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Published in Agron. J. 96:1131-1138 (2004).
© American Society of Agronomy
677 S. Segoe Rd., Madison, WI 53711 USA

CORN

The Range of the Critical Nitrogen Dilution Curve for Maize (Zea mays L.) Can Be Extended Until Silage Maturity

Antje Herrmann* and Friedhelm Taube

Inst. of Crop Sci. and Plant Breeding, Dep. of Grass and Forage Sci./Organic Agric., Christian-Albrechts-Univ. Kiel, Olshausenstr. 40, D-24098 Kiel, Germany

* Corresponding author (aherrmann{at}email.uni-kiel.de).

Received for publication November 7, 2003.

    ABSTRACT
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS AND DISCUSSION
 CONCLUSIONS
 REFERENCES
 
The concept of critical N concentration (Ncrit) assumes at any time a minimum shoot N concentration necessary for maximum biomass production. For maize (Zea mays L.), Ncrit has of now been confirmed only from emergence to silking plus 25 d. These results were based on mineral N fertilization. In the present study, we verified that the validity of the concept can be extended to silage maturity and that it is not only applicable to mineral but also to organic N fertilizer. Our investigation included a 3-yr N fertilization experiment comprising four mineral N fertilization rates (0, 50, 100, and 150 kg N ha–1) and three slurry treatments (0, 20, and 40 m3 ha–1), respectively. A quadratic-plateau model was used to determine Ncrit values. An analysis of covariance indicated that the Ncrit-to-biomass relationship was extendible to the postsilking stages. The Ncrit [g N kg–1 dry matter (DM)] was then successfully described by a mononomial function of biomass W (t DM ha–1): Ncrit = 34.12·W–0.391. We suggest restricting the model to growth stages with biomass exceeding a threshold of 1 t ha–1. Model validation against an independent data set comprising different hybrids and soil conditions indicated a satisfactory separation of N-limiting and non-N-limiting growth. The Ncrit concept thus seems to provide an efficient tool for assessing the N status of forage maize for mineral and organic N fertilizers and for a broad range of hybrids, climates, and soil conditions.

Abbreviations: DM, dry matter • Ncrit, critical nitrogen concentration


    INTRODUCTION
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS AND DISCUSSION
 CONCLUSIONS
 REFERENCES
 
THE POTENTIAL IMPACT of agricultural pollution, particularly of N, has become a major concern during the last decades. The extent of N emissions can often be reduced substantially by appropriate fertilizer application regimes (Janzen et al., 2003). Nitrogen balances calculated for Germany indicate, according to Frede (1999), that the level of N surpluses differs substantially depending on farming type, with highest values on intensive livestock farms where maize plays an important role in forage production. Adjusting the N input to an economically and ecologically compatible level would require reliable information on the N status of maize. An ideal indicator of crop N status should be able to detect deficiencies and excesses of N supply and provide a fast diagnosis to allow correction in the same growing season. Information on the N status can be obtained either from the crop side or from the soil side of the system. Crop-related indicators can be classified mainly into three groups, namely those where the N status is monitored by (i) nitrate concentration, (ii) optical methods, or (iii) total N concentration. For further details on the first two methods, see Hooker and Morris (1999), Fox et al., (2001), and Schröder et al. (2000).

The third kind of indicators relies on total N concentration of specific plant organs or the whole plant, as for example, in the concept of Ncrit. At any growth stage of a crop, Ncrit is defined as the minimum N concentration required for maximum crop growth rate (Ulrich, 1952). It was demonstrated that the Ncrit can be assumed as a mononomial function of aboveground biomass, called the critical N dilution curve. Based on the Ncrit, a N nutrition index (NNI) can be defined as the ratio of actual N concentration to Ncrit (Lemaire et al., 1989). An NNI value of 1.0 or larger indicates non-N-limiting growth, whereas NNI values below 1.0 correspond to N deficiency situations. The concept of Ncrit was successfully applied to various crops, e.g., grasses (Lemaire and Salette, 1984), wheat (Triticum aestivum L.) (Justes et al., 1994), rapeseed (Brassica napus L.) (Colnenne et al., 1998), rice (Oryza sativa L.) (Sheehy et al., 1998), and grain sorghum (Sorghum bicolor L.) (van Oosterom et al., 2001).

