Author Correction: Genome sequencing and population genomic analyses provide insights into the adaptive landscape of silver birch

An amendment to this paper has been published and can be accessed via a link at the top of the paper.

In the version of this article initially published, there was a mistake in the calculation of the nucleotide mutation rate: 1 × 10 −9 mutations per site per generation was used, whereas the regression formula given by Lynch (M. Lynch, Trends Genet. 26, 345-352;2010), which was used in the published article, in fact provides a rate of 9.5 × 10 −9 mutations per site per generation. This error affects the interpretation of population-size changes over time and their possible correspondence with known geological events, as shown in the original Fig. 4 and supporting discussion in the text, as well as details in the Supplementary Note. Neither the data themselves nor any other results are affected.
Herein, the range of mutation rates and generation times is revised for silver birch to better reflect uncertainties in both parameters. These uncertainties are large in long-lived forest tree species, but the issue at hand is not specific to them. Even in a species as well studied as humans, there is still substantial uncertainty regarding the mutation rate, with a twofold difference between indirect estimates at ~10 -9 per base pair per year according to divergence, and direct estimates (obtained from pedigrees), in which estimates of approximately 0.5 × 10 -9 have been obtained (P. Moorjani, Z. Gao and M. Przeworski, PLoS Biol. 14, e2000744; 2016). The latter rate was used in the article that introduced the stairway plot method (X. Liu and Y.-X. Fu, Nat. Genet. 47, 555-559;2015). Regarding generation times, in natural stands, birch begins flowering around the age of 10 years. At the other extreme, the maximum age of a birch tree can be up to 120-150 years. An intermediate (average) value between age at maturity and maximum observed life span was used to estimate generation time in the tropical palm Euterpe globosa (L. Van Valen, Biotropica 7, 259-269;1975, and R. J. Petit and A. Hampe, Annu. Rev. Ecol. Evol. Syst. 37, 187-214;2006). Following a similar strategy would give a maximum generation time of 80 years for birch. The generationtime range was therefore revised in the calculations to the values 10, 40 and 80 years.
Because there are no estimates of the mutation rate available for birch, estimates from other plant species must be used as a proxy. For example, for Populus trichocarpa, a mutation rate was calculated on the basis of Arabidopsis thaliana mutation rates and fossil evidence  1596-1604; 2006) to better agree with fossil evidence, and multiplying by the generation time of birch (by using a range of 10, 40 and 80 years) would result in approximate lower bounds at 2.9 × 10 −9 , 1.2 × 10 -8 and 2.3 × 10 -8 , and upper bounds at 1.2 × 10 -8 , 4.5 × 10 -8 and 8.9 × 10 -8 mutations per site per generation, respectively.
Alternatively, mutation-rate estimates from other woody perennials can be used. In peach (Prunus persica), another woody tree species, parent-progeny sequencing has yielded a mutation rate of 7.77 × 10 −9 point mutations per site per generation (Z. Xie et al., Proc. Biol. Sci. 283, 20161016;2016), which is similar to the estimates for A. thaliana from mutation-accumulation lines (S. Ossowski et al., Science 327, 92-94;2009, and S. Yang et al., Nature 523, 463-467;2015), thus suggesting that mutation rate may not be dependent on generation time, possibly because of purifying background selection (M. Exposito-Alonso et al., PLoS Genet. 14, e1007155; 2018). Thus, one estimate of birch mutation rate can be obtained by simply assuming that the mutation rate per generation is similar across all woody tree species.
To account for the large uncertainty in mutation-rate estimates discussed above, Fig. 4 has been revised to incorporate a range of values. The mutation rate is first plotted by the rate estimated for peach, 7.77 × 10 −9 , and then the respective lower and upper bounds for each generation time, 2.9 × 10 −9 , 1.2 × 10 -8 , 2.3 × 10 -8 , 1.2 × 10 -8 , 4.5 × 10 -8 and 8.9 × 10 -8 mutations per site per generation, respectively. The curve of changes in effective population size (N e ) is not altered, but the absolute dates for the N e bottlenecks differ according to the assumed mutation rate and generation time. As such, the oldest bottleneck observed may be as young as ~2.6 million years ago (Mya) or as old as 34 Mya, instead of at the Cretaceous-Paleogene boundary, as reported in the original figure. Such a difference of greater than an order of magnitude highlights the problems inherent in all attempts to provide calendar dates for population genomic features, especially in long-lived perennials in which there is vast uncertainty in generation times and mutation rates.
Images of the original and corrected figure panels are shown in the correction notice.
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/ licenses/by/4.0/. Generation: 10 mu: 2.9 × 10 -9 Generation: 10 mu:  Varying mutation rates and generation times (described herein) were used to estimate historical population dynamics. The stairway plot shows that the B. pendula population has undergone bottlenecks that may be associated with some of the four known periods of major climate upheaval: the Cretaceous-Paleogene (K-Pg; green) the Eocene-Oligocene (E-Og; blue), the mid-Miocene (M; red) and the Pleistocene (Ple; purple). Data are median estimates from 200 bootstrap replicates (black lines) and 95% confidence intervals (shading). Tick marks along the x axis show estimates for the Matuyama-Brunhes (0.77 Mya), Calabrian (1.8 Mya) and Gelasian (2.58 Mya) borders, as well as the mid-Miocene disruption (14.5-14.8 Mya) and the E-Og (34 Mya) and K-Pg (66 Mya) events. As can be seen, no set of generation-time and mutation-rate assumptions yields an N e dip near the Cretaceous-Paleogene boundary.