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Article

Optimal Nitrogen Fertilization to Reach the Maximum Grain and Stover Yields of Maize (Zea mays L.): Tendency Modeling

by
Sergio E. Medina-Cuéllar
1,
Deli N. Tirado-González
2,*,
Marcos Portillo-Vázquez
3,
Sergio Orozco-Cirilo
4,
Marco A. López-Santiago
5,
Juan M. Vargas-Canales
4,
Carlos A. Medina-Flores
6 and
Abdelfattah Z. M. Salem
7
1
Departamento de Arte y Empresa, División de Ingenierías Campus Irapuato-Salamanca, Universidad de Guanajuato, Carretera Salamanca-Valle de Santiago km 3.5 + 1.8, Salamanca 36885, Mexico
2
Centro Nacional de Investigación Disciplinaria Agricultura Familiar (CENID AF), Instituto Nacional de Investigaciones Forestales, Agrícolas y Pecuarias (INIFAP), Carretera Lagos de Moreno-Jalisco km 8.5, Ojuelos de Jalisco 47540, Mexico
3
Coordinación de Posgrado, División de Ciencias Económico Administrativas, Universidad Autónoma Chapingo, Carretera México–Texcoco km 38.5, Texcoco 56230, Mexico
4
Departamento de Estudios Sociales, División de Ciencias Sociales y Administrativas, Universidad de Guanajuato. Av. Ing. Javier Barros Sierra No. 201, Ejido Santa María del Refugio, Celaya 38110, Mexico
5
Unidad Regional Universitaria de Zonas Áridas, Universidad Autónoma Chapingo, Carretera Gómez Palacio–Chihuahua km 40, Bermejillo, Durango 35230, Mexico
6
Unidad Académica de Medicina Veterinaria y Zootecnia, Universidad Autónoma de Zacatecas, Carretera Panamericana Zacatecas-Fresnillo km 31.5, Enrique Estrada 98500, Mexico
7
Facultad de Medicina Veterinaria y Zootecnia, Universidad Autónoma del Estado de Mexico, El Cerrillo Piedras Blancas, Toluca 50295, Mexico
*
Author to whom correspondence should be addressed.
Agronomy 2021, 11(7), 1354; https://doi.org/10.3390/agronomy11071354
Submission received: 28 April 2021 / Revised: 22 June 2021 / Accepted: 29 June 2021 / Published: 1 July 2021
(This article belongs to the Section Grassland and Pasture Science)

Abstract

:
Utilization of maize stover to the production of meat and milk and saving the grains for human consumption would be one strategy for the optimal usage of resources. Variance and tendency analyses were applied to find the optimal nitrogen (N) fertilization dose (0, 100, 145, 190, 240, and 290 kg/ha) for forage (F), stover (S), cob (C), and grain (G) yields, as well as the optimal grain-to-forage, cob-to-forage, and cob-to-stover ratios (G:F, C:F, and C:S, respectively). The study was performed in central Mexico (20.691389° N and −101.259722° W, 1740 m a.m.s.l.; Cwa (Köppen), 699 mm annual precipitation; alluvial soils). N-190 and N-240 improved the individual yields and ratios the most. Linear and quadratic models for CDM, GDM, and G:F ratio had coefficients of determination (R2) of 0.20–0.46 (p < 0.03). Cubic showed R2 = 0.30–0.72 (p < 0.02), and the best models were for CDM, GDM, and the G:F, C:F, and C:S DM ratios (R2 = 0.60–0.72; p < 0.0002). Neither SHB nor SDM negatively correlated with CDM or GDM (r = 0.23–0.48; p < 0.0001). Excess of N had negative effects on forage, stover, cobs, and grains yields, but optimal N fertilization increased the proportion of the G:F, C:F, and C:S ratios, as well as the SHB and SDM yields, without negative effects on grain production.

