1998) even though breeding progress is still linear (Rose and Kage Reference Rose and Kage2019; Voss-Fels et al. Reference Voss-Fels, Stahl, Wittkop, Lichthardt, Nagler, Rose, Chen, Zetzsche, Seddig, Majid Baig, Ballvora, Frisch, Ross, Hayes, Hayden, Ordon, Leon, Kage, Friedt, Stützel and Snowdon2019). As possible causes, climate change (Bönecke et al. Reference Bönecke, Breitsameter, Brüggemann, Chen, Feike, Kage, Kersebaum, Piepho and Stützel2020), changes in agricultural policy (Moore and Lobell Reference Moore and Lobell2015) or wheat grown in shorter rotations (Fischer et al. Reference Fischer, Byerlee and Edmeades2014) have been discussed.
Fischer Reference Fischer2020 mentioned increasing yields of wheat for the latest period between 2002 and 2016 compared to the stagnation in the years between 1986 and 2001. Potential factors explored by the author were the expansion of the production area and significant increases in global grain prices in 2008 and 2010. Given the current high prices and continuing demand for wheat, it appears probable that wheat production will continue to expand in the foreseeable future. This expansion can only be achieved at the cost of converting more land into cropping area or adopting shorter crop rotations.
Wheat grown after wheat is known to decline in yield. The extent depends on site, weather conditions and crop management (Bennett et al. Reference Bennett, Bending, Chandler, Hilton and Mills2012; Christen Reference Christen1998; Sieling et al. Reference Sieling, Stahl, Winkelmann and Christen2005). Therefore, wheat grown after break crops shows up to 20 % higher yields compared to wheat after cereals with a smaller benefit in semi-arid areas or dry seasons (Kirkegaard et al. Reference Kirkegaard, Christen, Krupinsky and Layzell2008). In contrast, Sieling et al. Reference Sieling, Stahl, Winkelmann and Christen2005 reported higher yield losses for wheat grown after wheat in drier years with a negative water balance (rainfall minus transpiration from May to July) compared to wheat after a break crop. Several reasons for the yield benefit of break crops have been discussed. Break crops may increase nutrient pools, mainly nitrogen (N) (Bullock Reference Bullock1992). However, Kirkegaard et al. Reference Kirkegaard, Gardner, Angus and Koetz1994 did not observe any effect of soil N differences between cereal and non-cereal pre-crops on wheat biomass at the start of stem elongation. Break crops may interrupt the life cycle of pathogens and thereby contributing substantially to disease control (Bullock Reference Bullock1992), but the direct link between a higher disease pressure and the observed yield decline is not easy to prove (Bennett et al. Reference Bennett, Bending, Chandler, Hilton and Mills2012; Bullock Reference Bullock1992).
A pathogen which is mainly related to yield decline in wheat grown in short rotations is the soil-borne fungus Gaeumannomyces tritici (Ggt) (Cook Reference Cook2003). Currently there are no wheat cultivars for farmers available that are resistant to Ggt (Palma-Guerrero et al. Reference Palma-Guerrero, Chancellor, Spong, Canning, Hammond, McMillan and Hammond-Kosack2021). As infected roots are limited in their functions, the plants are limited in N (Gutteridge et al. Reference Gutteridge, Bateman and Todd2003) and water uptake and are more susceptible to drought (Sieling et al. Reference Sieling, Stahl, Winkelmann and Christen2005). The highest decline of grain yield in wheat grown in a monoculture, defined as the same crop grown on the same field for several years, is usually observed in the third to fourth year. The yield decline in wheat with Ggt infections can be caused by a reduction in ears/m2 (Sieling et al. Reference Sieling, Stahl, Winkelmann and Christen2005; Sieling et al. Reference Sieling, Ubben and Christen2007), kernel number (Christen et al. Reference Christen, Sieling and Hanus1992; Sieling et al. Reference Sieling, Ubben and Christen2007; van Toor et al. Reference van Toor, Chng, Warren, Butler, Cromey, Craigie and McCloy2016) or grain weight (Christen et al. Reference Christen, Sieling and Hanus1992; Kirkegaard et al. Reference Kirkegaard, Gardner, Angus and Koetz1994; Sieling et al. Reference Sieling, Stahl, Winkelmann and Christen2005; Sieling et al. Reference Sieling, Ubben and Christen2007; van Toor et al. Reference van Toor, Chng, Warren, Butler, Cromey, Craigie and McCloy2016). A restriction in biomass can be observed early in the season (Arnhold et al. Reference Arnhold, Grunwald, Kage and Koch2023b), which can be explained by the plant allocating its energy towards the expression of resistance-related genes (Gholizadeh Vazvani et al. Reference Gholizadeh Vazvani, Dashti, Saberi Riseh and Loit2025). In some years, a yield decline in wheat grown after wheat can even be observed without any visible symptoms of Ggt infections on the roots (Arnhold et al. Reference Arnhold, Grunwald, Braun-Kiewnick and Koch2023a).
Grain yield is formally the product of kernels/m2 and grain weight (Fischer Reference Fischer2011). Analysing yield formation with this approach is often based on the hypothesis of sink limitation. Another approach is to dissect yield formation into three factors using Eq.(1):

