IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v314y2022i2d10.1007_s10479-020-03752-z.html
   My bibliography  Save this article

Two-part fractional regression model with conditional FDH responses: an application to Brazilian agriculture

Author

Listed:
  • Geraldo Souza

    (Universidade de Brasília)

  • Eliane Gonçalves Gomes

    (Embrapa)

  • Eliseu Roberto Alves

    (Embrapa)

Abstract

We extend the notion of a two-part fractional regression model with conditional free disposal hull efficiency responses to accommodate two-stage regression analysis. The two-part regression model includes the binomial model with a nonlinear specification for the expected response in (0,1] and is a more general formulation in the context of fractional regressions. We use nonlinear least squares to assess the effect of covariates in the conditional efficiency response. The approach is applied to Brazilian agricultural county data, as reported in the Brazilian agricultural census of 2006. The efficiency measure is output oriented and assumes variable returns to scale. Output is rural gross income and inputs are land expenses, labor expenses and expenses on other technological inputs. The covariates affecting production are credit, technical assistance, a rural development index, income concentration, measured by the Gini index, and regional dummies. Overall Brazilian rural production performance responds positively to all covariates.

Suggested Citation

  • Geraldo Souza & Eliane Gonçalves Gomes & Eliseu Roberto Alves, 2022. "Two-part fractional regression model with conditional FDH responses: an application to Brazilian agriculture," Annals of Operations Research, Springer, vol. 314(2), pages 393-409, July.
    • Handle: RePEc:spr:annopr:v:314:y:2022:i:2:d:10.1007_s10479-020-03752-z
    DOI: 10.1007/s10479-020-03752-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10479-020-03752-z
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10479-020-03752-z?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Tone, Kaoru & Sahoo, Biresh K., 2003. "Scale, indivisibilities and production function in data envelopment analysis," International Journal of Production Economics, Elsevier, vol. 84(2), pages 165-192, May.
    2. Simon Akahoua N'cho & Monique Mourits & Jonne Rodenburg & Alfons Oude Lansink, 2019. "Inefficiency of manual weeding in rainfed rice systems affected by parasitic weeds," Agricultural Economics, International Association of Agricultural Economists, vol. 50(2), pages 151-163, March.
    3. Kristiaan Kerstens & Ignace Van de Woestyne, 2018. "Enumeration algorithms for FDH directional distance functions under different returns to scale assumptions," Annals of Operations Research, Springer, vol. 271(2), pages 1067-1078, December.
    4. Cinzia Daraio & Léopold Simar & Paul W. Wilson, 2018. "Central limit theorems for conditional efficiency measures and tests of the ‘separability’ condition in non‐parametric, two‐stage models of production," Econometrics Journal, Royal Economic Society, vol. 21(2), pages 170-191, June.
    5. Kerstens, Kristiaan & Sadeghi, Jafar & Van de Woestyne, Ignace, 2019. "Convex and nonconvex input-oriented technical and economic capacity measures: An empirical comparison," European Journal of Operational Research, Elsevier, vol. 276(2), pages 699-709.
    6. Badin, Luiza & Daraio, Cinzia & Simar, Léopold, 2010. "Optimal bandwidth selection for conditional efficiency measures: A data-driven approach," European Journal of Operational Research, Elsevier, vol. 201(2), pages 633-640, March.
    7. World Bank, 2003. "Rural Poverty Alleviation in Brazil : Toward an Integrated Strategy," World Bank Publications - Books, The World Bank Group, number 15115.
    8. Mubarik Ali & John C. Flinn, 1989. "Profit Efficiency Among Basmati Rice Producers in Pakistan Punjab," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 71(2), pages 303-310.
    9. Esmeralda Ramalho & Joaquim Ramalho & Pedro Henriques, 2010. "Fractional regression models for second stage DEA efficiency analyses," Journal of Productivity Analysis, Springer, vol. 34(3), pages 239-255, December.
    10. Färe, Rolf & Karagiannis, Giannis, 2014. "Benefit-of-the-doubt aggregation and the diet problem," Omega, Elsevier, vol. 47(C), pages 33-35.
    11. Stéphane Blancard & Jean-Philippe Boussemart & Walter Briec & Kristiaan Kerstens, 2006. "Short- and Long-Run Credit Constraints in French Agriculture: A Directional Distance Function Framework Using Expenditure-Constrained Profit Functions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 88(2), pages 351-364.
    12. Soleimani-damaneh, M. & Mostafaee, A., 2009. "Stability of the classification of returns to scale in FDH models," European Journal of Operational Research, Elsevier, vol. 196(3), pages 1223-1228, August.
    13. Laure Latruffe, 2005. "The Impact of Credit Market Imperfections on Farm Investment in Poland," Post-Communist Economies, Taylor & Francis Journals, vol. 17(3), pages 349-362.
