`gompertz`

is a `pomp`

object encoding a stochastic Gompertz population model with log-normal measurement error.

The state process is *X[t+1]=K^(1-S) X[t]^S eps[t]*, where *S=e^{-r}* and the *eps[t]* are i.i.d. lognormal random deviates with variance *sigma^2*.
The observed variables *Y_t* are distributed as *lognormal(log(X[t]),tau)*.
Parameters include the per-capita growth rate *r*, the carrying capacity *K*, the process noise s.d. *sigma*, the measurement error s.d. *tau*, and the initial condition *X[0]*.
The `pomp`

object includes parameter transformations that log-transform the parameters for estimation purposes.

`pomp`

, `ricker`

, and the tutorials at https://kingaa.github.io/pomp.

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