1. Introduction

Due to climate change, caused by the release of greenhouse gases (GHG), in part caused by crops and livestock [1,2,3], the increment in temperatures and changes in precipitation patterns might reduce the potential yields and nutrient availability of crops and grasslands [4,5]. Furthermore, increasing demand for land and a reduction in the amount and quality of spaces to produce grains for humans and forage for livestock are factors threatening food security [6].
The efficiency of agricultural and livestock production plays an important role in social and economic development. According to the FAO [7], maize is one of the world’s most widely cultivated crop, and one of the most important crops for world food security, used to feed humans and livestock.
Utilization of maize stover in the production of meat and milk and saving the grains for human consumption would be one strategy for the optimal usage of resources [8]. Increasing the grain and stover individual yields and quality, and on the other side, the improvement of the starch:cell wall (neutral detergent fiber (NDF)) ratio of whole maize plants would be an alternative to use higher amounts of forage in ruminant diets [9,10].
N deficiencies reduce the leaf area and the radiation interception, primarily decreasing the photosynthetic rate per unit area, affecting the final grain composition and yield [11]. N fertilization can improve the yield and composition of maize grains and stalks [8,12,13], such as the total crude protein (CP) proportion in grains to feed humans, but is also inversely related to the NDFs [8,14], which might have a positive effect on the degradability and CP availability of forages, and therefore on milk and meat production [10,15,16,17,18]. An increase in CP might not be negatively related to the grain and forage yields [19,20].
However, excessive application of N fertilizer has negative effects on crops, greatly reduces N-use efficiency, and causes significant nitrate leaching losses [11], contributing to GHG since it is the major source of nitrous oxide (N2O) [3]. Therefore, N must be applied at rates that satisfy both economic and environmental objectives and is critical for sustainable agriculture [21].
Optimal fertilization is when the maximum yield: average N fertilization ratio is reached (maximum yield conversion). The forage and grain yield increments show two different economical processes: at first, the average yield reach a maximum when a linear trend is observed from the origin to inflection point, after the tangent represents a reduction in the yield: N fertilization ratio [22]. Tendency models are useful to describe dose–response phenomena; in biological processes, quadratic and cubic models can find the inflection points of optimal values and discriminate between the sub or over doses [10,18].
The present study had the objective of testing the effects of different N fertilization doses on maize’s forage, stover, cob, and grain HB and DM yields, and the proportions of the C:F, C:S, and G:F ratios, analyzing the relationships between those variables. Aside from this, we obtained linear, quadratic, and cubic models to find the optimal N doses to reach the maximum grain and stover productions, and the best C:F, C:S, and G:F ratios.

2. Materials and Methods

2.1. The Study Area

The experiment was performed in a zone in North-Central Mexico (20.691389° N and −101.259722° W; 1740 m above sea level), where the weather has been classified as monsoon-influenced humid subtropical (Cwa; Köppen classification), and the soil as primarily alluvial (48.1%) (vertisol (71.6%), phaeozem (11.2%), and cambisol (4.9%)). The average temperature and precipitation were 19.9 °C and 699 mm (rain mainly occurs during the summer).

2.2. Biological Material

The N fertilization doses were evaluated in an intermediate/early corn hybrid A-7573 (Asgrow® (Semillas y Agroproductos Monsanto, S.A. de C.V., Mexico)), which could produce white and yellow grains. The hybrid A-7573 is bred from a triple cross of lines adapted to spring and summer environmental conditions; the optimal crop density averages from 80,000 to 110,000 plants/ha, with minimal corn lodging.

2.3. Treatments and Crop Management

Crops were evaluated two times (15 May and 1 July) in three consecutive years (2018 to 2020) in two parcels located in the same region. Each treatment was randomly assigned to plots (30 × 16 m) nested into blocks (32 × 68 m) located in the parcel (128 × 84 m; 0.82 ha), considering the variability in topography, hydrology (the flow of water), and the sun’s direction, divided by irrigation canals. The distance between rows was 50 cm, and the space among plants was 20 cm; the final crop density was 83,932 plants/h. A traditional soil management system was used (manual and minimum tillage). The scrubs were manually eliminated after being sowed.
Table 1 shows the evaluated N fertilization doses (treatments). Doses of 0, 2.50, 3.75, 5, 6.25, and 7.50 g of urea/plant were individually weighed and manually added in the base of each plant 5 cm beneath the soil, according to Wang and Xing [20,23] and Wang et al. [24], respectively. Half of the urea doses were applied on cultures at sowing time (0 d), and the rest 35 d after. Crops were not fertilized with phosphorous nor potassium (P, K).

