---
_id: '1169'
abstract:
- lang: eng
  text: Dispersal is a crucial factor in natural evolution, since it determines the
    habitat experienced by any population and defines the spatial scale of interactions
    between individuals. There is compelling evidence for systematic differences in
    dispersal characteristics within the same population, i.e., genotype-dependent
    dispersal. The consequences of genotype-dependent dispersal on other evolutionary
    phenomena, however, are poorly understood. In this article we investigate the
    effect of genotype-dependent dispersal on spatial gene frequency patterns, using
    a generalization of the classical diffusion model of selection and dispersal.
    Dispersal is characterized by the variance of dispersal (diffusion coefficient)
    and the mean displacement (directional advection term). We demonstrate that genotype-dependent
    dispersal may change the qualitative behavior of Fisher waves, which change from
    being “pulled” to being “pushed” wave fronts as the discrepancy in dispersal between
    genotypes increases. The speed of any wave is partitioned into components due
    to selection, genotype-dependent variance of dispersal, and genotype-dependent
    mean displacement. We apply our findings to wave fronts maintained by selection
    against heterozygotes. Furthermore, we identify a benefit of increased variance
    of dispersal, quantify its effect on the speed of the wave, and discuss the implications
    for the evolution of dispersal strategies.
article_processing_charge: No
author:
- first_name: Sebastian
  full_name: Novak, Sebastian
  id: 461468AE-F248-11E8-B48F-1D18A9856A87
  last_name: Novak
  orcid: 0000-0002-2519-824X
- first_name: Richard
  full_name: Kollár, Richard
  last_name: Kollár
citation:
  ama: Novak S, Kollár R. Spatial gene frequency waves under genotype dependent dispersal.
    <i>Genetics</i>. 2017;205(1):367-374. doi:<a href="https://doi.org/10.1534/genetics.116.193946">10.1534/genetics.116.193946</a>
  apa: Novak, S., &#38; Kollár, R. (2017). Spatial gene frequency waves under genotype
    dependent dispersal. <i>Genetics</i>. Genetics Society of America. <a href="https://doi.org/10.1534/genetics.116.193946">https://doi.org/10.1534/genetics.116.193946</a>
  chicago: Novak, Sebastian, and Richard Kollár. “Spatial Gene Frequency Waves under
    Genotype Dependent Dispersal.” <i>Genetics</i>. Genetics Society of America, 2017.
    <a href="https://doi.org/10.1534/genetics.116.193946">https://doi.org/10.1534/genetics.116.193946</a>.
  ieee: S. Novak and R. Kollár, “Spatial gene frequency waves under genotype dependent
    dispersal,” <i>Genetics</i>, vol. 205, no. 1. Genetics Society of America, pp.
    367–374, 2017.
  ista: Novak S, Kollár R. 2017. Spatial gene frequency waves under genotype dependent
    dispersal. Genetics. 205(1), 367–374.
  mla: Novak, Sebastian, and Richard Kollár. “Spatial Gene Frequency Waves under Genotype
    Dependent Dispersal.” <i>Genetics</i>, vol. 205, no. 1, Genetics Society of America,
    2017, pp. 367–74, doi:<a href="https://doi.org/10.1534/genetics.116.193946">10.1534/genetics.116.193946</a>.
  short: S. Novak, R. Kollár, Genetics 205 (2017) 367–374.
date_created: 2018-12-11T11:50:31Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2025-07-10T11:50:13Z
day: '01'
ddc:
- '576'
department:
- _id: NiBa
doi: 10.1534/genetics.116.193946
ec_funded: 1
external_id:
  isi:
  - '000393677300025'
file:
- access_level: open_access
  checksum: 7c8ab79cda1f92760bbbbe0f53175bfc
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:10:43Z
  date_updated: 2020-07-14T12:44:37Z
  file_id: '4833'
  file_name: IST-2016-727-v1+1_SFC_Genetics_final.pdf
  file_size: 361500
  relation: main_file
file_date_updated: 2020-07-14T12:44:37Z
has_accepted_license: '1'
intvolume: '       205'
isi: 1
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Submitted Version
page: 367 - 374
project:
- _id: 25B1EC9E-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '618091'
  name: Speed of Adaptation in Population Genetics and Evolutionary Computation
- _id: 25B07788-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '250152'
  name: Limits to selection in biology and in evolutionary computation
publication: Genetics
publication_identifier:
  issn:
  - 0016-6731
publication_status: published
publisher: Genetics Society of America
publist_id: '6188'
pubrep_id: '727'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Spatial gene frequency waves under genotype dependent dispersal
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 205
year: '2017'
...
