Markov-chain approach to the distribution of ancestors in species of biparental reproduction
We studied how to obtain a distribution for the number of ancestors in species of sexual reproduction. Present models concentrate on the estimation of distributions repetitions of ancestors in genealogical trees. It has been shown that it is not possible to reconstruct the genealogical history of ea...
Guardado en:
| Autores principales: | , |
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| Formato: | Articulo |
| Lenguaje: | Inglés |
| Publicado: |
2014
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| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/125913 |
| Aporte de: |
| id |
I19-R120-10915-125913 |
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| record_format |
dspace |
| institution |
Universidad Nacional de La Plata |
| institution_str |
I-19 |
| repository_str |
R-120 |
| collection |
SEDICI (UNLP) |
| language |
Inglés |
| topic |
Física Sample space Geometric progression Dilation (metric space) Distribution (number theory) Mathematics Theoretical computer science Stochastic process Tree (graph theory) Group (mathematics) Markov chain |
| spellingShingle |
Física Sample space Geometric progression Dilation (metric space) Distribution (number theory) Mathematics Theoretical computer science Stochastic process Tree (graph theory) Group (mathematics) Markov chain Caruso, M. Jarne, Cecilia Gisele Markov-chain approach to the distribution of ancestors in species of biparental reproduction |
| topic_facet |
Física Sample space Geometric progression Dilation (metric space) Distribution (number theory) Mathematics Theoretical computer science Stochastic process Tree (graph theory) Group (mathematics) Markov chain |
| description |
We studied how to obtain a distribution for the number of ancestors in species of sexual reproduction. Present models concentrate on the estimation of distributions repetitions of ancestors in genealogical trees. It has been shown that it is not possible to reconstruct the genealogical history of each species along all its generations by means of a geometric progression. This analysis demonstrates that it is possible to rebuild the tree of progenitors by modeling the problem with a Markov chain. For each generation, the maximum number of possible ancestors is different. This presents huge problems for the resolution. We found a solution through a dilation of the sample space, although the distribution defined there takes smaller values with respect to the initial problem. In order to correct the distribution for each generation, we introduced the invariance under a gauge (local) group of dilations. These ideas can be used to study the interaction of several processes and provide a new approach on the problem of the common ancestor. In the same direction, this model also provides some elements that can be used to improve models of animal reproduction. |
| format |
Articulo Articulo |
| author |
Caruso, M. Jarne, Cecilia Gisele |
| author_facet |
Caruso, M. Jarne, Cecilia Gisele |
| author_sort |
Caruso, M. |
| title |
Markov-chain approach to the distribution of ancestors in species of biparental reproduction |
| title_short |
Markov-chain approach to the distribution of ancestors in species of biparental reproduction |
| title_full |
Markov-chain approach to the distribution of ancestors in species of biparental reproduction |
| title_fullStr |
Markov-chain approach to the distribution of ancestors in species of biparental reproduction |
| title_full_unstemmed |
Markov-chain approach to the distribution of ancestors in species of biparental reproduction |
| title_sort |
markov-chain approach to the distribution of ancestors in species of biparental reproduction |
| publishDate |
2014 |
| url |
http://sedici.unlp.edu.ar/handle/10915/125913 |
| work_keys_str_mv |
AT carusom markovchainapproachtothedistributionofancestorsinspeciesofbiparentalreproduction AT jarnececiliagisele markovchainapproachtothedistributionofancestorsinspeciesofbiparentalreproduction |
| bdutipo_str |
Repositorios |
| _version_ |
1764820452486676483 |