Skip to main content
Log in

A Multicommodity Spatial Price Equilibrium Model with Exchange Rates and Non-Tariff Measures for Agri-Food International Trade

  • Research
  • Published:
Operations Research Forum Aims and scope Submit manuscript

Abstract

International trade of agri-food products is essential for food security and the well-being of societies. Governments have increasingly turned way from tariffs as policy instruments and are, instead, applying non-tariff measures (NTMs). The evaluation of such policies that include quotas, subsidies, quality standards, as well as sanitary and phytosanitary measures, through the rigorous quantification of their impacts on the flows, prices, as well as quality levels of agricultural commodities, is highly needed, as is the inclusion of exchange rates. In this paper, we construct a multicommodity spatial price equilibrium model with exchange rates for the international trade of agri-food products that includes quotas, subsidies, quality of the commodities, along with possible deterioration in transport, minimum quality standards, and ad valorem equivalents to quantify NTMs associated with agricultural products that can affect the health and well-being of humans, animals, and plants. The methodological framework is that of the theory of variational inequalities. The extensive numerical examples are focused on wheat exports from Ukraine to Middle Eastern and North African (MENA) countries during wartime. The numerical examples include sensitivity analysis for ad valorem equivalents and governmental subsidies as well as quality coefficients with important insights for decision makers and policy makers concerned about food security affected by volumes of available agricultural commodities, their quality, as well as their supply and demand prices.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

Data Availability

All data are provided in the article.

References

  1. OECD (2019) Non-tariff measures. Available at: https://www.oecd.org/trade/topics/non-tariff-measures/

  2. World Trade Organization (1998) Understanding the WTO agreement on sanitary and phytosanitary measures. May. Available at: https://www.wto.org/english/tratop_e/sps_e/spsund_e.htm

  3. Kravchenko A, Strutt A, Utoktham C, Duval Y (2022) New price-based ad-valorem equivalent estimates of non-tariff measures. J Glob Econ Anal 7(2):38–65

    Article  Google Scholar 

  4. UNCTAD (2010) Non-tariff measures: evidence from selected developing countries and future research agenda. United Nations publication, New York and Geneva, p 99

    Google Scholar 

  5. UNCTAD and The World Bank (2017) The unseen impact of non-tariff measures: insights from a new database. United Nations. Available at: https://unctad.org/meetings/en/SessionalDocuments/ditc-tab-MC11-UNCTAD-NTMs.pdf

  6. FAO (2022) The state of agricultural commodity markets 2022: the geography of food and agricultural trade: policy approaches for sustainable development. Italy, Rome

    Google Scholar 

  7. Cadot O, Gourdon J, van Tongeren F (2018) Estimating ad valorem equivalents of non-tariff measures: combining price-based and quantity-based approaches. OECD Trade Policy Papers, No. 215, OECD Publishing, Paris

  8. Nagurney A, Nicholson BF, Bishop PM (1996) Spatial price equilibrium models with discriminatory ad valorem tariffs: formulation and comparative computation via variational inequalities. In: Bergh JCJM, Nijkamp P, Rietveld P (eds) Recent Advances in Spatial Equilibrium Modelling. Springer, Berlin, Germany, pp 179–200

    Chapter  Google Scholar 

  9. Ghodsi M (2023) Exploring the ’non-tariff measures black box’: whose regulatory NTMs on which products improve the imported quality? Int Econ 173:45–67

  10. Nagurney A, Li D, Nagurney LS (2014) Spatial price equilibrium with information asymmetry in quality and minimum quality standards. Int J Prod Econ 158:300–313

    Article  Google Scholar 

  11. Devadoss S, Sabala E (2020) Effects of yuan-dollar exchange rate changes on world cotton markets. J Agric Appl Econ 52(3):420–439

    Article  Google Scholar 

  12. Nagurney A, Hassani D, Nivievskyi O, Martyshev P (2023) Exchange rates and multicommodity international trade: insights from spatial price equilibrium modeling with policy instruments via variational inequalities. J Glob Optim. https://doi.org/10.1007/s10898-023-01292-x

  13. Al Jazeera (2022) Russian forces launch full scale invasion of Ukraine. February 24. Available at: https://www.aljazeera.com/news/2022/2/24/putin-orders-military-operations-in-eastern-ukraine-as-un-meets

  14. Shepotylo O (2022) Non-tariff measures and productivity of Ukrainian food processing firms. Vox Ukraine, March 3. Available at: https://voxukraine.org/en/non-tariff-measures-and-productivity-of-ukrainian-food-processing-firms/