With respect to maize, Cerrato and Blackmer (1991) concluded that for grain yield, the Ncrit of the leaf opposite or below the ear is not a sensitive indicator of the N status. Similarly, studies of Binford et al. (1992) indicated that for early growth stages, the total N concentration of the whole crop does not provide a reliable tool for assessing the N availability. A similar point was made by Plénet and Lemaire (1999) by assuming Ncrit of the whole crop to remain constant in early growth stages (biomass < 1 t DM ha–1), which they explained by limited competition for light of isolated plants and only a small decline of Ncrit with increasing biomass. Above the 1-t threshold, however, they verified the existence and the mononomiality of the Ncrit-to-biomass relationship up to silking plus 25 d. Beyond that developmental stage, they assessed the validity to be restricted due to the cessation of N uptake and subsequent N remobilization from leaf and stalk into the cob, which is paralleled by an increase of starch accumulation. Our own data and findings by Reed et al. (1988) and Coors et al. (1997) indicate that the impact of N remobilization and starch accumulation on the relationship between Ncrit and biomass is not very pronounced, particularly in the case of forage maize.

Most German dairy farmers make use of the services of the existing network of private and official consultancy agencies to analyze forage quality of their roughages and therefore often possess information about the N concentration of their silages. Provided that these farmers would record their forage maize yield and that the mononomial model extends until silage maturity, the Ncrit at silage maturity could serve as a simple and effective tool for the assessment of the N status of their forage maize. Such knowledge could be exploited to adjust the N management of the following vegetation period by means of a learning by doing strategy, i.e., by an adaptive management approach where the N management is regarded as a continuously ongoing process using observations and feedback, raising awareness, and encouraging farmers to develop N fertilization strategies that decrease the pollution risk. This approach assumes that only negligible N losses occur during the ensiling process. It is therefore of major interest to investigate whether the critical N dilution curve can be extended until silage maturity. And since so far only mineral N fertilization has been taken into consideration for the derivation of critical N dilution curves, it would be also of interest for the application in practical agriculture to test whether its validity can be extended to organic fertilization and therefore serve as an indicator of N status.

Accordingly, the main objective of the present study was to verify by field experiments the extendibility of the mononomial critical N dilution curve until the stage of silage maturity. For that purpose, we aimed to quantify the relationship between DM yield and Ncrit and to validate the obtained model function with an independent data set. Furthermore, we intended to clarify whether the model applies to mineral as well as organic N fertilization.


    MATERIALS AND METHODS
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS AND DISCUSSION
 CONCLUSIONS
 REFERENCES
 
The Karkendamm Experiment
The derivation of the critical N dilution curve was based on a field experiment conducted in northern Germany as part of the interdisciplinary research project Karkendamm (Taube and Wachendorf, 2000) where N flows in the soil–plant–animal system were analyzed for specialized dairy farms with varying production intensities and different management strategies. The data were collected during the growing seasons of the years 1997 to 1999. The study was conducted at the experimental farm Karkendamm (53°55' N, 9°55' E; alt. 14 m) of the Faculty of Agricultural and Nutritional Sciences, Christian-Albrechts University of Kiel. The soil type at Karkendamm can be classified as gleyic Podzol, derived from sandar (glacial fluvial deposits) of the last glaciation, with soil texture being dominated by sand. The climate at the experimental site is moderate maritime with wet, cool summers and mild winters. Overall, temperature fluctuation is narrow, with an average daily temperature of 8.4°C. Mean annual precipitation is 823.6 mm. For climatic conditions during the experimental period, see Table 1.


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Table 1. Monthly mean air temperature and total precipitation for the vegetation periods of the Karkendamm and Ostenfeld experiments.

