The organic food market has become an important part of food industry. We
analyze sales data from Austria for 2014 to 2020 of 124 products from 25
product groups in six categories, each in conventional and organic form. We
fitted their market shares by means of a modified Lotka-Volterra model with
constant coefficients. When only organic and conventional products were
compared, a significant increase in market shares was observed for 15 of 25
organic product groups, indicating a continuing growth of the organic food
market. The typical Lotka-Volterra dynamics was a predator-prey dynamics with
an organic product (group) predating on conventional products that were in
symbiosis.
References
[1]
Eyhorn, F., Muller, A., Reganold, J.P., Frison, E., Herren, H.R., Luttikholt, L., Mueller, A., Sanders, J., El-Hage Scialabba, N., Seufert, V. and Smith P. (2019) Sustainability in Global Agriculture Driven by Organic Farming. Nature Sustainability, 2, 253-255. https://doi.org/10.1038/s41893-019-0266-6
[2]
Willer, H., Travnicek, J., Meier, C. and Schlatter, B. (2021) The World of Organic Agriculture—Statistics and Emerging Trends 2021. Research Institute of Organic Agriculture, Frick. https://www.fibl.org/en/shop-en/1150-organic-world-2021
[3]
European Union (2007) Council Regulation 834/2007 on Organic Production and Labelling of Organic Products. European Union, Brussels.
[4]
Götze, F., Mann, S., Ferjani, A., Kohler, A. and Heckelei, T. (2016) Explaining Market Shares of Organic Food: Evidence from Swiss Household Data. British Food Journal, 118, 931-945. https://doi.org/10.1108/BFJ-09-2015-0318
[5]
AMA (2020) Roll AMA Haushaltspanel. Agrarmarkt Austria Marketing GmbH, Vienna.
[6]
Wang, W. and Yildirim, G. (2022) Applied Time-Series Analysis in Marketing. In: Homburg, C., Klarmann, M. and Vomberg A., Eds., Handbook of Market Research, Springer, Cham, 469-513.
[7]
Papke, L.E. and Wooldridge, J.M. (1996) Econometric Methods for Fractional Response Variables with an Application to 401(k) Plan Participation Rates. Journal of Applied Econometrics, 11, 619-632.
[8]
Agresti, A. (2013) Categorical Data Analysis. 3rd Edition, John Wiley & Sons, Hoboken, NJ.
[9]
Marasco, A., Picucci, A. and Romano, A. (2016) Market Share Dynamics Using Lotka-Volterra Models. Technological Forecasting and Social Change, 105, 49-62. https://doi.org/10.1016/j.techfore.2016.01.017
[10]
Marasco, A., Picucci, A. and Romano, A. (2016) Determining Firms’ Utility Functions and Competitive Roles from Data on Market Shares Using Lotka-Volterra Models. Data in Brief, 7, 709-713. https://doi.org/10.1016/j.dib.2016.03.020
[11]
Ziegler, A.M., Brunner, N. and Kühleitner, M. (2020) The Markets of Green Cars of Three Countries: Analysis Using Lotka-Volterra and Bertalanffy-Pütter Models. Journal of Open Innovation: Technology, Market and Complexity, 6, Article No. 67. https://doi.org/10.3390/joitmc6030067
[12]
Anderson, T.W. and Darling, D.A. (1952) Asymptotic Theory of Certain “Goodness-of-Fit” Criteria Based on Stochastic Processes. Annals of Mathematical Statistics, 23, 193-212. https://doi.org/10.1214/aoms/1177729437
[13]
Wolfram Research (2021) Mathematica, Version 13.0. Wolfram Research Inc., Champaign, IL. https://www.wolfram.com/mathematica/
[14]
Bryła, P. (2018) Organic Food Online Shopping in Poland. British Food Journal, 120, 1015-1027. https://doi.org/10.1108/BFJ-09-2017-0517
[15]
Romano, A. (2016) A Study of Tourism Dynamics in Three Italian Regions Using a Nonautonomous Integrable Lotka-Volterra Model. PLoS ONE, 11, e0162559. https://doi.org/10.1371/journal.pone.0162559
[16]
Marasco, A. and Romano, A. (2018) Inter-Port Interactions in the Le Havre-Hamburg Range: A Scenario Analysis Using a Nonautonomous Lotka Volterra Model. Journal of Transport Geography, 69, 207-220. https://doi.org/10.1016/j.jtrangeo.2018.04.018
[17]
Sotis, C. (2021) How Do Google Searches for Symptoms, News and Unemployment Interact during COVID-19? A Lotka-Volterra Analysis of Google Trends Data. Quality and Quantity, 55, 2001-2016. https://doi.org/10.1007/s11135-020-01089-0
[18]
Stolz, H., Stolze, M., Hamm, U., Janssen, M. and Ruto, E. (2011) Consumer Attitudes towards Organic versus Conventional Food with Specific Quality Attributes. Wageningen Journal of Life Sciences, 58, 67-72.
[19]
Velčovská, Š. and Sadílek, T. (2015) Certification of Cheeses and Cheese Products Origin by EU Countries. British Food Journal, 117, 1843-1858. https://doi.org/10.1108/BFJ-10-2014-0350
