Fertilizer production functions from experimental data with associated supply and demand relationships

dc.contributor.author Heady, Earl
dc.contributor.author Pesek, John
dc.contributor.author Rao, V.
dc.contributor.department Extension and Experiment Station Publications
dc.date 2018-02-18T14:10:18.000
dc.date.accessioned 2020-06-30T06:59:42Z
dc.date.available 2020-06-30T06:59:42Z
dc.date.embargo 2017-06-21
dc.date.issued 2017-06-21
dc.description.abstract <p>This study includes (1) estimation of physical production functions from fertilizer experiments designed for this purpose, (2) prediction of corresponding marginal products, isoquants and isoclines, (3) estimation of economic optima under various price situations, (4) prediction of confidence regions for isoquants, isoclines and economic optima, (5) derivation of static corn supply and fertilizer demand functions and (6) estimation of gross marginal rates of substitution of fertilizer for land.</p> <p>The analysis of this study is based on two sets of experiments conducted in 1959 and 1960 on corn. The experiments, conducted on Clarion, Nicollet and Webster soil series, included nitrogen (N), phosphorus (P) and potassium (K) as variable nutrients. A central composite design was used for each experiment. A quadratic function with crossproduct terms of the three nutrients was fitted to the combined data of both years. However, K was fixed at zero level for the purpose of this study. The derived production function is given by equation a, where Y denotes predicted corn yield in bushels per acre and N, P and K denote the pounds per acre of nitrogen, phosphorus and potassium, respectively.</p>
dc.identifier archive/lib.dr.iastate.edu/researchbulletin/vol35/iss543/1/
dc.identifier.articleid 1558
dc.identifier.contextkey 10333644
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath researchbulletin/vol35/iss543/1
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/62882
dc.source.bitstream archive/lib.dr.iastate.edu/researchbulletin/vol35/iss543/1/Agricultural_Research_Bulletin_v035_b543.pdf|||Fri Jan 14 17:41:03 UTC 2022
dc.subject.disciplines Agriculture
dc.subject.disciplines Agronomy and Crop Sciences
dc.subject.disciplines Economics
dc.subject.disciplines Sociology
dc.title Fertilizer production functions from experimental data with associated supply and demand relationships
dc.type article
dc.type.genre article
dspace.entity.type Publication
relation.isJournalIssueOfPublication 0217c49c-138d-42ad-b7a3-ee42ec993ec2
relation.isOrgUnitOfPublication 302bd0e8-f82f-406a-88b5-c8f956b5f77b
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