Mutation, selection, and ancestry in branching models: a variational approach

We consider the evolution of populations under the joint action of mutation and differential reproduction, or selection. The population is modelled as a finite-type Markov branching process in continuous time, and the associated genealogical tree is viewed both in the forward and the backward direction of time. The stationary type distribution of the reversed process, the so-called ancestral distribution, turns out as a key for the study of mutation-selection balance. This balance can be expressed in the form of a variational principle that quantifies the respective roles of reproduction and mutation for any possible type distribution. It shows that the mean growth rate of the population results from a competition for a maximal long-term growth rate, as given by the difference between the current mean reproduction rate, and an asymptotic decay rate related to the mutation process; this tradeoff is won by the ancestral distribution. Our main application is the quasispecies model of sequence evolution with mutation coupled to reproduction but independent across sites, and a fitness function that is invariant under permutation of sites. Here, the variational principle is worked out in detail and yields a simple, explicit result.Comment: 45 pages,8 figure

Investigating web-based recruitment sources: Employee testimonials vs word-of-mouse

A

Seed conditioning of red oak: a recalcitrant North American seed Condicionamento de sementes de carvalho vermelho: semente recalcitrante da América do Norte

A ten day aerated water soak was developed as a seed conditioning treatment for red oak (Quercus rubra L.). Conditioned seeds had higher germination completeness, uniformity and speed compared to control seeds. Seeds could be conditioned under a wide range of temperatures and durations. Conditioned seeds were maintained at 7(0)C for 30 days without loss of seed quality. During conditioning, pericarps split in response to seed hydration. Split pericarps could be used as a pre-sowing indicator for high quality seeds. Seed conditioning was ineffective on dormant seeds. Increased crop uniformity and higher stand establishment can be realized by subjecting red oak acorns to an aerated water soak treatment followed by selecting seeds with split pericarps. These results are especially important in container production systems where limited numbers of value seeds are available.<br>Sementes de carvalho vermelho (Quercus rubra L.) foram condicionadas diretamente em água, sob aeração, durante 10 dias. As sementes condicionadas fisiologicamente apresentaram maior percentagem, velocidade e uniformidade de germinação, quando comparadas com a testemunha. O condicionamento das sementes pode ser efetuado sob ampla variação de temperaturas e períodos de exposição. Sementes condicionadas podem ser mantidas a 7ºC/30 dias, sem perda de qualidade. Durante o condicionamento ocorre ruptura do pericarpo, em resposta à hidratação da semente; essa ocorrência pode ser utilizada para estimar a qualidade da semente. O condicionamento não apresentou efeitos em sementes dormentes. O condicionamento das sementes de carvalho vermelho em água, com aeração, seguido pela seleção de sementes com ruptura do pericarpo, proporciona o rápido estabelecimento e uniformidade das plântulas