Nielsen, J. Rasmus1; Kristensen, Kasper4; Lewy, Peter1; Bastardie, Francois1
1 National Institute of Aquatic Resources, Technical University of Denmark2 Section for Ecosystem based Marine Management, National Institute of Aquatic Resources, Technical University of Denmark3 Section for Marine Living Resources, National Institute of Aquatic Resources, Technical University of Denmark4 Department of Applied Mathematics and Computer Science, Technical University of Denmark
Trawl survey data with high spatial and seasonal coverage were analysed using a variant of the Log Gaussian Cox Process (LGCP) statistical model to estimate unbiased relative fish densities. The model estimates correlations between observations according to time, space, and fish size and includes zero observations and over-dispersion. The model utilises the fact the correlation between numbers of fish caught increases when the distance in space and time between the fish decreases, and the correlation between size groups in a haul increases when the difference in size decreases. Here the model is extended in two ways. Instead of assuming a natural scale size correlation, the model is further developed to allow for a transformed length scale. Furthermore, in the present application, the spatial- and size-dependent correlation between species was included. For cod (Gadus morhua) and whiting (Merlangius merlangus), a common structured size correlation was fitted, and a separable structure between the time and space-size correlation was found for each species, whereas more complex structures were required to describe the correlation between species (and space-size). The within-species time correlation is strong, whereas the correlations between the species are weaker over time but strong within the year.