2.4. Evaluated Variables

Time to masculine and feminine inflorescences (tassel and ears) was registered from the sowing time to the moment when 50% of plants had pollen; 117 d after sowing (when grains showed ½ of the milk line) [25], 10 plants per block were randomly selected and harvested. The number of cobs per plant were counted (C/plant).
Whole plants (forage (F)) were sectioned into stalks and leaves (stover (S)), cobs (C), and grain (G) and weighed, and then the plants’ parts were collocated into a forced-air oven (Felisa®, FE-292 AD, Mexico) at 65 °C until reaching a constant weight (dry matter (DM)).
Data of the weights of the forage, stover, cobs, and grain in humid base (HB) (FHB, SHB, CHB, and GHB, respectively), and after being dried (DM) (FDM, SDM, CDM, and GDM, respectively) were included in the data bases. In addition, the grain-to-forage, cob-to-forage, and cob-to-stover ratios (G:F, C:F, and C:S ratios, respectively) were calculated for further analysis.

2.5. Statistical Analysis

2.5.1. Experimental Design and Variance Analysis (ANOVA)

The experiment was established in two parcels and carried out at different times (two times in three consecutive years (runs)) where treatments were randomly assigned using a block design (4 blocks per treatment). In addition, 10 sites (sub-runs) were randomly sampled into each block. Statistical analysis was performed using ANOVA, considering the fixed effects of the N doses and the random effects of runs nested into the parcels, and sub-runs nested into the blocks, including the initial weight of the complete plants and cobs (PW and CW) as covariates, according Models 1 and 2.
Statistical analysis was performed using the SAS software [26], and the determination and variation coefficients (R2 and VC) were obtained using a lineal general modeling procedure (Proc GLM), and the statistical significances of the fixed and random effects were obtained using a mixed procedure (Proc Mixed).
Model 1
Y = µ + Run(Parcel)ij + Tratk + β(x−x1) + εijk
where Y = C/Plant, FHB, SHB, CHB, GHB, FDM, CDM, GDM, C:F ratio, C:S ratio, and G:F ratio; Run(Parcel)Ij = the random effect of the ith run nested into the jth parcel; Tratk = the fixed effect of the kth N dose of fertilization; β(x−x1) = covariates (PW and CW); and εijk= random error.
Model 2
Y = µ + Sub-run(Block)ij + Tratk + β(x−x1) + εij
where Y = C/Plant, FHB, SHB, CHB, GHB, FDM, CDM, GDM, C:F ratio, C:S ratio, and G:F ratio; Sub-run(Block)ij = the random effect of the ith sub-run nested into the jth block; Tratk = the fixed effect of the kth N dose of fertilization; β(x−x1) = covariates (PW and CW); and εijk = random error.

2.5.2. Means Comparison

Adjusted means were obtained with the LsMeans instruction, and the least significant difference (LSD) was calculated using the standard errors (SE) obtained with the instruction/pdiff.

2.5.3. Pearson’s Correlation, Trend Analysis, and Regression Models

Individual simple correlations (r) between variables were tested using Proc Corr [26]. Linear, quadratic, and cubic effects were assayed through orthogonal polynomial tests using the statistical software Paquete de la Universidad de Nuevo León [27]. The parameters for the linear, quadratic, and cubic functions were obtained using Proc Reg and Proc NLin [26].

2.5.4. Selection and Validity of the Models of the Categorical and Continuous Variables

In addition to the probability values (p-values (Fischer and T-student)) and R2, Bayesian (BIC) and Akaike (AIC) criteria were used to select and validate the models.

3. Results

The crop was harvested when the forage and grains’ DM were 22.48 ± 2.5 g/100 g and 40.88 ± 8.16 g/100 g.

