Skip to main content

Advertisement

Log in

An integrated model to optimize planting density and sufficient irrigation depth for increasing hybrid maize seeds yield

  • Original Paper
  • Published:
Irrigation Science Aims and scope Submit manuscript

Abstract

Optimizing planting density and irrigation depth of hybrid maize seed production is important for ensuring food and water security. A higher planting density increases grain yield to a certain level, but decreases seed vigor. Therefore, the aim of this study was to establish an integrated model that optimized planting density and sufficient border irrigation depth to increase yield, ensure the vigor, and save water for hybrid maize seed production in an arid region. The integrated model was based on the modified AquaCrop and single crop coefficient models to predict grain yield and evapotranspiration, respectively. Kernel weight was estimated by grain yield and kernel number, and a monomolecular model was used to fit kernel number per plant and plant growth rate during the flowering stage. An exponential relationship was found between kernel weight and seed vigor. The maximum grain yield and minimum irrigation depth were weighted in the objective function, and different scenarios of seed vigor were constrained. Integrated model parameters were calibrated and validated using data from experiments conducted during 2012 and 2015 and 2018 to 2019 in Gansu Province of Northwest China. The modeling results showed that although the highest grain yield of 685.1 g m–2 was obtained for the planting density of 12.47 plants m–2, seed vigor decreased by 20% (decreased kernel weight by 5.5%). Comparison with different scenarios, a planting density of 11.30 plants m–2 was recommended, which increased grain yield by 5.7%, and ensured seed vigor by 90% (decreased kernel weight by 2.7%). To ensure sufficient irrigation in the median water year, the optimal irrigation depths for this planting density at the vegetative, flowering, and grain filling stages were 79.8, 140.0, and 145.3 mm, respectively, which reduced total irrigation depth by 27.0%. The integrated model is a useful tool to decrease irrigation amounts and increase yield of hybrid maize seeds in the arid areas of Northwest China.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  • Ahuja LR, Rojas KW, Hanson JD, Shaffer MJ, Ma L (2000) Root zone water quality model: modeling management effects on water quality and crop production. Water Resources Publications LLC, Highland Ranch

    Google Scholar 

  • Allen RG, Pereira LS (2009) Estimating crop coefficients from fraction of ground cover and height. Irrig Sci 28:17–34

    Article  Google Scholar 

  • Allen RG, Pereira LS, Raes D, Smith M (1998) Crop evaporation: guidelines for computing crop water requirements, Irrigation and Drainage Paper No. 56. FAO, Rome

    Google Scholar 

  • Ambika S, Manonmani V, Somasundaram G (2014) Review on effect of seed size on seedling vigour and seed yield. Res J Seed Sci 7:31–38

    Article  Google Scholar 

  • Andrade FH, Vega C, Uhart S, Cirilo A, Cantarero M, Valentinuz O (1999) Kernel number determination in maize. Crop Sci 39:453–459

    Article  Google Scholar 

  • Arisnabarreta S, Solari F (2017) Hybrid maize seed production yield associations with inbred line performance in multienvironment trials. Crop Sci 57:3203–3216

    Article  Google Scholar 

  • Boomsma CR, Santini JB, Tollenaar M, Vyn TJ (2009) Maize morphophysiological responses to intense crowding and low nitrogen availability: an analysis and review. Agron J 101:1426–1452

    Article  CAS  Google Scholar 

  • Borrás L, Slafer GA, Otegui ME (2004) Seed dry weight response to source–sink manipulations in wheat, maize and soybean: a quantitative reappraisal. Field Crops Res 86:131–146

    Article  Google Scholar 

  • Cerrudo D, Hernández M, Tollenaar M, Vega CRC, Echarte L (2020) Kernel number response to plant density in tropical, temperate, and tropical × temperate maize hybrids. Crop Sci 60:381–390

    Article  CAS  Google Scholar 

  • Chen Z, Sun S, Zhu Z, Jiang H, Zhang X (2019) Assessing the effects of plant density and plastic film mulch on maize evaporation and transpiration using dual crop coefficient approach. Agric Water Manag 225:105765

