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The maximum sustainable yield (MSY) is the largest amount of biomass that can be collected annually for indefinite periods. MSY assesses the productive capacity of the fishery, rather than demand or economic costs. MSY output may be greater or less than monopolistic or competitive output.
The maximum sustainable yield is the largest yield that can be taken from a population at equilibrium. In figure 3, if H {\displaystyle H} is higher than H 2 {\displaystyle H_{2}} , the harvesting would exceed the population's capacity to replace itself at any population size ( H 3 {\displaystyle H_{3}} in figure 3).
For example, the fishing effort exerted by a fishing fleet in a trawl fishery might be measured by summing the products of the engine power for each boat and time it spent at sea (KW × days). For a gill-net fishery the effort might be measured by summing the products of the length of each set net and the time it was set in the water (Km × ...
The concept of maximum sustainable yield (MSY) has been used in fisheries science and fisheries management for more than a century. Originally developed and popularized by Fedor Baranov early in the 1900s as the "theory of fishing," it is often credited with laying the foundation for the modern understanding of the population dynamics of fisheries. [1]
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The Beverton–Holt model is a classic discrete-time population model which gives the expected number n t+1 (or density) of individuals in generation t + 1 as a function of the number of individuals in the previous generation, + = + /.
The primary difference between a computer algebra system and a traditional calculator is the ability to deal with equations symbolically rather than numerically. The precise uses and capabilities of these systems differ greatly from one system to another, yet their purpose remains the same: manipulation of symbolic equations.
Let () be a signal consisting of evenly spaced samples. Prony's method fits a function ^ = = (+) to the observed ().After some manipulation utilizing Euler's formula, the following result is obtained, which allows more direct computation of terms: