Changes in mortality of lake trout ( Salvelinus namaycush ) in Michigan waters of Lake Superior in relation to sea lamprey ( Petromyzon marinus ) predation, 1968-78

Abstract

Total mortality rates of lake trout ( Salvelinus namaycush ) of age VII and older from eastern Lake Superior were estimated from catch curves of age distributions each year in 1968–78. The instantaneous rate of total mortality Z varied from 0.62 to 2.31 in close synchrony with sea lamprey ( Petromyzon marinus ) wounding rates on lake trout. The regression of transformed Z on the index of lamprey wounding, accounted for over 89% of the variation in lake trout mortality ( r 2  = 0.893). An iterative method of estimating rates of exploitation u , instantaneous rates of fishing mortality F , K (a constant relating sample catch per unit effort to population size), instantaneous normal natural mortality rate M , and instantaneous rate of mortality due to sea lamprey predation L from the sample catch per unit effort and total catch by the fishery is presented. A second method using the results of a 1970–71 tagging study to estimate the mean F in 1970–77 yielded closely similar results to the above and is presented as corroboration. The estimates of u , F , and M appear to be reasonable. F ranged from 0.17 in 1974 to 0.42 in 1969 and M was estimated at 0.26. L varied from 0.21 in 1974 to 1.70 in 1968. Management implications of various policies concerning sea lamprey control, exploitation, and stocking are discussed. Key words : lake trout, sea lamprey, lamprey control, mortality, predation, Lake Superior, fishery, management