abstract
A crude mathematical framework is developed to describe krill abundance in terms of selected parameters of various aggregation behaviours exhibited by the Antarctic krill (Euphausia superba Dana). The relationship of combination of these parameters to various possible measures of catch-per-unit-effort (CPUE) for the Antarctic krill fishery is considered. The combined index of catch-per-hour (CPH) of trawling multiplied by the inverse of the average inter-concentration search time (IST) is suggested as a possible measure if krill abundance; such an index should be stratified both spatially and by krill aggregation type � this has implications for routine data collection. Models should be constructed to investigate how substantial the non-linearities in the relationship between the index and krill abundance might be.