Optimal plot size in the evaluation of papaya scions: proposal and comparison of methods

Celanti, Humberto Felipe; Schmildt, Edilson Romais; Schmildt, Omar; Alexandre, Rodrigo Sobreira; Cattaneo, Laercio Francisco

doi:10.1590/0034-737X201663040006

Acessibilidade / Reportar erro

Brasil
SciELO.org - Rede SciELO
Blog SciELO em Perspectiva

Abrir menu

Brasil

Español English

Revista Ceres

Submissão de manuscritos
Sobre o periódico
Corpo Editorial
Instruções aos autores
Contato

sumário « anterior atual seguinte »

Resumo (Inglês)
Resumo (Português)

Texto (Inglês)

Download PDF (Inglês)

Compartilhe

Compartilhe
E-mail
Facebook
Twitter
Google+
LinkedIn
Reddit
StambleUpon
CiteULike
Mendeley

Sumário

Compartilhe
E-mail
Facebook
Twitter
Google+
LinkedIn
Reddit
StambleUpon
CiteULike
Mendeley

Resumo (Inglês)
Resumo (Português)

Texto (Inglês)

Download PDF (Inglês)

Statistics • Rev. Ceres 63 (4) • Jul-Aug 2016 • https://doi.org/10.1590/0034-737X201663040006 copy

Optimal plot size in the evaluation of papaya scions: proposal and comparison of methods^¹ This paper is part of the Master's dissertation of the first author.

Tamanho ótimo de parcela na avaliação de mudas de mamoeiro: proposta e comparação de métodos

Authorship SCIMAGO INSTITUTIONS RANKINGS

ABSTRACT

Evaluating the quality of scions is extremely important and it can be done by characteristics of shoots and roots. This experiment evaluated height of the aerial part, stem diameter, number of leaves, petiole length and length of roots of papaya seedlings. Analyses were performed from a blank trial with 240 seedlings of "Golden Pecíolo Curto". The determination of the optimum plot size was done by applying the methods of maximum curvature, maximum curvature of coefficient of variation and a new proposed method, which incorporates the bootstrap resampling simulation to the maximum curvature method. According to the results obtained, five is the optimal number of seedlings of papaya "Golden Pecíolo Curto" per plot. The proposed method of bootstrap simulation with replacement provides optimal plot sizes equal or higher than the maximum curvature method and provides same plot size than maximum curvature method of the coefficient of variation.

Key words:
Carica papaya L; experimental design; experimental precision

Authorship

Humberto Felipe Celanti

Universidade Federal do Espírito Santo, Centro Universitário Norte do Espírito Santo, Laboratório de Melhoramento de Plantas, São Mateus, Espírito Santo, Brazil. humbertocelanti@hotmail.comUniversidade Federal do Espírito SantoBrazilSão Mateus, Espírito Santo, BrazilUniversidade Federal do Espírito Santo, Centro Universitário Norte do Espírito Santo, Laboratório de Melhoramento de Plantas, São Mateus, Espírito Santo, Brazil. humbertocelanti@hotmail.com

Edilson Romais Schmildt ^**Corresponding author: e.romais.s@gmail.com

Universidade Federal do Espírito Santo, Centro Universitário Norte do Espírito Santo, Departamento de Ciências Agrárias e Biológicas, São Mateus, Espírito Santo, Brazil. e.romais.s@gmail.com;omar-schmildt@ig.com.brUniversidade Federal do Espírito SantoBrazilSão Mateus, Espírito Santo, Brazil Universidade Federal do Espírito Santo, Centro Universitário Norte do Espírito Santo, Departamento de Ciências Agrárias e Biológicas, São Mateus, Espírito Santo, Brazil. e.romais.s@gmail.com;omar-schmildt@ig.com.br

Omar Schmildt

Rodrigo Sobreira Alexandre

Universidade Federal do Espírito Santo, Centro de Ciências Agrárias e Exatas, Departamento de Ciências Florestais e da Madeira, Jerônimo Monteiro, Espírito Santo, Brazil. rodrigosobreiraalexandre@gmail.comUniversidade Federal do Espírito SantoBrazilJerônimo Monteiro, Espírito Santo, Brazil Universidade Federal do Espírito Santo, Centro de Ciências Agrárias e Exatas, Departamento de Ciências Florestais e da Madeira, Jerônimo Monteiro, Espírito Santo, Brazil. rodrigosobreiraalexandre@gmail.com