3.1. Inflorescences and Humid Base Yields

Table 2 shows the masculine and feminine inflorescences, and the ANOVA did not show differences among the N doses (p > 0.44); however, those variables showed quadratic and cubic trends with N fertilization (p < 0.0001).
Treatments N-190 had the latest masculine and feminine inflorescences (65.50 vs. 64.50, and 66.75 vs. 65.50 d, control vs. N-190).
There were no differences among the N doses for C/plant and CHB (Table 3; p > 0.26), but both variables showed cubic trends, with the maximum values with N-100 (1.04 vs. 1.07, control vs. N-100) and N-240 (31.46 vs. 30.78 t/ha, control vs. N-240) (p < 0.0001).
GHB was linearly improved with N fertilization but the best yield was obtained with N-190 (22.51 vs. 24.01 t/ha, control vs. N.190) (p < 0.01). The best production of FHB and SHB was reached with N-145 (81.55 vs. 84.31, and 112.28 vs. 115.47 t/ha, control vs. N-145) (p < 0.0001), showing quadratic and cubic trends (p < 0.0001).
The ratios C:F and C:S were affected by N fertilization, and were improved when doses over 190 kg/ha were applied to the crops (0.28 vs. 0.29, and 0.30 vs. 0.40, control vs. N-240) (p < 0.01); the G:F ratio also showed quadratic and cubic effects, suggesting an inflection point at N-190 (0.20 vs. 22, control vs. N-190) (p < 0.05).

3.2. Dry Matter Yields

The DM yields of forage, stover, cobs, and grain were affected by N dose (p < 0.01; Table 4). FDM and SDM had the best yields when N-240 was used in crops (30.65 vs. 32.17, and 18.51 vs. 19.68 t/ha, control vs. N-240), and CDM and GDM when N-190 was added (12.31 vs. 13.12, and 9 vs. 10.26 t/ha, control vs. N-190); in addition, N fertilization affected the ratios C:F, G:F, and C:S, which had the best means when N-190 was added (0.40 vs. 0.44, 0.30 vs. 0.35, and 0.68 vs. 0.81, control vs. N-190, respectively) (p < 0.003). All DM yields and ratios showed quadratic and cubic trends (p < 0.0001).

3.3. Linear, Quadratic, and Cubic Models

The R2 coefficients were higher in the cubic models than in the linear and quadratic models (Table 5). There were significant linear models for the FHB, GHB, SHB, CDM, GDM, and G:F HB and DM ratios (p < 0.01), whose R2 varied from 0.17 to 0.38. Quadratic models of FHB, CDM, GDM, SDM, G:F (HB and DM), C:S HB, and C:F HB showed R2 values from 0.23 to 0.46 (p < 0.03). Except for C/Plant, SHB, and GHB, the cubic models for the rest of variables were significant (p < 0.02), with R2 values from 0.30 to 0.72; however, the highest R2 models were observed for CDM, GDM, and the G:F, C:F, and C:S DM ratios, whose R2 values varied from 0.60 to 0.72 (p < 0.0002).

3.4. Pearson’s Correlations

Table 6 shows the individual Pearson’s correlations between the evaluated variables. Almost all correlations were significant (p < 0.01). All the variables evaluated in HB highly correlated with the DM yields (r > 0.74); similarly, C:F HB, G:F HB, and C:S HB correlated with the C:F, G:F, C:S DM ratios (r > 0.60). However, FHB highly correlated with the CDM and GDM yields (r > 0.57). Neither SHB nor SDM negatively correlated with cobs or grain DM yields (r varied from 0.23 to 0.48).

