IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i11p2025-d444708.html
   My bibliography  Save this article

The Waring Distribution as a Low-Frequency Prediction Model: A Study of Organic Livestock Farms in Andalusia

Author

Listed:
  • María Dolores Huete-Morales

    (Faculty of Labour Sciences, Department of Statistics and Operational Research, University of Granada, 18071 Granada, Spain)

  • Juan Antonio Marmolejo-Martín

    (Faculty of Social and Legal Sciences of Melilla, Department of Statistics and Operational Research, University of Granada, 52071 Melilla, Spain)

Abstract

Although the numbers are relatively small with respect to non-organic livestock, the importance of organic livestock farms lies in their sustainable coexistence with the natural environment and in the high-quality food products obtained. In this type of production, no artificial chemicals or genetically modified organisms are used, therefore there will be less impact on the environment and, in most cases, native breeds are employed. This paper describes a geostatistical study of organic livestock farms in Andalusia (southern Spain), conducted using information from the 2009 Agricultural Census, by classes of livestock. This region currently records the highest output in Spain for organic livestock farming. The number of farms was fitted according to the univariate generalized Waring distribution, which is presented as a means of analyzing this type of discrete measurement, using agricultural or livestock data. The Waring distribution is used when the frequency of occurrence of a phenomenon is very low and allows one to divide the variance. The most important outcome of this study is the finding that livestock data variability is mainly due to external factors such as the proneness component of the variance.

