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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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
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Cited by
Sorted by citations
Westoby, M. (1984) · Advances in ecological research/Advances in Ecological Research · doi:10.1016/s0065-2504(08)60171-3 · Cited by 691
The analysis of designed experiments and longitudinal data by using smoothing splines
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Weigelt, A., & Jolliffe, P. A. (2003) · Journal of Ecology · doi:10.1046/j.1365-2745.2003.00805.x · Cited by 535
“Efforts to develop these relationships began with Kira and his associates in the 1950s and early research was reviewed by Willey & Heath (1969). Papers by Wright (1981) and Spitters (1983) provide early examples of their use with species mixtures and explain the principles of how these relationships can be used to qua…”
BackgroundMethodLodging in Wheat, Barley, and Oats: The Phenomenon, its Causes, and Preventive Measures
Pinthus, M. J. (1974) · Advances in agronomy · doi:10.1016/s0065-2113(08)60782-8 · Cited by 385
Maddonni, G. Á., Otegui, M. E., & Cirilo, A. G. (2001) · Field Crops Research · doi:10.1016/s0378-4290(01)00158-7 · Cited by 348
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
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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.
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