4. Discussion

World food security depends on reaching crop and livestock-feeding efficiency. Improving the forage yield and quality is an alternative to reduce the costs of livestock feedstuffs’ environmental and economic costs [1,2,15,16,17].
In Mexico, maize has been a crop for 7000 years. The International Maize and Wheat Improvement Center (CIMMYT) is a Mexican government program [28], focused on preserving seeds and obtaining new varieties primarily adapted to drought and warming to increase the grain and forage yields. Genetic improvement and crop management programs try to balance the production with maize nutritional quality, all related to the total and grain yield and composition, the thickness of the stalks, growing capability, the number of leaves, and the chemical composition and digestibility of the plants [29,30,31,32,33].
In the present study, an Asgrow® (Semillas y Agroproductos Monsanto, S.A. de C.V., Mexico) hybrid was used to test different N fertilization doses. AS-757 is widely commercialized in many countries of America primarily for grain production, although it is also widely used for silage elaboration to feed livestock [34]. In the present study, masculine and feminine inflorescences occurred 64.5 and 65.5 d after sowing, corroborating data reported by Sánchez et al. [35] and Peña et al. [31,36] (63.96 to 64.3 d, and 64.3 to 68.3 d), who evaluated the hybrid at the same crop density.
Inflorescence is affected by crop density, but N fertilization can reduce the negative effects of early inflorescences on grain yield [37]; however, in the present work the inflorescences did not vary across N dose. Nonetheless, orthogonal polynomial analysis detected cubic trends, and N-190 was the optimal dose to delay the inflorescence time.
Almost all yields and C:S, G:F, and C:F ratios evaluated were positively affected when were fertilized with 190 to 240 kg N/ha; furthermore, almost all cubic models of those variables had high R2 coefficients and were significant, showing that excess N negatively affected all yields and plant proportions, and negatively contribute to GHG emissions through N2O releasing [3].
N availability affects the foliar area index, and therefore the solar light caption [13,23]. Su et al. [11], using 0, 150, 225, and 300 kg/ha of N, found that grain yield decreased from 3 to 21.9% with an N reduction because of the lower radiation-use efficiency; in turn, the leaf area index increases with the optimal N dose, and thus plant height and weight also improve with the grain yields [13,38].
Optimal N doses from 120 to 360 kg/ha had previously been reported [8,13,19]. In the present study, the individual N application underneath soil might reduce the N optimal dose [24]. However, other factors must be considered to determine the optimal N-dose, such as the variability in soil, topography, hydrology [21], soil humidity [38,39,40], irrigation [23,24,41], and maize genotype [42].
The C:S, G:F, and C:F ratios are affected by N availability [38], and these ratios’ changes might affect the starch, CP, NDF, and digestibility of the whole plant [36,43].
In maize forage, the starch:NDF ratio also affects the DMI, milk production (R2 = 0.60) [9], and fat milk quality [44]; in addition, the NDF and the starch content of ruminant diets depend on the forage-to-grain ratio, which affect the long-chain unsaturated fatty acid profile at the rumen level, and thereby the milk and meat yields and quality [10,18,45].
Correlation analysis of the present work did suggest that optimal N fertilization can improve both grain and stover yields to assume the double purpose of increasing the grain and stover yields to feed humans and ruminants, or on the other hand, to improve the nutritional quality of forage. According to Khan et al. [12], the correct N fertilization level increased the number of seeds per cob and the plant height, improving the grain and stover yields [8,13,38]. Besides this, an inverse relation between NDF and CP is not only due to the C:S, G:F, and C:F ratios [46,47]. Ming et al. [8] analyzed the composition of the maize stalks, finding that adding N of 225 kg/ha improved the CP contents by 12–44%, and reduced the NDF and acid detergent fiber (ADF) by 5.44–10.1% and 12.04–22.03% (depending the high of the stalks and the N dose).

5. Conclusions

Tendency models allowed to obtain the inflection points among the N fertilization doses and maximum cob and grain yields. The cubic and quadratic models of CDM, GDM, and the G:F, C:F, and C:S DM had the best R2 values (0.60–0.72; p < 0.0002). Although any forage or stover tendency model showed a high R2, no negative Pearson’s correlation was found between SHB and SDM, and CDM and GDM yields (r = 0.23–0.48), suggesting that optimal N fertilization can improve both grain and stover yields. N-190 was the optimal N dose to reach the maximum cob and grain yields, and the best G:F HB, C:S HB, C:F DM, G:F DM, and C:S DM ratios. Tendency modeling might be useful to avoid overdose fertilization, having the double purpose of increasing the grain and stover yields to feed humans and ruminants, or on the other hand, to improve the nutritional quality of forage.

Author Contributions

Conceptualized, designed, and directed by S.E.M.-C. and D.N.T.-G.; although all authors were actively involved in the data collection, analysis, and discussion process, S.O.-C., M.A.L.-S., J.M.V.-C., and C.A.M.-F. were responsible of the methodology and performance; S.E.M.-C., project administration; M.P.-V., supervision; D.N.T.-G. and S.E.M.-C., statistical formal analysis of the results, visualization, and wrote the draft paper; A.Z.M.S., reviewed and edited the final version. All authors have read and agreed to the published version of the manuscript.

Funding

This research was funded by PRODEP and Universidad de Guanajuato.

Institutional Review Board Statement

Not applicable.

Informed Consent Statement

Not applicable.

Data Availability Statement

Data bases are not electronically available; however, data bases and software algorithms can be proportioned by Sergio E. Medina Cuéllar and Deli N. Tirado-González ([email protected]; [email protected]).

