ABSTRACT This study aimed to evaluate the use of the product of thermal efficiency and photosynthetically active radiation (TEP) to model the growth of tomato seedlings across different growing seasons. The work was conducted in a completely randomized design with four replicates in two seasons (summer/autumn and winter/spring). Height, diameter, the Dickson’s Quality Index (DQI), and total plant mass (TPM) were measured at 15, 20, 25, 30, 35 and 40 days after sowing (DAS). The logistic model was fitted for each measured variable as a function of TEP, and the partial derivatives of the fitted function estimated the critical points. The results demonstrated that the logistic function effectively explained the nonlinear relationships of seedling growth. The fit quality parameters showed high fitted coefficients of determination and low values for the standard error of fit, residual standard deviation, and intrinsic and parametric nonlinearity. It was possible to characterize the growth process of tomato seedlings in both growth periods investigated. The logistic model fitted for the studied variables as a function of TEP becomes an accurate model capable of describing growth aspects of tomato seedlings, such as growth estimation, growth speed, and growth rate, essential parameters for decision-making in tomato cultivation. (TEP summer/autumn summerautumn summer autumn winter/spring. winterspring winter/spring . winter spring winter/spring) Height diameter Dicksons Dickson s DQI, DQI , (DQI) TPM (TPM 15 20 25 30 3 4 DAS. DAS (DAS) points deviation nonlinearity investigated estimation speed rate decisionmaking decision making cultivation (DQI 1 2 (DAS

RESUMO: A cultura da cenoura se destaca no cenário mundial por suas características nutricionais e importância econômica, aspecto que demanda o constante desenvolvimento de pesquisas visando maior produtividade. Assim, o objetivo deste trabalho foi propor um plano experimental, determinando as estimativas de tamanho de parcela, tamanho de amostra e número de repetições, com a finalidade de aumentar a precisão e confiabilidade dos resultados dos experimentos com a cultura da cenoura. Foram conduzidos seis ensaios de uniformidade, utilizando três cultivares em duas safras (Safra: 2019 e 2021). Cada planta foi considerada uma unidade experimental básica e em cada BEU foram medidas as variáveis altura da parte aérea, comprimento da raiz, massa fresca da parte aérea, massa fresca da raiz e diâmetro da raiz. O tamanho da parcela, da amostra e o número de repetições foram estimados pelo método da máxima curvatura do coeficiente de variação. Os resultados recomendam que para experimentos com a cultura da cenoura sejam utilizadas parcelas com doze plantas. Para amostragem de plantas de cenoura na parcela, devem ser utilizadas amostras de onze plantas no sentido da linha, considerando uma semi-amplitude do intervalo de confiança (D%) igual a 20% da média, com nível de confiança de 95%. Para uma diferença mínima significativa no teste de Tukey expressa em porcentagem da média de 50%, recomendam-se parcelas de doze plantas por fileira de cultivo, com oito repetições. RESUMO econômica produtividade Assim parcela uniformidade Safra (Safra 201 2021. 2021 . 2021) aérea variação linha semiamplitude semi amplitude D% D (D% 20 95 95% 50 50% recomendamse cultivo 202 (D 2 9 5

ABSTRACT: The carrotculture stands out on the world stage due to its nutritional characteristics and economic importance, an aspect that demands the constant development of research aiming greater productivity. Thus, this study proposed an experimental plan, determining the estimates of plot size, sample size, and number of repetitions, with the purpose of increasing the precision and reliability of the results of the experiments with the carrot crop. Six uniformity trials were conducted, using three cultivars in two growing seasons (Season: 2019 and 2021).Each plant was considered a basic experimental unit and in each BEU, the variables shoot height, root length, shoot fresh mass, root fresh mass, and root diameter were measured. The size of the plot, sample, and the number of repetitions was estimated by the method of maximum curvature of the coefficient of variation. The results recommend that for experiments with the carrot crop, plots with twelve plants should be used. For a sampling of carrot plants in the plot, samples of eleven plants must be used in the direction of the row, considering a semi-amplitude of the confidence interval (D%) equal to 20% of the mean, with a confidence level of 95%. For a minimum significant difference in the Tukey test expressed as a percentage of the 50% mean, plots of twelve plants per crop row, with eight replicates, are recommended. ABSTRACT importance productivity Thus plan conducted Season (Season 201 2021.Each 2021Each Each 2021 .Each BEU height length mass measured variation row semiamplitude semi amplitude D% D (D% 20 mean 95 95% 50 replicates recommended 202 (D 2 9 5

RESUMO: O objetivo deste trabalho foi avaliar as relações entre os caracteres biométricos de mudas de tomate com os caracteres de produção obtidos ao final do ciclo da cultura, para determinar como a qualidade das mudas interfere na produtividade do tomate. O experimento foi conduzido em duas épocas de cultivo, em delineamento inteiramente casualizado, com quatro repetições e a unidade experimental composta por cinco plantas. Os tratamentos foram constituídos por mudas com diferentes idades, diferenciadas pelos dias após a semeadura (DAS): (15, 20, 25, 30, 35 e 40 DAS). Após cada avaliação das mudas, eram transplantadas para o local de produção definitivo, sendo avaliadas até o final do ciclo. Avaliaram-se os caracteres biométricos das mudas e os caracteres da produção de frutos. Análise de correlação de Pearson e componentes principais (PCA) foram realizados para determinar as relações entre os caracteres, análise de trilha para determinar os efeitos diretos e indiretos e análise de correlações canônicas entre os grupos de caracteres. Em todas as análises realizadas, foi identificada correlação fraca entre os caracteres biométricos das mudas (que avaliam a qualidade) com os caracteres da produção de frutos de tomate em cultivo em substrato.

ABSTRACT: This study evaluated the relationships between the biometric characters of tomato seedlings with the production characters obtained at the end of the crop cycle, to determine how the quality of seedlings interferes with tomato productivity. An experiment was carried out in two growing seasons, in a completely randomized design, with four replications and the experimental unit consisting of five plants. The treatments consisted of seedlings with different ages, differentiated by the days after sowing (DAS): (15, 20, 25, 30, 35, and 40 DAS). After each evaluation of the seedlings, they were transplanted to the definitive production site, being evaluated until the end of the cycle. Biometric characters of seedlings and characters of fruit production were evaluated. Pearson correlation analysis and principal components (PCA) were performed to determine the relationships between the characters, path analysis to determine the direct and indirect effects, and analysis of canonical correlations between the groups of characters. In all analyses performed, weak correlation between the biometric characters of the seedlings (which evaluate the quality) with the characters of tomato fruit production in substrate cultivation was identified.