2010
DOI: 10.1007/s10592-010-0084-x
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Fine decomposition of the inbreeding and the coancestry coefficients by using the tabular method

Abstract: In this paper we describe a simple algorithm to decompose both inbreeding and coancestry coefficients. The decomposition is performed in pieces coming from each ancestor, including the founders and the Mendelian sampling terms of non-founders. The original algorithm presented here replaces the conventional tabular method formulae with an original set of recursive formulas. We illustrate the procedure with two small examples, including the pedigree of the bull Comet. The procedure was also tested with simulated… Show more

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Cited by 18 publications
(26 citation statements)
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“…It will be interesting to analyse how well f SEG correlates with genealogical coancestry, should the data be available, and exploring whether in cases of bottlenecks or population expansion the cumulative distribution of lengths of ROHs can be scaled to the corresponding cumulative contribution of each cohort to inbreeding (Garcia‐Cortes et al . ). Our results suggests the need to explore the consequences of using this IBD segment‐based measure of coancestry in selection programmes where the populations may have some inbreeding depression, as shown recently in Holstein cattle (Bjelland et al .…”
Section: Discussionmentioning
confidence: 97%
“…It will be interesting to analyse how well f SEG correlates with genealogical coancestry, should the data be available, and exploring whether in cases of bottlenecks or population expansion the cumulative distribution of lengths of ROHs can be scaled to the corresponding cumulative contribution of each cohort to inbreeding (Garcia‐Cortes et al . ). Our results suggests the need to explore the consequences of using this IBD segment‐based measure of coancestry in selection programmes where the populations may have some inbreeding depression, as shown recently in Holstein cattle (Bjelland et al .…”
Section: Discussionmentioning
confidence: 97%
“…As noted by Casellas (2018), d predicted infinitesimal IDL inherent to the genome of each individual, whereas their realization in terms of inbreeding depression of inbred offspring was linked by Z 4 . This was a lower-triangular matrix where each non-zero element was a partial inbreeding coefficient obtained by Mendelian decomposition from the standard pedigree file (Caballero and Toro, 2000;García-Cortés et al, 2010). This approach split the overall inbreeding coefficient of each individual (F i ) into the specific contribution of each relevant ancestor (F j ') in terms of identity-by-descent.…”
Section: Operational Modelmentioning
confidence: 99%
“…Slightly larger variability and fitness may be maintained if we applied strategies that distinguish between those individuals that contribute the most to inbreeding (Garcia-Cortes et al, 2010), or ancestral inbreeding from recent inbreeding (Ballou, 1997). The harmful effects of inbreeding are due to recent inbreeding, as the population has overcome ancestral inbreeding (Swindell and Bouzat, 2006).…”
Section: Small Population Sizementioning
confidence: 99%