In the non-repeat regions, we used Nei and Gojobori’s [27] method to estimate the number of synonymous substitutions per synonymous Selleckchem PD0325901 site (dS) and the number of nonsynonymous substitutions per nonsynonymous site (dN).
In preliminary analyses, more complicated methods [28] and [29] yielded essentially identical results, as expected because the number of substitutions per site was low in this case [30]. We computed the mean of all pairwise dS values, designated the synonymous nucleotide diversity (πS); and the mean of all pairwise dN values, designated the nonsynonymous nucleotide diversity (πN). Standard errors of πS and πN were estimated by the bootstrap method [30]; 1000 bootstrap samples were used. In computing πS and πN, we excluded from all pairwise comparisons any codon at which the alignment postulated a gap in any sequence. We estimated the haplotype diversity in non-repeat regions of the antigen-encoding loci by the formula: 1−∑i=1nxi2where n is the number of distinct haplotypes and xi is the sample frequency of the ith haplotype
(Ref. [31], p. 177). We used a randomization method to test whether the numbers of haplotypes and haplotype diversity differed between the NW and South. For a given locus, let N be the number of sequences available from the NW and M be the number of sequences available from the South. We created 1000 pseudo-data Veliparib chemical structure sets by sampling (with replacement) M sequences from the N sequences Electron transport chain collected from the NW. We then computed the numbers of haplotypes and the haplotype diversity for each pseudo-data set, and compared the real values with those computed for the pseudo-data sets. Numbers of cases of both P. falciparum and P. vivax showed an overall downward trend in both the NW and the South between 1979 and 2008, interrupted by several sharp peaks ( Fig. 2). For example, there were peaks of P. falciparum cases in both the NW and the South in 1984; and P. falciparum cases
peaked again in the NW in 1990 and in the South in 1989 ( Fig. 2A). Likewise, in the case of P. vivax, there were peaks in the NW in 1989–1991 and 1997–2001, while in the South there was a sharp peak in 1989 ( Fig. 2B). In spite of fluctuations, in the South both P. falciparum and P. vivax had declined to less than 5000 cases per year by 1990, and this level was maintained every year through 2008 ( Fig. 2). On the other hand, in the NW, infections with both parasites fell below 5000 only in 2004 ( Fig. 2). Thus, the sharp reduction in cases of both P. falciparum and P. vivax malaria occurred over a decade earlier in the South than in the NW and was thus sustained for a much longer time. In the South, the patterns of fluctuation in the two parasites were very similar (Fig. 2). In fact, in the South the correlation between the number of P. falciparum cases and the number of P. vivax cases was remarkably close (r = 0.927; P < 0.001; Fig. 3B).