 
The experiment was conducted in the same area of the field for the three consecutive growing seasons. Before this study, the site had been planted with maize for at least 3 yr. The variety ‘Naxos’, an early single-cross hybrid, was planted between end of April and beginning of May, with plant populations ranging from 100000 to 110000 plants ha–1. A split-plot design with four blocks was used for the field experiment. The main-plot treatments consisted of three cattle slurry fertilization rates (0, 20, and 40 m3 ha–1), with N contents varying over the years, namely 2.4, 1.8, and 3.4 kg N m–3 in 1997, 1998, and 1999, respectively. Slurry was always applied before sowing. Subplot treatments consisted of four mineral N fertilization rates (0, 50, 100, and 150 kg N ha–1). The subplot size was 17 by 15 m, with rows 0.75 m apart. Nitrogen fertilizer was applied as calcium ammonium nitrate in aliquot splittings at the one- and six-leaf stage, respectively. The field trial did not receive any irrigation. The amount of P and K fertilization was supplemented on all plots to adjust to the highest slurry application rate. Further crop management measures were applied according to the common agricultural practice to allow potential production, i.e., no other factor was limiting except for N.

Growth and quality change of the maize crop was recorded fortnightly throughout the whole vegetation period from beginning of June until late September/early October, which resulted in 8, 11, and 10 sampling dates for 1997, 1998, and 1999, respectively. On each date, 10 adjacent plants were sampled by hand-clipping. Half of the sample, i.e., five plants, were fractionated into leaf, stalk, and ear and chopped while the remaining five plants of the sample were not fractionated but chopped as a whole. Subsequently, representative subsamples were dried to constant weight at 65°C. All samples were fine-grounded using a Cyclotec mill (Foss Tecator AB, Höganäs, Sweden), which was fitted with a 1-mm screen. Nitrogen content of the samples was estimated by near-infrared reflection spectroscopy (NIRS). All samples were scanned on a NIRSystems Model 5000 Monochromator (NIRSystems, Silver Spring, MD, USA). Calibration and validation were developed using software from Infrasoft International (ISI, Port Matilda, PA, USA). Calibration and validation subsets were analyzed with the Kjeldahl method according to the procedure of Naumann and Bassler (1976). The standard error of NIRS technique prediction for the estimation of N concentration was about 0.13 g N kg–1 DM.

The Ostenfeld Experiment
The validity of the critical N dilution curve was tested by using an independent data set collected in a field experiment during 1996 and 1997 where the performance of seven cultivars was analyzed with respect to productivity and N response. The study site was located in Ostenfeld, northern Germany (54°18' N, 9°46' E; alt. 14 m.), where the soil is a loamy sand. Average daily temperature is 8.2°C, and mean annual rainfall is 764.0 mm. For climatic conditions during the experimental period, see Table 1. For both years, the experiment was conducted on the same plots (6 by 9 m), which had been planted with maize for at least 3 yr before this study. The trial was laid out in a complete block design with four replicates. The three N treatments (0, 50, and 150 kg N ha–1) and the seven hybrids (the mid-early cultivar Helmi and the six early cultivars Alarik, Kid, Naxos, Jericho, Helix, and Pirat) were randomly allocated to the plots. Phosphorus and K fertilization were applied according to soil test recommendations. The plots were sown at the end of April with a plant population of 90000 plants ha–1. Nitrogen fertilizer was applied shortly after planting. Plots were sampled in 3-wk intervals starting 4 wk after emergence. Whole plants were weighed and shredded and a subsample dried to constant weight at 65°C. The N content was determined by the micro-Kjeldahl procedure.

Data Processing
Commonly, Ncrit values are determined by a method described in Justes et al. (1994), which as a first step, partitions the data of each sampling date into two groups, namely into (i) the group of N-limiting treatments where increasing N supply results in a significant response in yield and N concentration and (ii) the group of non-N-limiting treatments where additional N supply does not lead to further increase of yield but only of N concentration. This partitioning is achieved by a sequel of t-test comparisons. In a second step, regression lines are calculated separately for each group of data points. The N concentration at the intersection point of these two regression lines constitutes the desired Ncrit value. This method unfortunately fails on the one hand when the N application rates of adjacent treatment levels are too close to discriminate between corresponding yields and on the other hand if the number of data points is too small for a meaningful regression line calculation.