where Q is the intercepted photosynthetic active radiation (PAR) by the canopy, RUE is the radiation use efficiency and HI is the harvest index (Monteith Reference Monteith1977). The amount of Q during the growing season depends on irradiation, the canopy size, its development until closure and how long the photosynthetic active (‘green’) plant material can be maintained (Long et al. Reference Long, Zhu, Naidu and Ort2006). RUE is the ability of the plant to convert the energy from the captured radiation into biomass (Arkebauer et al. Reference Arkebauer, Weiss, Sinclair and Blum1994; Long et al. Reference Long, Zhu, Naidu and Ort2006) and the HI is a function of assimilate allocation and translocation during the growth period (Lo Valvo et al. Reference Lo Valvo, Miralles and Serrago2018; Rivera-Amado et al. Reference Rivera-Amado, Trujillo-Negrellos, Molero, Reynolds, Sylvester-Bradley and Foulkes2019).
This approach expresses more explicitly the hypothesis of source limitation of grain yield, as the product of absorbed PAR and RUE is a proxy of ‘source’ strength, but at least the HI may be influenced by the sink strength.
According to Eq.(1), the generated biomass is linearly correlated to the amount of intercepted radiation in unstressed conditions (Monteith Reference Monteith1977; Wilson and Jamieson Reference Wilson, Jamieson, Day and RK1985). Yield formation may be determined by the size of the photosynthetic active plant, referred to as ‘source’, the number and size of the reproductive organs and therefore the capacity to store assimilates is the ‘sink’ (Asseng et al. Reference Asseng, Kassie, Labra, Amador and Calderini2017; Reynolds et al. Reference Reynolds, Slafer, Foulkes, Griffiths, Murchie, Carmo-Silva, Asseng, Chapman, Sawkins, Gwyn and Flavell2022; Schnyder Reference Schnyder1993). The importance of ‘source’ or ‘sink’ for the limitation of the final yield may vary with the developmental stage of the plant (Reynolds et al. Reference Reynolds, Slafer, Foulkes, Griffiths, Murchie, Carmo-Silva, Asseng, Chapman, Sawkins, Gwyn and Flavell2022). During stem elongation and the period pre-anthesis, the formation of grains and spikes is set and yield formation is source limited at this time. The number of grains and spikes, which have been built pre-anthesis, define the sink strength post-anthesis, which then limits the yield formation during grain-filling (Reynolds et al. Reference Reynolds, Slafer, Foulkes, Griffiths, Murchie, Carmo-Silva, Asseng, Chapman, Sawkins, Gwyn and Flavell2022). The most sensitive phase for yield formation was first defined by Fischer Reference Fischer1985 as the 30 days before anthesis. Slafer et al. Reference Slafer, Savin, Pinochet and Calderini2021 named the three weeks before until seven days after anthesis as the only period in which yield formation in wheat is source limited. Sabir et al. Reference Sabir, Rose, Wittkop, Stahl, Snowdon, Ballvora, Friedt, Kage, Léon, Ordon, Stützel, Zetzsche and Tsu-Wei2023 also found evidence of source limitation in yield formation several days after anthesis. After anthesis, the remobilization of stored proteins begins to fulfil the demand of the developing grain, which contributes to the final grain weight (Foulkes et al. Reference Foulkes, Hawkesford, Barraclough, Holdsworth, Kerr, Kightley and Shewry2009). In addition, Sabir et al. Reference Sabir, Rose, Wittkop, Stahl, Snowdon, Ballvora, Friedt, Kage, Léon, Ordon, Stützel, Zetzsche and Tsu-Wei2023 reported an impact of source strength post-anthesis on the final number of grains per area. The process of photosynthesis is restricted when the plant is exposed to environmental stress factors (Ashraf and Harris Reference Ashraf and Harris2013; Jamieson et al. Reference Jamieson, Martin, Francis and Wilson1995; O’Connell et al. Reference O’Connell, O’Leary, Whitfield and Connor2004; Schierenbeck et al. Reference Schierenbeck, Fleitas, Miralles and Simón2016; Sharma et al. Reference Sharma, Kumar, Shahzad, Ramakrishnan, Singh Sidhu, Bali, Handa, Kapoor, Yadav, Khanna, Bakshi, Rehman, Kohli, Khan, Parihar, Yuan, Thukral, Bhardwaj and Zheng2020).
The aim of this study is (1) to evaluate the impact of an unfavourable crop rotational position (CRP) on components of Eq. (1) and (2) to investigate possible effects of genotypic growth patterns which can contribute to overcome CRP-related limitations.
Material and methods
Site description
Data were collected in three consecutive growing seasons (2019/20 – 2021/22) in a long-term field experiment, which was established in autumn 1989 (for further information, see Sieling et al. Reference Sieling, Stahl, Winkelmann and Christen2005). The experiment was conducted at Kiel University´s experimental station Hohenschulen (54 °18´ N, 9 °58´ E, 33 m a.s.l.) in North Germany. The site is characterized by a small-scaled heterogeneous soil. The main type is a pseudogleyic sandy loam (Luvisol: 170 g/kg clay, pH 6.8, 13 g/kg Corg, 1.1 g/kg Norg in 0 – 30 cm). The climate is humid temperate with a mean long-term annual temperature (from 1991 to 2021) of 9.4 °C and an annual precipitation of 755 mm. In all three growing seasons, the annual mean temperature was above the long-term average (+ 1 °C in 2019/20, + 0.3 °C in 2020/21, + 1.5 °C in 2021/22) whereas the annual rainfall was below the average in 2019/20 (−9.3 mm) and 2021/22 (−27.4 mm) and above the average in 2020/21 (+ 13.7 mm) (Fig. 1).

