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-Effective population sizes during chronic infection. Diamonds represent COALESCE estimates, squares represent RECOMBINE estimates, triangles represent FLUCTUATE estimates, and the horizontal line represents the boundary between stochasticity and determinism. Solid lines with solid symbols represent samples derived from peripheral blood cell viral DNA and dotted lines with open symbols represent samples derived from plasma virus RNA. * indicates DNA samples and # indicates RNA samples that tested significant using the modified Nei-Gojobori method. † indicates DNA samples that tested significant by Tajima's D test. ‡ indicates DNA samples and § indicates RNA samples that tested significant by Fu and Li's D* test. indicates samples that tested significant by the test for recurrent mutation. The arrows point to the time of the first observed fixation event. 

-Effective population sizes during chronic infection. Diamonds represent COALESCE estimates, squares represent RECOMBINE estimates, triangles represent FLUCTUATE estimates, and the horizontal line represents the boundary between stochasticity and determinism. Solid lines with solid symbols represent samples derived from peripheral blood cell viral DNA and dotted lines with open symbols represent samples derived from plasma virus RNA. * indicates DNA samples and # indicates RNA samples that tested significant using the modified Nei-Gojobori method. † indicates DNA samples that tested significant by Tajima's D test. ‡ indicates DNA samples and § indicates RNA samples that tested significant by Fu and Li's D* test. indicates samples that tested significant by the test for recurrent mutation. The arrows point to the time of the first observed fixation event. 

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Human immunodeficiency virus type 1 (HIV-1) has high replication and mutation rates that generate large census populations and high levels of genetic variation. We examined the roles of natural selection, population growth, random genetic drift, and recombination in shaping the variation in 1509 C2-V5 env sequences derived from nine men with chroni...

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... we can justify at minimum nine independent comparisons, We first determined which samples had no sites with more resulting in a correction of the significance level from 5% to than two cosegregating nucleotide states because the variation 0.55%. at such sites can be most parsimoniously explained by one Nucleotide sequence accession numbers: The GenBank acces- mutational event. For the remaining samples, we tested sion numbers are AF137629-AF138163, AF138166-AF138263, whether more sites than expected were unambiguously recur- AF138305-AF138703, and AF204402-AF204670 for the 1300 se- rently mutated (i.e., there were more than two cosegregating quences reported previously ( Shankarappa et al. 1999) and nucleotide states). To do this, we calculated how many sites AY348333-AY348528 and AY348532-AY348544 for the 209 fol- were expected to have been recurrently mutated by assuming low-up sequences reported herein. a Poisson mutational process with a mean conditioned upon the number of total sites and the number of variable sites. P values were generated from 10,000 independent replicates. RESULTS Estimating N e : Effective population sizes were estimated us- ing three coalescent-likelihood programs from the LAMARC Testing neutrality: Each of the three N e estimators we package ( Kuhner et al. 1995a). The first program, CO- employed assumed neutrality, so we first addressed this ALESCE, estimates assuming a single panmictic population assumption by applying three two-tailed statistical tests. (from participants 2 and 7) were found for which d n 10 5 /site/generation for point substitutions (Mansky 1996). exceeded d s (Figure 1, #). The samples for which neu- To qualitatively assess the effects of estimating for data with trality was rejected by this test did not tend to cluster at recombination under these three sets of assumptions, 10 inde- pendent replicates were generated under a neutral coalescent any particular time during infection (Figure 1). Further, model with recombination, using TREEVOLVE. We condi- the signal for selection tended to be sporadic, as evident radic excesses of nonsynonymous mutations in four of sions. Recombination can induce spuriously inferred parallel changes and reversions on the sample's phylog- the nine ...
