This model uses the notation of Falconer and Mackay (1996) Chapters 7 & 8, and uses their equations to generate the population specific variance components given the allele frequency p and the genotypic values a and d.

This model uses the notation of Falconer and Mackay (1996) Chapters 7 & 8 as well as Mäki-Tanila and Hill (2014). It uses their equations to generate the population specific variance components given the allele frequencies p (locus A) and q (locus B), the genotypic values of each locus a_{A} and a_{B}, as well as the aditive-by-additive effect a_{AB}.

This model uses the general least square model described in Lynch and Walsh (1998) Chapter 5 to derive the different variance components given the genotypic values input by the user as well as the chosen allele frequencies p (locus A) and q (locus B).

To obtain help and details about the application, please click on the README button:

Arbitrarily assigned genotypic values (i.e., trait means per genotype class)

Arbitrarily assigned genotypic values (i.e., trait means per genotype class)

Variance components

Graphical representation of genotypic values (closed circles) at two biallelic loci A and B. The horizontal scale show the number of A_{1} alleles in the genotype. The different genotypes at locus B are depicted in different colors. For each of the locus B genotypes, the linear regression line between the number of A_{1} allele and the genotypic value is drawn.

Reproduction of the Figure 7.2 of Falconer and Mackay (1996). Graphical representation of genotypic (closed blue circles) and breeding (open blue circles) values,
of the genotypes for a locus with two alleles A_{1} and A_{2} at freqencies p and 1-p.
Horizontal scale: number of A_{1} allele in the genotype. Vertical scales of values are : on the left-arbitrarily assigned values (see figure at the top of the page);
on right-deviation from the population mean (black cross). Each point size is weighted by its genotype frequency. A linear regression line between the number of A_{1} allele and the genotypic values is fitted by weighted least square.

Additive (V_{A}), additive-by-additive (V_{AA}) and proportion of genotypic variance explained by additive variance (V_{A}/V_{G}) as a function of the allele frequencies p and q. Current setting of p and q is depicted with a white cross.

Distributions of additive (V_{A}), dominance (V_{D}) and total (V_{G}) genetic variance on the left, and proportion of genotypic variance explained by additive variance (V_{A}/V_{G}) as a function of the allele frequency p on the right. The current user input allele frequency p is depicted by a vertical red solid line in the left panel and by a red cross in the right panel.

Authors: The Falconer ShinyApp was written by Valentin Hivert, based on the previous versions that had input from Luke Lloyd-Jones, Alex Holloway and Matt Robinson.