Given that characters exhibiting macroscopic asymmetry have evolved in
a wide variety of taxa, heritable variation for bilateral asymmetry m
ust have arisen at some point in their history. The recognition that h
eritable variation may underlie some statistical asymmetries not only
raises concerns about the incautious use of statistical estimates of F
A in studies of developmental stability, but it suggests some intrigui
ng questions about the possible evolutionary origins of macroscopic as
ymmetries. First, we developed an additive model of bilateral variatio
n based on some simple assumptions about the developmental control of
bilateral variation. Second, using a new approach for studying statist
ical asymmetries, we conducted an analysis of bilateral variation in e
ight metrical traits of a harpacticoid copepod (Tigriopus californicus
) to search for novel forms of statistical asymmetries. The model we d
eveloped revealed three independent statistical asymmetries of potenti
al evolutionary significance: a) a previously unrecognized form of asy
mmetry (referred to here as normal covariant asymmetry), b) antisymmet
ry, and c) directional asymmetry. Because each pattern of variation wo
uld seem to require different amounts and kinds of developmental-genet
ic information [a- only negative feedback between sides (bilateral inh
ibition), b- both bilateral inhibition and average departure from symm
etry (bilateral offset), c- bilateral inhibition, bilateral offset, an
d a consistent overdevelopment of one side or the other (side-bias con
trol)], those requiring less information would seem more likely to rep
resent earlier stages in the evolution of macroscopic asymmetries. Our
analysis of bilateral variation in Tigriopus revealed no evidence for
any form of statistical asymmetry other than fluctuating asymmetry. H
owever, a significant positive covariation between sides, even after c
orrection for body size variation, suggested that factors influencing
relative limb length (whether genetic or environmental) affected both
sides equally rather than one side at the expense of the other. Finall
y, we note that certain statistical asymmetries (directional asymmetry
, any form of covariant asymmetry) may render characters unreliable fo
r estimating developmental stability because, unlike pure fluctuating
asymmetry, they may signal a genetic component to asymmetry variation.