We quantify the amplitude of the lopsidedness, the azimuthal angular asymme
try index and the concentration of star-forming regions, as represented by
the distribution of the H alpha emission, in a sample of 78 late-type irreg
ular galaxies. We bin the observed galaxies into two groups representing bl
ue compact galaxies (BCDs) and low-surface-brightness dwarf galaxies (LSBs)
. The light distribution is analysed with a novel algorithm, which allows d
etection of details in the light distribution pattern. We find that while t
he asymmetry of the underlying continuum light, representing the older stel
lar generations, is relatively small, the H alpha emission is very asymmetr
ic and is correlated in position angle with the continuum light. We show th
at the concentration of continuum light is correlated with the H alpha conc
entration; this implies that the young star formation has the same spatial
properties as the older stellar populations, but that these properties are
more strongly expressed by the young stars. We test a model of random star
formation over the extent of a galaxy by simulating H II regions in artific
ial dwarf galaxies. A galaxy is traced by assuming red star clusters distri
buted on an underlying exponential disc of radius twice the scalelength. Th
e disc is allowed to change in apparent magnitude, scaleradius, position an
gle and ellipticity. We compare the asymmetry- concentration distribution p
redicted by the simulations with the real observed distribution; we find th
at only LSBs match the distribution predicted by the model. The reason is t
hat, independently of the number of H II regions, LSBs show no particular l
ocation of H II regions, whereas BCDs show current star formation activity
restricted very much to the central parts of the galaxies. A consideration
of the properties of the continuum light leads to the conclusion that most
of LSBs can be approximated by exponential discs of radius twice their scal
elength; BCDs call, however, for much more concentrated underlying systems,
with smaller scalelengths than assumed in the simulations. The implication
is that random star formation over the full extent of a galaxy may be gene
rated in LSB dwarf irregular galaxies but not in BCD galaxies.