Comparison of five methods for calculating the optimal size of the experimental plot with sugarcane
DOI:
https://doi.org/10.29312/remexca.v15i4.3101Keywords:
estimators, experimental error, soil heterogeneityAbstract
Given the need to make efficient use of the resources allocated to experimental research in sugarcane crops, this research was proposed with the aim of determining the optimal size of the experimental plot in sugarcane crops in the Brunca region of Costa Rica. During the 2018-2019 harvest, an experimental uniformity trial was established, and five methods were compared: maximum curvature method, maximum curvature of the coefficient of variation, linear regression with constant, quadratic regression with constant and maximum distance method. The results indicate that the most efficient estimators were obtained with models that consider all sizes and forms of the uniformity trial ( ). Segmented regression and linear regression with constant models produced the best estimators of the optimal size of the experimental plot: 72.16 and 93.22 m2, respectively. With the other three methods, considerable and inconsistent differences in the sizes of the experimental plot were obtained. With the methods of maximum curvature and maximum curvature of the coefficient of variation, the results were so small: 14.01 and 12.5 m2, respectively, that they are inadequate to carry out research in sugarcane; on the contrary, with the method of maximum distance, the size obtained was 157.48 m2, statistically and economically inefficient. Therefore, the linear regression with constant and quadratic regression with constant models are appropriate for determining the experimental plot size in sugarcane. It was concluded that the recommended size to be used in the area is 72 m2. This research was completed in December 2021.
Downloads
References
Bibliografía
Álvarez, V. M. 1982. Determinación del tamaño óptimo de parcela experimental en caña de azúcar (Saccharum officinarum L.) bajo condiciones de la finca Bulbuxya. Tesis de licenciatura. Universidad de San Carlos de Guatemala. 59 p. http://biblioteca.usac.edu.gt/tesis/01/01-0639.pdf.
Barrantes-Aguilar, L. E.; González-Estrada, A.; Martínez, M. Á. y Valdivia, R. A. 2020. Modelos de regresión segmentada para estimar el tamaño óptimo de la parcela experimental con caña de azúcar. Revista Mexicana de Ciencias Agrícolas. 11(8):1763-1773. https://doi.org/10.29312/remexca.v11i8.1934.
Bartlett, M. S. 1937. Properties of sufficiency and statistical tests. Proceedings of the royal society of London. Series mathematical and physical sciences. 160(901):268-282. https://doi.org/10.1098/rspa.1937.0109.
Casler, M. D. 2015. Fundamentals of experimental design: guidelines for designing successful experiments. Agronomy Journal. 107(2):692-705. https://doi.org/10.2134/agronj2013.0114.
Cipriano, P. E.; Cogo, F. D.; Campos, K. A.; Almeida, S. L. S. y Morais, A. R. 2012. Suficiência amostral para mudas de cafeeiro cv. Rubi. Revista agrogeoambiental. 4(1):61-66. https://doi.org/10.18406/2316-1817v4n12012375.
Henriques-Neto, D. 2003. Estimativas de tamanho e forma de parcelas experimentais para avaliação do rendimento de grãos em trigo tesis doctoral, Universidad Federal de Viçosa. 151 p. https://locus.ufv.br//handle/123456789/10261.
Henriques-Neto, D.; Sediyama, T.; Alves-Souza, M.; Carvalho-Leite, L. F.; e Favaro-Blanco, F. 2009. Tamanho de parcela para avaliação da produção em trigo irrigado, sob dois sistemas de plantio. Revista Ciencia Agronomica. 40(1):86-93.
Igue, T.; Espironelo, A.; Cantarella, H. and Nelli, E. J. 1991. Tamanho e forma de parcela experimental para cana de açúcar. Bragantia. 50(1):163-180. https://doi.org/10.1590/S0006-87051991000100016.
Leite, M. S.; Peternelli, L. A. and Barbosa, M. H. 2006. Effects of plot size on the estimation of genetic parameters in sugarcane families. Cropp Breeding and Applied Biotechnology. 6(1):40-46. https://doi.org/10.12702/1984-7033.v06n01a06.
Lessman, K. J. and Atkins, R. E. 1963. Optimum plot size and relative efficiency of lattice designs for grain sorghum yield tests. Crop Science. 3(6):477-481. https://doi.org/10.2135/cropsci1963.0011183X000300060006x.
Lorentz, L. H.; Erichsen, R. y Lúcio, A. D. 2012. Proposta de método para estimação de tamanho de parcela para culturas agrícolas. Revista Ceres. 59(6):772-780. https://doi.org/10.1590/S0034-737X2012000600006.
Mahalanobis, P. C.; Bose, S. S. and Khanna, K. L. 1939. Note on the optimum shape and size of plots for sugarcane experiments in bihar. Indian Journal of Agricultural Sciences. 9(6):807-817.
Meier, V. D. and Lessman, K. J. 1971. Estimation of optimum field plot shape and size for testing yield in Crambe abyssinica Hochst. Crop Science. 11(5):648-650. https://doi.org/10.2135/cropsci1971.0011183X001100050013x.
