Improvement of crop production planning in Ukraine using the Cobb-Douglas production function
The relevance of the study is conditioned by the need to improve the process of planning the crop production by agricultural enterprises of Ukraine through the construction of a functional relationship between the results of production activities of enterprises and the factors that determine these results. The purpose of the study is to improve the process of planning crop production by agricultural enterprises of Ukraine through the development of an econometric model in the form of a Cobb-Douglas production function. To model the processes of crop production, it is proposed to use the Cobb-Douglas production function, which describes the dependence of the crop production index on the indices of agricultural land acreage and labour productivity. Based on statistical information for 1996-2020, unknown parameters of the Cobb-Douglas production function were found by regression analysis. The high quality of the constructed model is substantiated. High predictive properties of the model are proved. To analyse the efficiency of resource use in crop production by agricultural enterprises, the coefficients of average, marginal products of labour and capital are calculated. The sensitivity of crop production to changes in crop areas and labour productivity is investigated. It is determined that if the index of agricultural areas is increased by 1%, the index of crop production will increase by 0.77%; and if the index of labour productivity is increased by 1%, the index of crop production will increase by 0.81%. An increasing return on the scale of resources spent is revealed, which indicates an increase in production volumes with an increase in the volume of resources in the crop production industry
[1] Dolhikh, V.M. (2013). Non-parametric estimates of the efficiency of the Ukrainian banking system in 2005-2012. Visnyk of the National Bank of Ukraine, 2, 29-35.
[2] Bogetoft, P., & Otto, L. (2011). Benchmarking with DEA, SFA, and R. London: Springer.
[3] Krivonozhko, V. E., & Lychev, A. V. (2010). Analysis of the activities of complex socio-economic systems. Мoskow: Maks Press.
[4] Akhundov, V.J. (2022). Application of the fuzzy Cobb-Douglas model to predict the final product of the region. In 11th International conference on theory and application of soft computing, computing with words and perceptions and artificial intelligence − ICSCCW-2021 (pp. 545-551). Cham: Springer. doi: 10.1007/978-3-030-92127-9_73.
[5] Cysneiros, F.J.A., Leiva, V., & Liu, S., Marchant, C., & Scalco, P. (2019). A cobb-douglas type model with stochastic restrictions: Formulation, local influence diagnostics and data analytics in economics. Qual Quant, 53, 1693-1719. doi: 10.1007/s11135-018-00834-w.
[6] Smirnov, R.G., Wang, K., & Wang, Z. (2022). The Cobb-Douglas production function for an exponential model. In Advances in econometrics, operational research, data science and actuarial studies (pp. 1-12). Cham: Springer. doi: 10.1007/978-3-030-85254-2_1.
[7] Hadush, M. (2018). The response of farm labor and farm production to animal grazing and water resource scarcity in Northern Ethiopia. Agricultural and Resource Economics. International Scientific E-Journal, 4(4), 5-19
[8] Yang, Y., Yang, L., & Liu, S. (2020). Analysis of agricultural economic growth factors based on Cobb Douglas production. E3S Web of Conferences, 189, article number 01002. doi: 10.1051/e3sconf/202018901002.
[9] Kuzub, M., Zadniprovsky, O., Romashko, O., Avhustova, О., & Shushakova, I. (2022). Comparative analysis of Ukrainian and European accounting standards. Scientific Horizons, 25(1), 96-103. doi: 10.48077/ scihor.25(1).2022.96-103.
[10] Hrabovetskyi, B.Ye. (2016). Use of production functions as a means of improving the management of sugar beet enterprises. Scientific Bulletin of Uzhhorod University, 8(1), 49-54.
[11] Hrabovetskyi, B.Ye. (2006). Production functions: Theory, construction, use in production management. Vinnytsia: UNIVERSUM-Vinnytsia.
[12] Hrabovetskyi, B.Ye. (2013). Economic and statistical models and methods: Theoretical and applied aspects. Vinnytsia: VNTU.
[13] Fomina, O.O., Hoholieva, N.F. & Labuzova, Yu.H. (2019). Ukraine on the path of economic growth. Biznes Inform, 10, 8-16.
[14] Kharazishvili, Yu.M., & Liashenko, V.I. (2021). Taking into account innovative factors of economic growth in the Cobb-Douglas production function (on the example of old industrial regions of Ukraine). Economy of Industry, 1, 5-19.
[15] Shumska, S.S. (2007). Production function in economic analysis: Theory and practice of use. Economics and Forecasting, 2, 138-153.
[16] Shumska, S.S. (2007). The tool of the production function in the study of the Ukrainian economy. Economics and Forecasting, 4, 104-123.
[17] Yankovyi, V.O. (2017). Methodological problems of modeling the growth factors of the enterprise on the basis of production functions. Uzhorod National University Herald. International Economic Relations and World Economy, 11, 194-198.
[18] Gobb, C.W., & Duaglas, P. H. (1928). Theory of production. American Economic Review, 18(1), 139-165.
[19] Zadorozhna, N.V. (2003). Microeconomic theory of production and costs. Kyiv: KNEU.
[20] Official webcite of State Statistics Service of Ukraine. (n.d.). Agricultural production indices (1991-2009). Retrieved from http://ukrstat.gov.ua.
[21] Prokopenko, O. (Ed.) (2021). Agriculture of Ukraine. Kyiv: Derzhstat Ukrainy.
[22] Official webcite of State Statistics Service of Ukraine. (n.d.). Crop production (1990-2020). Retrieved from http://ukrstat.gov.ua.
[23] Official webcite of State Statistics Service of Ukraine. (n.d.). Labor productivity (1990-2009). Retrieved from http://ukrstat.gov.ua.
[24] Official webcite of State Statistics Service of Ukraine. (n.d.). Labor productivity (2010-2020). Retrieved from http://ukrstat.gov.ua.
[25] Bushin, P.Ja. (2013). Econometrics. In Time series analysis (рp. 90-96). Habarovsk: RIC HGAJeP.