Maximum likelihood estimation of natural mortality and quantification of temperature effects on catchability of brown tiger prawn ( Penaeus esculentus ) in Moreton Bay (Australia) using logbook data

Highlights - A delay difference model was used to assess the stock of tiger prawn in Moreton Bay. - Ecological mechanisms were used to quantify the effect of temperature on catch. - Simultaneous estimations of natural mortality and catchability were tested by Monte Carlo. - Natural mortality for tiger prawn in Moreton Bay is equal to 0.032 ± 0.002 per week. Abstract It is common to model the dynamics of fisheries using natural and fishing mortality rates estimated independently using two separate analyses. Fishing mortality is routinely estimated from widely available logbook data, whereas natural mortality estimations have often required more specific, less frequently available, data. However, in the case of the fishery for brown tiger prawn (Penaeus esculentus) in Moreton Bay, both fishing and natural mortality rates have been estimated from logbook data. The present work extended the fishing mortality model to incorporate an eco-physiological response of tiger prawn to temperature, and allowed recruitment timing to vary from year to year. These ecological characteristics of the dynamics of this fishery were ignored in the separate model that estimated natural mortality. Therefore, we propose to estimate both natural and fishing mortality rates within a single model using a consistent set of hypotheses. This approach was applied to Moreton Bay brown tiger prawn data collected between 1990 and 2010. Natural mortality was estimated by maximum likelihood to be equal to 0.032 ± 0.002 week −1 , approximately 30% lower than the fixed value used in previous models of this fishery (0.045 week −1 ).