    14. Giovanni Cesaroni & Kristiaan Kerstens & Ignace Van de Woestyne, 2017. "Estimating scale economies in non-convex production models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(11), pages 1442-1451, November.
    15. Bădin, Luiza & Daraio, Cinzia & Simar, Léopold, 2019. "A bootstrap approach for bandwidth selection in estimating conditional efficiency measures," European Journal of Operational Research, Elsevier, vol. 277(2), pages 784-797.
    16. Karagiannis, Giannis & Knox Lovell, C.A., 2016. "Productivity measurement in radial DEA models with a single constant input," European Journal of Operational Research, Elsevier, vol. 251(1), pages 323-328.
    17. Mostafaee, Amin & Soleimani-damaneh, Majid, 2020. "Global sub-increasing and global sub-decreasing returns to scale in free disposal hull technologies: Definition, characterization and calculation," European Journal of Operational Research, Elsevier, vol. 280(1), pages 230-241.
    18. Djokoto, Justice G., 2015. "Technical efficiency of organic agriculture: a quantitative review," Studies in Agricultural Economics, Research Institute for Agricultural Economics, vol. 117(2), pages 1-11, August.
    19. Hazarika, Gautam & Alwang, Jeffrey, 2003. "Access to credit, plot size and cost inefficiency among smallholder tobacco cultivators in Malawi," Agricultural Economics, Blackwell, vol. 29(1), pages 99-109, July.
    20. Diana Fletschner & Catherine Guirkinger & Steve Boucher, 2010. "Risk, Credit Constraints and Financial Efficiency in Peruvian Agriculture," Journal of Development Studies, Taylor & Francis Journals, vol. 46(6), pages 981-1002.
    21. Luiza Bădin & Cinzia Daraio & Léopold Simar, 2014. "Explaining inefficiency in nonparametric production models: the state of the art," Annals of Operations Research, Springer, vol. 214(1), pages 5-30, March.
    22. A. Gelan & B.W. Muriithi, 2012. "Measuring and explaining technical efficiency of dairy farms: a case study of smallholder farms in East Africa," Agrekon, Taylor & Francis Journals, vol. 51(2), pages 53-74.
    23. Justice G. Djokoto & Korbla F. Gidiglo, 2016. "Technical Efficiency in Agribusiness: A Meta‐Analysis on Ghana," Agribusiness, John Wiley & Sons, Ltd., vol. 32(3), pages 397-415, July.
    24. Kristiaan Kerstens & Ignace Van de Woestyne, 2017. "How Harmless is Convexification for Nonparametric Cost Function Estimates?," Working Papers 2017-EQM-03, IESEG School of Management.
    25. Simar, Leopold & Wilson, Paul W., 2007. "Estimation and inference in two-stage, semi-parametric models of production processes," Journal of Econometrics, Elsevier, vol. 136(1), pages 31-64, January.
    26. Lambert, David K. & Bayda, Volodymyr V., 2005. "The Impacts of Farm Financial Structure on Production Efficiency," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 37(1), pages 277-289, April.
    27. Papke, Leslie E & Wooldridge, Jeffrey M, 1996. "Econometric Methods for Fractional Response Variables with an Application to 401(K) Plan Participation Rates," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 619-632, Nov.-Dec..
    28. Bădin, Luiza & Daraio, Cinzia & Simar, Léopold, 2012. "How to measure the impact of environmental factors in a nonparametric production model," European Journal of Operational Research, Elsevier, vol. 223(3), pages 818-833.
    29. Soleimani-damaneh, M. & Jahanshahloo, G.R. & Reshadi, M., 2006. "On the estimation of returns-to-scale in FDH models," European Journal of Operational Research, Elsevier, vol. 174(2), pages 1055-1059, October.
    30. Xianhua Tan & Sanggyun Na & Lei Guo & Jing Chen & Zhihua Ruan, 2019. "External Financing Efficiency of Rural Revitalization Listed Companies in China—Based on Two-Stage DEA and Grey Relational Analysis," Sustainability, MDPI, vol. 11(16), pages 1-21, August.
    31. Daraio, Cinzia & Simar, Leopold & Wilson, Paul, 2018. "Central limit theorems for conditional efficiency measures and tests of the ‘separability’ condition in non-parametric, two-stage models of production," LIDAM Reprints ISBA 2018023, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    32. Van Puyenbroeck, Tom & Rogge, Nicky, 2017. "Geometric mean quantity index numbers with Benefit-of-the-Doubt weights," European Journal of Operational Research, Elsevier, vol. 256(3), pages 1004-1014.
    33. da Silva e Souza, Geraldo & Gomes, Eliane Gonçalves, 2015. "Management of agricultural research centers in Brazil: A DEA application using a dynamic GMM approach," European Journal of Operational Research, Elsevier, vol. 240(3), pages 819-824.
