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

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Reading

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




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