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Joel E. Cohen, Laboratory of Populations, Rockefeller University Body size, population variability, and food webs: observations and speculations The bigger the average sizes of trees in an area, the smaller the number or population density per unit area of those trees, in many studies. A quantitative form of this relationship is known as the self-thinning law. The allometric negative scaling of population density with increasing body mass has been widely claimed, and sometimes disputed, for many animals as well. Using forestry data, we examined empirically and theoretically some relations between body mass (estimated by aboveground biomass) and population mean density and variability. We speculate on some possible consequences of such relations for food webs. A principal goal of this talk is to learn of data or analytical ideas that could be used to test these ideas and speculations. Richard Law, Department of Biology, University of York On balanced exploitation of marine ecosystems A balanced approach to exploitation of marine ecosystems has recently been suggested by some fisheries biologists. This entails setting exploitation rates in proportion to the natural productivity of the components of the system; these components may be species, body sizes, or both. However, balanced harvesting does require a different perspective in fisheries. Our current paradigm is that harvesting small fish is bad and harvesting large fish is good. Yet it is typically the small fish that have high productivity and large fish that have low productivity. This talk will give some results showing that, unconventional though it would be to harvest small fish and leave large fish, there are potential benefits in doing so. Such harvesting generates substantial biomass yields, while retaining resilience to perturbations and having relatively little impact on the size structure of the system as a whole. Jeppe Kolding, Department of Biology, University of Bergen Size selective mortality in fisheries and nature Fishing mortality is a combination between the quantity of fishing effort and the selectivity of the fishing gear, and size selective regulations, aiming at protecting the young, has a century long history in fisheries. Life history theory predicts that the balance between growth and reproduction is determined from the ratio between adult and juvenile survival, and this is reflected in generalised evolutionary life strategies such as r- and K-selection, where the latter is considered the more vulnerable to human exploitation. Productivity, the creation of tissue per time unit, in Nature is largely a function of body size, which explains the ubiquitous pyramidal shape of aquatic trophic foodwebs, but the slope of the pyramid is again determined by the ratio between adult and juvenile survival. Comparing life history theory with fisheries theory reveals a deep conceptual mismatch that has adverse unintended consequences for human food production in the short term and for the resilience, dynamics and conservation of natural ecosystems in the long term. Shijie Zhou, CSIRO Marine and Atmospheric Research, Queensland Quantitative ecosystem approach to fisheries Overfishing, stock collapse, and concerns over ecological effects of fishing have called for an ecosystem approach to fisheries (EAF) worldwide. EAF is considered to be a holistic approach for healthy ecosystems and sustainable food production. However, these two fundamental inclusive EAF goals have been viewed as conflicting, and data deficiency has often become an excuse for inappropriate management. Research related to EAF has been a core part in CSIRO. In this talk, I will present some of our recent and current research on theory of biodiversity management, stock assessment, population estimation, and ecological risk assessment, particularly in data poor situations. The examples may provide a sketch of opportunities for applied mathematics and statistics and inspire a discussion on potential collaboration under the EAF paradigm Julia Blanchard, Department of Biology, University of Sheffield Projecting climate change impacts on large marine ecosystems and global fisheries In the absence of detailed knowledge on how fish species will respond to climate change, simple macroecological approaches can be usefully employed to investigate the potential impacts on production of marine ecosystems across a body size range typically encompassing mesozooplankton and fish larvae up to the largest predatory fishes. Simple theory based on the transfer of energy from smaller to larger organisms and temperature dependence on metabolic rates can be used to predict the abundance-body size distribution from primary productivity and temperature. Dynamic size spectrum models allow for time-dependent processes to be taken into account and testing effects of different fishing scenarios on the size spectrum. Using a coupled physical-biogeochemical model, climate-mediated changes in primary productivity and temperature were modelled across 12 regional domains, encompassing 28 large-marine ecosystems around the world, under future climate change scenarios. This information was used to force a dynamic size-structured community model to estimate the potential abundance-size distributions of marine predators, across size ranges that are typically dominated by fish and squid. The dynamic size spectrum model is then used to investigate the effects of different fishing strategies on potential yield of the overall system. We compare potential production estimates from size-based models in the absence of exploitation to present day observed catches of small pelagic, demersal and large pelagic fishes and discuss the potential implications for fisheries in the future.