Cited by 802Evolution and Genetic DynamicsGenomics and Phylogenetic StudiesRNA and protein synthesis mechanisms

The DOI matches its Crossref record; 75 of the 77 references it cites were found in a registry or an index; 31 of the 53 sources its claims cite were checked for support.

RELAX: Detecting Relaxed Selection in a Phylogenetic Framework

Open access
Wertheim, Joel O., Murrell, Ben, Smith, Martin D., Kosakovsky Pond, Sergei L., Scheffler, Konrad·2015·Molecular Biology and Evolution

Abstract

Relaxation of selective strength, manifested as a reduction in the efficiency or intensity of natural selection, can drive evolutionary innovation and presage lineage extinction or loss of function. Mechanisms through which selection can be relaxed range from the removal of an existing selective constraint to a reduction in effective population size. Standard methods for estimating the strength and extent of purifying or positive selection from molecular sequence data are not suitable for detecting relaxed selection, because they lack power and can mistake an increase in the intensity of positive selection for relaxation of both purifying and positive selection. Here, we present a general hypothesis testing framework (RELAX) for detecting relaxed selection in a codon-based phylogenetic framework. Given two subsets of branches in a phylogeny, RELAX can determine whether selective strength was relaxed or intensified in one of these subsets relative to the other. We establish the validity of our test via simulations and show that it can distinguish between increased positive selection and a relaxation of selective strength. We also demonstrate the power of RELAX in a variety of biological scenarios where relaxation of selection has been hypothesized or demonstrated previously. We find that obligate and facultative γ-proteobacteria endosymbionts of insects are under relaxed selection compared with their free-living relatives and obligate endosymbionts are under relaxed selection compared with facultative endosymbionts. Selective strength is also relaxed in asexual Daphnia pulex lineages, compared with sexual lineages. Endogenous, nonfunctional, bornavirus-like elements are found to be under relaxed selection compared with exogenous Borna viruses. Finally, selection on the short-wavelength sensitive, SWS1, opsin genes in echolocating and nonecholocating bats is relaxed only in lineages in which this gene underwent pseudogenization; however, selection on the functional medium/long-wavelength sensitive opsin, M/LWS1, is found to be relaxed in all echolocating bats compared with nonecholocating bats.

Overview

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Written from the paper’s full text.

TL;DR

RELAX is a codon-based phylogenetic hypothesis test that detects relaxed or intensified selection by comparing the distribution of nonsynonymous/synonymous rate ratios (ω) between test and reference branch sets. It distinguishes relaxation from intensified positive selection and detects relaxed selection in endosymbionts, bat opsins, endogenous bornaviruses, and asexual *Daphnia pulex*.

Key findings

  • RELAX controls type I error at the nominal level: at *P* = 0.05, 52/1,000 simulated replicates rejected the null, giving an estimated type I error rate of 0.052 (95% CI: 0.040–0.068).
  • In power simulations, RELAX had 100% power to detect relaxed selection at *k* = 0.5 across three ω-distribution scenarios.
  • A single-ω-per-branch-partition approach misidentified intensified positive selection as relaxed selection in 100/100 replicates, whereas RELAX correctly identified intensified selection in 100/100 replicates with mean *k* = 3.79.
  • Empirical tests found relaxed selection in γ-proteobacteria endosymbionts vs. free-living relatives (*k* = 0.30, *P* < 0.0001), primary vs. secondary endosymbionts (*k* = 0.56, *P* < 0.0001), SWS1 pseudogenes in bats (*k* = 0.16, *P* < 0.0001), M/LWS1 in echolocating vs. tree/cave-roosting bats (*k* = 0.21, *P* = 0.0005), endogenous bornavirus elements (*k* = 0.02, *P* < 0.0001), and asexual *D. pulex* mitochondria (*k* = 0.63, *P* = 0.00003).

Methods

  • RELAX extends random effects branch-site (BS-REL) models: branches are partitioned a priori into test (T), reference (R), and optionally unclassified (U) sets; a selection intensity parameter *k* transforms the reference ω distribution to the test distribution, and a likelihood ratio test compares *k* = 1 (null) with a free *k* (alternative) using a 1-df χ² asymptotic distribution.
  • Simulations assessed type I error (1,000 codon alignments over the γ-proteobacteria phylogeny), power (three ω-distribution scenarios, 11 *k* values from 0 to 1, 100 replicates each), and robustness to increased positive selection (100 replicates over a four-taxon phylogeny).
  • Empirical data sets included 69 single-copy orthologs from 50 γ-proteobacteria species, bat SWS1 and M/LWS1 opsin genes, bornavirus nucleoprotein/EBLN-2 elements, and mitochondrial protein-coding regions from 27 *D. pulex* strains plus two *D. melanica* outgroups; alignments used MUSCLE and phylogenies used GTR + Γ4 in PhyML. RELAX is implemented in HyPhy v2.2 and Datamonkey.

Limitations

  • Stated: phylogenetic methods are uninformative about subbranch timescales; if episodic positive selection switches rapidly along a branch, the increased average ω can be indistinguishable from relaxation when ω remains below 1, and this can only be circumvented by sampling more sequences.
  • Stated: point estimates of *k* and ω lack reported sampling variances; high ω values are not reliably estimable due to flat likelihood surfaces; the General Descriptive model should not be used to select partitions for formal RELAX hypothesis testing because it would use the data twice and bias the test.
  • Evident from the text: empirical analyses rely on previously inferred phylogenies and alignments, and the *D. pulex* result conflicts with the recent-transition hypothesis of Tucker et al. (2013), a discrepancy the paper states it cannot resolve.