Acknowledgments

Thank to Universidad Autónoma Chapingo for the technical support.

Conflicts of Interest

Authors declare no conflict of interest. Financial funding sources had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, or in the decision to publish the results.

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Table 1. Nitrogen doses of fertilization added per hectare and per plant.
Table 1. Nitrogen doses of fertilization added per hectare and per plant.
N-DosesN (kg/ha)Urea (kg/ha)Urea (g)/Plant
Control000
N-100972102.50
N-1451453153.75
N-1901934205.00
N-2402415256.25
N-2902906307.50
N-Dose, nitrogen doses: Control (0), 100, 145, 190, 240, and 290 kg/ha.
Table 2. Days to reach masculine and feminine inflorescences.
Table 2. Days to reach masculine and feminine inflorescences.
N-DosesMasculine
Inflorescences (d)
Feminine
Inflorescences (d)
Control64.5065.50
N-10064.5066.00
N-14563.7564.50
N-19065.5066.75
N-24063.7564.50
N-29064.5065.75
R20.670.71
VC (%)1.993.85
p-value
N-Dose0.4370.783
Trends
Lineal0.841<0.0001
Quadratic<0.0001<0.0001
Cubic<0.0001<0.0001
N-dose, nitrogen fertilization: Control (0), 100, 145, 190, 240, and 290 kg/ha; R2, coefficient of determination; VC, variation coefficient.
Table 3. Whole plant, cobs, and grain humid base (HB) yields (t/ha).
Table 3. Whole plant, cobs, and grain humid base (HB) yields (t/ha).
N-DosesC/PlantSHBFHBCHBGHBC:F ratioG:F RatioC:S Ratio
Control1.0481.55ab112.28b30.7822.51ab0.28ab0.20cd0.39ab
N-1001.0779.37cd111.66e29.8822.43ab0.27ab0.20bcd0.37ab
N-1451.0184.31a115.47a29.4621.61b0.27b0.19d0.36b
N-1901.0481.29bc111.08c30.7824.01a0.28ab0.22a0.39ab
N-2401.0380.52c109.3d31.4623.45a0.29a0.21abc0.40a
N-2901.0077.45d108.13f31.1123.79a0.29a0.21abc0.40a
R20.450.960.990.640.630.370.420.35
VC (%)14.143.9510.6510.9911.749.9310.713.93
p-value
N-Doses0.59<0.0001<0.00010.261<0.00010.010.0020.01
LSD (0.05) =0.112.011.982.010.860.0170.0140.033
Trends
Lineal<0.00010.550.695<0.00010.0120.013<0.0001<0.0001
Quadratic0.535<0.0001<0.0001<0.00010.6090.2440.050.384
Cubic<0.0001<0.0001<0.0001<0.00010.1890.550.030.421
Different letters represent significantly different means; N-doses, nitrogen fertilization: Control (0), 100, 145, 190, 240, and 290 kg/ha; HB, humid base; C/Plant, cobs per plant; SHB, stover yield; FHB, forage yield; CHB, cob yields; GHB, grain yields; C:F, cobs-to-forage; G:F, grain-to-forage; C:S, cobs-to-stover; R2, coefficient of determination; VC, variation coefficient; LSD, least significant difference.
Table 4. Whole plant, cobs, and grain dry matter (DM) yields (t/ha).
Table 4. Whole plant, cobs, and grain dry matter (DM) yields (t/ha).
N-DosesFDMSDMCDMGDMC:F RatioG:F RatioC:S Ratio
Control30.65b18.51ab12.31b9.00c0.40bc0.30b0.68bc
N-10031.04b18.85ab12.69ab9.56b0.40bc0.30b0.68bc
N-14530.24b18.78ab12.13b8.90c0.38c0.29b0.63c
N-19029.78b16.76c13.12a10.26a0.44a0.35a0.81a
N-24032.17a19.68a12.33b9.17bc0.39bc0.29b0.66bc
N-29029.86b17.54bc12.30b9.40bc0.42ab0.33ab0.74ab
R20.760.620.770.70.30.290.29
VC (%)8.8314.0310.5612.9512.7614.520.91
p-value
N-Doses0.0050.0010.010.0010.0060.00010.003
LSD (0.05) =1.421.360.70.650.310.030.09
Trends
Lineal0.589<0.00010.6770.0960.580.320.04
Quadratic<0.0001<0.0001<0.0001<0.0001<0.0001<0.0001<0.0001
Cubic<0.0001<0.0001<0.0001<0.0001<0.0001<0.0001<0.0001
Different letters are significant different means; N-doses, nitrogen fertilization: Control (0), 100, 145, 190, 240, and 290 kg/ha; DM, dry matter; SDM, stover yield; FMD, forage yield; CDM, cob yields; GDM, grain yields; C:F, cobs-to-forage; G:F, grain-to-forage; C:S, cobs-to-stover; R2, coefficient of determination; VC, variation coefficient; LSD, least significant difference.
Table 5. Linear, quadratic, and cubic models for forage, stover, cob, and grains humid base (HB) and dry matter (DM) yields.
Table 5. Linear, quadratic, and cubic models for forage, stover, cob, and grains humid base (HB) and dry matter (DM) yields.
