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Abstract: Processes producing sigmoid curves are common in many areas such as biology, agrarian sciences, demography and engineering. Several mathematical functions have been proposed for modeling sigmoid curves. Some models such as the logistic, Gompertz, Richards and Weibull are widely used. This work introduces the Gudermannian function as an option for modeling sigmoid growth curves. The original function was transformed and the resulting equation was called the "Gudermannian growth model." This model was applied to four sets of experimental growth data to illustrate its practical application. The results were compared with those obtained by the logistic and Gompertz models. Since all these models are nonlinear in the parameters, the statistical properties of the least squares estimators were evaluated using measures of nonlinearity. For each experimental data set, the Akaike's corrected information criterion was utilized to discriminate among the models. In general, the Gudermannian model fitted better to the experimental data than the logistic and Gompertz models. The results showed that the Gudermannian model can be a good alternative to the classical sigmoid models.
ABSTRACT
ABSTRACT In order to estimate the base temperature (Bt) of growth through the appearance of leaves and calculate the phyllochron for kikuyu grass, three plots were established on three farms in the Provincia of Ubaté (Cundinamarca, Colombia) located at different altitudes (2560, 2640, 3143 m. a. s. l.). Measurements were made in four cycles in a period of eight months. The Bt was estimated by the least coefficient of variation method using a second order regression model and the model obtained was validated by the cross-validation method. The Bt values for the first, second, third and fourth leafwere 4.02, 3.68, 3.93, and 3.62 °C, respectively. For the appearance of the first leaf, the kikuyu required more thermal time (TT) (97.5 accumulated growing degree days (AGDD)) than for the second (74.2 AGDD), third (73.8 AGDD) and fourth leaf (76.0 AGDD) (p <0.05). There were no differences in TT among farms (p> 0.05). There was a tendency to a greater number of days required to reach each leaf stage in the farm located at higher altitude and with lower mean temperature. The validation showed an adequate adjustment (r2 = 0.94) and a substantial concordance (CCC = 0.97) between the observed values and the predicted values for the estimated TT with the Bt value obtained for each leaf stage. The results ofBt for kikuyu grass obtained, will allow to make more precise predictions about the phyllochron and generate growth models close to reality.
RESUMEN Con el fin de estimar la temperatura base (Tb) de crecimiento a través de la aparición de hojas y calcular el filocrono para el pasto kikuyo, se establecieron tres parcelas en tres fincas de la provincia de Ubaté (Cundinamarca, Colombia) ubicadas a diferente altitud (2560, 2640, 3143 m. s. n. m.). Se realizaron cuatro ciclos de mediciones en un tiempo total de ocho meses. La Tb se estimó por el método de mínimo coeficiente de variación utilizando un modelo de regresión de segundo grado y el modelo obtenido se validó por el método de validación cruzada. La Tb para la primera, segunda, tercera y cuarta hoja fue 4,02, 3,68, 3,93 y 3,62 °C, respectivamente. El kikuyo requirió mayor tiempo térmico (TT) para la aparición de la primera hoja (97,5 grados día de crecimiento acumulados (GDCA)) que para la segunda (74,2 GDCA), tercera (73,8 GDCA) y cuarta hoja (76,0 GDCA) (p<0,05). No hubo diferencias en el TT entre fincas (p > 0,05). Hubo tendencia a un mayor número de días calendario requeridos para alcanzar cada estado de hoja en la finca ubicada a mayor altitud y con menor temperatura media. La validación mostró un adecuado ajuste (r2 = 0,94) y una concordancia sustancial (CCC= 0,97) entre los valores observados y los valores predichos para el TT estimado con los valores de Tb obtenidos para cada estado de hoja. Los resultados de Tb de crecimiento del pasto kikuyo obtenidos permiten realizar predicciones más precisas sobre el filocrono y generar modelos de crecimiento cercanos a la realidad.