With respect to the Karkendamm data set, the method failed because adjacent N treatment levels were too close to each other. A combination of four levels of mineral N fertilizer and three levels of slurry application resulted in a total of 12 treatments with relatively small differences with respect to applied N amounts. For this reason, the following alternative method was developed to determine the Ncrit value of each sampling date. Instead of partitioning the corresponding data points into N-limiting and non-N-limiting treatments, the entire data set of each sampling date was used to fit a quadratic-plateau–shaped function describing DM yield as response of N concentration, i.e.


[1]
where W is the aboveground DM yield (t DM ha–1), Nc is the N concentration (g N kg–1 DM), Ncrit the critical N concentration (g N kg–1 DM), and a0, a1, a2, and c are curve parameters. These parameters were estimated using the procedure NLIN (SAS V.8.2). Figure 1 exemplifies the resulted fitted function for Sampling Date 9 of the Karkendamm experiment in 1999. The desired Ncrit value is now obtained as the N concentration where the quadratic part passes into the plateau part, W(Nc) = c, of the function. In this approach, the second-degree polynomial represents the N-limiting part while the plateau part corresponds to saturation and luxury uptake of N.



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Fig. 1. Relationship between N concentration [g N kg–1 dry matter (DM)] and biomass (W, t DM ha–1), exemplified for Sampling Date 9 of the Karkendamm experiment in 1999. The critical N concentration is given as joint point of two regression functions describing the responsive and nonresponsive part of the relationship, as explained in the text.

 
Using the obtained Ncrit values, the critical N dilution curve can be determined. To examine whether this curve can be extended beyond silking plus 25 d until silage maturity, we performed a log transformation (on DM yield and the corresponding Ncrit values), which allowed (because of mononomiality) to assume without loss of information a linear model for the transformed data. We then conducted an analysis of covariance (using PROC GLM) and compared the presilking vs. the postsilking phase by introducing developmental phase as classifying factor. Differences in the critical N dilution curve parameters between the two developmental phases would be reflected in a statistically significant biomass x developmental phase interaction.

After establishing the extendibility of the mononomial model until silage maturity, the critical N dilution curve was derived by fitting to the untransformed data the function

where a and b denote curve parameters.


    RESULTS AND DISCUSSION
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS AND DISCUSSION
 CONCLUSIONS
 REFERENCES
 
Derivation of Critical Nitrogen Concentration Values
Critical N concentration values were determined by fitting a quadratic-plateau function separately for each of the 29 sampling dates (8 in 1997, 11 in 1998, and 10 in 1999). In 18 data sets, a Ncrit value could be calculated, as listed in Table 2. Nine of the Ncrit values were obtained from presilking sampling dates and nine from the postsilking phase. In 11 out of 29 dates, the fitting procedure failed, in few cases because no clear plateau was estimated. Most failures, however, occurred for early sampling dates where the impact of N on biomass production turned out to be weak. As Ma et al. (1999) observed, N uptake follows a sigmoid pattern, exhibiting a strong increase between the six-leaf stage and 2 wk after silking. In early growth stages, especially with N fertilization, N supply usually exceeds crop demand (Bänziger et al., 2000). Differences in N treatments therefore may not necessarily result in altered biomass production as experienced in the present study.


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Table 2. Dry matter (DM) yield (t DM ha–1) and corresponding critical N concentration (Ncrit, g N kg–1 DM) calculated for the Karkendamm experiment; the last column identifies the data points collected during the postsilking period.

 
Verification of Critical Nitrogen Concentration-to-Biomass Relationship
The C/N metabolism in the early postsilking period is dominated by the establishment of the kernel sink capacity, i.e., cell differentiation and expansion (Jones and Setter, 2000), resulting mainly in increased ear volume. The N demand of the grain in this developmental phase is satisfied by N uptake from the soil and by remobilization from leaves and stalks (Ta and Weiland, 1992). According to Plénet and Lemaire (1999), this early period lasts about 25 d with steadily declining values of Ncrit, which can be best described by a mononomial critical N dilution curve. For later developmental stages, they reported a notable departure from the mononomial curve, which they attributed to a cessation of plant N uptake, reaching a maximum between Day 25 and 35 after silking and a faster remobilization of N from leaves and stalks, paralleled by the onset of intensified grain filling.

