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On the determination of relative fitness from frequencies of genotypes in subsequent generations

Part II. Statistical problems in estimation of fitnesses

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Summary

In part I of this paper (Theoret. Appl. Genetics 40, p. 11–17) an algebraic treatment of reproduction and selection processes in populations of diploids was given. Here the statistical properties of a special fitness estimator, which is due to Hayman, are considered. Confidence intervals and tests of significance concerning hypotheses about fitnesses are established and checked by computer simulation studies in part III.

Zusammenfassung

Im ersten Teil dieser Arbeit* wurde eine alge-Darstellung von Reproduktions- und Selektionsvorgängen in Populationen diploider Organismen gegeben. Im zweiten Teil werden die statistischen Eigenschaften einer speziellen, von Hayman stammenden Schätzfunktion für die Fitness betrachtet. Es werden verschiedene Möglichkeiten zur Be-rechnung von Konfidenzintervallen und zur Durch-führung von Signifikanztesten angegeben und mit Hilfe von Simulationsstudien geprüft.

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Literature references

  • of this part of the paper are found at the end of part one, which is published in this journal. Vol. 40, p. 11–17

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Authors and Affiliations

  1. Institut für Biologie der Universität Tübingen, Lehrstuhl für Genetik, Germany, BRD

    R. J. Lorenz

  2. Bundesforschungsanstalt für Viruskrankheiten der Tiere, Tübingen, Germany, BRD

    R. J. Lorenz

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  1. R. J. Lorenz
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Communicated by W. Seyffert

Gekürzte Fassung einer der Mathem.-naturwiss. Fakultät der Universität Tübingen eingereichten Dissertationsschrift (Teil II und III).

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Lorenz, R.J. On the determination of relative fitness from frequencies of genotypes in subsequent generations. Theoret. Appl. Genetics 40, 76–87 (1970). https://doi.org/10.1007/BF00277274

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  • DOI: https://doi.org/10.1007/BF00277274

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