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Predicting meningococcal disease outbreaks in structured populations.

Rational decision making on whether some form of intervention would be necessary to control the spread of a meningococcal epidemic is based on predictions concerning its potential natural progression. Unfortunately, reliable predictions are difficult to make during the early stages of an outbreak. A stochastic discrete time epidemic model was applied to adaptively predict the development of outbreaks of meningococcal disease in 'closed' populations such as military garrisons or boarding schools, which are further divided into subgroups called 'units'. The performance of the adaptive method was assessed by using 3 simulated epidemics representing substantially different realizations in a 'garrison' of 20 units, with 68 men in each. Predictions of the weekly number of disease cases, of the number of carriers, and of the number of new infections were computed. Simulations suggest that predictions based only on the observed numbers of disease cases are generally inaccurate. These predictions can be improved if temporal observations on asymptomatic carriers in different units are utilized together with observed time series of the disease. A sample of 15 per cent from all units can be sufficient for a major improvement if the alternative is to obtain a full sample of only some units. Exploiting fully such information requires computer intensive Markov chain Monte Carlo methods.

Disease Outbreaks↗

On the evolution of density dependent dispersal in a spatially structured population model.

A simple metapopulation lattice model of two competing phenotypes is presented, where one phenotype reacts more sensitively to overcrowding by migrating to neighbouring local habitats. The sensitivity is formulated by means of a threshold density of the subpopulations, above which dispersal is triggered off. If this threshold density is not very far from the local carrying capacity, an increased mobility provides benefits on the metapopulation level. At a surprisingly small difference between migrational triggering thresholds, the phenotype of larger mobility (or lower threshold) squeezes out the less mobile one from the whole system in a wide parameter range. Evolutionary considerations give an optimal threshold level for our model metapopulation.

Animals↗

Frequency-dependent selection in sexual family-structured populations.

In this paper, a two-phenotype, single-locus, n -allele matrix game diploid model incorporating interactions between full sibs influencing personal fitness is investigated. Necessary and sufficient conditions for an ESS are given. We show that if a strategy is an ESS for this model with the payoff matrix A, then it must be an ESS for the standard game formulation with payoff matrix A+(r/2) A(T) where r is the probability to interact with a sib, but it is also possible that no ESS exists. Moreover, under the assumption of weak selection, the partial change in phenotype frequencies brings the population closer to an ESS when it exists.

Altruism↗

Analysis of the population structure of three phenotypically different PSTVd isolates.

Phenotypically dissimilar greenhouse isolates from a Polish collection of potato spindle tuber viroid (PSTVd) were analysed. Partially purified PSTVd genomic RNAs from severe, intermediate and mild isolates was reverse transcribed and the resulting cDNAs enzymatically amplified. Abutting-primer PCR (Ab-P PCR) technology was used to obtain, in a single step, infectious full-length PSTVd cDNA monomers and these were sequenced. The mild isolate was found to be composed of a unique molecular variant (M), closely related to previously described PSTVd mild isolates. In the intermediate isolate, three variants, i2, i3 and i4, were detected. The severe isolate was found to be a mixture containing at least four molecular variants: s23, s27, i4 and i2. Infection of test plants with plasmids carrying monomeric cDNAs corresponding to each of the cloned variants confirmed that they are infectious. In addition, variant M produced mild symptoms, variants i2, i3, i4 intermediate symptoms and variants s23 and s27 severe symptoms. Therefore, the disease symptoms produced by a mixture are determined by the severe variants, masking the presence of milder ones. All the variants detected (except i2 which is identical to previously described PSTVd-DI) represent novel PSTVd sequences with point mutations located in the V and/or P domains. In particular, variants s23 and i4 represent shorter (358 nucleotides) versions of the PSTVd genome.

Base Sequence↗

Analysis of genetic diversity and population structure within Florida coconut (Cocos nucifera L.) germplasm using microsatellite DNA, with special emphasis on the Fiji Dwarf cultivar.

