The DOI matches its Crossref record; 35 of the 35 references it cites were found in a registry or an index.
The Quantitative Relationships Between Plant Population And Crop Yield
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Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“The expected grain yield response to plant density in winter wheat (Triticum aestivum L.) follows a diminishing returns function.”
From A Bayesian framework to model variance of grain yield response to plant density (2025) · cites this paper as [48]
In the citing paper
“The mathematical equation of expected yield response to plant density can vary from quadratic [26, 30], quadratic-plateau [48], linear-plateau [4, 28] or exponential rise to maximum [27, 39, 48].”
From A Bayesian framework to model variance of grain yield response to plant density (2025) · cites this paper as [48]
Citations
Cites
A Flexible Growth Function for Empirical Use
Richards, F. (1959) · Journal of Experimental Botany · doi:10.1093/jxb/10.2.290 · Cited by 4,275
Competition Among Crop and Pasture Plants
Donald, C. (1963) · Advances in agronomy · doi:10.1016/s0065-2113(08)60397-1 · Cited by 710
Plant Population and Crop Yield
Holliday, R. (1960) · Nature · doi:10.1038/186022b0 · Cited by 285
Effect of Plant Population and Row Spacing on Soybean Development and Production1
Weber, C. R., Shibles, R. M., & Byth, D. E. (1966) · Agronomy Journal · doi:10.2134/agronj1966.00021962005800010034x · Cited by 200
Competition among wheat plants sown at a wide range of densities
Puckridge, D., & Donald, C. (1967) · Australian Journal of Agricultural Research · doi:10.1071/ar9670193 · Cited by 185
Plant Population and Crop Yield
Bleasdale, J. K. A., & Nelder, J. A. (1960) · Nature · doi:10.1038/188342a0 · Cited by 146
A Relationship between Individual Plant-spacing and Yield
Mead, R. (1966) · Annals of Botany · doi:10.1093/oxfordjournals.aob.a084076 · Cited by 120
Competition among pasture plants. I. Intraspecific competition among annual pasture plants
Donald, C. (1951) · Australian Journal of Agricultural Research · doi:10.1071/ar9510355 · Cited by 104
Lang, A. L., Pendleton, J. W., & Dungan, G. H. (1956) · Agronomy Journal · doi:10.2134/agronj1956.00021962004800070002x · Cited by 88
A Mathematical Model for the Estimation of Inter-Plant Competition
Mead, R. (1967) · Biometrics · doi:10.2307/2528155 · Cited by 85
Research works printed but not linked: 23
- Bruinsma, 1966, Neth. J. Agr. Sci., 14, 198
- Crawford, 1964, New Zealand J. Agr., 108, 455
- de Wit, 1959, Jaarb. Inst. Biol. Scheik. Onders. LandbGewass. Meded., 83, 129
- de Wit, 1960, Verslag. Landbouwk. Onderzoek., 66.8, 1
- de Wit, 1958, Jaarb. Inst. Biol. Scheik. Onderz. LandbGewass. Meded., 50, 59
- Dumanovic, 1962, Savremera Polio Priverda, 4, 240
- Farazdaghi, H. 1968. Ph.D. Thesis, Reading University, England.
- Goodall, 1960, Bull. Res. Council Israel, D8, 181
- Harvey, 1958, Exptl. Husbandry, 3, 31
- Holliday, 1960, Field Crop Abstr., 13, 159
- Hozumi, 1956, J. Inst. Polytech., Osaka City Univ., D7, 15
- Jones, 1968, Agr. Prog., 42, 32
- Kira, 1953, J. Inst. Polytech., Osaka City Univ., D4, 1
- Kira, 1954, J. Inst. Polytech., Osaka City Univ., D5, 1
- Kira, 1956, J. Inst. Polytech., Osaka City Univ., D7, 1
- Koyama, 1956, J. Inst. Polytech., Osaka City Univ., D7, 73
- Mitscherlich, 1919, Landwirtsch. Jahrb., 53, 341
- Montgomery, 1912, Nebraska Univ., Agr. Expt. Sta., Bull., 24
- Reestman, 1959, Neth. J. Agri. Sci., 7, 257
- Reynolds, 1950, Agriculture (London), 56, 527
- Saunt, J. 1960. M.Sc. Thesis, University of Leeds, England.
- Shinozaki, 1956, J. Inst. Polytech., Osaka City Univ., D7, 35
- Willey, R. W. 1965. Ph.D. Thesis, Leeds University, England.
Cited by
Sorted by citations
Items 301–310 of 310
Espaçamentos e manejo na produção de híbridos de melancia em duas épocas
Campos, A. M. D. (2014) · doi:10.14393/ufu.di.2014.479
Planting patterns and densities of intercropped corn-soybean for silage.
Putnam, D. H. (2023) · ScholarWorks@UMassAmherst (University of Massachusetts Amherst) · doi:10.7275/20482825
BSc, M. B., BSc, M. M., & BA, D. D. J. T. (1996) · Population Ecology · doi:10.1002/9781444313765.refs
Secretariat, C. (1992) · Commonwealth Secretariat eBooks · doi:10.14217/9781848594999-en
Spatial Crop Structure in Agricultural Systems
Satorre, E. H. (2012) · Springer eBooks · doi:10.1007/978-1-4419-0851-3_223
Şengül, Ö., Çelik, Ş., & Ak, İ. (2024) · Arquivo Brasileiro de Medicina Veterinária e Zootecnia · doi:10.1590/1678-4162-13109
Fiber Hemp Biomass Yield and Quality on Shallow Stony Soil in Southwest Germany
Greiner, B. E., Kunisch, J., Krauße, G., Thiel, T., Schwadorf, K., & von Cossel, M. (2025) · Land · doi:10.3390/land14040720
The response of seed size to plant population: a comparison of corn and soybean
Egli, D. B. (2025) · Journal of Crop Improvement · doi:10.1080/15427528.2025.2567681
Son, J., Min, B., Im, D., Jeon, S., & Lee, J. (2026) · Horticultural Science and Technology · doi:10.7235/hort.20260019
Metadata
- Authors
- Willey, R. W., & Heath, S. B.
- Affiliations
- University of Reading (GB)
- Venue
- Advances in Agronomy
- Publisher
- Elsevier
- Published
- 1969
- Pages
- 281-321
- ISSN
- 0065-2113 (ISSN-L)
- OpenAlex
- W1432766941
- Cited by
- 310
- References
- 35
- Citations by year
- 2026: 2 · 2025: 5 · 2024: 8 · 2023: 8 · 2022: 3 · 2021: 5 · 2020: 5 · 2019: 3 · 2018: 8 · 2017: 5 · 2016: 6 · 2015: 3 · 2014: 7 · 2013: 4 · 2012: 9
- FWCI
- 6.25
- Type
- book chapter
- Language
- en
- Open access
- closed
- Locations
- Advances in agronomy (publishedVersion)
- Topics
- Life Sciences › Agricultural and Biological Sciences › Agronomy and Crop Science › Crop Yield and Soil Fertility
- Life Sciences › Agricultural and Biological Sciences › Agronomy and Crop Science › Agriculture, Soil, Plant Science
- Life Sciences › Agricultural and Biological Sciences › Agronomy and Crop Science › Agronomic Practices and Intercropping Systems
- Keywords
- plant population, crop yield, plant density, yield-density relationship, competition (biology), mathematical model, reciprocal equations, yield prediction, crop density
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
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