detfun0

Simulates deterministic component of Ricker model, of the form xt+1 = xt exp(exp(sdet[1])*(1-xt/exp(sdet[2])))

time-series

deterministic

discrete-time

Includes a collection of functions presented in "Measuring stability in ecological systems without static equilibria" by Clark et al. (2022) <doi:10.1002/ecs2.4328> in Ecosphere.
These can be used to estimate the parameters of a stochastic state space model (i.e. a model where
a time series is observed with error). The goal of this package is to estimate the variability
around a deterministic process, both in terms of observation error - i.e. variability due to
imperfect observations that does not influence system state - and in terms of process noise - i.e.
stochastic variation in the actual state of the process. Unlike classical methods for estimating
variability, this package does not necessarily assume that the deterministic state is fixed (i.e.
a fixed-point equilibrium), meaning that variability around a dynamic trajectory can be estimated
(e.g. stochastic fluctuations during predator-prey dynamics).

Adam Clark

pttstability

Particle-Takens Stability

detfun0 function

<dl><dt>sdet</dt>
<dd>a numeric vector of length two, specifying growth rate and carrying capacity</dd>
<dt>xt</dt>
<dd>a number or numeric vector of abundances at time t</dd>
<dt>time</dt>
<dd>the timestep - defaults to NULL (i.e. not used)</dd>
<dt>...</dt>
<dd>additional arguments, for compatability with other usages of the function - values are not used in this implementation</dd></dl>

Arguments

default deterministic function — detfun0

<dl>

<dt>sdet</dt>
<dd>a numeric vector of length two, specifying growth rate and carrying capacity</dd>


<dt>xt</dt>
<dd>a number or numeric vector of abundances at time t</dd>


<dt>time</dt>
<dd>the timestep - defaults to NULL (i.e. not used)</dd>


<dt>...</dt>
<dd>additional arguments, for compatability with other usages of the function - values are not used in this implementation</dd>

</dl>

detfun0: default deterministic function

Description

Usage

Value

Arguments