IDEAS home Printed from https://ideas.repec.org/a/spr/operea/v21y2021i3d10.1007_s12351-019-00499-9.html
   My bibliography  Save this article

Using multiobjective optimization models to establish healthy diets in Spain following Mediterranean standards

Author

Listed:
  • Mónica Hernández

    (Universidad de Málaga)

  • Trinidad Gómez

    (Universidad de Málaga)

  • Laura Delgado-Antequera

    (Universidad de Málaga)

  • Rafael Caballero

    (Universidad de Málaga)

Abstract

Last reviews show how the Spanish consumption patterns have become away from the Mediterranean diet, traditionally consumed in Spain and widely supported by the nutritional expert community. Hence, the aim of this study is to explore and provide different alternatives to the current Spanish diet. The idea is to obtain a set of palatable diets fulfilling the nutritional requirements and conform the Mediterranean standards, while staying as close as possible to the current population pattern, under a budget constraint. In this context, different models are developed using multiobjective techniques. Additionally, this work defines an alternative diet more stable in comparison with the diets on the boundary of the feasible set. The consumption data used in this study is taken from Ministerio de Agricultura y Pesca, Alimentación y Medio Ambiente (in Spanish MAPAMA) that contains relevant information about the foods consumed in Spain. Using this data, each model has been solved with Matlab Software, obtaining different feasible diets, whose composition corresponds to the suggested daily intake for a Spanish adult. In any case, the budget constraint reduces the current cost and fulfills the nutritional requirements, attending to the Mediterranean standards. Results show different food baskets to guide the current Spanish diet towards the consumption of healthy foods in the appropriate proportions, going back to the diet traditionally consumed.

Suggested Citation

  • Mónica Hernández & Trinidad Gómez & Laura Delgado-Antequera & Rafael Caballero, 2021. "Using multiobjective optimization models to establish healthy diets in Spain following Mediterranean standards," Operational Research, Springer, vol. 21(3), pages 1927-1961, September.
  • Handle: RePEc:spr:operea:v:21:y:2021:i:3:d:10.1007_s12351-019-00499-9
    DOI: 10.1007/s12351-019-00499-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s12351-019-00499-9
    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/s12351-019-00499-9?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. C. S. Srinivasan, 2007. "Food consumption impacts of adherence to dietary norms in the United States: a quantitative assessment," Agricultural Economics, International Association of Agricultural Economists, vol. 37(2‐3), pages 249-256, September.
    2. Carlson, Andrea & Lino, Mark & Fungwe, Thomas V., 2007. "The Low-Cost, Moderate-Cost, and Liberal Food Plans, 2007," CNPP Reports 45850, United States Department of Agriculture, Center for Nutrition Policy and Promotion.
    3. Lancaster, Lilly M., 1992. "The history of the application of mathematical programming to menu planning," European Journal of Operational Research, Elsevier, vol. 57(3), pages 339-347, March.
    4. J. N. Hooker & H. P. Williams, 2012. "Combining Equity and Utilitarianism in a Mathematical Programming Model," Management Science, INFORMS, vol. 58(9), pages 1682-1693, September.
    5. Bhavani Shankar & C. S. Srinivasan & Xavier Irz, 2008. "World Health Organization Dietary Norms: A Quantitative Evaluation of Potential Consumption Impacts in the United States, United Kingdom, and France," Review of Agricultural Economics, Agricultural and Applied Economics Association, vol. 30(1), pages 151-175.
    6. Victor E. Smith, 1959. "Linear Programming Models for the Determination of Palatable Human Diets," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 41(2), pages 272-283.
    7. George J. Stigler, 1945. "The Cost of Subsistence," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 27(2), pages 303-314.
    8. Romero, Carlos, 2004. "A general structure of achievement function for a goal programming model," European Journal of Operational Research, Elsevier, vol. 153(3), pages 675-686, March.
    9. Romero, Carlos, 2001. "Extended lexicographic goal programming: a unifying approach," Omega, Elsevier, vol. 29(1), pages 63-71, February.
    Full references (including those not matched with items on IDEAS)

