Fig. 7. Number of straight-line flights, nl, of length
l in the representations of the honeybee flights (histogram) on
linear–linear scales (A) and on log–log scales (B). A Lévy
stable distribution (Cauchy distribution),
P(l)=(1/
)
/(l2+
2),
with scale parameter,
, chosen to minimize the sum of the squared
differences between the Lévy stable distribution and the data,
nl (solid line). The inverse-square law scaling of the
high tail (l>10 m) of the distribution, obtained from a linear
least-squares fit of the distribution (r2=0.94), is
indicated (broken line).