ABSTRACT
he age and growth of Pseudoplatystoma corruscans, is analyzed on specimens landed in Puerto Antequera, Province of Chaco, Argentina. The study is based on length frequency distribution of 1192 individuals and growth marks of 293 pectoral spines. Previously to age assignation based on spines readings, we performed analyses that ruled out age-associated resorption of rings and corroborated the annual periodicity of mark formation. The average sizes of the radius of each ring were obtained, and the total length of fish were back-calculated to the time of the ring formation, by the regression model fitted between the total radius of the spines to the respective sizes of each fish. Such data showed a good fitting to growth models of von Bertalanffy, Gompertz and logistic for both sexes separately. Results indicate that the study of the species growth must be carried out for each sex separately and that the fishing regulations must consider this characteristic of the species since the current management guidelines could be promoting differential capture by sexes.(AU)
En este trabajo se analiza el crecimiento y la edad del Pseudoplatystoma corruscans, a partir de ejemplares desembarcados en el Puerto Antequera, provincia de Chaco, Argentina. El estudio se basó en la distribución de frecuencias de tallas de 1192 individuos y marcas de crecimiento en 293 espinas pectorales. Para asignar las edades a partir de las lecturas se realizaron análisis que permitieron descartar la reabsorción de anillos asociada a la edad y corroborar la periodicidad anual de la formación de marcas. Se obtuvieron los tamaños medios de los radios de cada anillo y se retrocalcularon las tallas al momento de su formación, mediante la relación del radio total de las espinas con las tallas respectivas de cada pez. Dichos datos mostraron un buen ajuste a las curvas de crecimiento de von Bertalanffy, Gompertz y logística para ambos sexos por separado. Los resultados demostraron que el estudio del crecimiento de la especie debe realizarse para cada sexo por separado y que las normas pesqueras deben contemplar esta característica de la especie ya que las actuales pautas de manejo podrían estar promoviendo la captura diferencial por sexos.(AU)
Subject(s)
Animals , Catfishes/anatomy & histology , Catfishes/growth & development , Age Factors , Growth , Social Control, FormalABSTRACT
RESUMEN Gluconacetobacter diazotrophicus es una bacteria endófita promotora del crecimiento vegetal utilizada como inoculante microbiano en diferentes cultivos agrícolas. El objetivo del presente trabajo fue aplicar diferentes modelos matemáticos para representar su crecimiento en un cultivo sumergido por lotes empleando un biorreactor de 3 L y usando melazas de caña y sacarosa como fuente de energía. Se obtuvo el perfil temporal de pH, biomasa celular y azúcares totales. Se compararon los modelos estudiados por calidad de ajuste y complejidad y se realizó un análisis de sensibilidad paramétrica. Se consideraron modelos de cuatro y cinco parámetros con expresiones que incluyen efectos de inhibición por sustrato y por biomasa. El modelo con mayor calidad de ajuste fue el de Herbert-Pirt-Contois con coeficientes de determinación para biomasa y sustrato de 0,888 y 0,425 respectivamente. Estos valores indican una mayor correspondencia de los datos experimentales de biomasa con los datos calculados por el modelo, en comparación con los resultados obtenidos para azúcares totales para los que esta correspondencia fue menor. Este modelo generó la mejor combinación de calidad de ajuste y complejidad según el criterio de información de Akaike. El estudio cinético desarrollado permitió observar un comportamiento bifásico en la etapa de crecimiento de la bacteria cuando se cultiva en melaza y un efecto de limitación de su crecimiento por la biomasa. Los resultados obtenidos proporcionan una descripción matemática útil para el diseño, escalamiento y operación de un futuro proceso de producción de un inoculante microbiano a base de la bacteria G. diazotrophicus.
ABSTRACT Gluconacetobacter diazotrophicus is a plant-growth promoting endophytic bacterium used as a microbial inoculant for different crops. The objective of this work was to apply different mathematical models to represent its growth in a batch submerged culture employing a 3-L bioreactor and using sugarcane molasses and sucrose as energy sources. The time profile of pH, cell biomass, and total sugars was obtained. Models studied were compared considering their fit quality and complexity, and a parametric sensitivity analysis was performed. Four- and five-parameter models with expressions involving substrate and biomass inhibition effects were considered. The Herbert-Pirt-Contois model achieved the highest fit quality with determination coefficients of 0.888 and 0.425 for biomass and substrate, respectively. These values indicate a higher correspondence between the experimental data of biomass concentration and the data calculated by the model, compared to results obtained for total sugars for which this correspondence was lower. This model reached the best combination considering the fit quality and complexity according to the Akaike's information criterion. The kinetic study performed enabled to observe a bi-phasic behavior in the growth stage of the bacterium when grown on molasses, and a growth limitation effect due to biomass concentration. The outcomes obtained provide a mathematical description useful for design, scale-up, and operation of a future process for the production of a microbial inoculant based on G. diazotrophicus.
