A controlled system and the differential inclusion corresponding to it, which function in a finite time interval and are restricted by a phase constraint in the form of a compact set in position space, are considered. A trial algorithm for the approximate construction of the viability kernel of the
Maximising a function of the selection differential
β Scribed by J. W. James
- Book ID
- 104700383
- Publisher
- Springer
- Year
- 1976
- Tongue
- English
- Weight
- 184 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0040-5752
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β¦ Synopsis
It is shown that some problems of optimising selection response can be solved without assuming a specific form of distribution for the trait of interest. To maximise the selection limit using selection among a fixed number every generation, all above the mean should retained. If a fraction of a population is set aside as a sire breeding nucleus, and selection is at one stage, maximum response per generation occurs when the nucleus as a fraction of the whole population is the square root of the sires: dams ratio. When a trait has an optimum, but declines in value at different rates A above and B below the optimum, the population mean should be chosen so that a fraction B/(A + B) are above the optimum.
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