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Branching processes can be simulated for a range of problems. One specific use of simulated branching process is in the field of evolutionary biology. [5] [6] Phylogenetic trees, for example, can be simulated under several models, [7] helping to develop and validate estimation methods as well as supporting hypothesis testing.
The Galton–Watson process is a branching stochastic process arising from Francis Galton's statistical investigation of the extinction of family names. [ 1 ] [ 2 ] The process models family names as patrilineal (passed from father to son), while offspring are randomly either male or female, and names become extinct if the family name line dies ...
A branching process (BP) (see e.g. Jagers (1975)) is a mathematical model to describe the development of a population. Here population is meant in a general sense, including a human population, animal populations, bacteria and others which reproduce in a biological sense, cascade process, or particles which split in a physical sense, and others.
In probability theory, a branching random walk is a stochastic process that generalizes both the concept of a random walk and of a branching process. At every generation (a point of discrete time), a branching random walk's value is a set of elements that are located in some linear space, such as the real line. Each element of a given ...
Another example is the branching process, [322] which models the growth of a population where each individual reproduces independently. The branching process is often used to describe population extinction or explosion, particularly in epidemiology, where it can model the spread of infectious diseases within a population.
Last time, I mused a bit on the concept of linearity versus openness in gaming. Today, I'd like to continue that line of thought, with a look at narrative paths in game design.
It was an extremely excruciating process," he told the outlet. "The children were in my mind all the time. ‘It’s for the kids. It’s for the kids. It’s for the kids.’ And now, with motion ...
A Moran process or Moran model is a simple stochastic process used in biology to describe finite populations. The process is named after Patrick Moran, who first proposed the model in 1958. [1] It can be used to model variety-increasing processes such as mutation as well as variety-reducing effects such as genetic drift and natural selection.