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The amount of vegetation eaten in a day by a grazing animal is a function of the amount V of food available (measured as biomass
The amount of vegetation eaten in a day by a grazing animal is a function of the amount V of food available (measured as biomass in units such as pounds per acre). This relationship is called the functional response. If there is little vegetation available, the daily intake will be small, since the animal will have difficulty finding and eating the food. As the food biomass increases, so does the daily intake. Clearly, though, there is a limit to the amount the animal will eat, regardless of the amount of food available. This maximum amount eaten is the satiation level. In addition to the kangaroos, the major grazing mammals of Australia include merino sheep and rabbits. For sheep the functional response is S = 2.8 - 2.8e-0.01V and for rabbits it is H = 0.2 - 0.2e-0.008V Here S and H are the daily intake (measured in pounds), and V is the vegetation biomass (measured in pounds per acre). (a) Find the satiation level for sheep and that for rabbits. (Round your answers to three decimal places.) sheep 2.8 Ib rabbits 0.2 lb (b) One concern in the management of rangelands is whether the various species of grazing animals are forced to compete for food. It is thought that competition will not be a problem if the vegetation biomass level provides at least 80% of the satiation level for each species. What biomass level guarantees .that competition between sheep and rabbits will not be a problem? (Round your answer to two decimal places.) 10.36 X Ib/acre Enter a number. Need Help? Read It
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