Laercio Francisco Cattaneo

Instituto Capixaba de Pesquisa, Assistência Técnica e Extensão Rural, Linhares, Espírito Santo, Brazil. lfcattaneo@hotmail.comInstituto Capixaba de PesquisaBrazilLinhares, Espírito Santo, Brazil Instituto Capixaba de Pesquisa, Assistência Técnica e Extensão Rural, Linhares, Espírito Santo, Brazil. lfcattaneo@hotmail.com

*Corresponding author: e.romais.s@gmail.com

This paper is part of the Master's dissertation of the first author.

SCIMAGO INSTITUTIONS RANKINGS

Figures | Tables

Figures (5)
Tables (2)

Thumbnail

Figure 1:
Relationship between coefficient of variation (CV) and size of the designed plot, in UEB and estimates of the optimum size of the plot (X₀) by three methods using the trait height of seedlings of papaya (Carica papaya L.) cv. Golden Pecíolo Curto in a trial for uniformity with 240 BEU. Methods: A - maximum curvature according to Meier and Lessman (1971Meier VD & Lessman KJ (1971) Estimation of optimum Field plot shape and size for testing yield in Crambe abyssinica Hochst. Crop Science, 11:648-650. ); maximum curvature of coefficient of variation according to Paranaíba et al. (2009Paranaíba PF, Ferreira DF & Morais AR (2009) Tamanho ótimo de parcelas experimentais: proposição de métodos de estimação. Revista Brasileira de Biometria, 27:255-268.); C - maximum curvature according to Meier and Lessman (1971) using bootstrap simulation.

Thumbnail

Figure 2:
Relationship between coefficient of variation (CV) and size of the designed plot, in BEU and estimates of the optimum size of the plot (X₀) by three methods using the trait stem diameter of papaya seedlings (Carica papaya L.) cv. Golden Pecíolo Curto in a trial for uniformity with 240 UEB. Methods: A - maximum curvature according to Meier and Lessman (1971Meier VD & Lessman KJ (1971) Estimation of optimum Field plot shape and size for testing yield in Crambe abyssinica Hochst. Crop Science, 11:648-650. ); maximum curvature of coefficient of variation according to Paranaíba et al. (2009Paranaíba PF, Ferreira DF & Morais AR (2009) Tamanho ótimo de parcelas experimentais: proposição de métodos de estimação. Revista Brasileira de Biometria, 27:255-268.); C - maximum curvature according to Meier and Lessman (1971) using bootstrap simulation.

Thumbnail

Figure 3:
Relationship between coefficient of variation (CV) and size of the designed plot, in BEU and estimates of the optimum size of the plot (X₀) by three methods using the trait number of leaves papaya tree plantlet (Carica papaya L.) cv. Golden Pecíolo Curto in a trial for uniformity with 240 UEB. Methods: A - maximum curvature according to Meier and Lessman (1971Meier VD & Lessman KJ (1971) Estimation of optimum Field plot shape and size for testing yield in Crambe abyssinica Hochst. Crop Science, 11:648-650. ); maximum curvature of coefficient of variation according to Paranaíba et al. (2009Paranaíba PF, Ferreira DF & Morais AR (2009) Tamanho ótimo de parcelas experimentais: proposição de métodos de estimação. Revista Brasileira de Biometria, 27:255-268.); C - maximum curvature according to Meier and Lessman (1971) using bootstrap simulation.

Thumbnail

Figure 4:
Relationship between coefficient of variation (CV) and size of the designed plot, in BEU and estimates of the optimum size of the plot (X₀) by three methods using the trait length of petiole of papaya seedlings (Carica papaya L.) cv. Golden Pecíolo Curto in a trial for uniformity with 240 BEU. Methods: A - maximum curvature according to Meier and Lessman (1971Meier VD & Lessman KJ (1971) Estimation of optimum Field plot shape and size for testing yield in Crambe abyssinica Hochst. Crop Science, 11:648-650. ); maximum curvature of coefficient of variation according to Paranaíba et al. (2009Paranaíba PF, Ferreira DF & Morais AR (2009) Tamanho ótimo de parcelas experimentais: proposição de métodos de estimação. Revista Brasileira de Biometria, 27:255-268.); C - maximum curvature according to Meier and Lessman (1971) using bootstrap simulation.