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Abstract Depression and stress have been related with poor Health Related Quality of Life (HRQoL) prognosis. However, it is not clear when these depressive symptoms should be measured. A sample of 177 Coronary Heart Disease patients were followed for 15 months aimed to compare the effect of depression and stress measure at time of hospitalization and three months later on the physical HRQoL trajectory. Linear growth models' results showed that depression and stress after discharge are negatively correlated with the physical HRQoL and depressive symptoms negatively affect the prognosis of these patients.
Resumo Depressão e estresse têm sido associados ao prognóstico da Qualidade de Vida Relacionada à Saúde (QVRS). Contudo, não há clareza sobre quando os sintomas de depressão devem ser mensurados. Uma amostra de 177 pacientes com cardiopatia isquêmica foi acompanhada por 15 meses, para comparar o efeito do estresse e a depressão durante a internação e, três meses depois, avaliou-se a trajetória do componente físico da QVRS. Os resultados da comparação de duas curvas de crescimento latente mostraram que a depressão e o estresse pós-alta estão negativamente correlacionados com o componente físico da QVRS, e que os sintomas depressivos afetam negativamente o prognóstico desses pacientes.
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Genidens genidens is a species susceptible to population declines in view of their reproductive biology peculiarities. Morphometric differences between sexes are observed in the literature, and these differences should also be evident in otolith development. Growth patterns are one of the most important biological characteristics regarding population dynamics and management. In this context, the aim of the present study is to describe this species relative growth and identify differences between sex life cycles. Somatic growth-otolith growth relationships and somatic length-weight relationships were estimated based on two methodologies; the Huxley and the polyphasic allometric models. Both models demonstrated different growth patterns between sexes. The three axes of otolith growth were adequate descriptors of growth, and the results of the Huxley model demonstrated distinct growth patterns between sexes, with male otoliths larger in all three measured axes. In the polyphase model, male otoliths were thicker, while female otoliths were longer and higher. Both sexes presented similar length-weight relationships, which may indicate that oocyte production and parental care lead to similar costs for this species.(AU)
Genidens genidens é uma espécie suscetível a declínios populacionais, tendo em vista as peculiaridades de sua reprodução. Diferenças morfométricas entre os sexos são observadas na literatura, e essas diferenças também devem ser evidentes no desenvolvimento dos otólitos. O padrão de crescimento é uma das características biológicas mais importantes no que diz respeito à dinâmica populacional e manejo. Assim, nosso objetivo é descrever o crescimento relativo da espécie e identificar diferenças entre os ciclos de vida dos sexos. A relação crescimento somático-crescimento do otólito e a relação comprimento-peso somáticos foram estimados com base em duas metodologias, os modelos alométricos de Huxley e polifásico. Ambos os modelos demonstraram diferentes padrões de crescimento entre sexos. Os três eixos dos otólitos descreveram adequadamente o crescimento, e os resultados do modelo de Huxley demonstraram padrões de crescimento distintos entre os sexos, com os otólitos dos machos sendo maiores em todos os três eixos medidos. No modelo polifásico os otólitos dos machos foram maiores em espessura, enquanto os otólitos das fêmeas exibiram maior comprimento e altura. Ambos os sexos apresentaram relações de comprimento-peso semelhantes, o que pode indicar que a produção de ovócitos e o cuidado parental apresentam custos semelhantes para essa espécie.(AU)
Subject(s)
Animals , Catfishes/growth & development , Catfishes/genetics , Otolithic Membrane , Sex CharacteristicsABSTRACT