Moreira, J. M.; Melo, A. F.; Oliveira, J. M.; Ataides, D. S.; Ribeiro, M. C. y Bortolini, J. 2016. Parcela ótima para a cultura do cafeeiro obtido por simulação de dados com variâncias conhecidas. Pubvet. 10(9):636-642. https://doi.org/10.22256/pubvet.v10n9.636-642.
Palencia, J. A. 1965. Determinación del tamaño óptimo de parcela experimental para estudios experimentales en caña de azúcar (Saccharum officinarum L.), bajo las condiciones de la estación experimental agrícola “Sabana Grande” Tesis de Licenciatura, Universidad de San Carlos de Guatemala. 42 p. http://biblioteca.usac.edu.gt/tesis/01/01-0184.pdf.
Paranaíba, P. F.; Ferreira, D. F. y Morais, A. R. 2009a. Tamanho ótimo de parcelas experimentais: Proposição de métodos de estimação. Revista Brasileira de Biometria. 27(2):255-268.
Paranaíba, P. F.; Morais, A. R. D. y Ferreira, D. F. 2009b. Tamanho ótimo de parcelas experimentais: Comparaçāo de métodos em experimentos de trigo e mandioca. Revista Brasileira de Biometria. 27(1):81-90.
Peixoto, A. P. B.; Faria, G. A. and Morais, A. R. 2011. Modelos de regressão com platô na estimativa do tamanho de parcelas em experimento de conservação in vitro de maracujazeiro. Ciência Rural. 41(11):1907-1913. https://doi.org/10.1590/s0103-84782011001100010.
R Core Team. 2019. R: A language and environment for statistical computing (3.6.1). R Foundation for Statistical Computing. https://www.R-project.org/.
Sari, B. G. and Lúcio, A. D. 2018. Uniformity trials size for estimating cherry tomato plot size. Revista Ciência Agronômica. 49(4):653-662. https://doi.org/10.5935/1806-6690.20180074.
SAS Institute. 2011. SAS/STAT user’s guide. Version 9.3. ed. Cary: SAS Institute.
Silva, R. L.; Xavier, A.; Leite, H. G. and Pires I. E. 2003. Determinação do tamanho ótimo da parcela experimental pelos métodos da máxima curvatura modificado, do coeficiente de correlação intraclasse e da análise visual em testes clonais de eucalipto. Revista Árvore. 27(5):669-676. https://doi.org/10.1590/S0100-67622003000500009.
Silva, W. C. 2014. Estimativas de tamanho ótimo de parcelas experimentais para a cultura do taro (Colocasia esculenta) Tesis doctoral, Universidad Federal de Viçosa. 59 p. https://locus.ufv.br//handle/123456789/1236.
Smith, H. F. 1938. An empirical law describing heterogeneity in the yields of agricultural crops. Journal of Agricultural Science. 28(1):1-23. https://doi.org/10.1017/S0021859600050516.
Sripathi, R.; Conaghan, P.; Grogan, D. and Casler, M. D. 2017. Field design factors affecting the precision of ryegrass forage yield estimation. Agronomy Journal, 109(3):858-869. https://doi.org/10.2134/agronj2016.07.0397.
Van-Rossum, G. y Drake, F. L. 2009. Python 3 reference manual. Scotts Valley, CA: CreateSpace.
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 Revista Mexicana de Ciencias Agrícolas
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
The authors who publish in Revista Mexicana de Ciencias Agrícolas accept the following conditions:
In accordance with copyright laws, Revista Mexicana de Ciencias Agrícolas recognizes and respects the authors’ moral right and ownership of property rights which will be transferred to the journal for dissemination in open access. Invariably, all the authors have to sign a letter of transfer of property rights and of originality of the article to Instituto Nacional de Investigaciones Forestales, Agrícolas y Pecuarias (INIFAP) [National Institute of Forestry, Agricultural and Livestock Research]. The author(s) must pay a fee for the reception of articles before proceeding to editorial review.
All the texts published by Revista Mexicana de Ciencias Agrícolas —with no exception— are distributed under a Creative Commons License Attribution-NonCommercial 4.0 International (CC BY-NC 4.0), which allows third parties to use the publication as long as the work’s authorship and its first publication in this journal are mentioned.
The author(s) can enter into independent and additional contractual agreements for the nonexclusive distribution of the version of the article published in Revista Mexicana de Ciencias Agrícolas (for example include it into an institutional repository or publish it in a book) as long as it is clearly and explicitly indicated that the work was published for the first time in Revista Mexicana de Ciencias Agrícolas.
For all the above, the authors shall send the Letter-transfer of Property Rights for the first publication duly filled in and signed by the author(s). This form must be sent as a PDF file to: revista_atm@yahoo.com.mx; cienciasagricola@inifap.gob.mx; remexca2017@gmail.
This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 International license.