Figure 1. Monthly air temperature (red line: mean, red ribbon: max and min) and monthly precipitation sum (blue bars) of the three growing seasons (October - September) compared to the long-term average (1991 – 2021) temperature (dashed black line) and precipitation sum (white bars).
Experimental design
The crop rotation of the experiment was faba bean – oat – oilseed rape (OSR) – winter wheat (WW) – WW – WW. For this study, the data samplings were focused on the first (W1) and third (W3) years of wheat following OSR. Each of the crops were grown separately on a main plot. On each of the six main plots, the crop rotated every year according to the crop rotation. Each CRP was present in every year of the experiment. Within W1 and W3, the combination of three genotypes (‘Elixer’, ‘Nordkap’, ‘Tobak’) and four rates of N fertilizer (calcium ammonium nitrate (27 % N)) (Table 1) were established in subplots. Each genotype x N rate combination was randomly distributed within four replicates in the main plots. Sub plot size was 12 m × 3 m, where 9 m × 3 m were used for harvest by combine. The main plots on which OSR, the second WW after OSR, faba beans and oats were grown had a uniform management to allow for homogenous starting conditions for W1 and W3. The N fertilization of the pre-crops from W1 and W3 were executed according to local farm management practice (OSR: 2019/20: 160 kg N/ha; 2020/21: 170 kg N/ha; 2021/22: 170 kg N/ha; W2: 2019/20: 190 kg N/ha; 2020/21: 240 kg N/ha; 2021/22: 220 kg N/ha). Except for the different N fertilizer applications in W1 and W3, all other crop managements (e.g. application of herbicides, fungicides, insecticides and plant regulators, and the fertilization of the other crops) were conducted according to site-specific recommendations. Sowing dates for W1 and W3 were 24 October 2019 with 350 kernels/m2, 01 October 2020 with 320 kernels/m2 and 08 October 2021 with 320 kernels/m2. Harvest dates were 08 August 2020, 13 August 2021 and 10 August 2022. After harvest, all residues of all crops remained on the plots.
Table 1. Amount of N fertilizer (kg N/ha) applied at the specific growth stage

Data collection
Site conditions
The experimental farm ‘Hohenschulen’ is situated in a young moraine landscape with small-scale variability of soil type and soil texture. Soil conditions, therefore, differed among the main plots on which each CRP was grown. In the season 2019/20, the main plots, on which W1 and W3 were grown, varied the most with more favourable conditions for W3. The soil of all main plots was classified according to the German Soil Classification System (Wittmann et al. Reference Wittmann, Blume, Filipinski and Witt1997) in each plot, but at least in the middle of four related plots up to a depth of 100 cm. The soil for the main plot, where W3 was grown in 2019/20, was mainly classified as a Cumulic Anthrosol with humus content and influenced by groundwater. This soil type has a good water-holding capacity and typically a good CEC and high phosphorus (P2O5) content (Driessen Reference Driessen2001). In contrast, the main plot, on which W1 was grown in 2019/20 and W3 in 2021/22, was mainly classified as a Stagnosol with partially carbonate in the subsoil. Characteristic for Stagnosols is a change of swelling and reduction, which causes drought and the migration of nutrients in deeper soil layers.
Green area index, intercepted radiation and radiation use efficiency
The measurement of the Green Area Index (GAI) was conducted biweekly during the main growing season from the beginning of April until the end of July with spectral data taken with the Parrot Sequoia camera (Parrot Drones SAS, Paris, France) as described in Bukowiecki et al. 2019. As the development of the GAI on a daily basis is important for further information such as the amount of intercepted radiation, the GAI of each sampling date was interpolated linearly between the date of plant emergence (10 days after sowing, GAI set to 0.03) and the first sampling date and between the last sampling date and the date of harvest (GAI set to 0). Between the sampling dates, a locally weighted scatterplot smoothing (LOESS) was applied by using the loess function in base R (R Core Team 2022), as described in Rose and Kage Reference Rose and Kage2019. The smoothing parameter α was set to 0.65 in 2019/20, to 0.6 in 2020/21 and to 0.5 in 2021/22.
The interpolated GAI curves were then used to calculate Q on a daily basis by Eq. (2) according to Lambert–Beers law (Monsi and Saeki Reference Monsi and Saeki1953):

