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Counting algorithms for linkage: correction to Morton and Collins.

E S Lander¹, P Green

¹Whitehead Institute for Biomedical Research, Cambridge, MA.

Annals of Human Genetics

|January 1, 1991

Summary

The Lander-Green algorithm is an Expectation-Maximization (EM) algorithm for genetic linkage analysis, contrary to previous claims. The Morton-Collins algorithm, however, is not an EM algorithm.

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Area of Science:

Genetics
Statistical Genetics
Bioinformatics

Background:

The Lander-Green algorithm is widely used for genetic linkage analysis.
A recent paper by Morton & Collins challenged the nature of this algorithm and proposed an alternative.

Purpose of the Study:

To clarify the algorithmic properties of the Lander-Green and Morton-Collins methods.
To determine if the Lander-Green algorithm is an Expectation-Maximization (EM) algorithm for maximum likelihood mapping.

Main Methods:

Algorithmic analysis of genetic linkage methods.
Comparison of the Lander-Green algorithm with the Expectation-Maximization (EM) algorithm framework.

Main Results:

The Lander-Green algorithm is demonstrated to be an EM algorithm.

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The Morton-Collins algorithm is shown not to be an EM algorithm.

Conclusions:

The assertions made by Morton & Collins (1990) regarding the Lander-Green and their proposed algorithm are incorrect.
The Lander-Green algorithm correctly utilizes EM principles for genetic linkage analysis and maximum likelihood mapping.