---
_id: '4242'
abstract:
- lang: eng
  text: 'Felsenstein distinguished two ways by which selection can directly strengthen
    isolation. First, a modifier that strengthens prezygotic isolation can be favored
    everywhere. This fits with the traditional view of reinforcement as an adaptation
    to reduce deleterious hybridization by strengthening assortative mating. Second,
    selection can favor association between different incompatibilities, despite recombination.
    We generalize this “two allele” model to follow associations among any number
    of incompatibilities, which may include both assortment and hybrid inviability.
    Our key argument is that this process, of coupling between incompatibilities,
    may be quite different from the usual view of reinforcement: strong isolation
    can evolve through the coupling of any kind of incompatibility, whether prezygotic
    or postzygotic. Single locus incompatibilities become coupled because associations
    between them increase the variance in compatibility, which in turn increases mean
    fitness if there is positive epistasis. Multiple incompatibilities, each maintained
    by epistasis, can become coupled in the same way. In contrast, a single-locus
    incompatibility can become coupled with loci that reduce the viability of haploid
    hybrids because this reduces harmful recombination. We obtain simple approximations
    for the limits of tight linkage, and strong assortment, and show how assortment
    alleles can invade through associations with other components of reproductive
    isolation.'
acknowledgement: "This work was supported by a Royal Society/Wolfson Research Merit
  award, and by a grant from the Natural Environment Research Council.\r\nWe are very
  grateful for insightful comments from S. P. Otto, and for helpful suggestions from
  the referees and the Associate Editor, Maria Servedio."
article_processing_charge: No
author:
- first_name: Nicholas H
  full_name: Barton, Nicholas H
  id: 4880FE40-F248-11E8-B48F-1D18A9856A87
  last_name: Barton
  orcid: 0000-0002-8548-5240
- first_name: Maria
  full_name: De Cara, Maria
  last_name: De Cara
citation:
  ama: Barton NH, De Cara M. The evolution of strong reproductive isolation. <i>Evolution;
    International Journal of Organic Evolution</i>. 2009;63(5):1171-1190. doi:<a href="https://doi.org/10.1111/j.1558-5646.2009.00622.x">10.1111/j.1558-5646.2009.00622.x</a>
  apa: Barton, N. H., &#38; De Cara, M. (2009). The evolution of strong reproductive
    isolation. <i>Evolution; International Journal of Organic Evolution</i>. Wiley.
    <a href="https://doi.org/10.1111/j.1558-5646.2009.00622.x">https://doi.org/10.1111/j.1558-5646.2009.00622.x</a>
  chicago: Barton, Nicholas H, and Maria De Cara. “The Evolution of Strong Reproductive
    Isolation.” <i>Evolution; International Journal of Organic Evolution</i>. Wiley,
    2009. <a href="https://doi.org/10.1111/j.1558-5646.2009.00622.x">https://doi.org/10.1111/j.1558-5646.2009.00622.x</a>.
  ieee: N. H. Barton and M. De Cara, “The evolution of strong reproductive isolation,”
    <i>Evolution; International Journal of Organic Evolution</i>, vol. 63, no. 5.
    Wiley, pp. 1171–1190, 2009.
  ista: Barton NH, De Cara M. 2009. The evolution of strong reproductive isolation.
    Evolution; International Journal of Organic Evolution. 63(5), 1171–1190.
  mla: Barton, Nicholas H., and Maria De Cara. “The Evolution of Strong Reproductive
    Isolation.” <i>Evolution; International Journal of Organic Evolution</i>, vol.
    63, no. 5, Wiley, 2009, pp. 1171–90, doi:<a href="https://doi.org/10.1111/j.1558-5646.2009.00622.x">10.1111/j.1558-5646.2009.00622.x</a>.
  short: N.H. Barton, M. De Cara, Evolution; International Journal of Organic Evolution
    63 (2009) 1171–1190.