    Article  Google Scholar 

  • Cirilo AG, Andrade FH (1994) Sowing date and maize productivity: II Kernel number determination. Crop Sci 34:1044–1046

    Article  Google Scholar 

  • Echarte L, Andrade FH, Vega CRC, Tollenaar M (2004) Kernel number determination in Argentinean maize hybrids released between 1965 and 1993. Crop Sci 44:1654–1661

    Article  Google Scholar 

  • FAO (Food and Agriculture Organization of the United Nations) (2020) World food and agricultural—statistical yearbook 2020. FAO, Rome

    Google Scholar 

  • Gambín BL, Borrás L, Otegui ME (2006) Source–sink relations and kernel weight differences in maize temperate hybrids. Field Crops Res 95:316–326

    Article  Google Scholar 

  • Gambín BL, Borrás L, Otegui ME (2008) Kernel weight dependence upon plant growth at different grain–filling stages in maize and sorghum. Aust J Agric Res 59:280–290

    Article  Google Scholar 

  • Ghassemi-Golezani K, Dalil B (2015) Effects of seed vigor on growth and grain yield of maize. Plant Breed Seed Sci 70:81–90

    Article  Google Scholar 

  • Guan YJ, Hu J, Wang ZF, Zhu SJ, Wang JC, Knapp A (2013) Time series regression analysis between changes in kernel size and seed vigor during developmental stage of sh2 sweet corn (Zea mays L.) seeds. Sci Hortic 154:25–30

    Article  Google Scholar 

  • Guo S, Wang J, Zhang F, Wang Y, Guo P (2018) An integrated water–saving and quality–guarantee uncertain programming approach for the optimal irrigation scheduling of seed maize in arid regions. Water 10:908

    Article  Google Scholar 

  • Heng LK, Hsiao T, Evett S, Howell T, Steduto P (2009) Validating the FAO AquaCrop model for irrigated and water deficient field maize. Agron J 101:488–498

    Article  Google Scholar 

  • Hernán RD, Gabriela AL, deVoil P, Daniel R, Ángel MG (2021) Exploring the effect of tillers on the water economy, plant growth and kernel set of low–density maize crops. Agric Water Manag 243:106424

    Article  Google Scholar 

  • Hsiao TC, Heng L, Steduto P, Rojas-Lara B, Raes D, Fereres E (2009) AquaCrop—the FAO crop model to simulate yield response to water: III. Parameterization and testing for maize. Agron J 101:448–459

    Article  Google Scholar 

  • ISTA (International Seed Testing Association) (2010) International rules for seed testing. ISTA, Bassersdorf

    Google Scholar 

  • Jiang X (2016) Characteristics of water consumption of female and male parents and evapotranspiration modeling of maize for seed production in an arid region of Northwest China. PhD Dissertation. Beijing, China: China Agricultural University. (In Chinese with English abstract)

  • Jiang X, Kang S, Tong L, Li F, Li D, Ding R, Qiu R (2014) Crop coefficient and evapotranspiration of grain maize modified by planting density in an arid region of northwest China. Agric Water Manag 142:135–143

    Article  Google Scholar 

  • Jiang X, Tong L, Kang S, Li F, Li D, Qin Y, Shi R, Li J (2018) Planting density affected biomass and grain yield of maize for seed production in an arid region of Northwest China. J Arid Land 10:292–303

    Article  Google Scholar 

  • Kareem I, Taiwo OS, Kareem SA, Oladosu Y, Eifediyi EK, Abdulmaliq SY, Alasinrin SY, Adekola OF, Olalekan KK (2020) Growth and yield of two maize varieties under the influence of plant density and NPK fertilization. J Appl Sci Environ Manag 24:531–536

    Google Scholar 

  • Kiniry JR, Williams JR, Vanderlip RL, Atwood JD, Reicosky DC, Mulliken J, Cox WJ, Mascagni HJ, Hollinger SE, Wiebold WJ (1997) Evaluation of two maize models for nine U.S. locations. Agron J 89:421–426

    Article  Google Scholar 

  • Lafta AK, Chilab YK (2019) Evaluation of the vigor and viability of maize (Zea mays L.) seeds which resultant from planting date and plant density on yield character. Plant Arch 19:1663–1671