where PAR is the photosynthetically active radiation estimated as 50% of the global radiation measured by a nearby weather station. The extinction coefficient k was set to 0.7 (Ratjen and Kage Reference Ratjen and Kage2018; Rose and Kage Reference Rose and Kage2019), and the GAI was extracted from the growth curves for each day. The calculated daily values of Q were used to cumulate the amount of Q during the time periods from plant emergence to anthesis (BBCH 59) (Meier Reference Meier2018) and from anthesis to harvest as well as the total amount of Q during the whole growing season (plant emergence to harvest) for all genotypes and all N rates.
The cumulated intercepted radiation from plant emergence to harvest was used to calculate the RUE at harvest as the relation between total aboveground biomass and Q (Monteith Reference Monteith1977).
Yield
All plots of W1 and W3 were harvested by combine. Grain yield was standardized to 86% dry matter based on the moisture content of a grain subsample. The thousand kernel weight (TKW) was derived from a subsample by weighing 500 kernels. Kernels/m2 were calculated as grain yield divided by TKW (x 100.000). The total aboveground biomass at harvest can be calculated by using the ratio of grain yield (combine harvest) and HI (hand harvest). As hand harvest was not conducted in all variants, and an earlier field trial at the same site indicated no significant impact of CRP or genotype on HI (Rose and Kage Reference Rose and Kage2019), the HI was set to 0.55 in all variants.
To describe the yield response to N fertilization a quadratic and a quadratic plateau (QP) model was fitted for each replication of the CRP x genotype variants in each growing season. Both models were able to describe the yield response with a small root mean square error (RMSE). The QP model showed a significantly smaller RMSE. For this reason, the QP model was chosen.
The economic optimal amount of N fertilizer (Nopt) was calculated with the product price for bread wheat (250 €/Mg) and the price for N fertilizer (1.5 €/kg) as a mean of the three years of this study (from 2020 to 2022). Nopt is the amount of N fertilizer where the returns of the product price are maximized over the costs for N fertilizer (Bachmaier and Gandorfer Reference Bachmaier and Gandorfer2012). The yield that would be achieved with Nopt is the optimum yield (Yopt).
Statistical analysis
All data processing was done using the statistical environment R 4.2.1 (R Core Team 2022). Data visualization was done using the package ggplot2 (Wickham Reference Wickham2016) and sjplot (Lüdecke Reference Lüdecke2023). Linear mixed effects models (Eq. (3)) were defined by using the package lme4 (Bates et al. Reference Bates, Mächler, Bolker and Walker2015). All statistical tests were performed with a significance level of P = 0.05. Analysis of variances (ANOVAs) were performed by using the package car (Fox and Weisberg Reference Fox and Weisberg2019), followed by multiple contrast tests with the package lsmeans (Lenth Reference Lenth2016).
Due to the experimental design, the year effect could not clearly be separated from the effect of CRP. W1 in 2019/20 and W3 in 2021/22 were grown on the same main plot. No other main plot was used twice for W1 and W3 in the three growing seasons of this study. The linear mixed effects model can calculate the impact of the main plot as a random effect because of the main plot that was used for both CRP. The year effect could not be calculated due to the experimental design, as it was included as random factor in the linear mixed effects model.
The linear mixed effects model (Eq. (3)) includes the fixed factors as well as their interaction terms (two-fold and three-fold). In case of no significance interaction terms were left out in further analysis. Appropriate random effects for the experimental design were also considered:

where Y is Q pre-anthesis, Q post-anthesis, Q and RUE, kernels/m2, TKW and grain yield.
The impact of Q pre- and post-anthesis on yield and yield components was analysed with Eq. (4)

Where Y is kernels/m2, TKW and grain yield.
Results
Green area index, intercepted radiation and radiation use efficiency
The GAI was shaped primarily by the amount of N fertilizer, with the higher N rates attaining higher GAI values (Fig. 2). In 2020/21 and 2021/22, all genotypes in W1 realized higher GAI values at all N rates throughout the whole season. In 2019/20 the genotypes in W3 developed higher GAI values in N3 and N4 compared to W1. In this year, the canopies of the W3 variants showed a faster development at the beginning of the growing season which resulted in higher maximum GAI values. In all three years, the canopies of W3 in all genotypes and at all N rates showed a faster senescence than the canopies in W1, with the clearest difference in 2021/22.

