Solving the Levins' paradox in the logistic model to the population growth

We introduce a new method to improve Markov maps by means of a Bayesian approach. The method starts from an initial map model, wherefrom a likelihood function is defined which is regulated by a temperature-like parameter. Then, the new constraints are added by the use of Bayes rule in the prior distribution. We applied the method to the logistic map of population growth of a single species. We show that the population size is limited for all ranges of parameters, allowing thus to overcome difficulties in interpretation of the concept of carrying capacity known as the Levins paradox. © Published under licence by IOP Publishing Ltd.

Comparison of logistic and neural network models to fit to the egg production curve of White Leghorn hens

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Choosing between Cox proportional hazards and logistic models for interval-censored data via bootstrap

This work develops a new methodology in order to discriminate models for interval-censored data based on bootstrap residual simulation by observing the deviance difference from one model in relation to another, according to Hinde (1992). Generally, this sort of data can generate a large number of tied observations and, in this case, survival time can be regarded as discrete. Therefore, the Cox proportional hazards model for grouped data (Prentice & Gloeckler, 1978) and the logistic model (Lawless, 1982) can befitted by means of generalized linear models. Whitehead (1989) considered censoring to be an indicative variable with a binomial distribution and fitted the Cox proportional hazards model using complementary log-log as a link function. In addition, a logistic model can be fitted using logit as a link function. The proposed methodology arises as an alternative to the score tests developed by Colosimo et al. (2000), where such models can be obtained for discrete binary data as particular cases from the Aranda-Ordaz distribution asymmetric family. These tests are thus developed with a basis on link functions to generate such a fit. The example that motivates this study was the dataset from an experiment carried out on a flax cultivar planted on four substrata susceptible to the pathogen Fusarium oxysoprum. The response variable, which is the time until blighting, was observed in intervals during 52 days. The results were compared with the model fit and the AIC values.

A Generalized Log-Normal Model for Grouped Survival Data

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Efeitos de espécies de timbós (Derris spp.: Fabaceae) em populações de Musca domestica L.

A partir de ensaios com dosagens crescentes, foi avaliado o efeito do pó da raiz de duas espécies de timbó (Derris urucu e D. nicou) sobre populações de larvas de duas linhagens de Musca domestica L., provenientes de duas localidades do Estado de São Paulo, Jaboticabal (Jab) e Brodósqui (Bro). Para obtenção das doses letais foram utilizados ajustes de regressão de acordo com o modelo logístico. D. urucu foi mais eficiente que D. nicou no controle das duas linhagens, sendo necessário mais que o dobro da quantidade de D. nicou para se obter os mesmos efeitos causados com D. urucu. Foi demonstrada a existência de especificidade de ação dos timbós nas linhagens de moscas. D, urucu foi mais eficiente no controle da linhagem Bro, enquanto que D. nicou controlou maior número de indivíduos da linhagem Jab.

Growth curve in Santa Ines sheep

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Urinary incontinence and vaginal squeeze pressure two years post-cesarean delivery in primiparous women with previous gestational diabetes mellitus

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Association between atherosclerotic aortic plaques and left ventricular hypertrophy in patients with cerebrovascular events

Background and Purpose - the purpose of this research was to evaluate whether an association exists between the presence of atherosclerotic plaque in the thoracic aorta and left ventricular hypertrophy (LVH) in patients with a cerebrovascular event.Methods - We included 116 consecutive patients ( 79 men; mean age, 62 +/- 12.4 years) with previous history of stroke or transient ischemic attack in a cross-sectional study. Transthoracic echocardiogram was performed to diagnose LVH and transesophageal echocardiogram for the detection of atheromas of the thoracic aorta. Continuous variables were analyzed by Student t or Mann-Whitney tests and categorized variables by Goodman test. From the significant association of LVH and age with atheromatous disease of the aorta, an adjustment to the multivariate logistic model was made using high blood pressure history or age as covariates. All of the statistical tests were carried out at a level of 5% significance.Results - Almost half of the patients (43.1%) presented atherosclerotic lesions in the aorta. LVH was present in 90.0% of patients with plaque and in only 30.3% of patients without plaque. Using high blood pressure as a covariate, the risk of patients with LVH presenting atherosclerotic plaque in the aorta was 18.23-fold greater than the risk for patients without LVH (95% CI, 5.68 to 58.54; P < 0.0001). Adding age into the model, the risk increased to 26.36 ( 95% CI, 7.14 to 97.30; P < 0.0001).Conclusions - LVH detected by conventional echocardiogram is associated with high risk of atherosclerotic plaque in the aorta and would be used as a criterion for indication of transesophageal echocardiography in patients with previous stroke or transient ischemic attack LVH.

Eventos adversos após vacinação contra influenza em idosos, Distrito de Campinas, SP, 2000

Há poucos dados sistematizados sobre eventos adversos da vacina contra influenza no Brasil. Este trabalho visou identificar estes eventos em população acima de 60 anos que compareceu à Campanha Nacional de Vacinação do Idoso, em Distrito de Campinas, SP, em 2000. Foi realizada entrevista para relato de sintomas gerais e locais, com nexo temporal após a aplicação do imunobiológico, em amostra aleatória sistemática da população (n=206). Registraram-se 20,38% (IC 14,87-25,88) dos indivíduos com um ou mais sintomas, sendo a dor no local da vacina, a mais freqüente 12,6% (IC 8,09-17,15). Ajustou-se um modelo de regressão logística múltipla, tendo como variável dependente, a ocorrência de pelo menos um evento adverso. A variável independente que se mostrou associada às reações adversas foi o sexo (feminino) (OR=5,89 e IC 2,08-16,68). Os achados deste estudo reafirmam a pequena reatogenicidade da vacina contra a influenza.