Model-written summary. Check it against the paper before relying on it.

Integrity signals

Registry

Crossref · 10.1093/molbev/msu400

Cites

75 of 75 references verified0 citation errors · 0 not checkable

Statistics

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Verification

Claims the paper makes

31 of 53 cited sources checked · 19 supported · 0 flagged · accuracy not yet measured

Show all 61 claims

  • It may state two separate claims as one. 31
  • Probably not a substantial claim. 34
56 of 56
  • The authors state this as an assumption.

    Site likelihoods are independent.

    “under the standard assumption of independence”
  • The authors state this as an assumption.

    Nucleotide substitution rates follow the general time reversible (GTR) form.

    “assumed to follow the general time reversible [GTR] form”
  • The paper relies on this without support.

    The phylogeny used in the analyses is accurate.

    “when provided with an accurate phylogeny”
  • The paper relies on this without support.

    Once a gene has lost functionality, purifying selection is expected to abate.

    “Once a gene has lost functionality, purifying selection is expected to abate”
  • The paper relies on this without support.

    The SWS1 gene has been lost in cave-roosting fruit bats and HDC echolocating species, but functional SWS1 genes have been maintained in tree-roosting and LDC echolocating species.

    “The SWS1 gene has been lost in caveroosting fruit bats and HDC echolocating species, but functional SWS1 genes have been maintained in tree-roosting and LDC echolocating species.”
  • The paper relies on this without support.

    The M/LWS1 gene has been retained across all documented bat species.

    “A second opsin gene involved in green-red vision, medium/long wavelength sensitive (M/LWS1), has been retained across all documented bat species.”
  • The paper relies on this without support.

    The Borna disease virus has experienced more recent endogenization events, such as integration into the 13-lined ground squirrel genome.

    “The virus has also experienced more recent endogenization events, such as the integration into the 13-lined ground squirrel genome.”
  • The paper relies on this without support.

    After the transition to asexuality, there is no longer segregation between the nuclear and mitochondrial genomes, and the mitochondrial and nuclear genomes are in complete linkage disequilibrium.

    “After the transition to asexuality, there is no longer segregation between the nuclear and mitochondrial genomes, and the mitochondrial and nuclear genomes are in complete linkage disequilibrium.”
  • The paper relies on this without support.

    If the endogenous viral elements were not subject to any level of purifying selection at the amino acid level, one would expect all the sites to evolve under an omega equal to 1.

    “If the endogenous viral elements were not subject to any level of purifying selection at the amino acid level, one would expect all the sites to evolve under an !equal to 1.”
9 of 9

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  1. Maynard Smith, 1978, The evolution of sex

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Metadata

Authors
Wertheim, J. O., Murrell, B., Smith, M. D., Kosakovsky Pond, S. L., & Scheffler, K.
Affiliations
  • University of California San Diego (US)
  • Stellenbosch University (ZA)
Corresponding author
  • Wertheim, Joel O.
  • Scheffler, Konrad
Venue
Molecular Biology and Evolution
Published
2014-12-23
Volume
32
Issue
3
Pages
820-832
ISSN
  • 0737-4038 (ISSN-L)
  • 1537-1719
OpenAlex
W2028098940
Cited by
778
References
77
Citations by year
2026: 113 · 2025: 85 · 2024: 119 · 2023: 86 · 2022: 101 · 2021: 79 · 2020: 56 · 2019: 54 · 2018: 32 · 2017: 30 · 2016: 18 · 2015: 5
FWCI
11.57
Type
journal article
Language
en
Open access
Locations
  • Molecular Biology and Evolution (publishedVersion)
  • PubMed Central (publishedVersion)
  • PubMed (publishedVersion)
  • eScholarship (California Digital Library) (submittedVersion)
Funders
  • International AIDS Vaccine Initiative
  • National Research Foundation
  • National Institutes of Health (AI090970, AI-36214)
  • Center for AIDS Research, University of Washington
  • University of California, San Diego
  • National Heart, Lung, and Blood Institute (U54HL108460)
  • National Institute on Drug Abuse (DA-034978, DP1DA034978)
  • National Institute of General Medical Sciences (GM093939, R01GM093939, U01GM110749)
  • National Institute of Allergy and Infectious Diseases (AI090970, AI110181, AI-100665, K24AI100665, K01AI110181, P30AI036214, U19AI090970)
Topics
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Evolution and Genetic Dynamics
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Genomics and Phylogenetic Studies
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › RNA and protein synthesis mechanisms
Keywords
relaxed selection, purifying selection, positive selection, endosymbionts, Daphnia pulex, asexual lineages, opsin genes, pseudogenization, echolocating bats
MeSH terms
Animals, Chiroptera, Codon, Computer Simulation, Daphnia, Models, Genetic, Phylogeny, Selection, Genetic, Sequence Analysis, DNA, Evolution, Molecular, Computational Biology, Gammaproteobacteria, Bornaviridae, Opsins

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