Figure 2. Green Area Index courses for both crop rotational positions (CRP) of the three genotypes in all nitrogen (N) rates. Lines represent the mean over all three growing seasons for each genotype in both CRP in each N rate. Ribbons represent the mean over all growing seasons and all genotypes for each CRP in each N rate. Sum of degree days since sowing were calculated with a base temperature of 0 °C.
In line with the GAI curves, the cumulated intercepted radiation (Q) at harvest was higher in W1 in 2020/21 and 2021/2022. In 2019/20, the W3 canopies intercepted more radiation. CRP (P < 0.001) and N (P < 0.001) fertilization had a significant impact on Q as well as the genotype (P < 0.001) (Table 2) with ‘Elixer’ intercepting the highest amount of PAR in total (Fig. 3) with 378.3 MJ/m2 in the unfertilized W1 variant and 742.4 MJ/m2 in the W1 variant with 240 kg N/ha compared to ‘Nordkap’ (0 kg N/ha: 310.3 MJ/m2; 240 kg N/ha: 722 MJ/m2) and ‘Tobak’ (0 kg N/ha: 309.1 MJ/m2; 240 kg N/ha: 720.1 MJ/m2). ‘Elixer’ showed the highest decrease in Q total in the unfertilized variant, intercepting 111.2 MJ/m2 less than in W1, whereas ‘Tobak’ had the smallest difference in the high fertilized variants with 40.9 MJ/m2 less in W3 over all genotypes and all N rates.
Table 2. ANOVA results for main effects and interactions according to Eq. (3)

CRP, crop rotational position; N, nitrogen rate; G, genotype; Q, radiation intercepted by the canopy; RUE, radiation use efficiency, TKW, thousand kernel weight.
Effects are considered as not significant (n.s.) at P ≥ 0.05.

Figure 3. Effect size (dots = mean difference) with 95 %-confidence intervals from the linear mixed effects model of crop rotational position, nitrogen (N) rate and genotype as well as their interaction on selected values of radiation interception (A: radiation intercepted by the canopy (Q) pre-anthesis (MJ/m2), B: Q post-anthesis (MJ/m2), C: Q total (MJ/m2), D: radiation use efficiency (g/MJ). The intercept is the unfertilized W1 (first year of wheat following oilseed rape) variant of the genotype ‘Elixer’ (A: 231.3 MJ/m2, B: 145 MJ/m2, C: 363.9 MJ/m2, D: 2 g/MJ).
Q pre- and post-anthesis were both significantly affected by CRP (Q pre-anthesis: P < 0.001, Q post-anthesis: P < 0.05), N rate (Q pre-anthesis: P < 0.001, Q post-anthesis: P < 0.001) and genotype (Q pre-anthesis: P < 0.001, Q post-anthesis: P < 0.001). In addition, Q post-anthesis is the only yield parameter which is significantly affected by the interaction of CRP x genotype (<0.05) (Table 2). In 2019/20, the W3 canopies intercepted more radiation pre-anthesis, contrasting to the other two growing seasons, where W1 intercepted more PAR pre-anthesis. The intercepted radiation post-anthesis was higher in W1 in all three years. ‘Elixer’ intercepted the highest amount of PAR pre- and post-anthesis (Fig. 3), with a higher difference to ‘Nordkap’ and ‘Tobak’ post-anthesis at low N rates (Fig. 4 & Fig. 5). ‘Tobak’ intercepted the highest amount of radiation in W3 post-anthesis and showed the lowest decrease compared to W1 (‘Tobak’: −12.5 MJ/m2 - −28.4 MJ/m2; ‘Elixer’: −23.3 MJ/m2 - −48.8 MJ/m2; ‘Nordkap’: −22.1 MJ/m2 - −34.2 MJ/m2).

Figure 4. Intercepted radiation pre-anthesis for both crop rotational positions (CRP) of the three genotypes in all nitrogen (N) rates. Lines represent the mean over all three growing seasons for each genotype in both CRP in each N rate. Ribbons represent the mean over all growing seasons and all genotypes for each CRP in each N rate. Sum of degree days since sowing were calculated with a base temperature of 0 °C.

Figure 5. Intercepted radiation post-anthesis for both crop rotational positions (CRP) of the three genotypes in all nitrogen (N) rates. Lines represent the mean over all three growing seasons for each genotype in both CRP in each N rate. Ribbons represent the mean over all growing seasons and all genotypes for each CRP in each N rate. Sum of degree days since sowing were calculated with a base temperature of 0 °C.
The RUE at harvest for all genotypes in all N rates was significantly lower in W3 (P < 0.01) (Fig. 3). The genotype (P < 0.001) had a significant impact on the RUE (Table 2). But compared to Q, where ‘Elixer’ intercepted the highest amount of PAR, ‘Tobak’ showed a higher RUE (Fig. 3) and was also the only genotype that had the same RUE in W1 and W3 in the fertilized variants.
Yield
Grain yield was significantly affected by CRP (P < 0.05), as it declined in W3 (4.1 Mg/ha – 10.2 Mg/ha; W1: 2.5 Mg/ha – 9.5 Mg/ha) in all four N rates as well as in all three growing seasons, even in 2019/20 when W3 was grown on more favourable site conditions. N fertilization (P < 0.001) increased the yield significantly with increasing N rates in W1 and W3 in all years (Fig. 6; Fig. 7). The genotype did not have a significant impact on yield (Table 2). Nopt and Yopt were not significantly affected by CRP or genotype (Table 2; Table 3).