---
_id: '1191'
abstract:
- lang: eng
  text: Variation in genotypes may be responsible for differences in dispersal rates,
    directional biases, and growth rates of individuals. These traits may favor certain
    genotypes and enhance their spatiotemporal spreading into areas occupied by the
    less advantageous genotypes. We study how these factors influence the speed of
    spreading in the case of two competing genotypes under the assumption that spatial
    variation of the total population is small compared to the spatial variation of
    the frequencies of the genotypes in the population. In that case, the dynamics
    of the frequency of one of the genotypes is approximately described by a generalized
    Fisher–Kolmogorov–Petrovskii–Piskunov (F–KPP) equation. This generalized F–KPP
    equation with (nonlinear) frequency-dependent diffusion and advection terms admits
    traveling wave solutions that characterize the invasion of the dominant genotype.
    Our existence results generalize the classical theory for traveling waves for
    the F–KPP with constant coefficients. Moreover, in the particular case of the
    quadratic (monostable) nonlinear growth–decay rate in the generalized F–KPP we
    study in detail the influence of the variance in diffusion and mean displacement
    rates of the two genotypes on the minimal wave propagation speed.
acknowledgement: "We thank Nick Barton, Katarína Bod’ová, and Sr\r\n-\r\ndan Sarikas
  for constructive feed-\r\nback and support. Furthermore, we would like to express
  our deep gratitude to the anonymous referees (one\r\nof whom, Jimmy Garnier, agreed
  to reveal his identity) and the editor Max Souza, for very helpful and\r\ndetailed
  comments and suggestions that significantly helped us to improve the manuscript.
  This project has\r\nreceived funding from the European Union’s Seventh Framework
  Programme for research, technological\r\ndevelopment and demonstration under Grant
  Agreement 618091 Speed of Adaptation in Population Genet-\r\nics and Evolutionary
  Computation (SAGE) and the European Research Council (ERC) Grant No. 250152\r\n(SN),
  from the Scientific Grant Agency of the Slovak Republic under the Grant 1/0459/13
  and by the Slovak\r\nResearch and Development Agency under the Contract No. APVV-14-0378
  (RK). RK would also like to\r\nthank IST Austria for its hospitality during the
  work on this project."
article_processing_charge: No
arxiv: 1
author:
- first_name: Richard
  full_name: Kollár, Richard
  last_name: Kollár
- first_name: Sebastian
  full_name: Novak, Sebastian
  id: 461468AE-F248-11E8-B48F-1D18A9856A87
  last_name: Novak
  orcid: 0000-0002-2519-824X
citation:
  ama: Kollár R, Novak S. Existence of traveling waves for the generalized F–KPP equation.
    <i>Bulletin of Mathematical Biology</i>. 2017;79(3):525-559. doi:<a href="https://doi.org/10.1007/s11538-016-0244-3">10.1007/s11538-016-0244-3</a>
  apa: Kollár, R., &#38; Novak, S. (2017). Existence of traveling waves for the generalized
    F–KPP equation. <i>Bulletin of Mathematical Biology</i>. Springer. <a href="https://doi.org/10.1007/s11538-016-0244-3">https://doi.org/10.1007/s11538-016-0244-3</a>
  chicago: Kollár, Richard, and Sebastian Novak. “Existence of Traveling Waves for
    the Generalized F–KPP Equation.” <i>Bulletin of Mathematical Biology</i>. Springer,
    2017. <a href="https://doi.org/10.1007/s11538-016-0244-3">https://doi.org/10.1007/s11538-016-0244-3</a>.
  ieee: R. Kollár and S. Novak, “Existence of traveling waves for the generalized
    F–KPP equation,” <i>Bulletin of Mathematical Biology</i>, vol. 79, no. 3. Springer,
    pp. 525–559, 2017.
  ista: Kollár R, Novak S. 2017. Existence of traveling waves for the generalized
    F–KPP equation. Bulletin of Mathematical Biology. 79(3), 525–559.
  mla: Kollár, Richard, and Sebastian Novak. “Existence of Traveling Waves for the
    Generalized F–KPP Equation.” <i>Bulletin of Mathematical Biology</i>, vol. 79,
    no. 3, Springer, 2017, pp. 525–59, doi:<a href="https://doi.org/10.1007/s11538-016-0244-3">10.1007/s11538-016-0244-3</a>.
  short: R. Kollár, S. Novak, Bulletin of Mathematical Biology 79 (2017) 525–559.