Abstract: Ecuador is considered the fishing capital of the Southeastern tropical Pacific with more than 900 native species. Cichlasoma festae represents an economic important freshwater species of much local use. Thus, in this study, our goal was to characterize this fish species during juvenile stages, as the first step for its conservation and valuation, and also for the preparation of proposals for sustainable rural development and formulation of plans for environmentally responsible fisheries management. The study lasted 25 weeks and was undertaken in the ictiohidrographic area of Province of Los Rios, which accounts for 35 % of native fish species in Ecuador. Weekly, the individual biometric parameters total length (L), body width (BW) and body depth (BD) of 90 juveniles of C. festae were measured. Growth was determined using non-linear biological regression models. The average standard length varied between 6.30 cm and 12.25 cm and the average weight varied between 4.99 and 35.71 g. The length-weight relationship was best fit by the equation lnW = -3.92 + 2.96 ln(L), and the species presented negative allometric growth. Finally, the best fit for the growth of C. festae was the Von Bertalanffy's model where L∞ = 19.758 cm, k = 0.028 cm week-1 and t0 = -14.463 week-1. We concluded that to support sustainable and reliable fisheries production studies, the growth record from length may be obtained with standard methods as those evaluated in this study, or may be obtained with new safer tools such as photogrammetry. Rev. Biol. Trop. 65 (3): 1185-1193. Epub 2017 September 01.
Resumen: Ecuador se considera la capital pesquera del Pacífico tropical suroriental con más de 900 especies nativas. Cichlasoma festae representa una importante especie de agua dulce de gran uso local. Por lo tanto, en este estudio, nuestro objetivo fue caracterizar esta especie durante la etapa juvenil, como primer paso para su conservación y valoración, así como para la preparación de propuestas para el desarrollo rural sostenible y la formulación de planes para una gestión pesquera ambientalmente responsable. El estudio duró 25 semanas y se llevó a cabo la zona ictiohidrográfica de la Provincia de Los Ríos, que representa el 35 % de las especies nativas en Ecuador. Semanalmente, se midieron los parámetros biométricos individuales longitud total (L), ancho corporal (BW) y profundidad corporal (BD) de 90 juveniles de C. festae. El crecimiento se determinó utilizando modelos de regresión biológicos no lineales. La longitud media estándar varió entre 6.30 y 12.25 cm y el peso promedio varió entre 4.99 y 35.71 g. La relación longitudpeso se ajustó a la ecuación lnW = -3.92 + 2.96 ln(L), y la especie presentó crecimiento alométrico negativo. Finalmente, el mejor ajuste para el crecimiento de C. festae fue el modelo de Von Bertalanffy donde L∞ = 19.758 cm, k = 0.028 cm week -1 y t0 = -14.463 week -1. Concluimos que el registro de crecimiento de la longitud podría estar asociado a la fotogrametría como una herramienta para el desarrollo de una producción pesquera sostenible y segura.
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BACKGROUND: Children who have experienced negative rearing behaviors show a lack of self-confidence due to emotional instability and are reserved in interpersonal relationships. This can lead to failure in social adaptation and a high risk of depression, suicide, criminal acts, and anti-social behaviors. Therefore, this study aims to analyze the effects of experiencing negative parental rearing behaviors, such as neglect and abuse, on adolescents' social withdrawal and aggression, by utilizing multivariate latent growth models. METHODS: Data from the Korean Children and Youth Panel Study (KCYPS), a survey conducted by the National Youth Policy Institute targeting a cohort of three different age groups (grade 1, grade 4, and grade 7), from 2010 to 2016 was used. Multi-stage stratified sampling methods were used in the KCYPS, which surveyed the students and parents of the selected grade levels. This study analyzed the data for grade 7, from second year (grade 8) to fourth year (grade 10). RESULTS: Negative rearing experiences had a significant effect on social withdrawal and aggression, and this influence was shown to persist over the long term. CONCLUSION: This study examined the long-term developmental trajectory in the relationship between risk factors for adolescent development. Furthermore, the relationship between risk factors was shown to have not only short term but long-term effects as well, which reinforces the limitations of previous studies.