Figure 6. Effect size (dots = mean difference) with 95 %-confidence intervals from the linear mixed effects model of crop rotational position, nitrogen (N) rate and genotype as well as their interaction on selected yield parameters (A: Grain yield (Mg/ha), B: Kernels/m2 (-), C: Thousand kernel weight (g). The intercept is the unfertilized W1 (first year of wheat following oilseed rape) variant of the genotype ‘Elixer’ (A: 4.1 Mg/ha, B: 45. 8 g, C: 8910.8 Kernels/m2).

Figure 7. Quadratic-plateau yield functions of the three genotypes in both crop rotational positions (CRP) to nitrogen (N) fertilization. Blank symbols represent the measured grain yield of each plot and full symbols stand for the calculated economic optimum rate of N fertilization of each genotype in both CRP.
Table 3. Economic optimal nitrogen fertilization rate (Nopt) (kg N/ha) and grain yield at economic optimal fertilization rate (Yopt) (Mg/ha) of the three genotypes with different crop rotational positions (CRP)

W1, first year of wheat following oilseed rape; W3, third year of wheat following oilseed rape.
In contrast to the grain yield, kernels/m2 and TKW were significantly affected by the genotype (kernels/m2: P < 0.001, TKW: P < 0.001) (Table 2). ‘Nordkap’ achieved the lowest number of kernels/m2 (W1: 7671 kernels/m2 – 19644 kernels/m2; W3: 5567 kernels/m2 – 17809 kernels/m2) and the highest TKW (W1: 48.4 g – 52.9 g; W3: 45.5 g – 50.9 g) in both CRP and at all N rates. ‘Elixer’ on the other hand had the highest number of kernels/m2 (W1: 9010 kernels/m2 – 21331 kernels/m2; W3: 6065 kernels/m2 – 19942 kernels/m2) and the lowest TKW (W1: 45.6 g – 49 g; W3: 42 g – 50.9 g). ‘Tobak’ had the highest TKW in 2021/22, but the kernels/m2 were not affected. The TKW increased most with moderate N fertilization whereas more kernels/m2 were formed with higher N fertilization (Fig. 6). The grain yield (Q pre-anthesis: P < 0.001, Q post-anthesis: P < 0.01) as well as the yield components kernels/m2 (Q pre-anthesis: P < 0.001, Q post-anthesis: P < 0.05) and TKW (Q pre-anthesis: P < 0.001, Q post-anthesis: P < 0.001) were significantly affected by Q pre- and post-anthesis as well as by their interaction. The CRP had no significant impact on the relation between the intercepted radiation and the yield components (Table 4).
Table 4. ANOVA results for main effects and interactions according to Eq. (4)