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... we can justify at minimum nine independent comparisons, We first determined which samples had no sites with more resulting in a correction of the significance level from 5% to than two cosegregating nucleotide states because the variation 0.55%. at such sites can be most parsimoniously explained by one Nucleotide sequence accession numbers: The GenBank acces- mutational event. For the remaining samples, we tested sion numbers are AF137629-AF138163, AF138166-AF138263, whether more sites than expected were unambiguously recur- AF138305-AF138703, and AF204402-AF204670 for the 1300 se- rently mutated (i.e., there were more than two cosegregating quences reported previously ( Shankarappa et al. 1999) and nucleotide states). To do this, we calculated how many sites AY348333-AY348528 and AY348532-AY348544 for the 209 fol- were expected to have been recurrently mutated by assuming low-up sequences reported herein. a Poisson mutational process with a mean conditioned upon the number of total sites and the number of variable sites. P values were generated from 10,000 independent replicates. RESULTS Estimating N e : Effective population sizes were estimated us- ing three coalescent-likelihood programs from the LAMARC Testing neutrality: Each of the three N e estimators we package ( Kuhner et al. 1995a). The first program, CO- employed assumed neutrality, so we first addressed this ALESCE, estimates assuming a single panmictic population assumption by applying three two-tailed statistical tests. (from participants 2 and 7) were found for which d n 10 5 /site/generation for point substitutions (Mansky 1996). exceeded d s (Figure 1, #). The samples for which neu- To qualitatively assess the effects of estimating for data with trality was rejected by this test did not tend to cluster at recombination under these three sets of assumptions, 10 inde- pendent replicates were generated under a neutral coalescent any particular time during infection (Figure 1). Further, model with recombination, using TREEVOLVE. We condi- the signal for selection tended to be sporadic, as evident radic excesses of nonsynonymous mutations in four of sions. Recombination can induce spuriously inferred parallel changes and reversions on the sample's phylog- the nine ...
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... next addressed the infinite-sites assumption of eny. Furthermore, recombination is known to make Taj- ima's test conservative (Tajima 1989; Wall 1999; Tajima's and Fu and Li's tests. Thirty-three samples had no sites with more than two cosegregating nucleotide Schierup and Hein 2000). Figure 2 shows the distribu- tions of Tajima's test statistic for coalescent simulations states (data not shown). For the remaining 112 samples, 1 sample from participant 2 and 3 samples from partici- with and without recombination and demonstrates the reduction in variance induced by recombination. By pant 5 showed significantly more unambiguous recur- rent mutation than expected (Figure 1, ). This result comparing the 95% confidence intervals we calculated an average gain in power for Tajima's test of 11.8% by indicated that the assumption of a Poisson mutational process is largely valid for these samples. Furthermore, accounting for recombination. Using the null distributions with recombination, sig- because only 4 samples were found to have experienced significant excesses of unambiguous recurrent muta- nificant departures from the neutral expectation of Taji- ma's test (with excesses of low-frequency mutations) tion, diversifying selection was unlikely to have had a predominant role in the evolution of these ...
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... observed for 2 of the 145 samples, both from partic- ipant 3 (Figure 1, †). Only 1 sample that yielded signifi- The preceding analysis underestimates recurrent mu- tation, because it ignores parallel changes and rever- cance occurred after genetic diversity stabilized [taken viduals studied. For the other five individuals, the first fixation event happened before genetic diversity stabilized, the 2 samples from participant 6 occurred after genetic diversity stabilized. No departures from neutral expecta- as early as 1.5 years after seroconversion. In none of the individuals did the first fixation event happen after tions were detected by either test if recombination re- mained unacknowledged (data not shown). Accounting genetic diversity stabilized. The observed mean time to the first fixation event of 3.88 years is not significantly for recombination, therefore, revealed stronger evi- dence for nonneutral evolution in these ...