corr_author: '1'
date_created: 2018-12-11T12:07:48Z
date_published: 2009-05-01T00:00:00Z
date_updated: 2025-09-30T09:52:11Z
day: '01'
ddc:
- '570'
department:
- _id: NiBa
doi: 10.1111/j.1558-5646.2009.00622.x
external_id:
  isi:
  - '000265145800006'
file:
- access_level: open_access
  checksum: 1920d2e25ef335833764256c1a47bbfb
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:11:46Z
  date_updated: 2020-07-14T12:46:25Z
  file_id: '4903'
  file_name: IST-2016-551-v1+1_BartonDeCaraRevNew.pdf
  file_size: 720913
  relation: main_file
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  content_type: application/pdf
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  date_created: 2018-12-12T10:11:47Z
  date_updated: 2020-07-14T12:46:25Z
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  file_name: IST-2016-551-v1+2_BartonDeCaraRevNewSI.pdf
  file_size: 290160
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file_date_updated: 2020-07-14T12:46:25Z
fulldoi: https://doi.org/10.1111/j.1558-5646.2009.00622.x
has_accepted_license: '1'
intvolume: '        63'
isi: 1
issue: '5'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Submitted Version
page: 1171 - 1190
publication: Evolution; International Journal of Organic Evolution
publication_status: published
publisher: Wiley
publist_id: '1866'
pubrep_id: '551'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The evolution of strong reproductive isolation
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 63
year: '2009'
...
---
_id: '3870'
abstract:
- lang: eng
  text: Games on graphs with omega-regular objectives provide a model for the control
    and synthesis of reactive systems. Every omega-regular objective can be decomposed
    into a safety part and a liveness part. The liveness part ensures that something
    good happens “eventually.” Two main strengths of the classical, infinite-limit
    formulation of liveness are robustness (independence from the granularity of transitions)
    and simplicity (abstraction of complicated time bounds). However, the classical
    liveness formulation suffers from the drawback that the time until something good
    happens may be unbounded. A stronger formulation of liveness, so-called finitary
    liveness, overcomes this drawback, while still retaining robustness and simplicity.
    Finitary liveness requires that there exists an unknown, fixed bound b such that
    something good happens within b transitions. While for one-shot liveness (reachability)
    objectives, classical and finitary liveness coincide, for repeated liveness (Buchi)
    objectives, the finitary formulation is strictly stronger. In this work we study
    games with finitary parity and Streett objectives. We prove the determinacy of
    these games, present algorithms for solving these games, and characterize the
    memory requirements of winning strategies. We show that finitary parity games
    can be solved in polynomial time, which is not known for infinitary parity games.
    For finitary Streett games, we give an EXPTIME algorithm and show that the problem
    is NP-hard. Our algorithms can be used, for example, for synthesizing controllers
    that do not let the response time of a system increase without bound.
acknowledgement: "This research was supported in part by the AFOSR MURI grant F49620-00-1-0327,
  the NSF grants CCR-0132780, CNS-0720884, and CCR- 225610, by the Swiss National
  Science Foundation, by the COMBEST project of the European Union, and EU-TMR network
  Games.\r\nWe thank anonymous reviewers for useful comments."
article_number: '1'
article_processing_charge: No
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Florian
  full_name: Horn, Florian
  id: 37327ACE-F248-11E8-B48F-1D18A9856A87
  last_name: Horn
citation:
  ama: Chatterjee K, Henzinger TA, Horn F. Finitary winning in omega-regular games.
    <i>ACM Transactions on Computational Logic</i>. 2009;11(1). doi:<a href="https://doi.org/10.1145/1614431.1614432">10.1145/1614431.1614432</a>
  apa: Chatterjee, K., Henzinger, T. A., &#38; Horn, F. (2009). Finitary winning in
    omega-regular games. <i>ACM Transactions on Computational Logic</i>. ACM. <a href="https://doi.org/10.1145/1614431.1614432">https://doi.org/10.1145/1614431.1614432</a>
  chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Florian Horn. “Finitary
    Winning in Omega-Regular Games.” <i>ACM Transactions on Computational Logic</i>.
    ACM, 2009. <a href="https://doi.org/10.1145/1614431.1614432">https://doi.org/10.1145/1614431.1614432</a>.
  ieee: K. Chatterjee, T. A. Henzinger, and F. Horn, “Finitary winning in omega-regular
    games,” <i>ACM Transactions on Computational Logic</i>, vol. 11, no. 1. ACM, 2009.
  ista: Chatterjee K, Henzinger TA, Horn F. 2009. Finitary winning in omega-regular
    games. ACM Transactions on Computational Logic. 11(1), 1.
  mla: Chatterjee, Krishnendu, et al. “Finitary Winning in Omega-Regular Games.” <i>ACM
    Transactions on Computational Logic</i>, vol. 11, no. 1, 1, ACM, 2009, doi:<a
    href="https://doi.org/10.1145/1614431.1614432">10.1145/1614431.1614432</a>.