date_created: 2018-12-11T11:50:38Z
date_published: 2017-03-01T00:00:00Z
date_updated: 2025-09-22T09:44:54Z
day: '01'
department:
- _id: NiBa
doi: 10.1007/s11538-016-0244-3
ec_funded: 1
external_id:
  arxiv:
  - '1607.00944'
  isi:
  - '000395156200005'
intvolume: '        79'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1607.00944
month: '03'
oa: 1
oa_version: Preprint
page: 525-559
project:
- _id: 25B1EC9E-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '618091'
  name: Speed of Adaptation in Population Genetics and Evolutionary Computation
- _id: 25B07788-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '250152'
  name: Limits to selection in biology and in evolutionary computation
publication: Bulletin of Mathematical Biology
publication_status: published
publisher: Springer
publist_id: '6160'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Existence of traveling waves for the generalized F–KPP equation
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 79
year: '2017'
...
---
_id: '910'
abstract:
- lang: eng
  text: "Frequency-independent selection is generally considered as a force that acts
    to reduce the genetic variation in evolving populations, yet rigorous arguments
    for this idea are scarce. When selection fluctuates in time, it is unclear whether
    frequency-independent selection may maintain genetic polymorphism without invoking
    additional mechanisms. We show that constant frequency-independent selection with
    arbitrary epistasis on a well-mixed haploid population eliminates genetic variation
    if we assume linkage equilibrium between alleles. To this end, we introduce the
    notion of frequency-independent selection at the level of alleles, which is sufficient
    to prove our claim and contains the notion of frequency-independent selection
    on haploids. When selection and recombination are weak but of the same order,
    there may be strong linkage disequilibrium; numerical calculations show that stable
    equilibria are highly unlikely. Using the example of a diallelic two-locus model,
    we then demonstrate that frequency-independent selection that fluctuates in time
    can maintain stable polymorphism if linkage disequilibrium changes its sign periodically.
    We put our findings in the context of results from the existing literature and
    point out those scenarios in which the possible role of frequency-independent
    selection in maintaining genetic variation remains unclear.\r\n"
article_processing_charge: No
author:
- first_name: Sebastian
  full_name: Novak, Sebastian
  id: 461468AE-F248-11E8-B48F-1D18A9856A87
  last_name: Novak
  orcid: 0000-0002-2519-824X
- 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: Novak S, Barton NH. When does frequency-independent selection maintain genetic
    variation? <i>Genetics</i>. 2017;207(2):653-668. doi:<a href="https://doi.org/10.1534/genetics.117.300129">10.1534/genetics.117.300129</a>
  apa: Novak, S., &#38; Barton, N. H. (2017). When does frequency-independent selection
    maintain genetic variation? <i>Genetics</i>. Genetics Society of America. <a href="https://doi.org/10.1534/genetics.117.300129">https://doi.org/10.1534/genetics.117.300129</a>
  chicago: Novak, Sebastian, and Nicholas H Barton. “When Does Frequency-Independent
    Selection Maintain Genetic Variation?” <i>Genetics</i>. Genetics Society of America,
    2017. <a href="https://doi.org/10.1534/genetics.117.300129">https://doi.org/10.1534/genetics.117.300129</a>.
  ieee: S. Novak and N. H. Barton, “When does frequency-independent selection maintain
    genetic variation?,” <i>Genetics</i>, vol. 207, no. 2. Genetics Society of America,
    pp. 653–668, 2017.
  ista: Novak S, Barton NH. 2017. When does frequency-independent selection maintain
    genetic variation? Genetics. 207(2), 653–668.
  mla: Novak, Sebastian, and Nicholas H. Barton. “When Does Frequency-Independent
    Selection Maintain Genetic Variation?” <i>Genetics</i>, vol. 207, no. 2, Genetics
    Society of America, 2017, pp. 653–68, doi:<a href="https://doi.org/10.1534/genetics.117.300129">10.1534/genetics.117.300129</a>.
  short: S. Novak, N.H. Barton, Genetics 207 (2017) 653–668.
corr_author: '1'
date_created: 2018-12-11T11:49:09Z
date_published: 2017-10-01T00:00:00Z
date_updated: 2025-04-15T08:22:21Z
day: '01'
ddc:
- '576'
department:
- _id: NiBa
doi: 10.1534/genetics.117.300129
ec_funded: 1
external_id:
  isi:
  - '000412232600019'
file:
- access_level: open_access
  checksum: f7c32dabf52e6d9e709d9203761e39fd
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:17:12Z
  date_updated: 2020-07-14T12:48:15Z
  file_id: '5264'
  file_name: IST-2018-974-v1+1_manuscript.pdf
  file_size: 494268
  relation: main_file
file_date_updated: 2020-07-14T12:48:15Z
has_accepted_license: '1'
intvolume: '       207'
isi: 1
issue: '2'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Submitted Version
page: 653 - 668
project:
- _id: 25B1EC9E-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '618091'
  name: Speed of Adaptation in Population Genetics and Evolutionary Computation
publication: Genetics
publication_status: published
publisher: Genetics Society of America
publist_id: '6533'
pubrep_id: '974'
quality_controlled: '1'
scopus_import: '1'
status: public
title: When does frequency-independent selection maintain genetic variation?
