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Symmetry and ornamentation in a peacock's train
Issue 4,
December 1995
In 1991 two researchers, Manning and Hartley*, published an article describing
work they had carried out on peacocks (Pavo cristatus). Mature male peacocks
have a long train of tail feathers and when the male opens the tail he reveals
a highly colourful pattern. One of the most obvious features is that some feathers
end in an apparent eye or ocellus (plural ocelli). The ocelli are spread over
the whole train but 4-7 are usually found directly above the bird's head. Manning
and Hartley used this to divide the tail into two and counted the number of
ocelli on both sides of this mid-line. They then defined train symmetry based
on this: train symmetry was "the number of ocelli on the side with the greatest
number minus the number of ocelli on the side with the least". If a bird had
a train symmetry score of 0 then it would have an equal number of ocelli on
either side of the mid-line and be symmetrical with respect to the number of
eyes on its tail. It has been suggested that female animals tend to prefer mates
who have symmetrical bodily characteristics. For example, it has been found
that female barn swallows (Hirundo rustica) preferentially select males with
symmetrical tail feathers, i.e. symmetrical in terms of the length of the two
tail streamers.
To carry out their study the researchers visited zoos, parks
and gardens in North West England and photographed each male when it directly
faced a camera with its tail fully open. It was then possible to see the n-@d-line
and count the ocelli. The data relating to seventeen birds are illustrated in
Figure 1. Manning and Hartley found, by statistical analysis, that train symmetry
was very strongly correlated with the number of ocelli per train (r =0. 84,
N= 1 7).
Figure 1. The relationship between train symmetry and the number of ocelli per train.
- Why did the researchers wait unto the bird faced the camera before taking
the photograph? (1)
- The researchers probably used a camera with a telephoto lens to take the
photographs. Explain why it would have been advantageous to do so. (1)
- Identify one limitation of this study.
- The researchers counted the number of ocelli in the train of each bird.
What scale, or level, of measurement is this and state one characteristic of
this scale of measurement. (2)
- The researchers were interested to see if a significant correlation existed
between the two variables. Suggest a suitable experimental (alternative) hypothesis
that could be tested to determine if the correlation is significant and state
whether your hypothesis is one-tailed or two-tailed. (3)
- The Spearman rank correlation coefficient was used in this study to analyse
these data. What other correlation coefficient can be used to determine the
the strength of the correlation between two variables and when should this one
be used rather than the Spearman coefficient? (2)
- Figure 1 and the correlation coefficient that they calculated both indicate
that a positive correlation was found between the variables. Explain what interpretation
you would put on this finding, in terms of the two variables under investigation.
(1)
Below, in Table 1, is a section of the table of critical values for this
correlation coefficient. Use the table to determine at what level the coefficient
(r = 0.84) is significant. (1)
Table 1. Critical values of Spearman's rho (correlation coefficient).
| |
Level of significance for a two-tailed test |
| |
0.1 |
0.05 |
0.02 |
0.01 |
| |
Level of significance for a one-tailed test |
| |
0.05 |
0.025 |
0.01 |
0.005 |
| n=15 |
0.443 |
0.521 |
0.604 |
0.654 |
| 16 |
0.429 |
0.503 |
0.582 |
0.635 |
| 17 |
0.414 |
0.485 |
0.566 |
0.615 |
| 18 |
0.401 |
0.472 |
0.449 |
0.599 |
| 19 |
0.391 |
0.461 |
0.535 |
0.584 |
| 20 |
0.381 |
0.447 |
0.521 |
0.569 |
|