    Google Scholar 

  • Li S, Kang S, Li F, Zhang L (2008) Evapotranspiration and crop coefficient of spring maize with plastic mulch using eddy covariance in northwest China. Agric Water Manag 95:1214–1222

    Article  Google Scholar 

  • Li Z, Liu K, Liu C, Zhang X, Liu X, Zhang H, Liu S, Wang Q, Li Q (2013) Aboveground dry matter and grain yield of summer maize under different varieties and densities in North China Plain. Maydica 58:189–194

    Google Scholar 

  • Liu F, Xiao X, Qin Y, Yan H, Huang J, Wu X, Zhang Y, Zou Z, Doughty RB (2022) Large spatial variation and stagnation of cropland gross primary production increases the challenges of sustainable grain production and food security in China. Sci Total Environ 811:151408

    Article  CAS  PubMed  Google Scholar 

  • Lu Y, Chibarabada TP, Ziliani MG, Onema JK, McCabe MF, Sheffield J (2021) Assimilation of soil moisture and canopy cover data improves maize simulation using an under–calibrated crop model. Agric Water Manag 252:106884

    Article  Google Scholar 

  • Luo N, Wang X, Hou J, Wang Y, Wang P, Meng Q (2020) Agronomic optimal plant density for yield improvement in the major maize regions of China. Crop Sci 60:1580–1590

    Article  Google Scholar 

  • Ma S, Tong L, Kang S, Wang S, Wu X, Cheng X, Li Q (2021) Optimal coupling combinations between dripper discharge and irrigation interval of maize for seed production under plastic film-mulched drip irrigation in an arid region. Irrig Sci 40:177–189

    Article  Google Scholar 

  • McCown RL, Hammer GL, Hargreaves JNG, Holzworth DP, Freebairn DM (1996) APSIM: a novel software system for model development, model testing and simulation in agricultural systems research. Agric Syst 50:255–271

    Article  Google Scholar 

  • Meneguzzo MRR, Carvalho IR, Dellagostin SM, Xavier FDM, Nadal AP, Gonçalves VP, Tunes CD, Conte GG, Meneghello GE, Villela FA (2020) Length of soybean and maize seedlings influenced by seed vigor and size. Revista De Ciências Agrárias 43:193–201

    Google Scholar 

  • Miya SP, Modi AT, Mabhaudhi T (2017) Interactive effects of simulated hail damage and plant density on maize seed quality. Seed Sci Technol 45:100–111

    Article  Google Scholar 

  • Mylonas I, Sinapidou E, Remountakis E, Sistanis I, Pankou C, Ninou E, Papadopoulos I, Papathanasiou F, Lithourgidis A, Gekas F, Dordas C, Tzantarmas C, Kargiotidou A, Tokamani M, Sandaltzopoulos R, Tokatlidis IS (2020) Improved plant yield efficiency alleviates the erratic optimum density in maize. Agron J 112:1690–1701

    Article  Google Scholar 

  • Nash JE, Sutclffe JV (1970) River flow forecasting through conceptual models part I—a discussion of principles. J Hydrol 10:282–290

    Article  Google Scholar 

  • Paredes P, de Melo-Abreu JP, Alves I, Pereira LS (2014) Assessing the performance of the FAO AquaCrop model to estimate maize yields and water use under full and deficit irrigation with focus on model parameterization. Agric Water Manag 144:81–97

    Article  Google Scholar 

  • Penning FWT, Jansen DM, Berge HFMT, Bakema A (1989) Simulation of ecophysiological processes of growth in several annual crops. Wageningen, Netherlands

    Google Scholar 

  • Qian C, Yu Y, Gong X, Jiang Y, Zhao Y, Yang Z, Hao Y, Li L, Song Z, Zhang W (2016) Response of grain yield to plant density and nitrogen rate in spring maize hybrids released from 1970 to 2010 in Northeast China. Crop J 4:459–467

    Article  Google Scholar 

  • Rahmani M, Zavareh M, Hamidi A, Hoogenboom G (2018) Effect of planting date and density on yield and commercial qualities of hybrid seed production of maize (Zea mays L. cv. SC 704). Iranian J Field Crop Sci 49:93–103 (In Persian with English abstract)

