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When all Data Booklets
and online data submissions are received, FeederWatch scientists begin their fun. They
merge all the data from each participant, run the data through a series of editing
programs, then, for each feeder species in each region, begin summarizing the data into
two variables: "percentage of feeders visited" and "mean group size."
Both variables provide an index of species abundance. "Percentage of feeders visited"
is calculated as the number of FeederWatch sites that reported a species at least once
over the winter divided by the total number of FeederWatch sites in the area of interest
(see example, below). This value can be from 0 to 100% and is often calculated for
specific states or FeederWatch regions.
Example: How to calculate percentage of feeders
visited and mean group size
In this example, only 8 participants are signed
up for Project FeederWatch, and they have submitted data about Species A from the
following 8 locations.
Location |
FeederWatch count
(highest number of Species A
seen at one time) |
Fairbanks, Alaska
Eugene, Oregon
Salt Lake City, Utah
Edmonton, Alberta
Ames, Iowa
Halifax, Nova Scotia
Bangor, Maine
Winter Park, Florida |
3
5
2
5
7
Not reported
Not reported
Not
reported
|
Percentage of feeders visited by Species A
Percentage = 5 Count Site reports/8 Total Count Sites = 63%
Mean group size of Species A
Group size = (3 + 5 + 2 + 5 + 7 ) / 5 = 4.4 birds/site
"Mean
group size" is calculated by computing the
geometric mean* (or average) of all the FeederWatch counts
for a species. More accurately, this is the average maximum
group size, as FeederWatch participants report the largest
flock of each species seen during a count period. The averaging
does not include "zero" counts, that is, counts
from FeederWatchers who did not report the species at their
site (see example).
The mean group size can vary quite a bit
depending on the species; those that tend to roam in large flocks (e.g., Pine Siskin) have
mean group sizes from 1 to over 100, whereas species that tend to feed alone or in pairs
in winter (e.g., Downy Woodpecker) are usually seen in much lower numbers.
*In
calculating "mean group size" FeederWatch scientists
use what is called a geometric mean, which is a method of
calculation that de-emphasizes rare high counts to provide
a mean that more closely matches what a typical FeederWatcher
is likely to see.
Sometimes,
FeederWatch scientists blend these two measures together
and factor in how many weeks the bird was reported within
a season. The resultant number allows them to "see"
several things with one number--how widely the bird is distributed,
how numerous it is at feeders, and how likely it is to visit
feeders within a season. This number is known as the
"FeederWatch Abundance Index."
What
can you analyze at your own feeder?
At your own feeder,
you can calculate the mean group size of each species you see. You can also calculate the "average
number of birds per count period," which is similar to the FeederWatch
Abundance Index but it can be calculated at a single feeder as opposed to over a large
geographical area. To calculate the average number of birds per count period for a
species, add up all your counts for that bird and divide by the total number of count
periods (including those weeks that you didn't see this bird, but not including weeks that
you didn't count at all). |