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... HIV-1 populations within infected individuals were from 311 to 4783 for COALESCE (Figure 1). RECOM- BINE, which relaxes the assumption of no recombina- experiencing recurring selective sweeps, we would ex- pect to detect fixation events occurring with high fre- tion, yielded estimates of N e from 326 to 2886 ( Figure 1). As expected, RECOMBINE yielded lower estimates quency. We therefore asked when the first fixation event occurred in each individual. The first fixation event than COALESCE. FLUCTUATE, which relaxes the as- sumption of a constant effective population size, is was defined as the first time a sample had a derived nucleotide state reach a frequency of 100% when it known to have an upward bias ( Kuhner et al. 1998) and yielded the highest estimates (from 439 to 1,063,776; started at 0% (sites that were initially polymorphic were disregarded because it was unknown when the initial Figure 1). The overestimates from FLUCTUATE were also consistent with sequences analyzed in the presence mutation events occurred). It is the neutral expectation that the first fixation event should occur after an average of unacknowledged recombination (Figure 3). All of the estimates of N e based on COALESCE and RECOMBINE, of 2N e generations, with variance on the order of N e 2 ( Rodrigo and Felsenstein 1999), which is also the and 88% of the estimates of N e based on FLUCTUATE, Figure 3.-Effects of estimating under vary- ing sets of assumptions. Sequences were simulated under a neutral coalescent model with recombi- nation. Solid bars represent Watterson's estimate of , open bars represent the estimate of from COALESCE, downward-hatched bars represent estimates of from FLUCTUATE, and upward- hatched bars represent estimates of from RE- COMBINE. The horizontal dashed line indicates the true parameter ...
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... HIV-1 populations within infected individuals were from 311 to 4783 for COALESCE (Figure 1). RECOM- BINE, which relaxes the assumption of no recombina- experiencing recurring selective sweeps, we would ex- pect to detect fixation events occurring with high fre- tion, yielded estimates of N e from 326 to 2886 ( Figure 1). As expected, RECOMBINE yielded lower estimates quency. We therefore asked when the first fixation event occurred in each individual. The first fixation event than COALESCE. FLUCTUATE, which relaxes the as- sumption of a constant effective population size, is was defined as the first time a sample had a derived nucleotide state reach a frequency of 100% when it known to have an upward bias ( Kuhner et al. 1998) and yielded the highest estimates (from 439 to 1,063,776; started at 0% (sites that were initially polymorphic were disregarded because it was unknown when the initial Figure 1). The overestimates from FLUCTUATE were also consistent with sequences analyzed in the presence mutation events occurred). It is the neutral expectation that the first fixation event should occur after an average of unacknowledged recombination (Figure 3). All of the estimates of N e based on COALESCE and RECOMBINE, of 2N e generations, with variance on the order of N e 2 ( Rodrigo and Felsenstein 1999), which is also the and 88% of the estimates of N e based on FLUCTUATE, Figure 3.-Effects of estimating under vary- ing sets of assumptions. Sequences were simulated under a neutral coalescent model with recombi- nation. Solid bars represent Watterson's estimate of , open bars represent the estimate of from COALESCE, downward-hatched bars represent estimates of from FLUCTUATE, and upward- hatched bars represent estimates of from RE- COMBINE. The horizontal dashed line indicates the true parameter ...
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... HIV-1 populations within infected individuals were from 311 to 4783 for COALESCE (Figure 1). RECOM- BINE, which relaxes the assumption of no recombina- experiencing recurring selective sweeps, we would ex- pect to detect fixation events occurring with high fre- tion, yielded estimates of N e from 326 to 2886 ( Figure 1). As expected, RECOMBINE yielded lower estimates quency. We therefore asked when the first fixation event occurred in each individual. The first fixation event than COALESCE. FLUCTUATE, which relaxes the as- sumption of a constant effective population size, is was defined as the first time a sample had a derived nucleotide state reach a frequency of 100% when it known to have an upward bias ( Kuhner et al. 1998) and yielded the highest estimates (from 439 to 1,063,776; started at 0% (sites that were initially polymorphic were disregarded because it was unknown when the initial Figure 1). The overestimates from FLUCTUATE were also consistent with sequences analyzed in the presence mutation events occurred). It is the neutral expectation that the first fixation event should occur after an average of unacknowledged recombination (Figure 3). All of the estimates of N e based on COALESCE and RECOMBINE, of 2N e generations, with variance on the order of N e 2 ( Rodrigo and Felsenstein 1999), which is also the and 88% of the estimates of N e based on FLUCTUATE, Figure 3.-Effects of estimating under vary- ing sets of assumptions. Sequences were simulated under a neutral coalescent model with recombi- nation. Solid bars represent Watterson's estimate of , open bars represent the estimate of from COALESCE, downward-hatched bars represent estimates of from FLUCTUATE, and upward- hatched bars represent estimates of from RE- COMBINE. The horizontal dashed line indicates the true parameter ...