Variable (Yi)Trendp-ValueR2
Linear: Yi = β0 + β1Xi + εi
β0β1
C/plant1.13−0.0006 0.090.10
FHB113.47−0.012 0.0040.26
CHB30.480.001 0.030.17
GHB22.380.004 0.740.05
SHB82.99−0.013 0.0040.26
G:F ratio HB0.1970.00007 0.050.20
C:S ratio HB0.370.0001 0.070.11
C:F ratio HB0.270.00005 0.070.12
CDM12.420.0007 0.00030.38
GDM9.130.002 0.0070.24
SDM18.99−0.004 0.350.03
G:F ratio DM0.290.0001 0.010.22
C:F ratio DM0.40.00006 0.090.10
C:S ratio DM0.670.0002 0.080.11
Quadratic: Yi = β0 + β1Xi + β2Xi2 + εi
β0β1β2
C/plant1.19−0.0020.000005 0.090.16
FHB112.70.0070.00006 0.0060.31
CHB30.87−0.0080.00003 0.070.18
GHB22.57−0.00080.00002 0.940.05
SHB81.860.015−0.0001 0.0030.35
G:F ratio HB0.2−0.000050.0000004 0.00030.46
C:S ratio HB0.38−0.00020.000001 0.0010.39
C:F ratio HB0.28−0.00010.0000005 0.0010.40
CDM12.390.001−0.000002 0.0010.39
GDM9.050.004−0.000006 0.030.24
SDM18.760.002−0.00002 0.010.28
G:F ratio DM0.290.000070.0000001 0.030.23
C:F ratio DM0.4−0.000040.0000003 0.170.12
C:S ratio DM0.670.00090.0000004 0.180.12
Cubic: Y = β0 + β1Xi + β2Xi2 + β3Xi3 + εi
β0β1β2β3
C/plant1.2−0.0040.00002−0.000000030.170.17
FHB113.6−0.1210.001−0.0000030.020.31
CHB31−0.0620.0006−0.0000010.890.02
GHB22.86−0.420.0004−0.00000090.890.03
SHB82.38−0.060.0006−0.0000020.0090.35
G:F ratio HB0.2−0.00020.000002−0.0000000030.020.44
C:S ratio HB0.38−0.00050.000004−0.0000000060.0030.42
C:F ratio HB0.28−0.00030.000002−0.0000000040.0030.41
CDM12.58−0.0250.0003−0.00000060.00010.60
GDM9.2−0.0170.0002−0.00000050.00010.61
SDM18.9−0.0180.0002−0.00000040.030.30
G:F ratio DM0.29−0.000050.000001−0.0000000030.00010.72
C:F ratio DM0.4−0.00030.000002−0.0000000050.00020.64
C:S ratio DM0.29−0.000050.000001−0.0000000030.00020.63
HM, humid base; DM, dry matter; C/plant; cob per plant; FHB, forage yield in HB; SHB, stover yield in DM; CHB, cob yield in HB; GHB, grain yield in HB; CDM, cob yield in DM; GDM, grain yield in DM; SDM, stover yield in DM; F; C:F, cobs-to-forage; G:F, grain-to-forage; C:S, cobs-to-stover; p-value, probability values; R2, coefficient of determination.
Table 6. Pearson’s correlations between the yield variables evaluated in the humid base (HB) and dry matter (DM).
Table 6. Pearson’s correlations between the yield variables evaluated in the humid base (HB) and dry matter (DM).
CHBKHBSHBK:F
HB
C:S
HB
C:F
HB
CDMKDMSDMK:F
DM
C:S
DM
C:F
DM
FHB0.74 ***0.70 ***0.98 ***−0.41 ***−0.41 ***−0.42 ***0.62 ***0.57 ***0.72 ***−0.14−0.17−0.14
CHB 0.96 ***0.58 ***0.24 **0.29 ***0.28 **0.84 ***0.80 ***0.40 ***0.27 **0.30 **0.35 **
KHB 0.54 ***0.35 ***0.31 **0.30 **0.84 ***0.86 ***0.33 **0.41 ***0.37 ***0.37 ***
SHB −0.58 ***−0.59 ***−0.61 ***0.48 ***0.44 ***0.74 ***−0.26 **−0.30 **−0.27 **
Ratios:
K:F HB 0.93 ***0.93 ***0.25 **0.34 **−0.52 **0.70 ***0.69 ***0.66 ***
C:S HB 0.99 ***0.26 **0.27 **−0.50 ***0.60 ***0.67 ***0.65 ***
C:F HB 0.26 **0.26 **−0.50 ***0.59 ***0.66 ***0.64 ***
CDM 0.97 ***0.29 **0.51 ***0.53 ***0.55 ***
KDM 0.23 *0.61 ***0.58 ***0.58 ***
SDM −0.61 ***−0.62 ***−0.63 ***
Ratios:
K:F DM 0.96 ***0.96 ***
C:S DM 0.99 ***
*, **, or *** represent p-values < 0.05, <0.01, and <0.0001, respectively; HM, humid base; DM, dry matter; C/plant; cob per plant; FHB, forage (whole plant) yield in HB; SHB, stover (stalks and leaves) yield in DM; CHB, cob yield in HB; GHB, grain yield in HB; CDM, cob yield in DM; GDM, grain yield in DM; SDM, stover (stalks and leaves) yield in DM; F; C:F, cobs-to-forage ratio; G:F, grain-to-forage ratio; C:S, cobs-to-stover ratio.
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Medina-Cuéllar, S.E.; Tirado-González, D.N.; Portillo-Vázquez, M.; Orozco-Cirilo, S.; López-Santiago, M.A.; Vargas-Canales, J.M.; Medina-Flores, C.A.; Salem, A.Z.M. Optimal Nitrogen Fertilization to Reach the Maximum Grain and Stover Yields of Maize (Zea mays L.): Tendency Modeling. Agronomy 2021, 11, 1354. https://doi.org/10.3390/agronomy11071354

