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Modelling Farmers’ Behaviour Toward Risk in a Large Scale Positive Mathematical Programming (PMP) Model

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Advances in Applied Economic Research

Abstract

Agricultural production is characterized for being a risky business due to weather variability, market instability, plant diseases as well as climate change and political economy uncertainty. The modelling of risk at farm level is not new, however, the inclusion of risk in Positive Mathematical Programming (PMP) models is particularly challenging. Most of the few existing PMP-risk approaches have been conducted at farm-type level and for a very limited and specific sample of farms. This implies that the modelling of risk and uncertainty at individual farm level and in a large scale system is still a challenging task. The aim of this paper is to formulate, estimate and test a robust methodology for explicitly modelling risk to be incorporated in an EU-wide individual farm model for Common Agricultural Policy (CAP) analysis, named IFM-CAP. Results show that there is a clear trade-off between the behavioural model (BM) and the behavioural risk model (BRM). Albeit the results show that both alternatives provide very close estimates, the latter increases three times the computation time required for estimation. Despite this, we are convinced that the modelling of risk is crucial to better understand farmer behaviour and to accurately evaluate the impacts of risk management related policies (i.e. insurance schemes).

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Notes

  1. 1.

    For a review on PMP models, see Henry de Frahan et al. (2007), Mérel and Bucaram (2010), Paris (2011) and Heckelei et al. (2012).

  2. 2.

    The symbol \( \circ \) indicates the Hadamard product.

  3. 3.

    The calibration of the PMP models is implemented with R. The key calibration algorithms have been taken from two R libraries: quadprog and Alabama.

References

  • Antle JM (1983) Incorporating risk in production analysis. Am J Agric Econ 65(5):1099–1106

    Article  Google Scholar 

  • Antón J, Cattaneo A, Kimura S, Lankoski J (2013) Agricultural risk management policies under climate uncertainty. Glob Environ Chang 23:1726–1736

    Article  Google Scholar 

  • Arata L, Donati M, Sckokai P, Arfini F (2014) Incorporating risk in a positive mathematical programming framework: a new methodological approach. In: 2014 International Congress. European Association of Agricultural Economists, Ljubljana, Slovenia, August 26–29, 2014

    Google Scholar 

  • Blanco FB, Flichman G (2002) Recursive Stochastic Programming, an alternative approach to solve stochastic agricultural resource problems. In: Ierland EC, Weikard HP, Wesseler J (eds) Proceedings of the international conference on risk and uncertainty in environmental economics: risk and uncertainty in environmental economics. Wageningen University, pp 500–515

    Google Scholar 

  • Chavas JP, Holt M (1996) Economic behavior under uncertainty: a joint analysis of risk preferences and technology. Rev Econ Stat 78:329–335

    Article  Google Scholar 

  • Coyle BT (1992) Risk aversion and price risk in duality models of production: a linear mean variance approach. Am J Agric Econ 74:849–859

    Article  Google Scholar 

  • Coyle BT (1999) Risk aversion and yield uncertainty in duality models of production: a mean variance approach. Am J Agric Econ 81:553–567

    Article  Google Scholar 

  • De Cara S, Jayet PA (2000) Emissions of greenhouse gases from agriculture: the heterogeneity of abatement costs in France. Eur Rev Agric Econ 27(3):281–303

    Article  Google Scholar 

  • Freund RJ (1956) The introduction of risk into a programming model. Econometrica 24(3): 253--263

    Google Scholar 

  • Gocht A, Britz W (2011) EU-wide farm type supply models in CAPRI: how to consistently disaggregate sector models into farm type models. J Policy Model 33:146--167

    Google Scholar 

  • Gocht A, Britz W, Ciaian P, Gomez y Paloma S (2013) Farm type effects of an EU-wide direct payment harmonisation. J Agric Econ 64(1):1–32

    Google Scholar 

  • Gomez-Limon JA, Arriaza M, Riesgo L (2003) An MCDM analysis of agricultural risk aversion. Eur J Oper Res 151:569–585

    Article  Google Scholar 

  • Graveline N, Loubier S, Gleyses G, Rinaudo JD (2012) Impact of farming on water resources: assessing uncertainty with Monte Carlo simulations in a global change context. Agr Syst 108:29–41

    Article  Google Scholar 

  • Hazell PBR, Norton RD (1986) Mathematical programming for economic analysis in agriculture. Macmillan, New York

    Google Scholar 

  • Heckelei T (2002) Calibration and estimation of programming models for agricultural supply analysis. Habilitation Thesis for the Agricultural Faculty at the Bonn University

    Google Scholar 

  • Heckelei T, Britz W (2000) Positive mathematical programming with multiple data points: a cross-sectional estimation procedure. Cahiers d’Economie et Sociologie Rurales 57(4):28–50

    Google Scholar 

  • Heckelei T, Mittelhammer R, Britz W (2005) A Bayesian alternative to generalized cross entropy. Monte Universita Parma Editore, Italy, Parma

    Google Scholar 

  • Heckelei T, Britz W, Zhang Y (2012) Positive mathematical programming approaches – recent developments in literature and applied modelling. Bio-based Appl Econ 1(1):109–124

    Google Scholar 

  • Henry de Frahan B, Buysse J, Polomé P, Fernagut B, Harmignie O, Lauwers L, Van Huylenboreck G, Van Meensel J (2007) Positive mathematical programming for agricultural and environmental policy analysis: review and practice. In: Weintraub A, Romero C, Bjørndal T, Epstein R, Miranda J (eds) Handbook of operations research in natural resources. International Series in Operations Research and Management Science, vol 99(1), pp 129–154