  15. Samuelson PA (1952) Spatial price equilibrium and linear programming. Am Econ Rev 42:283–303

    Google Scholar 

  16. Takayama T, Judge GG (1964) Spatial equilibrium and quadratic programming. Journal of Farm Economics 46(1):67–93

    Article  Google Scholar 

  17. Takayama T, Judge GG (1971) Spatial and temporal price and allocation models. North-Holland Publishing Company, Amsterdam, The Netherlands

    Google Scholar 

  18. Florian M, Los M (1982) A new look at static spatial price equilibrium models. Reg Sci Urban Econ 12:579–597

    Article  Google Scholar 

  19. Dafermos S, Nagurney A (1984) Sensitivity analysis for the general spatial economic equilibrium problem. Oper Res 32:1069–1086

    Article  MathSciNet  Google Scholar 

  20. Harker PT (ed) (1985) Spatial price equilibrium: advances in theory, computation and application. Springer, Heidelberg, Germany

    Google Scholar 

  21. Nagurney A, Takayama T, Zhang D (1995) Massively parallel computation of spatial price equilibrium problems as dynamical systems. J Econ Dyn Control 18:3–37

    Article  MathSciNet  Google Scholar 

  22. Nagurney A, Thore S, Pan J (1996) Spatial market models with goal targets. Oper Res 44:393–406

    Article  Google Scholar 

  23. Nagurney A (1999) Network economics: a variational inequality approach, second and, revised. Kluwer Academic Publishers, Dordrecht, The Netherlands

    Book  Google Scholar 

  24. Daniele P (2004) Time-dependent spatial price equilibrium problem: existence and stability results for the quantity formulation model. J Glob Optim 28(3–4):283–295

    Article  MathSciNet  Google Scholar 

  25. Nagurney A, Besik D (2022) Spatial price equilibrium networks with flow-dependent arc multipliers. Optim Lett 16:2483–2500

    Article  MathSciNet  PubMed  PubMed Central  Google Scholar 

  26. Nagurney A, Salarpour M, Dong J, Nagurney LS (2020) A stochastic disaster relief game theory network model. Oper Res Forum 10

  27. Nagurney A (2021) A multiperiod supply chain network optimization model with investments in labor productivity enhancements in an era of COVID-19 and climate change. Oper ResForum 68

  28. Colajanni G, Daniele P, Sciacca D (2022) On the provision of services with UAVs in disaster scenarios: a two-stage stochastic approach. Oper Res Forum 18

  29. Nagurney A, Salarpour M, Dong J (2022) Modeling of COVID-19 trade measures on essential products: a multiproduct, multicountry spatial price equilibrium framework. Int Trans Oper Res 29(1):226–258

    Article  MathSciNet  PubMed  Google Scholar 

  30. Nagurney A, Besik D, Dong J (2019) Tariffs and quotas in world trade: a unified variational inequality framework. Eur J Oper Res 275(1):347–360

    Article  MathSciNet  Google Scholar 

  31. Nagurney A (2022) Spatial price equilibrium, perishable products, and trade policies in the COVID-19 pandemic, Montes Taurus. J Pure Appl Math 4(3):9–24

    Google Scholar 

  32. Nagurney A (2008) Spatial price equilibrium. In: Floudas C, Pardalos P (eds) Encyclopedia of optimization. Springer, Boston, MA, pp 3646–3652

    Chapter  Google Scholar 

  33. UNCTAD (2022) Non-tariff measures from A to Z. United Nations

  34. Lopez SAI, Rau ML, Woltjer G (2019) Exploring alternative approaches to estimate the impact of non-tariff measures and further implementation in simulation models. Joint Research Centre (JRC) technical report EUR 29578 EN Publications Office of the European Union, Luxembourg

  35. Besedina E (2015) Non-tariff measures in the context of export promotion policies. Free Network, May 11. Available at: https://freepolicybriefs.org/2015/05/11/non-tariff-measures-in-the-context-of-export-promotion-policies/

  36. Arita S, Beckmann J, Mitchell L (2016) Sanitary and phytosanitary measures and technical barriers to trade: how much to they impact U.S.-EU agricultural trade? US Department of Agriculture, Economic Research Service, August 1, Washington DC. Available at: https://www.ers.usda.gov/amber-waves/2016/august/sanitary-and-phytosanitary-measures-and-technical-barriers-to-trade-how-much-do-they-impact-us-eu-agricultural-trade/

  37. Besik D, Nagurney A (2017) Quality in competitive fresh produce supply chains with application to farmers’ markets. Socioecon Plann Sci 60:62–76

    Article  Google Scholar 

  38. Nagurney A, Besik D, Yu M (2018) Dynamics of quality as a strategic variable in complex food supply chain network competition: the case of fresh produce. Chaos 28:043124