Our data (Karkendamm experiment) did not confirm this departure from mononomiality, but showed a different pattern. In contrast to Plénet and Lemaire (1999), but in agreement with Ta and Weiland (1992), we observed that the N uptake in optimal and supra-optimal N treatments increased almost until the stage of silage maturity. Figure 2 exemplifies this by displaying for the year 1999 the N yield of the four pure mineral N treatments (0, 50, 100, and 150 kg N ha–1) and the corresponding (combined) treatments where each mineral N treatment was supplemented by a 40-m3 slurry application. Figure 2 shows that the N uptake for all treatments above 50 kg mineral N ha–1 (with or without slurry supplement) increased over the entire vegetation period. A cessation of N uptake is only observed in the N-deficient treatments, for instance 0 M/0 S, 50 M/0 S, and 0 M/136 S (where M = mineral N and S= slurry, see Fig. 2). All studies cited above use day units to measure developmental events, such as maximum N uptake. This kind of scale limits the comparability between studies. Due to large environmental impacts, particularly of temperature on plant development, day units are not suitable for comparisons of different field experiments or genotypes. For this reason, we included in Fig. 2 a second x axis representing growing degree units based on 6°C base temperature.



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Fig. 2. Experimental results of crop N yield for the pure mineral N (0, 50, 100, and 150 kg N ha–1) and the combined treatments of mineral N supplemented by 40 m3 of slurry (=136 kg N ha–1) in the year 1999. Treatments are indicated by the amount of N (kg N ha–1) applied as mineral N (M) and as slurry (S). Data for leaf, stem (including tassle), and ear (including husk, cob, and shank) were obtained by fractionation. Bars around points indicate ± standard error (SE); where bars are not shown, points were larger than the SE. Whole-crop dry matter (DM) content at silage maturity (last sampling date) ranged between 325 and 365 g DM kg–1 fresh weight. The growing degree days (GDD) are based on 6°C base temperature with calculation starting at sowing (28 April).

 
A major objective of our analysis was to examine whether the critical N dilution curve departs in late postsilking stages significantly from the mononomial model as proposed by Plénet and Lemaire (1999) or whether it is appropriate to extend the model Ncrit = a·Wb until silage maturity. Before testing this hypothesis, a data selection step was required. Following Plénet and Lemaire (1999), who suggested to discard all data points with biomass below 1 t DM ha–1 and motivated by our own data, we eliminated one such very early sampling date. In very early stages of vegetative growth, maize plants show a different relationship between biomass production and N concentration. Since the plants experience less stress in early developmental stages, especially less competition for light, the N concentration declines at a lower rate compared with later stages of development (Lemaire and Gastal, 1997). Thus, the maximum rate of N uptake occurs before the maximum rate of DM production (Greef et al., 1999). A biomass of 1 t DM ha–1 seems to mark a threshold, below which the mononomial model becomes invalid. For the very early vegetative growth period, Plénet and Lemaire (1999) suggested a constant Ncrit value of 34.0 g N kg–1 DM. This seems, for several reasons, questionable. From a biological standpoint, and by extrapolations from studies of other crops, it seems very unlikely to encounter a constant N concentration even for these early stages. In addition, the discarded sampling date (1998, six- to seven-leaf stage) of our Karkendamm study exhibited, with 38.5, a far higher Ncrit value than 34.0. We therefore restricted the range of our critical N dilution curve to above 1 t DM ha–1 and based our analysis of covariance and the nonlinear regression on the remaining 17 data points with yields above 1 t DM ha–1.

The analysis of covariance of the log-transformed data, as described in the Materials and Methods section, with developmental phase serving as classifying factor, supports the validity of our extension hypothesis (see Fig. 3) . The interaction biomass x developmental phase proved to be statistically nonsignificant and allowed, therefore, the assumed relationship between biomass and the Ncrit to be regarded as valid for the pre- and postsilking stages. For reasons of sample size, we distinguished only two classes of developmental stage. Following Plénet and Lemaire (1999), one could have alternatively defined three classes by splitting postsilking further into two classes (up to 25 d past silking and from there to silage maturity), which was not possible for the present study due to a limited data set. After having established the validity of the model for the extended range by an analysis of covariance, we estimated the parameters for Eq. [2] using PROC NLIN.



