Bashchenko, M. I., Boiko, O. V., Honchar, O. F., Sotnichenko, Y. M., Lesyk, Y. V., Iskra, R. Y., and Gutyj, B. V.: Peculiarities of growth and further productivity of purebred and crossbred cows, Regul. Mech. Biosyst., 14, 118–124, https://doi.org/10.15421/022318, 2023.
Beltran, J. J., Butts, W. T., Olson, T. A., and Koger, M.: Growth patterns of two lines of Angus cattle selected using predicted growth parameters, J. Anim. Sci., 70, 734–741, https://doi.org/10.2527/1992.703734x, 1992.
Benak, S., Bobić, T., Gantner, V., Eman, D., Gregić, M., Aračić, A., Stainer, Z., and Bilandžija, K.: The differences in production of Holstein Friesian and Holstein Friesian
× Norwegian Red F1 crossbreeds, Mljekarstvo, 70, 284–291, https://doi.org/10.15567/mljekarstvo.2020.0406, 2020.
Borshch, O. O., Ruban, S., Borshch, O. V., Malina, V., Fedorchenko, M., Kosior, L., and Korol-Bezpala, L.: Productivity, milk composition and reasons for leaving the herds of Ukrainia
n local cows and their crossbreeds with Brown Swiss and Montbeliarde breeds during five lactations, Roczniki Nauk. Zootech., 48, 205–216, 2021.
Budimulyati, L. S., Noor, R. R., Saefuddin, A., and Talib, C.: Comparison on accuracy of Logistic, Gompertz, and von Bertalanffy models in predicting growth of new born calf until first mating of Friesian Holstein heifers, J. Indonesian Trop. Anim. Agric., 37, 151–160, https://doi.org/10.14710/jitaa.37.3.151-160, 2012.
Chen, D. T.: Mixed effects model in negative exponential curve, PhD thesis, The University of Texas School of Public Health, Dallas, Texas, USA,
https://digitalcommons.library.tmc.edu/dissertations/AAI9981809/ (last access: 8 December 2025), 2000.
Christensen, L. G., Barlow, R., and Neimann-Sørensen, A.: Crossbreeding Red Danish, Holstein-Friesian and Finnish Ayrshire Cattle: Performance of foundation females and traits of foundation and first-generation calves, Acta Agric. Scand., 34, 463–479, https://doi.org/10.1080/00015128409435414, 1984.
Domínguez-Viveros, J., Reyes-Cerón, A., Aguirre-Calderón, C. E., Martínez-Rocha, R., Luna-Palomera, C., and Aguilar-Palma, N.: Growth curves in purebred and crossbred Limousin cattle, Rev. Mex. Cienc. Pecu., 14, 412–422, https://doi.org/10.22319/rmcp.v14i2.6286, 2023.
Gemuh, A.: Birth Weight and Growth Rate of Bali Cattle Calf, Technium, 2, 436–441, 2020.
Gompertz, B.: XXIV. On the nature of the function expressive of the law of human mortality, and on a new mode of determining the value of life contingencies. In a letter to Francis Baily, Esq. FRS &c, Philosophical Transactions of the Royal Society of London, 115, 513–583, 1825.
Halvoník, A., Chalúpková, M., Chudej, P., Kasarda, R., and Moravčíková, N.: Evaluation of growth intensity in dairy cattle, Acta fytotechn, Zootechn., 16, 31–38, https://doi.org/10.15414/afz.2023.26.01.33-38, 2023.
Hartati, H. and Putra, W. P. B.: Predicting the growth curve of body weight in Madura cattle, Kafkas Univ. Vet. Fak. Derg., 27, 431–437, https://doi.org/10.9775/kvfd.2021.25448, 2021.
Hossein-Zadeh, N. G.: Modelling growth curve in Moghani sheep: comparison of non-linear mixed growth models and estimation of genetic relationship between growth curve parameters, J. Agric. Sci., 155, 1150–1159, https://doi.org/10.1017/S0021859617000326, 2017.
Inoue, K., Hosono, M., Oyama, H., and Hirooka, H.: Genetic associations between reproductive traits for first calving and growth curve characteristics of Japanese Black cattle, Anim. Sci. J., 91, e13467, https://doi.org/10.1111/asj.13467, 2020.
Ismirandy, A. D. L. I.: Laju pertumbuhan dan ukuran tubuh sapi bali lepas sapih yang diberi pakan konsentrat pada kategori bobot badan yang berbeda, undergraduate thesis, Skripsi, Universitas Islam Negeri Alauddin, Makassar, 1–105,
https://repositori.uin-alauddin.ac.id/11003/ (last access: 8 December 2025), 2018.
Júnior, R. N. C. C., Araújo, C. V. D., Silva, W. C. D., Araújo, S. I. D., Lôbo, R. B., Nakabashi, L. R. M., Castro, L. M., Menezes, F. L., Maciel E Silva, A. G., Silva, L. K. X., Silva, J. A. R. D., Barbosa, A. V. C., Marques, J. R. F., and Lourenço Júnior, J. D. B.: Mixed models in nonlinear regression for description of the growth of Nelore cattle, Animals, 13, 101, https://doi.org/10.3390/ani13010101, 2022.
Kizilkaya, K., Balcioglu, M. S., Yolcu, H. I., Karabag, K., and Genc, I. H.: Growth curve analysis using nonlinear mixed model in divergently selected Japanese quails, Arch. fur Geflugelkd., 70, 181–186, 2006.
Kozakli, Ö., Hasan, M. U., and Ceyhan, A.: The Prediction of Brody, Logistik and Von Bertalanffy Models By Using The Bayesian Approach for Modeling The Growth Curves in Holstein Calves, J. Tekirdag Agric. Fac., 19, 600–609, https://doi.org/10.33462/jotaf.1035184, 2022.
