Difficulties encountered in line transecting, like missed observations on t
he track line, discrete cues, heterogeneity in cue strength or sighting eff
iciency, and measurement errors, might cause estimates of abundance to be b
iased. Methods for removing bias in abundance estimates based on difficult
line transect survey data are considered, with an emphasis on hazard probab
ility modelling and likelihood analysis with simulation as an integral part
of the estimation. The shipborn survey of minke whales (Balaenoptera acutu
rostrata) in the northeastern Atlantic in 1995 was intrinsically difficult.
Experiences from this survey and its analysis are reviewed. If the survey
had been designed and the data analyzed by traditional line transect method
ology, results would be biased negatively by some 85%.