Growth curve of Nellore calves reared on natural pasture in the Pantanal

Weight-age and hip height-age relations of Nellore calves, from birth to 10 months old were fitted using a logistic model including sex and year of birth as fixed effects. Calves and their dams were reared on natural pasture using continuous grazing system. The crude protein content and total digestible nutrients were analyzed for pasture selected by the animals. The weights of the calves were adjusted to 205 days and 365 days. There were no significant effects of sex and birth year on the growth curve parameters, but there were significant effects of sex on hip height. The average weight (a parameter) at 10 months of age was 170 kg and the inflection point was observed at 93.5 days old. When weight-age and hip height-age curves were combined in the same graph, the intersection occurred at 142 days. The number of days to gain 160 kg from birth to 205 days of age (adjusted) and number of days to gain 240 kg from 205 days to slaughter was different between the birth years, which were probably due to the quality of the natural pastures. It is necessary to implement nutritional management strategies such as high quality pasture and/or feeding supplementation for calves once they reach three months of age.

Factors affecting conception rates following artificial insemination or embryo transfer in lactating holstein cows

The objective of this study was to evaluate the factors that may affect conception rates (CR) following artificial insemination (AI) or embryo transfer (ET) in lactating Holstein cows. Estrous cycling cows producing 33.1 +/- 7.2 kg of milk/d received PGF(2 alpha) injections and were assigned randomly to 1 of 2 groups (AI or ET). Cows detected in estrus (n = 387) between 48 and 96 h after the PGF2a injection received AI (n = 227) 12 h after detection of estrus or ET (n = 160) 6 to 8 d later (1 fresh embryo, grade 1 or 2, produced from nonlactating cows). Pregnancy was diagnosed at 28 and 42 d after estrus, and embryonic loss occurred when a cow was pregnant on d 28 but not pregnant on d 42. Ovulation, conception, and embryonic loss were analyzed by a logistic model to evaluate the effects of covariates [days in milk (DIM), milk yield, body temperature (BT) at d 7 and 14 post-AI, and serum concentration of progesterone (P4) at d 7 and 14 post-AI] on the probability of success. The first analysis included all cows that were detected in estrus. The CR of AI and ET were different on d 28 (AI, 32.6% vs. ET, 49.4%) and 42 (AI, 29.1% vs. ET, 38.8%) and were negatively influenced by high BT (d 7) and DIM. The second analysis included only cows with a corpus luteum on d 7. Ovulation rate was 84.8% and was only negatively affected by DIM. Conception rates of AI and ET were different on d 28 (AI, 37.9% vs. ET, 59.4%) and 42 (AI, 33.8% vs. ET, 46.6%) and were negatively influenced by high BT (d 7). The third analysis included only ovulating cows that were 7 d postestrus. Conception rates of AI and ET were different on d 28 (AI, 37.5% vs. ET, 63.2%) and 42 (AI, 31.7% vs. ET, 51.7%) and were negatively influenced by high BT (d 7). There was a positive effect of serum concentration of P4 and a negative effect of milk production on the probability of conception for the AI group but not for the ET group. The fourth analysis was embryonic loss (AI, 10.8% vs. ET, 21.5%). The transfer of fresh embryos is an important tool to increase the probability of conception of lactating Holstein cows because it can bypass the negative effects of milk production and low P4 on the early embryo. The superiority of ET vs. AI is more evident in high-producing cows. High BT measured on d 7 had a negative effect on CR and embryonic retention.

Modeling grouped survival data with time-dependent covariates

In this article, proportional hazards and logistic models for grouped survival data were extended to incorporate time-dependent covariates. The extension was motivated by a forestry experiment designed to compare five different water stresses in Eucalyptus grandis seedlings. The response was the seedling lifetime. The data set was grouped since there were just three occasions in which the seedlings was visited by the researcher. In each of these occasions also the shoot height was measured and therefore it is a time-dependent covariate. Both extended models were used in this example, and the results were very similar.

Comparação de modelos não-lineares para descrever o crescimento de fêmeas da raça Guzerá

Dados de crescimento e reprodução de 573 vacas da raça Guzerá, nascidas entre 1961 e 1985, na Fazenda Canoas, em Curvelo, MG, foram analisados com o objetivo de estabelecer um padrão médio de crescimento, mediante o uso de um modelo matemático que se ajuste adequadamente aos dados. Os modelos Brody, Bertalanffy, Logístico, Gompertz e Richards foram ajustados aos dados de peso/idade, coletados até 1992, e comparados quanto à qualidade de ajustamento. Os pesos assintóticos e as taxas de maturidade estimadas foram, respectivamente: para o modelo Brody, 464,49 e 0,046; para o Bertalanffy, 453,18 e 0,065; para o Logístico, 447,05 e 0,085; para o Gompertz, 449,89 e 0,075, e para o Richards, 458,26 e 0,055. O modelo Richards apresentou dificuldades computacionais para ajustamento aos dados. Os outros modelos se revelaram adequados para descrever o crescimento nesses animais, apresentando pequenas variações na qualidade de ajustamento, de acordo com os critérios utilizados. O modelo Bertalanffy foi escolhido para representar a curva média de crescimento dos animais, por apresentar um ajustamento superior no conjunto dos critérios.

Methods to verify parameter equality in nonlinear regression models

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Determination of a point sufficiently close to the asymptote in nonlinear growth functions

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