The Quantitative Relationships Between Plant Population And Crop Yield

Willey, R.W.; Heath, S.B.

doi:10.1016/s0065-2113(08)60100-5

Cited by 310Crop Yield and Soil FertilityAgriculture, Soil, Plant ScienceAgronomic Practices and Intercropping Systems

The Quantitative Relationships Between Plant Population And Crop Yield

Willey, R.W., Heath, S.B.·1969·Advances in Agronomy

DOI 10.1016/s0065-2113(08)60100-5

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Expected grain yield response to plant density in winter wheat follows a diminishing returns function.
“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]
The mathematical equation of expected yield response to plant density can vary among quadratic, quadratic-plateau, linear-plateau, or exponential rise to maximum forms.
“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]

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“…multiple linear regression of the mean weight plant part on total density of the two species with the following equation Shinozaki and Kira 1956; Willey and Heath 1969 : 1/ plant part g A. altissima 1/h B0 BAA DAA BAARP DRP 1/ plant part g R. pseudoacacia 1/h B0 BRP DRP BRPAA DAA The Relative…”
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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)
DOI: 10.1016/s0065-2113(08)60100-5
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 › Ecology, Evolution, Behavior and Systematics › 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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