Founder analysis is an attempt to identify the founder responsible for
an autosomal recessive disease. We start by making
the assumption that the defective gene (allele) was introduced by one
and only one founder.
There are many different founders in the pedigrees of the GM1
affecteds. In order to discriminate
between these founders we can ask:
Which founders could have contributed an allele to
each of the carriers?
Which founders were the most highly related to the
GM1 group?
We will answer these questions in terms of consanguinity. The
consanguinity between any two dogs is the probability that
those two dogs will share an allele that is identical by descent.
Two dogs that are completely unrelated will have a
consanguinity of 0. The consanguinity between any two founders
is assumed to be 0. The consanguinity between a founder
and its child is 0.25
| Founder | Average consangunity with the GM1 carrier group |
|
| TABU | 0.130 | 0.001 |
| CIGANA | 0.079 | 0.006 |
| LONTRA | 0.079 | 0.009 |
| DINA | 0.050 | 0.022 |
| LANDRIM | 0.011 | 0.096 |
| TROIA | 0.011 | 0.096 |
| PIPA | 0.002 | 0.500 |
| TUCHO | 0.002 | 0.817 |
| TARO | 0.038 | 0.950 |
| ESPERDICIO | 0.008 | 0.958 |
| ALGARVIA | 0.008 | 0.964 |
| SILVES | 0.036 | 0.977 |
| RIA(AD) | 0.047 | 0.986 |
Table 1 gives an overview of the founders, their relationship to the
entire population and their relationship to the population
of GM1 carriers. The founders
are ordered according to their average consanguinity with the entire population
(second column). 6 founders have fairly significant associations
with GM1
We can look at the structure of the population for the earliest known generations to get a better idea of why so many founders are implicated in the initial analysis.
Figure 1
Early stucture of the PWD population
The known population structure for the earliest generations of 9 different founders is shown in figure 1. The red squares indicate dogs that are related to Tabu. The green squares indicate the three founders implicated above (i.e. Cigana, Lontra, and Dina). The three green founders combine to form a common pool which is most easily represented by one dog, Leao. Leao's line follows a complicated inbred path until the 6th and 7th generation, where it is almost completely mixed with Tabu. The only descendent of Leao that is not related to Tabu is Lumpi ( in the lower left-hand corner).
One way to distinguish between the genetic legacy of Leao and the genetic
legacy of Tabu is through Lumpi. However, as table 2. indicates there
is no evidence that Lumpi was a GM1 carrier.
Consequently, it is very difficult to discriminate between Leao and Tabu
for GM1.
| Founder | Average consangunity with the GM1 carrier group |
|
| TABU | 0.130 | 0.001 |
| LEAO | 0.157 | 0.003 |
| LUMPI | 0.120 | 0.880 |