Thumbnail

Figure 5:
Relationship between coefficient of variation (CV) and size of designed plot, in BEU and estimates of the optimum plot size (X₀) by means of three methods, using the trait length of the longest root of papaya tree plantlet (Carica papaya L.) cv. Golden Pecíolo Curto in an uniformity trial with 240 BEU. Methods: A - maximum curvature according to Meier and Lessman (1971Meier VD & Lessman KJ (1971) Estimation of optimum Field plot shape and size for testing yield in Crambe abyssinica Hochst. Crop Science, 11:648-650. ); maximum curvature of coefficient of variation according to Paranaíba et al. (2009Paranaíba PF, Ferreira DF & Morais AR (2009) Tamanho ótimo de parcelas experimentais: proposição de métodos de estimação. Revista Brasileira de Biometria, 27:255-268.); C - maximum curvature according to Meier and Lessman (1971) using bootstrap simulation.

Thumbnail

Table 1:
Size of the designed plot (X_i = WRxBR), in basic experimental units (BEU), plot shape (WR = within the row; BR = between rows) and total number of plots for the several clustering in blank trial of papaya seedlings (Carica papaya L.) cv. Golden Pecíolo Curto, in a greenhouse in the municipality of São Mateus, ES

Thumbnail

Table 2:
Estimates of means (m), coefficient of variation (CV), spatial autocorrelation coefficient of the first order

and heterogeneity index (b) obtained by different methods using height (SH), stem diameter (SD), number of leaves (NL), petiole length (PL) and length of the longest root (LLR) of 240 seedlings of papaya (Carica papaya L.) cv. Golden Peciolo Curto produced in a greenhouse

Figure 1: Relationship between coefficient of variation (CV) and size of the designed plot, in UEB and estimates of the optimum size of the plot (X₀) by three methods using the trait height of seedlings of papaya (Carica papaya L.) cv. Golden Pecíolo Curto in a trial for uniformity with 240 BEU. Methods: A - maximum curvature according to Meier and Lessman (1971Meier VD & Lessman KJ (1971) Estimation of optimum Field plot shape and size for testing yield in Crambe abyssinica Hochst. Crop Science, 11:648-650. ); maximum curvature of coefficient of variation according to **Paranaíba et al. (2009**Paranaíba PF, Ferreira DF & Morais AR (2009) Tamanho ótimo de parcelas experimentais: proposição de métodos de estimação. Revista Brasileira de Biometria, 27:255-268.); C - maximum curvature according to Meier and Lessman (1971) using bootstrap simulation.

Figure 2: Relationship between coefficient of variation (CV) and size of the designed plot, in BEU and estimates of the optimum size of the plot (X₀) by three methods using the trait stem diameter of papaya seedlings (Carica papaya L.) cv. Golden Pecíolo Curto in a trial for uniformity with 240 UEB. Methods: A - maximum curvature according to Meier and Lessman (1971Meier VD & Lessman KJ (1971) Estimation of optimum Field plot shape and size for testing yield in Crambe abyssinica Hochst. Crop Science, 11:648-650. ); maximum curvature of coefficient of variation according to **Paranaíba et al. (2009**Paranaíba PF, Ferreira DF & Morais AR (2009) Tamanho ótimo de parcelas experimentais: proposição de métodos de estimação. Revista Brasileira de Biometria, 27:255-268.); C - maximum curvature according to Meier and Lessman (1971) using bootstrap simulation.

Figure 3: Relationship between coefficient of variation (CV) and size of the designed plot, in BEU and estimates of the optimum size of the plot (X₀) by three methods using the trait number of leaves papaya tree plantlet (Carica papaya L.) cv. Golden Pecíolo Curto in a trial for uniformity with 240 UEB. Methods: A - maximum curvature according to Meier and Lessman (1971Meier VD & Lessman KJ (1971) Estimation of optimum Field plot shape and size for testing yield in Crambe abyssinica Hochst. Crop Science, 11:648-650. ); maximum curvature of coefficient of variation according to **Paranaíba et al. (2009**Paranaíba PF, Ferreira DF & Morais AR (2009) Tamanho ótimo de parcelas experimentais: proposição de métodos de estimação. Revista Brasileira de Biometria, 27:255-268.); C - maximum curvature according to Meier and Lessman (1971) using bootstrap simulation.

