Experimental designs for estimating plateau-type production functions and economically optimal input levels

Brorsen, B. Wade; Richter, Francisca

doi:10.1007/s11123-010-0204-0

Cited by 28 publications

(19 citation statements)

References 29 publications

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“…However, we examined only the structural uncertainty for the mathematical formulations and ignored the structural uncertainty caused by the choice of processes included in the model. The effect of functional forms on optimal fertilization rates have often been shown to be significant [8,76,77]. Our results for the effect of structural uncertainty on optimization results showed that the effect of functional form choice on optimal fertilizer rates was minor.…”

Section: Discussionmentioning

confidence: 64%

Phosphorus and Nitrogen Yield Response Models for Dynamic Bio-Economic Optimization: An Empirical Approach

et al. 2018

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Nitrogen (N) and phosphorus (P) are both essential plant nutrients. However, their joint response to plant growth is seldom described by models. This study provides an approach for modeling the joint impact of inorganic N and P fertilization on crop production, considering the P supplied by the soil, which was approximated using the soil test P (STP). We developed yield response models for Finnish spring barley crops (Hordeum vulgare L.) for clay and coarse-textured soils by using existing extensive experimental datasets and nonlinear estimation techniques. Model selection was based on iterative elimination from a wide diversity of plausible model formulations. The Cobb−Douglas type model specification, consisting of multiplicative elements, performed well against independent validation data, suggesting that the key relationships that determine crop responses are captured by the models. The estimated models were extended to dynamic economic optimization of fertilization inputs. According to the results, a fair STP level should be maintained on both coarse-textured soils (9.9 mg L −1 a −1 ) and clay soils (3.9 mg L −1 a −1 ). For coarse soils, a higher steady-state P fertilization rate is required (21.7 kg ha −1 a −1 ) compared with clay soils (6.75 kg ha −1 a −1 ). The steady-state N fertilization rate was slightly higher for clay soils (102.4 kg ha −1 a −1 ) than for coarse soils (95.8 kg ha −1 a −1 ). This study shows that the iterative elimination of plausible functional forms is a suitable method for reducing the effects of structural uncertainty on model output and optimal fertilization decisions.

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Section: Discussionmentioning

confidence: 64%

Phosphorus and Nitrogen Yield Response Models for Dynamic Bio-Economic Optimization: An Empirical Approach

et al. 2018

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“…The parameter captures both production and behavioral aspects and may consist of both observable (i.e., contractible) production characteristics such as soil and climate and unobservable (non-contractible) characteristics of both the farmer (risk aversion, time preference, other behavioral attributes, access to non-farming opportunities) and the farm (other soil and climate variables). The Mitscherlich production function is widely used to model fertilizer responses by wheat and other grains (Boldea et al, 2010;Brorsen and Richter, 2012;Farquharson et al, 2008;Holford et al, 1992;Sonar and Babhulkar, 2002;Tumusiime et al, 2011). Let profits from production be py À wN where p is wheat price and w is price per unit N. Profit maximization in the absence of an offset sale gives nitrogen application…”

Section: Costs and Participationmentioning

confidence: 99%

“…We examine additional values of Á N ¼ 2:63 lbs/ac and 3.74 lbs/ac, corresponding to ¼ 0:027 (Holford et al, 1992) and 0.019 (Brorsen and Richter, 2012) and further values of ¼ 0:1 (farmers highly reluctant to supply offsets or costs steeply rising above the baseline) and 0.9 (farmers eager to supply offsets or costs rising only slowly above the baseline). Changes in Á N and show the sensitivity of the additionality estimates but do not directly indicate welfare.…”

Section: Sensitivity To Parametersmentioning

confidence: 99%

Greenhouse Gas Offsets: Analysis of Baseline Rules and Additionality for Reduced Nitrogen Application on Wheat

Horowitz

2014

Clim. Change Econ.

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Agriculture is a source of greenhouse gas emissions that could be included as offsets in a capand-trade system. This paper describes offset rules that could be applied to reduced nitrogen fertilizer application on wheat, a source of nitrous oxide emissions. Unlike other papers that have examined offset rules, we do not assume that farmers' business-as-usual nitrogen emissions can be perfectly predicted. We construct a structural model of wheat production and use this, along with Agricultural Resource Management Survey data, to model or estimate participation in the offset market, offset supply conditional on participation, and business-as-usual emissions. We find that roughly two-thirds of the supplied offsets would be non-additional at an allowance price of $15/tonne CO 2 -e. Under assumptions about the social damages from greenhouse gas emissions, we find that allowing nitrogen offsets would marginally pass a standard benefit-cost test.

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“…For example, Brorsen and Richter (2012) identified the characteristics of the optimal experimental design supporting the estimation of production functions and found that whereas a stochastic plateau model better fit the data use, equally spaced design seems to maintain their utility. For example, Brorsen and Richter (2012) identified the characteristics of the optimal experimental design supporting the estimation of production functions and found that whereas a stochastic plateau model better fit the data use, equally spaced design seems to maintain their utility.…”

Section: Introductionmentioning

confidence: 99%

Advances in Research on Fertilization Management of Vegetable Crops

Tei¹,

Nicola²,

Benincasa³

2017

Advances in Olericulture

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The book series Advances in Olericulture provides a state-of-the-art account of research in olericulture, the applied life science of production and utilization of vegetable crops. The series focuses on various aspects of vegetable science and technology covering primarily but not exclusively species where the vegetative organ is the economically important component. The series of books spans current topics from sustainable fertilization to organic production; from open field cultivation to advanced soilless growing techniques; from vegetable seed and seedling physiology to vegetable quality and safety; from environmental stresses to phyllosphere communities interaction with vegetables; from postharvest biology and technology to minimally processing of vegetables. The series is designed to present the most advanced scientific information available linking basic and applied research for serving olericulturists, research workers, teachers and advanced students.More information about this series at

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Experimental designs for estimating plateau-type production functions and economically optimal input levels

Cited by 28 publications

References 29 publications

Phosphorus and Nitrogen Yield Response Models for Dynamic Bio-Economic Optimization: An Empirical Approach

Phosphorus and Nitrogen Yield Response Models for Dynamic Bio-Economic Optimization: An Empirical Approach

Greenhouse Gas Offsets: Analysis of Baseline Rules and Additionality for Reduced Nitrogen Application on Wheat

Advances in Research on Fertilization Management of Vegetable Crops

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