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Fig. 3. Relationship between the natural logarithms of aboveground biomass [W, t dry matter (DM) ha–1] and critical N concentration (Ncrit, g N kg–1 DM) for the Karkendamm data set. Closed symbols (•) denote presilking and open symbols ({circ}) postsilking growth stages; the table enclosed presents the effects of log-transformed biomass (lnW), developmental phase (dev), and the corresponding interaction.

 
Figure 4 shows the resulting mononomially shaped critical N dilution curve. Table 3 compares the parameters as published in Plénet and Lemaire (1999) with our own results. All estimated parameters are essentially identical; our parameters exhibit no significant differences to the Plénet and Lemaire results of Regression 1 (up to silking plus 25 d) as well as Regression 2 (up to silage maturity). The wider confidence intervals of the Karkendamm data set compared with the Plénet and Lemaire data were mainly due to the slurry treatments. After slurry application, the transformation of N is mainly controlled by soil temperature, soil water status, and soil type or texture (Griffin et al., 2002), which may result in a larger variability of data compared with mineral N application.



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Fig. 4. Relationship between critical N concentration [Ncrit, g N kg–1 dry matter (DM)] and DM yield (W, t DM ha–1) of the Karkendamm data set, calculated for the Ncrit data, where W > 1 t DM ha–1.

 

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Table 3. Parameter estimation for describing the critical N concentration (Ncrit, g N kg–1 DM) as a function of biomass (W, t DM ha–1) with the model Ncrit = a·Wb for the data sets of Plénet and Lemaire (1999) and the Karkendamm experiment.

 
Since our N treatments consisted of partially mineral and partially organic fertilization, while Plénet and Lemaire (1999) applied solely mineral N fertilizer, the concordance of parameters indicates that the Ncrit-to-biomass relationship is valid for mineral as well as organic N fertilization. Differences among the hybrids involved in the two studies were considerable, with FAO maturity ratings ranging between 220 (the present study) and 550 (Plénet and Lemaire study). Soil conditions covering the whole range from humous sand (present study) to silty loams (Plénet and Lemaire study) as well as differences in climatic conditions (moderate maritime in northern Germany vs. warm maritime in southwestern France) furthermore substantiate that the critical N dilution curve remains relatively unchanged over a broad range of environments and genotypes. This finding seems remarkable since environment and genotype are generally known to substantially affect the yield potential. In contrast to Stockdale et al. (1997), who proposed to relate Ncrit to development stage rather than to biomass, because stresses other than N can influence biomass, our results support a stronger relationship of Ncrit to biomass than to development stage.

Validation of the Critical Nitrogen Dilution Curve
To study the performance of the derived Ncrit-to-biomass relationship, we applied our critical N dilution curve to an independent validation set (Ostenfeld experiment). The DM yields ranged between 1 and 22 t DM ha–1, depending on fertilization level, sampling date, hybrid, and year. Dry matter yield data were evaluated by an analysis of variance and revealed consistently lower yields for the 0 and the 50 kg N ha–1 treatments compared with the 150 kg N ha–1 fertilization level (data not presented). Assuming that the 97 data points of the 0- and 50-kg N treatments were N limited while the 41 data points of the 150-kg N treatment were generally non-N-limited, we examined the number of data points misclassified by the critical N dilution curve. Overall, the limited vs. the nonlimited categories were well discriminated by the curve, as Fig. 5 illustrates. In the nonlimiting group, the instances of misclassification were moderate to low and, in the limiting group, nearly absent. Table 4 displays the number of incorrect classifications with corresponding relative frequencies calculated for each hybrid and category separately. Larger discrepancies for Helix, Helmi, and Naxos in the nonlimiting category suggest that the accuracy of prediction depends to some degree on the hybrid involved. In total, for 14.6%, i.e., for 6 out of 41 hybrid x fertilizer combinations, growth was misleadingly classified as N limited. One should, however, take into account that the highest N treatment of the Ostenfeld experiment was in the range of optimum rather than excess N fertilization, which might be the reason for most of these misclassifications. Despite the fact that the 150 kg N ha–1 treatment resulted in significantly higher DM yield for all hybrids than the two lower N treatments did, it is still conceivable to assume that Helix, Helmi, and Naxos did not achieve maximum DM yield with the 150 kg N ha–1 treatment. In addition, one should consider that the observed rate of 14.6% wrong classifications drops to only 2.4% if we allow for an uncertainty of 5% with respect to Ncrit estimation. In the N-limited category, only 6.2%, i.e., 6 out of 97 data points, were mispredicted. This rate drops to 3.1% if an uncertainty of 5% is included. The outliers all belonged to the 50 kg N ha–1 treatment, and contrary to the high-N group, the dependency from hybrid did not show up, except for Alarik.