    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. Sophie Drogue & Marlène Perignon & Nicole Darmon & Marie Josèphe Amiot, 2020. "Does a better diet reduce dependence on imports? The case of Tunisia," Agricultural Economics, International Association of Agricultural Economists, vol. 51(4), pages 567-575, July.
    2. F. Martos-Barrachina & L. Delgado-Antequera & M. Hernández & R. Caballero, 2022. "An extensive search algorithm to find feasible healthy menus for humans," Operational Research, Springer, vol. 22(5), pages 5231-5267, November.
    3. Irz, Xavier & Leroy, Pascal & Réquillart, Vincent & Soler, Louis-Georges, 2015. "Economic assessment of nutritional recommendations," Journal of Health Economics, Elsevier, vol. 39(C), pages 188-210.
    4. Jones, Dylan & Jimenez, Mariano, 2013. "Incorporating additional meta-objectives into the extended lexicographic goal programming framework," European Journal of Operational Research, Elsevier, vol. 227(2), pages 343-349.
    5. Chang, Ching-Ter, 2011. "Multi-choice goal programming with utility functions," European Journal of Operational Research, Elsevier, vol. 215(2), pages 439-445, December.
    6. S. Henson, 1991. "Linear Programming Analysis Of Constraints Upon Human Diets," Journal of Agricultural Economics, Wiley Blackwell, vol. 42(3), pages 380-393, September.
    7. Chang, Ching-Ter, 2007. "Multi-choice goal programming," Omega, Elsevier, vol. 35(4), pages 389-396, August.
    8. Chang, Ching-Ter & Chung, Cheng-Kung & Sheu, Jiuh-Biing & Zhuang, Zheng-Yun & Chen, Huang-Mu, 2014. "The optimal dual-pricing policy of mall parking service," Transportation Research Part A: Policy and Practice, Elsevier, vol. 70(C), pages 223-243.
    9. Martin Ravallion, 2020. "On Measuring Global Poverty," Annual Review of Economics, Annual Reviews, vol. 12(1), pages 167-188, August.
    10. Xavier Irz & Pascal Leroy & Vincent V. Requillart & Louis Georges Soler & Olivier Allais, 2013. "Identifying sustainable diets compatible with consumer preferences [Identification de régimes alimentaires durables compatibles avec les préférences des consommateurs]," Post-Print hal-02804826, HAL.
    11. Susan Garner Garille & Saul I. Gass, 2001. "Stigler's Diet Problem Revisited," Operations Research, INFORMS, vol. 49(1), pages 1-13, February.
    12. Wilson, Robert R., 1969. "The Theory of Consumer Behavior: Production and the Allocation of Time," File Manuscripts, United States National Marine Fisheries Service, Economic Research Division, number 233601.
    13. Buisman, Marjolein E. & Haijema, Rene & Akkerman, Renzo & Bloemhof, Jacqueline M., 2019. "Donation management for menu planning at soup kitchens," European Journal of Operational Research, Elsevier, vol. 272(1), pages 324-338.
    14. Chang, Ching-Ter, 2007. "Binary fuzzy goal programming," European Journal of Operational Research, Elsevier, vol. 180(1), pages 29-37, July.
    15. Kanellopoulos, A. & Gerdessen, J.C. & Claassen, G.D.H., 2015. "Compromise programming: Non-interactive calibration of utility-based metrics," European Journal of Operational Research, Elsevier, vol. 244(2), pages 519-524.
    16. Francisco Guijarro & Juan A. Poyatos, 2018. "Designing a Sustainable Development Goal Index through a Goal Programming Model: The Case of EU-28 Countries," Sustainability, MDPI, vol. 10(9), pages 1-17, September.
    17. Şeyda Gür & Tamer Eren, 2018. "Scheduling and Planning in Service Systems with Goal Programming: Literature Review," Mathematics, MDPI, vol. 6(11), pages 1-16, November.
    18. Chang, Ching-Ter & Lin, Teng-Chiao, 2009. "Interval goal programming for S-shaped penalty function," European Journal of Operational Research, Elsevier, vol. 199(1), pages 9-20, November.
    19. Camacho-Collados, M. & Liberatore, F. & Angulo, J.M., 2015. "A multi-criteria Police Districting Problem for the efficient and effective design of patrol sector," European Journal of Operational Research, Elsevier, vol. 246(2), pages 674-684.
    20. Fernando García & Francisco Guijarro & Javier Oliver, 2021. "A Multicriteria Goal Programming Model for Ranking Universities," Mathematics, MDPI, vol. 9(5), pages 1-17, February.

    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:operea:v:21:y:2021:i:3:d:10.1007_s12351-019-00499-9. 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.