Figure 4: Relationship between coefficient of variation (CV) and size of the designed plot, in BEU and estimates of the optimum size of the plot (X₀) by three methods using the trait length of petiole of papaya seedlings (Carica papaya L.) cv. Golden Pecíolo Curto in a trial for uniformity with 240 BEU. Methods: A - maximum curvature according to Meier and Lessman (1971Meier VD & Lessman KJ (1971) Estimation of optimum Field plot shape and size for testing yield in Crambe abyssinica Hochst. Crop Science, 11:648-650. ); maximum curvature of coefficient of variation according to **Paranaíba et al. (2009**Paranaíba PF, Ferreira DF & Morais AR (2009) Tamanho ótimo de parcelas experimentais: proposição de métodos de estimação. Revista Brasileira de Biometria, 27:255-268.); C - maximum curvature according to Meier and Lessman (1971) using bootstrap simulation.

Figure 5: Relationship between coefficient of variation (CV) and size of designed plot, in BEU and estimates of the optimum plot size (X₀) by means of three methods, using the trait length of the longest root of papaya tree plantlet (Carica papaya L.) cv. Golden Pecíolo Curto in an uniformity trial with 240 BEU. Methods: A - maximum curvature according to Meier and Lessman (1971Meier VD & Lessman KJ (1971) Estimation of optimum Field plot shape and size for testing yield in Crambe abyssinica Hochst. Crop Science, 11:648-650. ); maximum curvature of coefficient of variation according to **Paranaíba et al. (2009**Paranaíba PF, Ferreira DF & Morais AR (2009) Tamanho ótimo de parcelas experimentais: proposição de métodos de estimação. Revista Brasileira de Biometria, 27:255-268.); C - maximum curvature according to Meier and Lessman (1971) using bootstrap simulation.

Table 1: Size of the designed plot (X_i = WRxBR), in basic experimental units (BEU), plot shape (WR = within the row; BR = between rows) and total number of plots for the several clustering in blank trial of papaya seedlings (Carica papaya L.) cv. Golden Pecíolo Curto, in a greenhouse in the municipality of São Mateus, ES

Table 2: Estimates of means (m), coefficient of variation (CV), spatial autocorrelation coefficient of the first order and heterogeneity index (b) obtained by different methods using height (SH), stem diameter (SD), number of leaves (NL), petiole length (PL) and length of the longest root (LLR) of 240 seedlings of papaya (Carica papaya L.) cv. Golden Peciolo Curto produced in a greenhouse

^*
¹⁾ Statistics obtained from a total of 240 seedlings individually assessed.
^*
²⁾ b was obtained by the method of Smith (1938Smith HF (1938) An empirical law describing heterogeneity in the yields of agricultural crops. Journal of Agricultural Science, 28:01-23.).
^*
³⁾ Method: ML - maximum curvature according to Meier and Lessman (1971Meier VD & Lessman KJ (1971) Estimation of optimum Field plot shape and size for testing yield in Crambe abyssinica Hochst. Crop Science, 11:648-650. ); P - maximum curvature of coefficient of variation according to et al); MLboot - maximum curvature methods, according to Meier and Lessman (1971) by using bootstrap simulation.

How to cite

copy

Universidade Federal de Viçosa Av. Peter Henry Rolfs, s/n, 36570-000 Viçosa, Minas Gerais Brasil, Tel./Fax: (55 31) 3612-2078 - Viçosa - MG - Brazil
E-mail: ceres@ufv.br

Acompanhe os números deste periódico no seu leitor de RSS

Versão para download de PDF

PDF

Inglês

Versões e tradução automática

Versão original do texto

English

Tradução automática

Google Translator
Microsoft Translator

Como citar

RIS

BIBTEX

Outros formatos de citação e exportação:

SciELO - Scientific Electronic Library Online
Rua Dr. Diogo de Faria, 1087 – 9º andar – Vila Clementino 04037-003 São Paulo/SP - Brasil
E-mail: scielo@scielo.org