Dear ECO loggers,
I have a question about utility of the Shannon-Wiener diversity index in
regards to sampling units that have no species in them at a given sampling
time. Normally this would get a value of zero, however with Shannon-Wiener a
sampling unit that has only one individual of one species would also earn
the value of zero when input into the formula -∑(1*ln1) = 
-∑(1*0) = 0;
therefore there becomes an issue of two different species scenarios having
the same values (0 for no species individuals and 0 for 1 ind of one species).
For example:
I am studying substrate preferences of ground nesting bees in which I
created three different substrate treatment types for bees to nest in.  In
all, I have 20 plots that have the 3 different treatments (subplots) within
each plot. I sampled all subplots of all plots 7 times throughout the bee
flight season. During some rounds I would collect no bees from a subplot and
therefore have no species to calculate diversity from in my data set. How do
I deal with these subplots that actually had no (zero) bee species in them? 
I would use Simpson Diversity instead but I am interested in rare species so
I thought it would not be sensitive enough.

I know this is somewhat of a strange predicament b/c the data sets that
Shannon-Wiener is usually applied to normally have at least one species per
plot at the very least but the nature of my study forces me to deal with
these true zero values. 

Has anyone out there had to deal with this before? I am open to any and all
suggestions or varying approaches. Is there a better index to use for this
analysis? I intend to use the results from diversity to calculate evenness
as well. Please enlighten me

Maria Van Dyke
Department of Environmental Sciences
University of Virginia

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