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Irruptive growth is a growth pattern over time, defined by a sudden rapid growth in the population of an organism. Irruptive growth is studied in population ecology. [1] Population cycles often display irruptive growth, but with a predictable pattern of subsequent decline. [2] It is a phenomenon typically associated with r-strategists .
Allee effects are classified by the nature of density dependence at low densities. If the population shrinks for low densities, there is a strong Allee effect. If the proliferation rate is positive and increasing then there is a weak Allee effect. The null hypothesis is that proliferation rates are positive but decreasing at low densities.
As resources become more limited, the growth rate tapers off, and eventually, once growth rates are at the carrying capacity of the environment, the population size will taper off. This S-shaped curve observed in logistic growth is a more accurate model than exponential growth for observing real-life population growth of organisms.
Logarithmic spiral ( pitch 10°) A section of the Mandelbrot set following a logarithmic spiral. A logarithmic spiral, equiangular spiral, or growth spiral is a self-similar spiral curve that often appears in nature. The first to describe a logarithmic spiral was Albrecht Dürer (1525) who called it an "eternal line" ("ewige Linie").
In probability and statistics, the log-logistic distribution (known as the Fisk distribution in economics) is a continuous probability distribution for a non-negative random variable. It is used in survival analysis as a parametric model for events whose rate increases initially and decreases later, as, for example, mortality rate from cancer ...
The EC 50 relates to the Hill equation, which is a function of the agonist concentration, [A]: where E is the observed response or effect above baseline, and n, the Hill coefficient reflects the slope of the curve. [7] The EC 50 represents the point of inflection of the Hill equation, beyond which increases of [A] have less impact on E.
The logistic curve shows early exponential growth for negative t, which slows to linear growth of slope 1/4 near t = 0, then approaches y = 1 with an exponentially decaying gap. The logistic function is the inverse of the natural logit function and so can be used to convert the logarithm of odds into a probability ; the conversion from the log ...
t. e. In statistical modeling, regression analysis is a set of statistical processes for estimating the relationships between a dependent variable (often called the 'outcome' or 'response' variable, or a 'label' in machine learning parlance) and one or more independent variables (often called 'predictors', 'covariates', 'explanatory variables ...