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... below the inverse mutation rate, with average esti- On the basis of the foregoing, we propose that the mates of 1933 from COALESCE and 1195 from RECOM- appropriate mutation rate to use when relating the least BINE, both between one and two orders of magnitude frequent haplotype to the product N e is the effective lower than the inverse mutation rate (Figure 1). The mutation rate at the two highly diverse sites in question median from all estimates was 1810. This, together with rather than an average across all sites. From the gamma the analyses of selection above, suggests that stochastic distribution of rate heterogeneity, we estimated the ef- forces are important influences on these populations fective mutation rate for the class of highly diverse sites and are sufficient to explain much of the observed ge- to be 14, relative to a mean across all sites of 1. Thus, netic ...
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... et al. (1991) suggested that stably inte- amount of diversity, as shown in Figure 1, implies that the strength of natural selection remains equally stable grated proviral DNA may turn over more slowly than plasma viral RNA, thus providing a reason to analyze through chronic infection. It seems highly unlikely that the strength of natural selection should remain constant sequences from these two sources separately. In our previous study (Shankarappa et al. 1999), we found no through time and across individuals. The estimates of N e derived from COALESCE and differences in the development of diversity within time points or divergence from the founder strain between RECOMBINE were remarkably consistent within and among individuals, regardless of the presence or ab- cell-associated viral DNA and cell-free viral RNA sam- ples. Similarly, in this study, we found no differences in sence of a signal for selection. This suggests that the methods were relatively robust to violations of the as- the patterns of neutrality or the estimates of N e between viral DNA and RNA samples. This lack of difference sumption of no selection in these sequences. The higher may be explained by the fact that our DNA sampling estimates from FLUCTUATE were consistent with inap- protocol does not differentiate between more labile, propriately attempting to explain recombination by a intracellular but unintegrated, viral DNA and more sta- model of population growth. The rate heterogeneity we ble, integrated, proviral DNA. Furthermore, all three invoked to correct Rouzine and Coffin's estimate to 10 3 of these genomic forms probably turn over substantially can be explained by selection and/or recombination faster than the 6-month interval at which the samples (Yang 1994;Schierup and Hein 2000). We further were obtained (Ho et al. 1995;Wei et al. 1995; Perelson suggest that if one had adequate data to estimate Mittler et al. 1999;Ramratnam et al. ...

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... As a consequence, typical intra-host phylogenies are ladder-like, describing sequential replacement of pathogenic variants over time where only a few lineages coexist at any time-point but there is a rapid emergence of lineages though time (e.g., Bush et al., 1999;Lemey et al., 2006). In addition, sometimes the fate of intra-host pathogen populations can also be influenced by their effective population sizes (and their dynamics) and the generation time, especially in evolutionary scenarios driven by genetic drift (Frost et al., 2000;Lemey et al., 2006;Salemi, 2013;Shriner et al., 2004b). ...
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... by this indicating negative selection. Next, we calculated the ratio of nonsynonymous over synonymous mutations (dN/dS ratio) [60,61], finding that most regions of the integrase were under strong negative selection, including sites 72, 154, 165, and 265 (Additional file 2: Figure S1). In summary, we could not observe a clear contribution of genetic drift to the time trends of the examined substitutions. ...
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