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Fig. 5. Validation of the critical N dilution curve using the Ostenfeld data set. Open symbols ({circ}: 0 kg N ha–1; {square}: 50 kg N ha–1) denote N-limiting growing conditions and the closed symbol ({blacktriangleup}: 150 kg N ha–1) non-N-limiting conditions. The continuous line (—) represents the mononomial critical N dilution curve Ncrit = 34.12·W–0.391, describing the relationship between dry matter (DM) yield (W, t DM ha–1) and the critical N concentration (Ncrit, g N kg–1 DM).

 

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Table 4. Validation of the critical N dilution curve based on data collected in the Ostenfeld experiment. Model accuracy was evaluated by the number of data points and corresponding relative frequencies (in %, see parentheses) that the critical N concentration (Ncrit) function misclassified either as non-N-limited in the N-limiting categories (0 and 50 kg N ha–1) or as N-limited in the non-N-limiting category (150 kg N ha–1). By using 0.95 x Ncrit and 1.05 x Ncrit, a 5% uncertainty of Ncrit estimation was introduced.

 
The results substantiate the validity of the Ncrit-to-biomass relationship, as was demonstrated for other crops by Justes et al. (1994), Colnenne et al. (1998), and van Oosterom et al. (2001). Unfortunately, the validation data set did not allow to evaluate the critical N dilution curve for organic fertilization treatments. Nevertheless, the relationship between biomass and N concentration seems to be quite robust over a wide range of experimental conditions. Limitations may apply in severe stress conditions if a regular uptake, assimilation, and translocation of N is hampered (Justes et al., 1994).

Among the crop-related indicators available for assessing N supply of forage maize, the Ncrit is accentuated by several advantageous features. The work of Plénet and Lemaire (1999) and the present study have proven the concept of Ncrit to be valid for nearly the whole vegetation period of silage maize, i.e., form early growth stages (>1 t DM ha–1 biomass) until silage maturity. Other indicators do not allow for such wide time frames, for instance, the end-of-season corn stalk test (Hooker and Morris, 1999), whose reliability is limited in earlier growth stages. Another important advantage of the Ncrit method relies in its potential to detect N deficiency as well as overfertilization. The popular chlorophyll meter test, in contrast, is a poor predictor of excess N supply (Schröder et al., 2000). The critical N content does not require any reference plots, which, however, are recommended for other crop-related indicators (Schröder et al., 2000). Finally, data on N content of maize silages are widely available to German farmers, i.e., only the corresponding DM yield has to be determined to apply Ncrit as an indicator of N status.

Impact of Source–Sink Ratio on Carbon and Nitrogen Allocation during the Grain-Filling Period
The experimental verification of the extendibility of the critical N curve until the stage of silage maturity suggests that the dilution effect of starch accumulation on N concentration of the whole crop is not as pronounced as stated in Plénet and Lemaire (1999). To understand this observation, a closer look on the source–sink relationships during grain filling may be helpful.