    Google Scholar 

  • Howitt RE (1995) Positive mathematical programming. Am J Agric Econ 77(2):329–342

    Article  Google Scholar 

  • Jansson T, Heckelei T (2011) Estimating a primal model of regional crop supply in the European Union. J Agric Econ 62(1):137–152

    Google Scholar 

  • Jansson T, Heckelei T, Gocht A, Basnet SK, Zhang Y, Neuenfeldt S (2014) Analysing impacts of changing price variability with estimated farm risk-programming models. Paper prepared for presentation at the EAAE 2014 Congress. Ljubljana, Slovenia

    Google Scholar 

  • Koundouri P, Laukkanen M, Myyrä S, Nauges C (2009) The effects of EU agricultural policy changes on farmers’ risk attitudes. Eur Rev Agric Econ 36:53–77

    Article  Google Scholar 

  • Lehmann N, Briner S, Finger R (2013) The impact of climate and price risks on agricultural land use and crop management decisions. Land Use Policy 35:119–130

    Article  Google Scholar 

  • Louhichi K, Kanellopoulos A, Janssen S, Flichman G, Blanco M, Hengsdijk H, Heckelei T, Berentsen P, Lansink AO, Van Ittersum M (2010) FSSIM, a bio-economic farm model for simulating the response of EU farming systems to agricultural and environmental policies. Agr Syst 103:585–597

    Article  Google Scholar 

  • Louhichi K, Pavel C, Espinosa M, Colen L, Perni A (2015) An EU-wide individual farm model for common agricultural policy analysis (IFM-CAP). JRC Report. Available on-line at: http://publications.jrc.ec.europa.eu/repository/bitstream/JRC92574/jrcreport_jrc92574.pdf

  • Markowitz H (1959) Portfolio selection: efficient diversification of investments, 2nd edn. Wiley, Yale University Press, Basil Blackwell, 1991

    Google Scholar 

  • Markowitz H (2014) Mean–variance approximations to expected utility. Eur J Oper Res 234:346–355

    Article  Google Scholar 

  • Mérel P, Bucaram S (2010) Exact calibration of programming models of agricultural supply against exogenous sets of supply elasticities. Eur Rev Agric Econ 37(3):395–418

    Article  Google Scholar 

  • OJEU - Official Journal of the European Union (2013) Regulation (EU) No 1305/2013 of the European Parliament and of the Council of 17 December 2013 on support for rural development by the European Agricultural Fund for Rural Development (EAFRD) and repealing Council Regulation (EC) No 1698/2005

    Google Scholar 

  • Pannell DJ, Malcom B, Kingwell RS (2000) Are we risking too much? Perspectives on risk in farm modelling. Agric Econ 23:69–78

    Google Scholar 

  • Pannell DJ, Llewellyn RS, Corbeels M (2014) The farm-level economics of conservation agriculture for resource-poor farmers. Agric Ecosyst Environ 187:52–64

    Article  Google Scholar 

  • Paris Q (2011) Economic foundation of symmetric programming. Cambridge University Press, New York, pp 1–550

    Google Scholar 

  • Paris Q, Arfini F (2000) Frontier cost functions, self-selection, price risk, PMP, and Agenda 2000. Rivista di Economia Agraria 55(2):211–242

    Google Scholar 

  • Petsakos A, Rozakis S (2015) Calibration of agricultural risk programming models. Eur J Oper Res 242(2):536–545

    Article  Google Scholar 

  • Pratt JW (1964) Risk aversion in the small and in the large. Econometrica 32:122–136

    Article  Google Scholar 

  • Sckokai P, Moro D (2006) Modelling the reforms of the common agricultural policy for arable crops under uncertainty. Am J Agric Econ 88:43–56

    Article  Google Scholar 

  • Serra T, Zilberman D, Goodwin BK, Featherstone A (2006) Effects of decoupling on the mean and variability of output. Eur Rev Agric Econ 33:269–288

    Article  Google Scholar 

  • Serra T, Zilberman D, Gil JM (2008) Differential uncertainties and risk attitudes between conventional and organic producers: the case of Spanish arable crop farmers. Agric Econ 39:219–229

    Article  Google Scholar 

  • Severini S, Cortignani R (2012) Modelling farmer participation to a revenue insurance scheme by means of the Positive Mathematical Programming. Agric Econ – Czech 58(7):324–331

    Google Scholar 

  • Zhu M, Taylor D, Sarin SC, Kramer R (1994) Chance constrained programming models for risk-based economic and policy analysis of soil conservation. Agric Resource Econ Rev 23(1):58–65

    Article  Google Scholar 

Download references

Acknowledgment

The authors are grateful to the Economic Analysis of EU Agriculture Unit E.3 of the European Commission for granting access to the farm-level FADN data. The authors are solely responsible for the content of the paper. The views expressed are purely those of the authors and may not in any circumstances be regarded as stating an official position of the European Parliament or the European Commission.

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Correspondence to Ángel Perni .

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Arribas, I., Louhichi, K., Perni, Á., Vila, J., Gómez-y-Paloma, S. (2017). Modelling Farmers’ Behaviour Toward Risk in a Large Scale Positive Mathematical Programming (PMP) Model. In: Tsounis, N., Vlachvei, A. (eds) Advances in Applied Economic Research. Springer Proceedings in Business and Economics. Springer, Cham. https://doi.org/10.1007/978-3-319-48454-9_42

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