Q, radiation intercepted by the canopy; CRP, crop rotational position; N, nitrogen rate; G, genotype, TKW, thousand kernel weight.
Effects are considered as not significant (n.s.) at P ≥ 0.05.
Discussion
The aim of this study was to analyse effects of CRP in interaction with the genotype and different rates of N fertilizer on yield formation of winter wheat in a high-yielding environment. Therefore, besides grain yield itself, effects on yield components and the terms of the Monteith yield equation were analysed. The CRP had significant effects on Q and RUE of wheat which contributed to the reduction of yield and yield components in W3. The three genotypes had different responses to the CRP in the intercepted radiation post-anthesis, which resulted in different N response curves in W3. The experimental design, however, limited to some extend the analysis, as the interaction year specific effects with the other treatment effects could not be resolved.
The yield reduction in W3 is in accordance with the fact that wheat yield declines in a beginning monoculture and was also observed by others (Christen Reference Christen1998; Kirkegaard et al. Reference Kirkegaard, Gardner, Angus and Koetz1994; Sieling et al. Reference Sieling, Stahl, Winkelmann and Christen2005; Sieling et al. Reference Sieling, Ubben and Christen2007). An unfavourable CRP, in terms of grain yield, cannot be compensated by a higher amount of N fertilization (Angus et al. Reference Angus, van Herwaarden and How1991; Christen et al. Reference Christen, Sieling and Hanus1992). However, Kirkegaard et al. Reference Kirkegaard, Hocking, Angus, Howe and Gardner1997 reported that the yield decline could be overcome with higher N fertilization.
The yield decline in W3 occurred at all N rates and was composed by a reduction in the yield parameters kernels/m2 and TKW at all N rates and all genotypes. Here, the year effect was also obvious, but could not further be analysed. It was reported that earlier senescence post-anthesis resulted in higher N remobilization from the vegetative plant parts to the grain (Gaju et al. Reference Gaju, DeSilva, Carvalho, Hawkesford, Griffiths, Greenland and Foulkes2016), but also to lower grain yields itself (Waters et al. Reference Waters, Uauy, Dubcovsky and Grusak2009). In wheat grown after wheat, higher N concentration in the grain could be observed (Sieling et al. Reference Sieling, Stahl, Winkelmann and Christen2005), which was also the case in the data of this study (data not shown).
The economic optimally amount of N fertilization was higher in W3 but led to lower yields compared to W1. Therefore, an unfavourable CRP should be avoided from an environmental as well as from an economic point of view.
A significant interaction between genotype and Ggt-infection is dependent on year (van Toor et al. Reference van Toor, Chng, Warren, Butler, Cromey, Craigie and McCloy2016). There are also indications for such an interaction in the data of this study, but it is not possible to statistically proof this due to the experimental design. ‘Elixer’ tended to achieve higher yields at lower N rates. This resulted in a higher intercept for ‘Elixer’ compared to the other two genotypes in the response curves in W1. In contrast, the three genotypes had the same intercept in the N response curves in W3, but here the slopes differentiated with increasing N rates with ‘Tobak’ showing the highest response curve.
The most sensitive time period for yield formation is considered to be the weeks before anthesis and 7 days after anthesis (Slafer et al. Reference Slafer, Savin, Pinochet and Calderini2021), where yield formation is source-limited (Reynolds et al. Reference Reynolds, Slafer, Foulkes, Griffiths, Murchie, Carmo-Silva, Asseng, Chapman, Sawkins, Gwyn and Flavell2022). During stem elongation until anthesis, the final number of kernels/m2 is set (Miralles and Slafer Reference Miralles and Slafer2007). During this phase floret development and grain abortion takes place, which are most susceptible to environmental stress factors (González et al. Reference González, Miralles and Slafer2011; Reynolds et al. Reference Reynolds, Foulkes, Furbank, Griffiths, King, Murchie, Parry and Slafer2012). As a general decline in kernels/m2 in W3 was observed at all N rates, it can be assumed that the CRP had already an impact on yield formation pre-anthesis. The fact that the impact of environmental stress is higher than gene control during this phase (Garcia et al. Reference Garcia, Serrago, Appendino, Lombardo, Vanzetti, Helguera and Miralles2011) is supported by ‘Elixer’ developing the highest number of kernels/m2 in general but showing also the highest decline in W3.
The development of the GAI throughout the growing season was primarily shaped by the amount of N fertilization. But an effect of the CRP could also be observed with generally lower GAI values and a faster decline in W3. The faster decline of the GAI curves in W3 compared to W1 can be related to an earlier onset of senescence of the W3 canopies. Earlier senescence of plant material is related to an earlier lack of photosynthetic activeness (Sultana et al. Reference Sultana, Islam, Juhasz and Ma2021). This is a process coordinated by a complex gene network and starts when the plant enters the reproductive phase (Sultana et al. Reference Sultana, Islam, Juhasz and Ma2021). Although senescence is mainly controlled by the developmental stage, it is also a response to environmental stress factors (Lim et al. Reference Lim, Kim and Nam2007). As these factors include the infection with pathogens, the earlier senescence of the W3 canopies could be related to a higher disease pressure which often occurs in a beginning monoculture (van Toor et al. Reference van Toor, Chng, Warren, Butler, Cromey, Craigie and McCloy2016). The differences between the growing seasons in the GAI development of W1 and W3 were obvious, but could not further be interpreted.
