# User:Carl Boettiger/Notebook/Stochastic Population Dynamics/2010/08/07

Stochastic Population Dynamics Main project page
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Trying to make this show reading of the day, the script below shows only current reading:

Friendfeed discussion on solving this:

## Warning Signals

• Implementing likelihood-based methods for early warning signals. Trying three models:

\begin{align} dX =& (\theta_1 + \theta_2 X) dt + \theta_3 dW_t \\ dX =&(\alpha_0+\beta t) (\theta + X) dt + \sigma dW_t \\ dX =& \alpha(t) (\theta + X) dt + \sigma dW_t \end{align}

#### To Do

1. Simulation routine for custom equations (2, 3)
2. Neyman-Pearson Likelihood ratio test method between models
3. Simulation from actual population dynamics -- update warning signals method to return individual runs