Suggested Citation

  • María Dolores Huete-Morales & Juan Antonio Marmolejo-Martín, 2020. "The Waring Distribution as a Low-Frequency Prediction Model: A Study of Organic Livestock Farms in Andalusia," Mathematics, MDPI, vol. 8(11), pages 1-11, November.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:2025-:d:444708
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/11/2025/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/11/2025/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Panaretos, John & Xekalaki, Evdokia, 1986. "The stuttering generalized waring distribution," Statistics & Probability Letters, Elsevier, vol. 4(6), pages 313-318, October.
    2. Margret Krieger & Philip J. Jones & Isabel Blanco-Penedo & Julie E. Duval & Ulf Emanuelson & Susanne Hoischen-Taubner & Karin Sjöström & Albert Sundrum, 2020. "Improving Animal Health on Organic Dairy Farms: Stakeholder Views on Policy Options," Sustainability, MDPI, vol. 12(7), pages 1-17, April.
    3. Anthony Fardet & Edmond Rock, 2020. "Ultra-Processed Foods and Food System Sustainability: What Are the Links?," Sustainability, MDPI, vol. 12(15), pages 1-26, August.
    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. Panaretos, John & Xekalaki, Evdokia, 1989. "A probability distribution associated with events with multiple occurrences," Statistics & Probability Letters, Elsevier, vol. 8(4), pages 389-395, September.
    2. Tanita Northcott & Mark Lawrence & Christine Parker & Phillip Baker, 2023. "Ecological regulation for healthy and sustainable food systems: responding to the global rise of ultra-processed foods," Agriculture and Human Values, Springer;The Agriculture, Food, & Human Values Society (AFHVS), vol. 40(3), pages 1333-1358, September.
    3. Yu, Mengyan & Umair, Muhammad & Oskenbayev, Yessengali & Karabayeva, Zhаnsaya, 2023. "Exploring the nexus between monetary uncertainty and volatility in global crude oil: A contemporary approach of regime-switching," Resources Policy, Elsevier, vol. 85(PB).
    4. Xekalaki, Evdokia & Panaretos, John, 1983. "Identifiability of Compound Poisson Distributions," MPRA Paper 6244, University Library of Munich, Germany.
    5. Haab, T. C., 2003. "Temporal correlation in recreation demand models with limited data," Journal of Environmental Economics and Management, Elsevier, vol. 45(2), pages 195-212, March.
    6. Anthony Fardet & David Thivel & Laurent Gerbaud & Edmond Rock, 2021. "A Sustainable and Global Health Perspective of the Dietary Pattern of French Population during the 1998–2015 Period from INCA Surveys," Sustainability, MDPI, vol. 13(13), pages 1-13, July.
    7. Panaretos, John & Xekalaki, Evdokia, 1986. "On Some Distributions Arising from Certain Generalized Sampling Schemes," MPRA Paper 6249, University Library of Munich, Germany.
    8. José Rodríguez-Avi & Antonio Conde-Sánchez & Antonio Sáez-Castillo & María Olmo-Jiménez, 2004. "A triparametric discrete distribution with complex parameters," Statistical Papers, Springer, vol. 45(1), pages 81-95, January.
    9. Alba Linares Quero & Uxue Iragui Yoldi & Oriana Gava & Gerald Schwarz & Andrea Povellato & Carlos Astrain, 2022. "Assessment of the Common Agricultural Policy 2014–2020 in Supporting Agroecological Transitions: A Comparative Study of 15 Cases across Europe," Sustainability, MDPI, vol. 14(15), pages 1-23, July.
    10. Lin Zhang & Wolfgang Glänzel & Liming Liang, 2009. "Tracing the role of individual journals in a cross-citation network based on different indicators," Scientometrics, Springer;Akadémiai Kiadó, vol. 81(3), pages 821-838, December.
    11. Kemp, Adrienne W., 2013. "New discrete Appell and Humbert distributions with relevance to bivariate accident data," Journal of Multivariate Analysis, Elsevier, vol. 113(C), pages 2-6.
    12. Susanne Hoischen-Taubner & Jonas Habel & Verena Uhlig & Eva-Marie Schwabenbauer & Theresa Rumphorst & Lara Ebert & Detlev Möller & Albert Sundrum, 2021. "The Whole and the Parts—A New Perspective on Production Diseases and Economic Sustainability in Dairy Farming," Sustainability, MDPI, vol. 13(16), pages 1-20, August.
    13. Wolfgang Glänzel, 2009. "The multi-dimensionality of journal impact," Scientometrics, Springer;Akadémiai Kiadó, vol. 78(2), pages 355-374, February.
    14. Gupta, Arjun K. & Nguyen, Truc T. & Wang, Yinning & Wesolowski, Jacek, 2001. "Identifiability of Modified Power Series Mixtures via Posterior Means," Journal of Multivariate Analysis, Elsevier, vol. 77(2), pages 163-174, May.
    15. Anthony Fardet & Kenny Aubrun & Haripriya Sundaramoorthy & Edmond Rock, 2022. "Nutrition Transition and Chronic Diseases in India (1990–2019): An Ecological Study Based on Animal and Processed Food Caloric Intake and Adequacy according to Nutrient Needs," Sustainability, MDPI, vol. 14(22), pages 1-20, November.
    16. Saras Sarasvathy & Anil Menon & Graciela Kuechle, 2013. "Failing firms and successful entrepreneurs: serial entrepreneurship as a temporal portfolio," Small Business Economics, Springer, vol. 40(2), pages 417-434, February.
    17. Panaretos, John, 1989. "Some Properties and Applications of the Stuttering Generalized Waring Distribution," MPRA Paper 6256, University Library of Munich, Germany.
    18. Khondoker Abdul Mottaleb & Ashok K. Mishra, 2023. "Income, urbanisation and consumption of processed foods: Implications for nutrition and health policies for India," Journal of International Development, John Wiley & Sons, Ltd., vol. 35(5), pages 688-715, July.
    19. Valentina Cueva-López & María José Olmo-Jiménez & José Rodríguez-Avi, 2021. "An Over and Underdispersed Biparametric Extension of the Waring Distribution," Mathematics, MDPI, vol. 9(2), pages 1-15, January.
    20. Shi Shan & Guohua Jiang & Lan Jiang, 2004. "The multivariate Waring distribution and its application," Scientometrics, Springer;Akadémiai Kiadó, vol. 60(3), pages 523-535, August.

    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:gam:jmathe:v:8:y:2020:i:11:p:2025-:d:444708. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.