    34. Eliane Gomes & João Soares de Mello & Geraldo Souza & Lidia Angulo Meza & João Mangabeira, 2009. "Efficiency and sustainability assessment for a group of farmers in the Brazilian Amazon," Annals of Operations Research, Springer, vol. 169(1), pages 167-181, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bright O. Asante & Renato A. Villano & Omphile Temoso, 2024. "Drivers of integrated crop–livestock farming system’s efficiency for smallholder farmers in the forest-savanna transition agro-ecological zone of Ghana," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 26(11), pages 29429-29451, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. da Silva e Souza, Geraldo & Gomes, Eliane Gonçalves, 2023. "Assessing the influence of external factors on agricultural production in Brazil," Socio-Economic Planning Sciences, Elsevier, vol. 85(C).
    2. Guangshun Qiao & Zhan-ao Wang, 2021. "Vertical integration vs. specialization: a nonparametric conditional efficiency estimate for the global semiconductor industry," Journal of Productivity Analysis, Springer, vol. 56(2), pages 139-150, December.
    3. Cinzia Daraio & Léopold Simar & Paul W. Wilson, 2020. "Fast and efficient computation of directional distance estimators," Annals of Operations Research, Springer, vol. 288(2), pages 805-835, May.
    4. Amir Moradi-Motlagh & Ali Emrouznejad, 2022. "The origins and development of statistical approaches in non-parametric frontier models: a survey of the first two decades of scholarly literature (1998–2020)," Annals of Operations Research, Springer, vol. 318(1), pages 713-741, November.
    5. Ye Wang & Yunguo Lu & Lin Zhang, 2021. "Opportunity Cost of Environmental Regulation in China’s Industrial Sector," IJERPH, MDPI, vol. 18(16), pages 1-19, August.
    6. Polemis, Michael L. & Stengos, Thanasis & Tzeremes, Nickolaos G., 2020. "Advertising expenses and operational performance: Evidence from the global hotel industry," Economics Letters, Elsevier, vol. 192(C).
    7. Hongwei Liu & Chenchen Gao & Henry Tsai, 2024. "Spatial spillover and determinants of tourism efficiency: A low carbon emission perspective," Tourism Economics, , vol. 30(3), pages 543-566, May.
    8. Jose M. Cordero & Cristina Polo & Daniel Santín, 2020. "Assessment of new methods for incorporating contextual variables into efficiency measures: a Monte Carlo simulation," Operational Research, Springer, vol. 20(4), pages 2245-2265, December.
    9. Michael L. Polemis & Thanasis Stengos & Nickolaos G. Tzeremes, 2020. "Modeling the effect of competition on US manufacturing sectors’ efficiency: an order-m frontier analysis," Journal of Productivity Analysis, Springer, vol. 54(1), pages 27-41, August.
    10. López-Torres, Laura & Johnes, Jill & Elliott, Caroline & Polo, Cristina, 2021. "The effects of competition and collaboration on efficiency in the UK independent school sector," Economic Modelling, Elsevier, vol. 96(C), pages 40-53.
    11. Bădin, Luiza & Daraio, Cinzia & Simar, Léopold, 2019. "A bootstrap approach for bandwidth selection in estimating conditional efficiency measures," European Journal of Operational Research, Elsevier, vol. 277(2), pages 784-797.
    12. Pierluigi Toma, 2020. "Size and productivity: a conditional approach for Italian pharmaceutical sector," Journal of Productivity Analysis, Springer, vol. 54(1), pages 1-12, August.
    13. Nicola Galluzzo, 2021. "Estimation of the impact of CAP subsidies as environmental variables on Romanian farms," Economia agro-alimentare, FrancoAngeli Editore, vol. 23(3), pages 1-24.
    14. Thyago Celso Cavalcante Nepomuceno & Katarina Tatiana Marques Santiago & Cinzia Daraio & Ana Paula Cabral Seixas Costa, 2022. "Exogenous crimes and the assessment of public safety efficiency and effectiveness," Annals of Operations Research, Springer, vol. 316(2), pages 1349-1382, September.
    15. Cinzia Daraio & Leopold Simar & Paul W. Wilson, 2019. "Quality and its Impact on Efficiency," LEM Papers Series 2019/06, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    16. Omneya Abdelsalam & Sabur Mollah & Emili Tortosa-Ausina, 2018. "Political connection and bank in(efficiency)," Working Papers 2018-11, Swansea University, School of Management.
    17. Mastromarco, Camilla & Simar, Léopold & Van Keilegom, Ingrid, 2022. "Estimating Nonparametric Conditional Frontiers and Efficiencies: A New Approach," LIDAM Discussion Papers ISBA 2022035, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    18. Nickolaos G. Tzeremes, 2019. "Technological change, technological catch-up and export orientation: evidence from Latin American Countries," Journal of Productivity Analysis, Springer, vol. 52(1), pages 85-100, December.
    19. Yunguo Lu & Lin Zhang, 2023. "Environmental information disclosure and firm production: evidence from the estimated efficiency of publicly listed firms in China," Journal of Productivity Analysis, Springer, vol. 59(1), pages 99-119, February.
    20. De la Cruz, Marco & Mergoni, Anna, 2024. "Assessing the performance of Peruvian education system from a governance perspective," Socio-Economic Planning Sciences, Elsevier, vol. 93(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:annopr:v:314:y:2022:i:2:d:10.1007_s10479-020-03752-z. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.