Corpus data are used to investigate Yngve's claim that English usage a
voids grammatical structures in which the number of left branches betw
een any word and the root node of a sentence exceeds some fixed limit.
The data do display a marked bias against left-branching, but the pat
tern of word-depths does not conform to Yngve's concept of a sharp lim
it. The bias could alternatively reflect a statistical invariance in t
he incidence of left-branching, but whether this is so depends on how
left-branching is counted. Six nonequivalent measures are proposed; it
turns out that one (and only one) of these yields strikingly constant
figures for left-branching in real-life sentences over a wide range o
f lengths. This is not the measure suggested by Yngve's formulation; i
t is the measure whose invariance is arguably the most favourable for
computational tractability.