Wednesday, November 6, 2013

Cumulative Splash-Dunk Data

Betsy and I have been observing splash-dunks and spin-drys for the last few years.  To date, we've observed 338 splash-dunk events, which we define as a case where a dragonfly (usually a darner) plunges into the water one or more times to clean itself.  When we see an event, we count the number of successive splash-dunks that occur.  The total number of splash-dunks we've observed is 780.

The maximum number of splash-dunks observed in a given event is 8 – at least, so far.  This particular observation is described in the The Case of the Constipated Darner at the following link:

Here's a histogram of our combined results for 2011, 2012 and 2013:

The average number of splash-dunks per event (2.31) and the least-squares fit to an exponential have changed very little from last year's results.  Here's the analysis of the data:

Overall, the drop off in the number of events is roughly exponential, though there appears to be a larger number of three splash-dunk events than one might expect – a bit of a "shoulder" in the data there.  We'll see how these results evolve as more data is collected.

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