    Google Scholar 

  • Rahmati H (2009) Effect of plant density and nitrogen rates on yield and nitrogen efficiency of grain corn. World Appl Sci 7:958–961

    CAS  Google Scholar 

  • Ran H, Kang S, Hu X, Li F, Du T, Tong L, Li S, Ding R, Zhou Z, Parsons D (2019) Newly developed water productivity and harvest index models for maize in an arid region. Field Crops Res 234:73–86

    Article  Google Scholar 

  • Ranum P, Peña-Rosas JP, Garcia-Casal MN (2014) Global maize production, utilization, and consumption. Ann NY Acad Sci 1312:105–112

    Article  PubMed  Google Scholar 

  • Ritchie JT, Kiniry JR, Jones CA, Dyke PT (1986) CERES-Maize: a simulation model of maize growth and development. Texas A&M University Press, College Station

    Google Scholar 

  • Saddique Q, Cai H, Ishaque W, Chen H, Chau HW, Chattha MU, Hassan MU, Khan MI, He J (2019) Optimizing the sowing date and irrigation strategy to improve maize yield by using CERES (Crop Estimation through Resource and Environment Synthesis)–maize model. Agronomy 9:109

    Article  CAS  Google Scholar 

  • Saddique Q, Zou Y, Ajaz J, Ji J, Xu J, Azmat M, Rahman MHU, He J, Cai H (2020) Analyzing the performance and application of CERES–Wheat and APSIM in the Guanzhong plain, China. Trans ASABE 63:1879–1893

    Article  CAS  Google Scholar 

  • Sangoi L, Gracietti MA, Rampazzo C, Bianchetti P (2002) Response of Brazilian maize hybrids from different eras to changes in plant density. Field Crops Res 79:39–51

    Article  Google Scholar 

  • Santhi C, Arnold JG, Williams JR, Dugas WA, Srinivasan R, Hauck LM (2001) Validation of the SWAT model on a large river basin with point and nonpoint sources. J Am Water Resour Assoc 37:1169–1188

    Article  CAS  Google Scholar 

  • Severini AD, Borrás L, Westgate ME, Cirilo AG (2011) Kernel number and kernel weight determination in dent and popcorn maize. Field Crops Res 120:360–369

    Article  Google Scholar 

  • Shi R, Tong L, Du T, Shukla MK (2020) Response and modeling of hybrid maize seed vigor to water deficit at different growth stages. Water 12:3289

    Article  CAS  Google Scholar 

  • Shi R, Tong L, Ding R, Du T, Shukla MK (2021) Modeling kernel weight of hybrid maize seed production with different water regimes. Agric Water Manag 250:106851

    Article  Google Scholar 

  • Steduto P, Hsiao TC, Raes D, Fereres E (2009) AquaCrop–the FAO crop model to simulate yield response to water: I concepts and underlying principles. Agron J 101:426–437

    Article  Google Scholar 

  • Tabakovic M, Simic M, Stanisavljevic R, Milivojevic M, Secanski M, Postic D (2020) Effects of shape and size of hybrid maize seed on germination and vigour of different genotypes. Chil J Agric Res 80:381–392

    Article  Google Scholar 

  • Tekrony DM, Egli DB (1991) Relationship of seed vigor to crop yield: a review. Crop Sci 31:816–822

    Article  Google Scholar 

  • Testa G, Reyneri A, Blandino M (2016) Maize grain yield enhancement through high plant density cultivation with different inter–row and intra–row spacings. Eur J Agron 72:28–37

    Article  Google Scholar 

  • Tetio-Kagho F, Gardner FP (1988a) Responses of maize to plant population density. I. Canopy development, light relationships, and vegetative growth. Agron J 80:930–935

    Article  Google Scholar 

  • Tetio-Kagho F, Gardner FP (1988b) Responses of maize to plant population density. II. Reproductive development, yield, and yield adjustments. Agron J 80:935–940

    Article  Google Scholar 

  • Tokatlidis IS, Koutroubas SD (2004) A review of maize hybrids’ dependence on high plant populations and its implications for crop yield stability. Field Crops Res 88:103–114