The partitioning and remobilization of C and N into the grain is a function of the specific source–sink ratio of the crop, which itself depends on genotype x environment interactions and can be influenced by crop management factors, e.g., by fertilization (Uhart and Andrade, 1995). The sink capacity of the grains strongly depends on the growing conditions during the early stages of kernel growth (Jones et al., 1996). In climates with high temperatures and with high light intensity, the kernel growth is primarily fuelled by photosynthesis of leaves and stalk, and yields are mainly limited by sink capacities (Uhart and Andrade, 1995). In cool-temperate climates with low irradiation intensities, as in northern Europe, northern USA, and Canada, maize production is more likely to be source limited, i.e., assimilate demand for kernel development exceeds the supply by photosynthesis of the stover (Coors et al., 1997).

While sink limitation is indicated by greater accumulation of nonstructural carbohydrates (CH) in the stalk and less N remobilization from vegetative plant parts (Uhart and Andrade, 1995), source limitation, on the other hand, is characterized by a greater remobilization of N as well as nonstructural carbohydrates from stalk (Reed et al., 1988). In our experiments, those treatments with N concentrations close to the Ncrit showed about 32 to 43% of kernel N originating from vegetative parts (with 5 to 24% from leaf and 19 to 27% from stalk, data not presented). These results are in agreement with the study by Ma et al. (1999), who reported that for highly fertilized crops, vegetative parts contribute to kernel N between 20 to 50%. Somewhat higher values were obtained by Ta and Weiland (1992), with N remobilization of 63 to 73% and 83 to 85% for leaf and stalk, respectively. For leaf, stalk, and roots, they reported contributions to kernel N of 47, 45, and 9%, respectively. According to Ruget (1993), carbohydrates remobilized from stover may account for less than 10% under favorable growing conditions and up to 50% in less-favored, northern areas. In the present study, the treatments with N concentrations close to the Ncrit showed losses of stalk DM ranging between 30 and 34% (data not shown), which is an indication of source-limited grain growth conditions.

There is a general consensus that the whole-crop N level depends to some extent on source and sink limitations. However, evidence gathered in several studies suggests that in the case of forage maize, the influence of source–sink restrictions on the relationship between Ncrit and biomass is not that pronounced. Coors et al. (1997) studied the effects of ear fill on yield and forage quality and found that a 50% decrease in ear fill resulted in a 0.5% (0.8 g N kg–1 DM) increase of N content of the whole crop. Shading experiments of Reed et al. (1988) indicate also very modest effects of source limitation on the N content of the whole crop. A reduction of irradiation by 50% resulted in only slight decreases of whole-crop N concentration during the grain-filling stage. The 50% ear fill scenario of Coors et al. (1997) as well as the 50% shading treatments of Reed et al. (1988), however, have to be regarded as beyond the scope of sink or source limitations usually encountered in northern Europe.


    CONCLUSIONS
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS AND DISCUSSION
 CONCLUSIONS
 REFERENCES
 
Our study suggests that the mononomial model for critical N dilution in forage maize can be extended beyond the growth stage silking plus 25 d until silage maturity, as long as the total biomass exceeds 1 t DM ha–1. This finding is intended to answer the question posed in Plénet and Lemaire (1999) concerning the validity of the model for developmental stages past silking plus 25 d. In addition, our results indicate that the model applies not only to mineral but also to organic fertilization, the latter being a common part of fertilization in northern Europe's maize-growing regions. The Ncrit can thus serve as a simple and effective indicator for the detection of suboptimal supply as well as luxury consumption of N in forage maize. While in the vegetative growth stages, information on the N status may be used for adjustments of N fertilization of the current growth period, knowledge of N content at silage maturity allows corrections of future N management (learning-by-doing strategy). Since in Germany, data on silage N content are widely available, we recommend exploiting the described method of Ncrit at silage maturity as a powerful tool for the monitoring of N status, not only of single fields, but of whole regions.


    ACKNOWLEDGMENTS
 
We are indebted to Nina Jovanovic for data sampling of the Karkendamm data set and Prof. Rainer Wulfes for kindly providing the Ostenfeld data set.


    REFERENCES
 TOP
 ABSTRACT
 INTRODUCTION
 MATERIALS AND METHODS
 RESULTS AND DISCUSSION
 CONCLUSIONS
 REFERENCES
 




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