Splitting the amount of intercepted radiation in phases pre- and post-anthesis gives a more detailed insight in the influence of CRP to yield formation. The amount of intercepted radiation pre-anthesis is correlated to the formation of kernels/m2 at harvest (Fischer Reference Fischer1985). This is in accordance with our observation of W3 showing a reduction of Q pre-anthesis as well as a reduction of kernels/m2. A correlation for genotypes with a longer phase of stem elongation and higher grain yields built by a higher number of kernels/plant was reported by Garcia et al. Reference Garcia, Serrago, Appendino, Lombardo, Vanzetti, Helguera and Miralles2011. In this study, significant differences between the genotypes were also observed for Q pre-anthesis and kernels/m2 with ‘Elixer’ intercepting the highest amount of PAR pre-anthesis and developing the most kernels/m2. A general effect on higher yields built by a higher number of kernels/m2 could not be observed. But Elixer’ developed the highest yields at low N rates in W1.
As ‘Elixer’ intercepted the highest amount of PAR pre-anthesis it can be assumed that this genotype established a higher vegetative biomass pre-anthesis. This seemed to be an advantage in yield formation, especially with less N fertilization. But this advantage could not be kept at higher N rates, especially under adverse growing conditions caused by an unfavourable CRP in W3.
After anthesis, the start of N remobilization from the vegetative plant parts to the developing seeds starts and is correlated with its onset of senescence (Sinclair and deWit Reference Sinclair and deWit1975). During that time, the final TKW is formed and yield formation is mostly sink limited (Reynolds et al. Reference Reynolds, Slafer, Foulkes, Griffiths, Murchie, Carmo-Silva, Asseng, Chapman, Sawkins, Gwyn and Flavell2022). In this study, a general reduction in TKW was observed in W3. This may partly be explained by the earlier decline of GAI in the W3 variants, as a delayed senescence provides a longer period of leave photosynthesis during grain-filling (Thomas and Howarth Reference Thomas and Howarth2000) which is also connected to a longer period of N uptake that in return can contribute to grain-filling and maintaining the photosynthetic active plant parts (Foulkes et al. Reference Foulkes, Hawkesford, Barraclough, Holdsworth, Kerr, Kightley and Shewry2009). On the other hand, Acreche and Slafer Reference Acreche and Slafer2009 reported a decreasing aboveground biomass post-anthesis if spikes had been trimmed. This shows a response from the plants to a lower number of kernels/m2. As for this study, the W3 variants had established less kernels/m2, the earlier decline in GAI might also be a response to a lower sink size during grain filling. The amount of intercepted PAR post-anthesis has also an impact on the formation of kernels/m2 (Sabir et al. Reference Sabir, Rose, Wittkop, Stahl, Snowdon, Ballvora, Friedt, Kage, Léon, Ordon, Stützel, Zetzsche and Tsu-Wei2023), which could in general also be observed for the yield formation in W1 and W3.
A lower number of kernels/m2 leads also to a lower RUE (Acreche et al. Reference Acreche, Briceño-Félix, Martín Sánchez and Slafer2009; Acreche and Slafer Reference Acreche and Slafer2011). This is in accordance with the W3 variants showing a reduced RUE. In contrast, ‘Elixer’ built the highest number of kernels/m2 between the genotypes but developed the lowest RUE.
Delayed senescence can also be seen as the possibility of canopies to respond to changing environmental conditions (Thomas and Ougham Reference Thomas and Ougham2014) and it is as well-dependent on the genotype (Cook et al. Reference Cook, Acharya, Martin, Blake, Khan, Heo, Kephart, Eckhoff, Talbert and Sherman2021; Rebetzke et al. Reference Rebetzke, Jimenez-Berni, Bovill, Deery and James2016). In this study, ‘Elixer’ intercepted the highest amount of PAR post-anthesis in W1. But ‘Tobak’ showed the significant interaction between CRP x genotype for Q post-anthesis, which indicates a better adaptation for this genotype to unfavourable environmental conditions caused by the CRP. As ‘Tobak’ had also the highest response curve in W3, it seems that the ability to maintain the photosynthetic active plant material post-anthesis longer might be a possibility to partly compensate an unfavourable CRP.
Conclusions
The results of this study showed a decline in yield and yield components for wheat grown in a beginning monoculture. A reduction in kernels/m2 and kernel mass was observed, which could be interpreted as a first hint of sink limitation. But the analysis of yield formation with the Monteith equation revealed a decrease of intercepted radiation as well as RUE. The reduction was observed early in the season when the final number of kernels/m2 was set as well as post-anthesis. This leads to the assumption that yield formation for wheat grown in an unfavourable CRP is rather source limited. A significant interaction of CRP x genotype was observed with ‘Tobak’ intercepting the highest amount of PAR post-anthesis when grown in a beginning monoculture. Combined with a higher response curve compared to the other two genotypes analysed in this study, it might be that this trait will be useful to partly overcome the limitation in yield formation of an unfavourable CRP. This knowledge might be helpful in the breeding process for new varieties to contribute to more stable yields to fulfil the worldwide growing demand for wheat as a staple crop.
Acknowledgements
We thank the team of the Hohenschulen Experimental Farm for their excellent work, Doris Ziermann and Gunda Schnack for their help and support with the field work and Prof. Mario Hasler for statistical advice.
Author contributions
Conceptualization, K.P., H.K.; data curation K.P., N.H.; formal analysis K.P.; writing – original draft, K.P.; writing – review and editing J.B., N.H., H.K.; visualization K.P., J.B.; funding acquisition H.K.; project administration H.K.; supervision H.K.
Funding statement
This work took place in the joint research project ‘Rhizosphere Processes and Yield Decline in Wheat Crop Rotations’ (RhizoWheat) and was funded by the German Federal Ministry of Education and Research (Funding reference no. 031B0910C).
Competing interests
None.
Ethical standards
Not applicable.
Appendix
Absolute values as a mean over the three growing seasons for intercepted radiation, yield and yield components

CRP, crop rotational position; N, nitrogen rate; Q, radiation intercepted by the canopy; RUE, radiation use efficiency; TKW, thousand kernel weight.