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

From OpenWetWare
Jump to navigationJump to search
Owwnotebook icon.png Stochastic Population Dynamics Report.pngMain project page
Resultset previous.pngPrevious entry      Next entryResultset next.png

Reading

Trying to make this show reading of the day, the script below shows only current reading: <html> <script type="text/javascript" src="http://www.google.com/reader/ui/publisher-en.js"></script> <script type="text/javascript" src="http://www.google.com/reader/public/javascript/user/16488617539907435411/state/com.google/broadcast?n=5&callback=GRC_p(%7Bc%3A%22blue%22%2Ct%3A%22Carl's%20shared%20items%22%2Cs%3A%22true%22%2Cn%3A%22true%22%2Cb%3A%22false%22%7D)%3Bnew%20GRC"></script> </html>

Friendfeed discussion on solving this: <html> <iframe src="http://friendfeed.com/the-life-scientists/8c7753b8/can-you-capture-snapshot-of-rss-feed-i-d-love-to-be?embed=1" frameborder="0" height="400" width="650" style="border:1px solid #aaa"></iframe> </html>

Warning Signals

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

[math]\displaystyle{ \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} }[/math]


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