  short: K. Chatterjee, T.A. Henzinger, F. Horn, ACM Transactions on Computational
    Logic 11 (2009).
corr_author: '1'
das_tickbox: '1'
date_created: 2018-12-11T12:05:37Z
date_published: 2009-10-01T00:00:00Z
date_updated: 2026-07-07T14:02:53Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.1145/1614431.1614432
ec_funded: 1
external_id:
  isi:
  - '000272039900001'
file:
- access_level: open_access
  checksum: 139c4586d24f11e5da31fb3a0cf96ef4
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:15:08Z
  date_updated: 2020-07-14T12:46:20Z
  file_id: '5125'
  file_name: IST-2012-53-v1+1_Finitary_winning_in_omega-regular_games.pdf
  file_size: 180082
  relation: main_file
file_date_updated: 2020-07-14T12:46:20Z
fulldoi: https://doi.org/10.1145/1614431.1614432
has_accepted_license: '1'
intvolume: '        11'
isi: 1
issue: '1'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Submitted Version
project:
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '215543'
  name: COMponent-Based Embedded Systems design Techniques
publication: ACM Transactions on Computational Logic
publication_status: published
publisher: ACM
publist_id: '2309'
pubrep_id: '53'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Finitary winning in omega-regular games
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 11
year: '2009'
...
---
_id: '517'
article_processing_charge: No
article_type: comment
author:
- first_name: Nicholas H
  full_name: Barton, Nicholas H
  id: 4880FE40-F248-11E8-B48F-1D18A9856A87
  last_name: Barton
  orcid: 0000-0002-8548-5240
citation:
  ama: 'Barton NH. Identity and coalescence in structured populations: A commentary
    on “Inbreeding coefficients and coalescence times” by Montgomery Slatkin. <i>Genetics
    Research</i>. 2008;89(5-6):475-477. doi:<a href="https://doi.org/10.1017/S0016672308009683">10.1017/S0016672308009683</a>'
  apa: 'Barton, N. H. (2008). Identity and coalescence in structured populations:
    A commentary on “Inbreeding coefficients and coalescence times” by Montgomery
    Slatkin. <i>Genetics Research</i>. Cambridge University Press. <a href="https://doi.org/10.1017/S0016672308009683">https://doi.org/10.1017/S0016672308009683</a>'
  chicago: 'Barton, Nicholas H. “Identity and Coalescence in Structured Populations:
    A Commentary on ‘Inbreeding Coefficients and Coalescence Times’ by Montgomery
    Slatkin.” <i>Genetics Research</i>. Cambridge University Press, 2008. <a href="https://doi.org/10.1017/S0016672308009683">https://doi.org/10.1017/S0016672308009683</a>.'
  ieee: 'N. H. Barton, “Identity and coalescence in structured populations: A commentary
    on ‘Inbreeding coefficients and coalescence times’ by Montgomery Slatkin,” <i>Genetics
    Research</i>, vol. 89, no. 5–6. Cambridge University Press, pp. 475–477, 2008.'
  ista: 'Barton NH. 2008. Identity and coalescence in structured populations: A commentary
    on ‘Inbreeding coefficients and coalescence times’ by Montgomery Slatkin. Genetics
    Research. 89(5–6), 475–477.'
  mla: 'Barton, Nicholas H. “Identity and Coalescence in Structured Populations: A
    Commentary on ‘Inbreeding Coefficients and Coalescence Times’ by Montgomery Slatkin.”
    <i>Genetics Research</i>, vol. 89, no. 5–6, Cambridge University Press, 2008,
    pp. 475–77, doi:<a href="https://doi.org/10.1017/S0016672308009683">10.1017/S0016672308009683</a>.'
  short: N.H. Barton, Genetics Research 89 (2008) 475–477.
date_created: 2018-12-11T11:46:55Z
date_published: 2008-10-29T00:00:00Z
date_updated: 2026-04-29T07:15:43Z
day: '29'
department:
- _id: NiBa
doi: 10.1017/S0016672308009683
external_id:
  isi:
  - '000207048900023'
fulldoi: https://doi.org/10.1017/S0016672308009683
intvolume: '        89'
isi: 1
issue: 5-6
language:
- iso: eng
month: '10'
oa_version: None
page: 475 - 477
publication: Genetics Research
publication_status: published
publisher: Cambridge University Press
publist_id: '7302'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Identity and coalescence in structured populations: A commentary on ''Inbreeding
  coefficients and coalescence times'' by Montgomery Slatkin'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 89
year: '2008'
...
