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simulate Poisson point process

Source: R/p3.R
p3.Rd

Simulates events in the interval from to to based on a Poisson point process with rate rate. If the parameter n is used, the number of fossils is conditioned to be n In the context of paleontology, these events can be interpreted as fossil occurrences or first/last occurrences of species. In this case, the rate is the average number of fossil occurrences (resp first/last occurrences) per unit

Usage

p3(rate, from, to, n = NULL)

Arguments

rate

strictly positive number, rate of events (avg events per unit)

from

lowest boundary of observed interval

to

upper boundary of observed interval

n

integer of NULL (default). Number of events to return. If NULL, the number is random and determined by the rate parameter

Value

a numeric vector with timing/location of events.

See also

p3_var_rate() for the variable rate implementation

Examples


# for fossil occ.
x = p3(rate = 5, from = 0, to = 1) # 5 fossil occurrences per myr on avg.
hist(x, xlab = "Time (Myr)", ylab = "Fossil Occurrences" )


x = p3(rate = 3, from = 0, to = 4)
hist(x, main = paste0(length(x), " samples")) # no of events is random


x = p3(rate = 3, from = 0, to = 4, n = 10)
hist(x, main = paste0(length(x), " samples")) # no of events is fixed to n


# see also
#vignette("event_data")
# for details on usage and applications to paleontology