    Article  Google Scholar 

  • Tollenaar M, Dwyer LM, Stewart DW (1992) Ear and kernel formation in maize hybrids representing three decades of grain yield improvement in Ontario. Crop Sci 32:432–438

    Article  Google Scholar 

  • Trachsel S, San Vicente FM, Suarez EA, Rodriguez CS, Atlin GN (2016) Effects of planting density and nitrogen fertilization level on grain yield and harvest index in seven modern tropical maize hybrids (Zea mays L.). J Agric Sci 154:689–704

    Article  Google Scholar 

  • Venkatesh TV, Breeze ML, Liu K, Harrigan GG, Culler AH (2014) Compositional analysis of grain and forage from MON 87427, an inducible male sterile and tissue selective glyphosate–tolerant maize product for hybrid seed production. J Agric Food Chem 62:1964–1973

    Article  CAS  PubMed  Google Scholar 

  • Wang J, Tong L, Kang S, Li F, Zhang X, Ding R, Du T, Li S (2017) Flowering characteristics and yield of maize inbreds grown for hybrid seed production under deficit irrigation. Crop Sci 57:2238–2250

    Article  Google Scholar 

  • Wang J, Kang S, Du T, Tong L, Ding R, Li S (2019) Estimating the upper and lower limits of kernel weight under different water regimes in hybrid maize seed production. Agric Water Manag 213:128–134

    Article  Google Scholar 

  • Wang J, Guo S, Kang S, Wang Y, Du T, Tong L (2020) Joint optimization of irrigation and planting pattern to guarantee seed quality, maximize yield, and save water in hybrid maize seed production. Eur J Agron 113:125970

    Article  Google Scholar 

  • Wei S, Wang X, Li G, Qin Y, Jiang D, Dong S (2019) Plant density and nitrogen supply affect the grain–filling parameters of maize kernels located in different ear positions. Front Plant Sci 10:180

    Article  PubMed  PubMed Central  Google Scholar 

  • Willmott CJ (1981) On the validation of models. Phys Geogr 2:184–194

    Article  Google Scholar 

  • Yan P, Chen Y, Sui P, Vogel A, Zhang X (2018) Effect of maize plant morphology on the formation of apical kernels at different sowing dates and under different plant densities. Field Crops Res 223:83–92

    Article  Google Scholar 

  • Zhai L, Xie R, Ming B, Li S, Ma D (2018) Evaluation and analysis of intraspecific competition in maize: a case study on plant density experiment. J Integr Agric 17:2235–2244

    Article  Google Scholar 

  • Zhang Q, Zhang L, Evers J, van der Werf W, Zhang W, Duan L (2014) Maize yield and quality in response to plant density and application of a novel plant growth regulator. Field Crops Res 164:82–89

    Article  Google Scholar 

  • Zhang M, Chen T, Latifmanesh H, Feng X, Cao T, Qian C, Deng A, Song Z, Zhang W (2018) How plant density affects maize spike differentiation, kernel set, and grain yield formation in Northeast China? J Integr Agric 17:1745–1757

    Article  Google Scholar 

  • Zhang Y, Wang R, Wang S, Ning F, Wang H, Wen P, Li A, Dong Z, Xu Z, Zhang Y, Li J (2019) Effect of planting density on deep soil water and maize yield on the Loess Plateau of China. Agric Water Manag 223:105655

    Article  Google Scholar 

Download references

Acknowledgements

This work was partially supported by the National Key R&D Program of China (No. 2016YFC0400207), the Research Projects of Agricultural Public Welfare Industry in China, China; (201503125), and the Discipline Innovative Engineering Plan, China (111 Program, B14002). Authors thank New Mexico State University Agricultural Experiment Station and Nakayama Professorship.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ling Tong.

Ethics declarations

Conflict of interest

On behalf of all authors, the corresponding author states that there is no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shi, R., Tong, L., Du, T. et al. An integrated model to optimize planting density and sufficient irrigation depth for increasing hybrid maize seeds yield. Irrig Sci 40, 909–923 (2022). https://doi.org/10.1007/s00271-022-00805-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00271-022-00805-y

Navigation