Abstract: Background: Predation risk declines non-linearly with one's own vigilance and the vigilance of others in the group (the 'many-eyes' effect). Furthermore, as group size increases, the individual's risk of predation may decline through dilution with more potential victims, but may increase if larger groups attract more predators. These are known, respectively, as the dilution effect and the attraction effect.
Assumptions: Feeding animals use vigilance to trade-off food and safety. Net feeding rate declines linearly with vigilance.
Question: How do the many-eyes, dilution, and attraction effects interact to influence the relationship between group size and vigilance behaviour?
Mathematical methods: We use game theory and the fitness-generating function to determine the ESS level of vigilance of an individual within a group.
Predictions: Vigilance decreases with group size as a consequence of the many-eyes and dilution effects but increases with group size as a consequence of the attraction effect, when they act independent of each other. Their synergetic effects on vigilance depend upon the relative strengths of each and their interactions. Regardless, the influence of other factors on vigilance – such as encounter rate with predators, predator lethality, marginal value of energy, and value of vigilance – decline with group size.

Abstract: Uzbekistan's fauna includes 97 mammal species (insectivorous six species, Cheiroptera 20, hare type species 2, rodents 37, ungulates 8); 379 bird species, of which 184 are passerine; 58 reptile species; 69 fish species. Species inhabiting sand deserts, clay deserts, and mountains are listed. The following mammal species inhabit the alpine zone: bear, snow leopard, ermine, weasel, wolf, Siberian mountain ibex, wild sheep, Menzbier's marmot and long-tailed marmot, voles, red pica. The following game species are listed in the Red Book: bear, leopard, lynx, snow leopard, cheetah, caracal, otter, marbled polecat, goitered gazelle, Bukhara deer, marchor, and wild sheep (there are two wild sheep sub-species in the country Bukhara and Kizilkum wild sheep).

Abstract: Based on the limited data available on snow leopard demography, we developed deterministic and stochastic stage-structured demographic models to study the population dynamics of this large cat. Our results reveal that even small leopard populations can persist provided their demographic parameters remain high, but less favorable scenarios would require larger population sizes. Population growth rate is more sensitive to breeder survivals than to any other parameters. A snow leopard population would start declining if yearly mortality claims more than 1/5 of the population. This study identifies poaching as a major threat to snow leopard survival and stresses the importance of long-term studies to better understand snow leopard population dynamics.

Abstract: It provides data concerning biology, distribution and use game and commercial mammal species in Uzbekistan, and recommends on ways of hunting and initial fur-skin processing. It also describes the matter of conservation and rehabilitation of rare species' populations. From 1930-s to 1960-s over 20 snow leopard skins were reported to be traded officially.

Abstract: Totally in Uzbekistan inhabited about 40 game species, but many of them became rare (Mellivora capensis indica, Lutra lutra seistanica, Hyaena hyaena, Felis pardus ciscaucasicus, Felis uncia, Felis ¤…a…c…l michaelis, F.manul ferrugineus, Cervus elaphus bactrianus, ¥…da… falconeri heptneri, Ovis orientalis bochariensis, I. about severtsovi, About ammon k…a†1ini), from fauna of region have disappeared Cuon alpinus hesperius, D…nthera tigris virgata, Acion¢o jubatus, Cervus elaphus sibiricus, Equus h†mionus, E. dazewalskii, Camelus bactrianus. For protection of valuable species of animals in Uzbekistan 6 nature reserves and 6 zakazniks were established.