    Article  ADS  MathSciNet  PubMed  Google Scholar 

  39. Besik D, Nagurney A, Dutta P (2023) An integrated, multitiered supply chain network model of competing agricultural firms and processing firms: the case of fresh produce and quality. Eur J Oper Res 307(1):364–381

    Article  MathSciNet  Google Scholar 

  40. Nagurney A, Li D (2016) Competing on supply chain quality: a network economics perspective. Springer International Publishing Switzerland

  41. Li D, Nagurney A, Yu M (2018) Consumer learning of product quality with time delay: insights from spatial price equilibrium models with differentiated products. Omega 81:150–168

    Article  Google Scholar 

  42. Nagurney A, Aronson J (1988) A general dynamic spatial price equilibrium model: formulation, solution, and computational results. J Comput Appl Math 22:339–357

    Article  MathSciNet  Google Scholar 

  43. Nagurney A, Yu M, Masoumi AH, Nagurney LS (2013) Networks against time: supply chain analytics for perishable products. Springer, New York

    Book  Google Scholar 

  44. Assoua JE, Molua EL, Nkendah R, Fani DCR, Tabetando R (2022) The effect of sanitary and phytosanitary measures on Cameroon’s cocoa exports: an application of the gravity model. Heliyon 8(1):e08754

  45. Dong F, Jensen HH (2007) Challenges for China’s agricultural exports: compliance with sanitary and phytosanitary measures. Choices, 1st Quarter 22(1):19-24

  46. Shepotylo O, Vakhitov V, Movchan V, Panga P (2022) Non-tariff measures and productivity of Ukrainian food-processing firms. J Agric Econ 73(1):234–256

    Article  Google Scholar 

  47. Armington PS (1969) A theory of demand for products distinguished by place of production. IMF Staff Pap 16:159–178

    Article  Google Scholar 

  48. Sarker R, Surry Y (2005) Product differentiation and trade in agri-food products: taking stock and looking forward. An invited paper presented on the Theme Day, “Modeling Food and Agricultural Markets" at the 2005 Annual Meeting of the International Agricultural Trade Research Consortium in San Diego California

  49. Korpelevich G M (1977) The extragradient method for finding saddle points and other problems. Matekon 13:35–49

  50. UN News (2022) Black Sea grain exports deal ‘a beacon of hope’ amid Ukraine war - Guterres, July 22. Available at: https://news.un.org/en/story/2022/07/1123062

  51. Nivievskyi O (2022) Russian War in Ukraine and Global Food Crisis [Webinar]. Public Policy Programs. The Behrend College, Pennsylvania State University Erie. Available at: https://behrend.psu.edu/school-of-humanities-social-sciences/research-outreach/public-policy-fund/programs

  52. Whitworth J (2022) Ukraine tells of war impact on food safety at meeting of World Trade Organization. Food Safety News, July 8. Available at: https://www.foodsafetynews.com/2022/07/ukraine-tells-of-war-impact-on-food-safety-at-meeting-of-world-trade-organization/

  53. USDA (2022) Ukraine agricultural production and trade fact sheet. Foreign Agricultural Service, April, Washington DC

    Google Scholar 

  54. Ma M, Li Y, Xue C, Xiong W, Peng Z, Han X, Ju H, He Y (2021) Current situation and key parameters for improving wheat quality in China. Front Plant Sci 12:638525

    Article  PubMed  PubMed Central  Google Scholar 

  55. Mathews S (2022) Lebanese buyer rejects first batch of Ukrainian grain. Middle East Eye, August 8. Available at: https://www.middleeasteye.net/news/lebanese-buyer-rejects-first-batch-ukrainian-grain

Download references

Acknowledgements

The authors are grateful to the partnership established between the University of Massachusetts Amherst and the Kyiv School of Economics and the Virtual Scholar Program.

Funding

The second author was funded, in part, through the University of Massachusetts Amherst - Kyiv School of Economics partnership with funding provided by the former university.

Author information

Authors and Affiliations

Authors

Contributions

A.N. and E.B. developed the model foundations jointly and the motivation for the timeliness of the work. A.N. did the coding of the algorithm and the running of it to solve the numerical examples. E.B. provided further discussions and analysis and interpretation of the results as well as the importance of them. Both read through and finalized the paper.

Corresponding author

Correspondence to Anna Nagurney.

Ethics declarations

Competing Interests

The authors declare no competing interests.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nagurney, A., Besedina, E. A Multicommodity Spatial Price Equilibrium Model with Exchange Rates and Non-Tariff Measures for Agri-Food International Trade. Oper. Res. Forum 4, 84 (2023). https://doi.org/10.1007/s43069-023-00262-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s43069-023-00262-z

Keywords

Navigation