I am interested in describing and modeling patterns of spatial distribution of pelagic fish species, in particular small-scale (<100 km) distribution patterns. This is an interesting area of research. Small-scale distribution patterns determine how a species of fish interacts with its predators and preys. Some predators depend on the existence of fish aggregations of high density, and may not forage efficiently if the same prey biomass is scattered in numerous smaller aggregations. In addition, changes in spatial distribution at this scale have implications for fisheries management. For example, some species of fish form dense aggregations even when the total stock biomass is low. For these species, CPUE (catch per unit effort) may not be a good indicator of stock biomass, because the fishery can target those high-density aggregations obtaining high yields even when the overall biomass of the stock is being depleted.
For my thesis research, I am working with walleye pollock (Theragra chalcogramma). Walleye pollock is the target of one of the largest fisheries in the world and an important species in North Pacific and Bering Sea ecosystems. Although large-scale distribution patterns are relatively well know from fishery data and stock surveys, small-scale features have not been described in detail.

The first objective of my research is to quantitatively describe walleye pollock spatial and temporal distribution patterns in the Gulf of Alaska and Bering Sea. The description will include
· quantification of scale dependent variability in biomass distribution
· inference and modeling of spatial autocorrelation of biomass distribution
· characterization of walleye pollock aggregations
· quantification of daily, seasonal and geographical differences in distribution patterns
This description will be based on high-resolution acoustic data collected by the Alaska Fisheries Science Center during walleye pollock stock surveys.

The second objective is to produce a three-dimensional, dynamic simulation model of walleye pollock distribution. A hierarchical simulation model is proposed to generate initial two and three-dimensional static distributions of pollock biomass. The model consists of a series of two dimensional geostatistical simulations to obtain distributions of biomass and aggregation descriptors, coupled with three-dimensional Boolean algorithms to simulate fish distributions at small scales. Movement rules will be defined to simulate the dynamic behavior of pollock aggregations, including movement, daily changes in aggregation location and morphology and interaction among aggregations.
Image from: Cohen, D.M., T. Inada, T. Iwamoto and N. Scialabba, 1990. FAO species catalogue. Vol. 10. Gadiform fishes of the world (Order Gadiformes). An annotated and illustrated catalogue of cods, hakes, grenadiers and other gadiform fishes known to date.. FAO Fish. Synop. (125, Vol. 10):442 p.
Walleye pollock (Theragra chalcogramma)
Echogram representing acoustic data collected in the Bering Sea. The large masses near the bottom are walleye pollock aggregations.
Example of simulated horizontal distribution of walleye pollock acoustic density. The simulation was carried out following a sequential gaussian aproach, and was based on an exponential model variogram. Resolution: 0.5 x 0.5 nautical miles.
Sections of the three dimensional distribution generated from the horizontal distribution shown above. The acoustic density in each cell is fractioned in horizontal layers. The proportions in each layer are assigned by a histogram of random numbers from a beta distribution. The parameters of the beta distribution determine the position of the biomass in the water column. The number of fish in each cell was calculated using adult pollock target strength (-32 dB). Resolution: 0.5 nautical miles (horizontal) x 10 m (vertical).
Some (very) preliminary modeling results..
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