Using 15 simple sequence repeat (SSR) microsatellite DNA loci, we analyzed genetic variation within Cocos nucifera germplasm collections at two locations in south Florida, representing eight cultivars. The loci were also used in a parentage analysis of progeny of the 'Fiji Dwarf' variety at both locations. A total of 67 alleles were detected, with eight the highest number at any one locus. These loci identified 83 of the 110 individual palms. Gene diversity of the 15 loci ranged from 0.778 to 0.223, with a mean of 0.574. 'Fiji Dwarf', 'Malayan Dwarf', 'Green Niño' and 'Red Spicata' cultivars resolve as distinct clusters in a neighbor joining tree using modified Rogers distance, while the tall varieties form two aggregates. The highest gene diversity was found in the tall cultivars (H = 0.583 cumulatively), and the lowest in the 'Malayan Dwarf' (H = 0.202). After the tall coconuts, the 'Fiji Dwarf' was most genetically diverse (H = 0.436), and had the largest number of unique alleles. Genetic identity is highest among the 'Malayan Dwarf' phenotypes, and between the tall varieties. The 'Red Malayan Dwarf' is genetically distinct from the 'Green' and 'Yellow Malayan Dwarf' phenotypes, which cannot be distinguished with the SSR loci used. Off-type 'Malayan Dwarf' phenotypes (putative hybrids with talls) can be identified genotypically. Parentage analyses of 30 'Fiji Dwarf' progeny propagated from five adults surrounded by other cultivars estimate that only 20% of the progeny were out-crossed to the other varieties, while 40-46% were possible selfs. This suggests that a seed-production orchard of the variety maintained at reasonable distance from other varieties, will likely yield only 'Fiji Dwarf' genotypes. Our data are discussed in the context of hypotheses of coconut dissemination around the world.

Alleles↗

Microsatellite variability in peach [ Prunus persica (L.) Batsch]: cultivar identification, marker mutation, pedigree inferences and population structure.

A collection of 212 peach and nectarine cultivars covering a wide variation of the species were studied with 16 polymorphic single-locus microsatellite, or simple-sequence repeat (SSR), markers. The average number of alleles per locus was 7.3, 35% of the cultivar x locus combinations analyzed were heterozygous and 87% of the cultivars studied could be individually identified. Most of the groups where two or more cultivars had the same SSR fingerprint included known peach mutants or possible synonymies. Pedigree information was tested with the SSR data. Five unexpected genotypes, due to a mutation at five SSR loci were found when comparing the SSR fingerprint of 14 known mutant cultivars and putative synonymous cultivars. The pedigree data were not consistent with the observed data in 11 out of 38 cases that could be analyzed. The group of non-melting fruit flesh cultivars, generally used by the canning industry, was more variable and genetically distant than the rest of the cultivars tested. Based on their level of homozygosity it was possible to separate those cultivars that were obtained by modern breeding technologies from those that were selected from traditional orchards after generations of seed propagation. The former had a distribution of genotypic frequencies close to a random mating model while the latter had a higher level of homozygosity. The implications of these data for the use of SSR fingerprints in breeder's rights protection and peach breeding are discussed.

Heterozygote↗

Malthusian parameters, reproductive values and change under selection in self fertilizing age-structured populations.

A population, reproducing wholly by selfing, is assumed to be observed at times 0,1,.... Individuals between x-1 and x units of age at time t are said to be in age class x at that time. The rate of increase in the long run of individuals of type A(iA)(j) is denoted by m(ij)+1= m(ji)+1. For each genotype there is also a set of reproductive values, corresponding to all age classes and genotypes of individuals having descendants of that genotype. Then, if the number of individuals of each sort of ancestor is multiplied by its reproductive value and the products are summed, the result is the total value, which is V(ij)( t) for genotype A(iA)(j). Then V(ij)( t+1)- V(ij)( t) is equal to m(ij) V(ij)( t), where m(ij) is the Malthusian parameter for A(iA)(j). Furthermore, if the mean and variance at time t of the m(ij)'s, weighted by their corresponding reproductive values, are respectively ( t) and Sigma(m)(2)( t), then m( t+1)-m( t)=Sigma(m)(2)( t)/(1+m( t)).

Age Factors↗

A deterministic size-structured population model for the worm Naidis elinguis.

In this paper we model the population dynamics of the worm Nais elinguis, which reproduces by division into two unequal parts. By using renewal theory we derive the asymptotic behaviour of a Naidis elinguis population. In particular we prove a certain relation between the fraction of the population that was born small (respectively the fraction that was born large) and the inter-division times.

Animals↗