59 research outputs found
Fixation times in evolutionary games under weak selection
In evolutionary game dynamics, reproductive success increases with the
performance in an evolutionary game. If strategy performs better than
strategy , strategy will spread in the population. Under stochastic
dynamics, a single mutant will sooner or later take over the entire population
or go extinct. We analyze the mean exit times (or average fixation times)
associated with this process. We show analytically that these times depend on
the payoff matrix of the game in an amazingly simple way under weak selection,
ie strong stochasticity: The payoff difference is a linear
function of the number of individuals , . The
unconditional mean exit time depends only on the constant term . Given that
a single mutant takes over the population, the corresponding conditional
mean exit time depends only on the density dependent term . We demonstrate
this finding for two commonly applied microscopic evolutionary processes.Comment: Forthcoming in New Journal of Physic
Isolation of Salmonella enterica in seropositive classified finishing pig herds
The aim of this study was to assess the probability of detecting Salmonella from pen faecal samples in seropositive classified finishing pig herds. The study involved 77 herds from Denmark (20), the Netherlands (20), Greece (17) and Germany (20). The serological herd status was determined by the blood- sampling of 50 finishing pigs. Bacteriological sampling was performed by 20 pen faecal samples per herd. Over-all, 47 % of the blood samples had an OD% larger than 10 and 23 % larger than 40. Salmonella was isolated from 135 (9.3 %) pen faecal samples in 32 herds (42 %). Twenty-eight of these herds (87.5 %) had a within-herd seroprevalence larger than 50% at sample cut-off OD%\u3e10. A correlation coefficient of 0.62 was found between the proportion of culture positive- and seropositive samples in a herd at cut-off OD % \u3e 10 and of 0.58 at cut-off OD % \u3e 40. Due to the low sensitivity of culture methods, apparent ‘false positive’ serological results may well represent real infections not detected by bacteriological testing. In this study, there was an increasing probability of recovering Salmonella with increasing within-herd seroprevalence
The edge of neutral evolution in social dilemmas
The functioning of animal as well as human societies fundamentally relies on
cooperation. Yet, defection is often favorable for the selfish individual, and
social dilemmas arise. Selection by individuals' fitness, usually the basic
driving force of evolution, quickly eliminates cooperators. However, evolution
is also governed by fluctuations that can be of greater importance than fitness
differences, and can render evolution effectively neutral. Here, we investigate
the effects of selection versus fluctuations in social dilemmas. By studying
the mean extinction times of cooperators and defectors, a variable sensitive to
fluctuations, we are able to identify and quantify an emerging 'edge of neutral
evolution' that delineates regimes of neutral and Darwinian evolution. Our
results reveal that cooperation is significantly maintained in the neutral
regimes. In contrast, the classical predictions of evolutionary game theory,
where defectors beat cooperators, are recovered in the Darwinian regimes. Our
studies demonstrate that fluctuations can provide a surprisingly simple way to
partly resolve social dilemmas. Our methods are generally applicable to
estimate the role of random drift in evolutionary dynamics.Comment: 17 pages, 4 figure
Large Fluctuations and Fixation in Evolutionary Games
We study large fluctuations in evolutionary games belonging to the
coordination and anti-coordination classes. The dynamics of these games,
modeling cooperation dilemmas, is characterized by a coexistence fixed point
separating two absorbing states. We are particularly interested in the problem
of fixation that refers to the possibility that a few mutants take over the
entire population. Here, the fixation phenomenon is induced by large
fluctuations and is investigated by a semi-classical WKB
(Wentzel-Kramers-Brillouin) theory generalized to treat stochastic systems
possessing multiple absorbing states. Importantly, this method allows us to
analyze the combined influence of selection and random fluctuations on the
evolutionary dynamics \textit{beyond} the weak selection limit often considered
in previous works. We accurately compute, including pre-exponential factors,
the probability distribution function in the long-lived coexistence state and
the mean fixation time necessary for a few mutants to take over the entire
population in anti-coordination games, and also the fixation probability in the
coordination class. Our analytical results compare excellently with extensive
numerical simulations. Furthermore, we demonstrate that our treatment is
superior to the Fokker-Planck approximation when the selection intensity is
finite.Comment: 17 pages, 10 figures, to appear in JSTA
Quiet-Sun imaging asymmetries in NaI D1 compared with other strong Fraunhofer lines
Imaging spectroscopy of the solar atmosphere using the NaI D1 line yields
marked asymmetry between the blue and red line wings: sampling a quiet-Sun area
in the blue wing displays reversed granulation, whereas sampling in the red
wing displays normal granulation. The MgI b2 line of comparable strength does
not show this asymmetry, nor does the stronger CaII 8542 line. We demonstrate
the phenomenon with near-simultaneous spectral images in NaI D1, MgI b2, and
CaII 8542 from the Swedish 1-m Solar Telescope. We then explain it with
line-formation insights from classical 1D modeling and with a 3D
magnetohydrodynamical simulation combined with NLTE spectral line synthesis
that permits detailed comparison with the observations in a common format. The
cause of the imaging asymmetry is the combination of correlations between
intensity and Dopplershift modulation in granular overshoot and the sensitivity
to these of the steep profile flanks of the NaI D1 line. The MgI b2 line has
similar core formation but much wider wings due to larger opacity buildup and
damping in the photosphere. Both lines obtain marked core asymmetry from
photospheric shocks in or near strong magnetic concentrations, less from
higher-up internetwork shocks that produce similar asymmetry in the spatially
averaged CaII 8542 profile.Comment: Accepted by Astron & Astrophys. In each in-text citation the year
links to the corresponding ADS abstract pag
Herd-level risk factors for the introduction and spread of Salmonella in pig herds
Salmonella has been identified in all stages of pork production. Effons to decrease the Salmonella burden on society should be targeted at all levels of the production chain. One of the greatest challenges for Salmonella free or controlled pork production lies in identifying effective measures that can be taken at the herd-level
Evolutionary Games with Affine Fitness Functions: Applications to Cancer
We analyze the dynamics of evolutionary games in which fitness is defined as
an affine function of the expected payoff and a constant contribution. The
resulting inhomogeneous replicator equation has an homogeneous equivalent with
modified payoffs. The affine terms also influence the stochastic dynamics of a
two-strategy Moran model of a finite population. We then apply the affine
fitness function in a model for tumor-normal cell interactions to determine
which are the most successful tumor strategies. In order to analyze the
dynamics of concurrent strategies within a tumor population, we extend the
model to a three-strategy game involving distinct tumor cell types as well as
normal cells. In this model, interaction with normal cells, in combination with
an increased constant fitness, is the most effective way of establishing a
population of tumor cells in normal tissue.Comment: The final publication is available at http://www.springerlink.com,
http://dx.doi.org/10.1007/s13235-011-0029-
A European longitudinal study in Salmonella seronegative-and seropositive classified finishing pig herds
A study was performed to assess the stability of an assigned Salmonella status of finishing pig herds over time, seasonal variation in the incidence of herd infections, the herd incidence of Salmonella infections from the grower to the finisher production stage and the correlation between serological and bacteriological herd classification
- …