Subject(s)
Adolescent , Child , Humans , Adolescent Development , Aggression , Cohort Studies , Criminals , Depression , Longitudinal Studies , Parents , Risk Factors , SuicideABSTRACT
Growth is a fundamental biological process, driven by multiple endogenous (intra-individual) and exogenous (environmental) factors that maintain individual fitness and population stability. The current study aims to assess whether individual, spatial (headwaters and floodplains) and inter-sex variation occurs in the growth of Piaractus mesopotamicus in the Cuiabá River basin. Samples were collected monthly from July 2006 to July 2007, at two areas in the Cuiabá River basin (headwaters and floodplain). Three growth models (individuals; individuals and sex factors; individuals and areas factors) were developed and compared the fish growth parameters using Akaike information criterion (AIC). The best fit to the length-at-age data was obtained by a model that considered individual variation and sex. The theoretical maximum average length ( L∞ ) was 64.99 cm for females, and 63.23 cm for males. Females showed a growth rate (k) of 0.230 yr-1and males of 0.196 yr-1. Thus, could be concluded that individual variability and sex were the main sources of variation in P. mesopotamicus somatic growth parameters.(AU)
O crescimento é um processo biológico fundamental, impulsionado por múltiplos fatores endógenos (intra-individual) e exógenos (ambientais) que mantém o fitness individual e a estabilidade populacional. Este trabalho tem como objetivo avaliar se ocorre variação individual, espacial (região de cabeceira e planície de inundação) e entre sexo no crescimento de Piaractus mesopotamicus na bacia do rio Cuiabá. Amostragens foram realizadas mensalmente entre julho de 2006 a julho de 2007, em duas áreas da bacia do rio Cuiabá (região de cabeceira e planície de inundação). Três modelos de crescimento (indivíduos, indivíduos e sexo como fator, indivíduos e área como fator) foram elaborados e comparados os parâmetros de crescimentos dos peixes com base no critério de Informação de Akaike (AIC). O melhor ajuste aos dados de comprimento na idade data foi obtido pelo modelo que considerou a variação individual e o sexo. O comprimento médio máximo teórico ( L∞ ) das fêmeas foi 64,99 cm e para os machos 63,23 cm. O coeficiente de crescimento (k) médio foi de 0,230 yr-1 e 0,196 yr-1, respectivamente para fêmeas e machos. Portanto, pode-se concluir que variabilidade individual e sexo foram as principais origem de variação dos parâmetros de crescimento somático de P. mesopotamicus.(AU)
Subject(s)
Animals , Sex Characteristics , Characiformes/growth & development , Characiformes/genetics , Biological Variation, IndividualABSTRACT
RESUMO: Os objetivos do trabalho foram ajustar modelos de regressão não-linear para a estimativa da produção de frutos de tomate tipo cereja e identificar o tamanho da parcela com melhor poder de explicação e ajuste dos modelos, utilizando dois ensaios de uniformidade em estufa plástica. Os modelos ajustados foram o logístico e o de von Bertalanffy, para peso médio de frutos, número médio de frutos e de cachos acumulado nas múltiplas colheitas e com diferentes tamanhos de parcela. Os modelos apresentaram estimativas semelhantes entre si e as mesmas estimativas dos parâmetros em todos os casos de tamanho de parcela. Os modelos de regressão não-linear estudados descrevem satisfatoriamente o comportamento da produção de frutos de tomate tipo cereja cultivado em estufa plástica. Parcela constituída de duas plantas para ensaios em estufa plástica de 250m2 e de três plantas em estufa plástica de 200m2 proporcionam bom poder de explicação nas estimativas dos parâmetros dos modelos.
ABSTRACT: The aim of this paper was to test nonlinear regression models for estimating the cherry tomato production and to identify the plot size with better fitting quality and adjustment of the models, using two uniformity trials in greenhouse. The logistic and von Bertalanffy models were used on variables, as the means fruit weight, the means number of fruits and bunches accumulated in the multiple harvests and with different plot sizes. The models presented similar estimates for all parameters in all plot sizes studied. The nonlinear models adequately describe the behavior of the production of cherry tomato fruits cultivated in greenhouse. Plots constituted by two and three plants, respectively in trials with greenhouse of 250 m2 and 200 m2, provide a good fitting quality in the models adjustment.