Equivalence of variance components between standard and recursive genetic models using LDL′ transformations
Abstract Background Recursive models are a category of structural equation models that propose a causal relationship between traits. These models are more parameterized than multiple trait models, and they require imposing restrictions on the parameter space to ensure statistical identification. Nev...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | deu |
| Published: |
BMC
2024-05-01
|
| Series: | Genetics Selection Evolution |
| Online Access: | https://doi.org/10.1186/s12711-024-00901-x |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850061977803554816 |
|---|---|
| author | Luis Varona David López-Carbonell Houssemeddine Srihi Carlos Hervás-Rivero Óscar González-Recio Juan Altarriba |
| author_facet | Luis Varona David López-Carbonell Houssemeddine Srihi Carlos Hervás-Rivero Óscar González-Recio Juan Altarriba |
| author_sort | Luis Varona |
| collection | DOAJ |
| description | Abstract Background Recursive models are a category of structural equation models that propose a causal relationship between traits. These models are more parameterized than multiple trait models, and they require imposing restrictions on the parameter space to ensure statistical identification. Nevertheless, in certain situations, the likelihood of recursive models and multiple trait models are equivalent. Consequently, the estimates of variance components derived from the multiple trait mixed model can be converted into estimates under several recursive models through LDL′ or block-LDL′ transformations. Results The procedure was employed on a dataset comprising five traits (birth weight—BW, weight at 90 days—W90, weight at 210 days—W210, cold carcass weight—CCW and conformation—CON) from the Pirenaica beef cattle breed. These phenotypic records were unequally distributed among 149,029 individuals and had a high percentage of missing data. The pedigree used consisted of 343,753 individuals. A Bayesian approach involving a multiple-trait mixed model was applied using a Gibbs sampler. The variance components obtained at each iteration of the Gibbs sampler were subsequently used to estimate the variance components within three distinct recursive models. Conclusions The LDL′ or block-LDL′ transformations applied to the variance component estimates achieved from a multiple trait mixed model enabled inference across multiple sets of recursive models, with the sole prerequisite of being likelihood equivalent. Furthermore, the aforementioned transformations simplify the handling of missing data when conducting inference within the realm of recursive models. |
| format | Article |
| id | doaj-art-95f1999cfc68412fb6bc180f092a707f |
| institution | DOAJ |
| issn | 1297-9686 |
| language | deu |
| publishDate | 2024-05-01 |
| publisher | BMC |
| record_format | Article |
| series | Genetics Selection Evolution |
| spelling | doaj-art-95f1999cfc68412fb6bc180f092a707f2025-08-20T02:50:03ZdeuBMCGenetics Selection Evolution1297-96862024-05-0156111010.1186/s12711-024-00901-xEquivalence of variance components between standard and recursive genetic models using LDL′ transformationsLuis Varona0David López-Carbonell1Houssemeddine Srihi2Carlos Hervás-Rivero3Óscar González-Recio4Juan Altarriba5Instituto Agroalimentario de Aragón (IA2), Universidad de ZaragozaInstituto Agroalimentario de Aragón (IA2), Universidad de ZaragozaInstituto Agroalimentario de Aragón (IA2), Universidad de ZaragozaInstituto Agroalimentario de Aragón (IA2), Universidad de ZaragozaInstituto Nacional de Investigación y Tecnología Agraria y Alimentaria (INIA-CSIC)Instituto Agroalimentario de Aragón (IA2), Universidad de ZaragozaAbstract Background Recursive models are a category of structural equation models that propose a causal relationship between traits. These models are more parameterized than multiple trait models, and they require imposing restrictions on the parameter space to ensure statistical identification. Nevertheless, in certain situations, the likelihood of recursive models and multiple trait models are equivalent. Consequently, the estimates of variance components derived from the multiple trait mixed model can be converted into estimates under several recursive models through LDL′ or block-LDL′ transformations. Results The procedure was employed on a dataset comprising five traits (birth weight—BW, weight at 90 days—W90, weight at 210 days—W210, cold carcass weight—CCW and conformation—CON) from the Pirenaica beef cattle breed. These phenotypic records were unequally distributed among 149,029 individuals and had a high percentage of missing data. The pedigree used consisted of 343,753 individuals. A Bayesian approach involving a multiple-trait mixed model was applied using a Gibbs sampler. The variance components obtained at each iteration of the Gibbs sampler were subsequently used to estimate the variance components within three distinct recursive models. Conclusions The LDL′ or block-LDL′ transformations applied to the variance component estimates achieved from a multiple trait mixed model enabled inference across multiple sets of recursive models, with the sole prerequisite of being likelihood equivalent. Furthermore, the aforementioned transformations simplify the handling of missing data when conducting inference within the realm of recursive models.https://doi.org/10.1186/s12711-024-00901-x |
| spellingShingle | Luis Varona David López-Carbonell Houssemeddine Srihi Carlos Hervás-Rivero Óscar González-Recio Juan Altarriba Equivalence of variance components between standard and recursive genetic models using LDL′ transformations Genetics Selection Evolution |
| title | Equivalence of variance components between standard and recursive genetic models using LDL′ transformations |
| title_full | Equivalence of variance components between standard and recursive genetic models using LDL′ transformations |
| title_fullStr | Equivalence of variance components between standard and recursive genetic models using LDL′ transformations |
| title_full_unstemmed | Equivalence of variance components between standard and recursive genetic models using LDL′ transformations |
| title_short | Equivalence of variance components between standard and recursive genetic models using LDL′ transformations |
| title_sort | equivalence of variance components between standard and recursive genetic models using ldl transformations |
| url | https://doi.org/10.1186/s12711-024-00901-x |
| work_keys_str_mv | AT luisvarona equivalenceofvariancecomponentsbetweenstandardandrecursivegeneticmodelsusingldltransformations AT davidlopezcarbonell equivalenceofvariancecomponentsbetweenstandardandrecursivegeneticmodelsusingldltransformations AT houssemeddinesrihi equivalenceofvariancecomponentsbetweenstandardandrecursivegeneticmodelsusingldltransformations AT carloshervasrivero equivalenceofvariancecomponentsbetweenstandardandrecursivegeneticmodelsusingldltransformations AT oscargonzalezrecio equivalenceofvariancecomponentsbetweenstandardandrecursivegeneticmodelsusingldltransformations AT juanaltarriba equivalenceofvariancecomponentsbetweenstandardandrecursivegeneticmodelsusingldltransformations |