Kramarenko, A. S., Kalynycnenko, H. I., Susol, R. L., Papakina, N. S., and Kramarenko, S. S.: Principal Component Analysis of Body Weight Traits and Subsequent Milk Production in Red Steppe Breed Heifers, Proc. Latv Acad. Sci. Sect. B Nat. Exact Appl. Sci., 76, 307–313. https://doi.org/10.2478/prolas-2022-0044, 2022.
Malhado, C. H. M., Carneiro, P. L. S., Affonso, P. R. A. M., Souza Jr., A. A. O., and Sarmento, J. L. R.: Growth curves in Dorper sheep crossed with the local Brazilian breeds, Morada Nova, Rabo Largo, and Santa Inês, Small Rumin. Res., 84, 16–21, https://doi.org/10.1016/j.smallrumres.2009.04.006, 2009.
Mokhtari, M., Esmailizadeh, A., Mirmahmoudi, R., Gutierrez, J. P., and Mohebbinejad, E.: Comparison of non-linear models and genetic parameter estimation for growth curve traits in the Murciano-Granadina goat breed, Small Rumin. Res., 226, 107059, https://doi.org/10.1016/j.smallrumres.2023.107059, 2023.
Nelder, J. A.: The fitting of a generalization of the logistic curve, Biometrics, 17, 89–110, https://doi.org/10.2307/2527498, 1961.
Pedersen, J. and Christensen, L. G.: Heterosis for milk production traits by crossing Red Danish, Finnish Ayrshire and Holstein-Friesian cattle, Livest. Prod. Sci., 23, 253–266, https://doi.org/10.1016/0301-6226(89)90075-4, 1989.
Raungprim, T., Sarataphan, N., Maitreejet, W., Laodim, T., Chansomboon, C., Thongphrai, P., and Majarune, S.: Growth curves of swamp buffaloes (Bubalus b. carabanensis) under rearing in cow house, Buffalo Bull., 42, 73–80, https://doi.org/10.56825/bufbu.2023.4215356, 2023.
Richard, F. J.: A flexible growth function for empirical use, J. Exp. Bot., 10, 290–300, https://doi.org/10.1093/jxb/10.2.290, 1959.
Robison, O. W., Kelly, M. G., McDaniel, B. T., and McDowell, R. E.: Genetic Parameters of Body Size in Purebred and Crossbred Dairy Cattle, J. Dairy Sci., 63, 1887–1899, https://doi.org/10.3168/jds.S0022-0302(80)83156-0, 1980.
Ruban, S., Danshyn, V., Matvieiev, M., Borshch, O. O., Borshch, O. V., and Korol-Bezpala, L.: Characteristics of lactation curve and reproduction in dairy cattle, Acta Univers. Agricul. Silvicult. Mendel. Brun., 70, 373–381, https://doi.org/10.11118/actaun.2022.028, 2022.
Ruban, S., Merzlov, S., Matvieiev, M., Borshch, O. V., Borshch, O. O., Bilkevich, V., Lykhach, V., Fedorchenko, M., and Bondarenko, L.: Amino acid composition of milk from Finnish Ayrshire cows and their crossbreeds with the Norwegian Red breed, Agron. Res., 21, 897–906, https://doi.org/10.15159/AR.23.096, 2023.
Sakar, Ç. M., Koncagül, S., and Ünal, İ.: Identification of Best Growth Curve Model for Anatolian Black Cattle, Slov. Vet. Res., 60, 195–203, https://doi.org/10.26873/SVR-1695-2023, 2023.
Soysal, M. İ., Uğur, F., Gürcan, K., and Bağcı, H.: Siyah alaca sığırlarda canlı ağırlık ve çeşitli vücut ölçüleri ile yaş ilişkisinin bazı doğrusal ve doğrusal olmayan denklemlerinin açıklanmasıüzerine bir araştırma, Trakya Üniv. Ziraat. Fak. Derg., 1, 33–39, 2001.
SSSU: State Statistics Service of Ukraine,
http://www.ukrstat.gov.ua (last access: 24 May 2024), 2024.
Stavetska, R., Babenko, O., Starostenko, I., and Cherniak, S.: Main trends of dairy industry in Ukraine, Bulg. J. Agric. Sci., 28, 14–20, 2022.
Tutkun, M.: Growth curve prediction of Holstein-Fresian bulls using different non-linear model functions, Appl. Ecol. Env. Res., 17, 4409–4416, https://doi.org/10.15666/aeer/1702_44094416, 2019.
Waheed, A., Khan, M. S., Ali, S., and Sarwar, M.: Estimation of growth curve parameters in Beetal goats, Arch. Anim. Breed., 54, 287–296, https://doi.org/10.5194/aab-54-287-2011, 2011.
Waiz, H. A., Gautam, L., and Waiz, S. A.: Appraisal of growth curve in Sirohi goat using non-linear growth curve models, Trop. Anim. Health Prod., 51, 1135–1140, https://doi.org/10.1007/s11250-018-01794-x, 2019.
Weigel, K., VanRaden, P., Norman, H., and Grosu, H.: A 100-Year Review: Methods and impact of genetic selection in dairy cattle – From daughter-dam comparisons to deep learning algorithms, J. Dairy Sci., 100, 10234–10250, https://doi.org/10.3168/jds.2017-12954, 2017.
Yıldız, G., Soysal, M.İ., and Gürcan, E. K.: Determination of Growth Curve with Different Model in the Karacabey Merinos
× Kıvırcık Crossbred Lambs Raised in Tekirdağ Provinces, J. Tekirdag Agric. Fac., 6, 11–19, 2009.