AMA Style

Medina-Cuéllar SE, Tirado-González DN, Portillo-Vázquez M, Orozco-Cirilo S, López-Santiago MA, Vargas-Canales JM, Medina-Flores CA, Salem AZM. Optimal Nitrogen Fertilization to Reach the Maximum Grain and Stover Yields of Maize (Zea mays L.): Tendency Modeling. Agronomy. 2021; 11(7):1354. https://doi.org/10.3390/agronomy11071354

Chicago/Turabian Style

Medina-Cuéllar, Sergio E., Deli N. Tirado-González, Marcos Portillo-Vázquez, Sergio Orozco-Cirilo, Marco A. López-Santiago, Juan M. Vargas-Canales, Carlos A. Medina-Flores, and Abdelfattah Z. M. Salem. 2021. "Optimal Nitrogen Fertilization to Reach the Maximum Grain and Stover Yields of Maize (Zea mays L.): Tendency Modeling" Agronomy 11, no. 7: 1354. https://doi.org/10.3390/agronomy11071354

APA Style

Medina-Cuéllar, S. E., Tirado-González, D. N., Portillo-Vázquez, M., Orozco-Cirilo, S., López-Santiago, M. A., Vargas-Canales, J. M., Medina-Flores, C. A., & Salem, A. Z. M. (2021). Optimal Nitrogen Fertilization to Reach the Maximum Grain and Stover Yields of Maize (Zea mays L.): Tendency Modeling. Agronomy, 11(7), 1354. https://doi.org/10.3390/agronomy11071354

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