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 207
year: '2017'
...
---
_id: '9849'
abstract:
- lang: eng
  text: This text provides additional information about the model, a derivation of
    the analytic results in Eq (4), and details about simulations of an additional
    parameter set.
article_processing_charge: No
author:
- first_name: Marta
  full_name: Lukacisinova, Marta
  id: 4342E402-F248-11E8-B48F-1D18A9856A87
  last_name: Lukacisinova
  orcid: 0000-0002-2519-8004
- first_name: Sebastian
  full_name: Novak, Sebastian
  id: 461468AE-F248-11E8-B48F-1D18A9856A87
  last_name: Novak
  orcid: 0000-0002-2519-824X
- first_name: Tiago
  full_name: Paixao, Tiago
  id: 2C5658E6-F248-11E8-B48F-1D18A9856A87
  last_name: Paixao
  orcid: 0000-0003-2361-3953
citation:
  ama: Lukacisinova M, Novak S, Paixao T. Modelling and simulation details. 2017.
    doi:<a href="https://doi.org/10.1371/journal.pcbi.1005609.s001">10.1371/journal.pcbi.1005609.s001</a>
  apa: Lukacisinova, M., Novak, S., &#38; Paixao, T. (2017). Modelling and simulation
    details. Public Library of Science. <a href="https://doi.org/10.1371/journal.pcbi.1005609.s001">https://doi.org/10.1371/journal.pcbi.1005609.s001</a>
  chicago: Lukacisinova, Marta, Sebastian Novak, and Tiago Paixao. “Modelling and
    Simulation Details.” Public Library of Science, 2017. <a href="https://doi.org/10.1371/journal.pcbi.1005609.s001">https://doi.org/10.1371/journal.pcbi.1005609.s001</a>.
  ieee: M. Lukacisinova, S. Novak, and T. Paixao, “Modelling and simulation details.”
    Public Library of Science, 2017.
  ista: Lukacisinova M, Novak S, Paixao T. 2017. Modelling and simulation details,
    Public Library of Science, <a href="https://doi.org/10.1371/journal.pcbi.1005609.s001">10.1371/journal.pcbi.1005609.s001</a>.
  mla: Lukacisinova, Marta, et al. <i>Modelling and Simulation Details</i>. Public
    Library of Science, 2017, doi:<a href="https://doi.org/10.1371/journal.pcbi.1005609.s001">10.1371/journal.pcbi.1005609.s001</a>.
  short: M. Lukacisinova, S. Novak, T. Paixao, (2017).
date_created: 2021-08-09T14:02:34Z
date_published: 2017-07-18T00:00:00Z
date_updated: 2025-09-10T11:11:52Z
day: '18'
department:
- _id: ToBo
- _id: NiBa
- _id: CaGu
doi: 10.1371/journal.pcbi.1005609.s001
month: '07'
oa_version: Published Version
publisher: Public Library of Science
related_material:
  record:
  - id: '696'
    relation: used_in_publication
    status: public
status: public
title: Modelling and simulation details
type: research_data_reference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2017'
...
---
_id: '9850'
abstract:
- lang: eng
  text: In this text, we discuss how a cost of resistance and the possibility of lethal
    mutations impact our model.
article_processing_charge: No
author:
- first_name: Marta
  full_name: Lukacisinova, Marta
  id: 4342E402-F248-11E8-B48F-1D18A9856A87
  last_name: Lukacisinova
  orcid: 0000-0002-2519-8004
- first_name: Sebastian
  full_name: Novak, Sebastian
  id: 461468AE-F248-11E8-B48F-1D18A9856A87
  last_name: Novak
  orcid: 0000-0002-2519-824X
- first_name: Tiago
  full_name: Paixao, Tiago
  id: 2C5658E6-F248-11E8-B48F-1D18A9856A87
  last_name: Paixao
  orcid: 0000-0003-2361-3953
citation:
  ama: Lukacisinova M, Novak S, Paixao T. Extensions of the model. 2017. doi:<a href="https://doi.org/10.1371/journal.pcbi.1005609.s002">10.1371/journal.pcbi.1005609.s002</a>
  apa: Lukacisinova, M., Novak, S., &#38; Paixao, T. (2017). Extensions of the model.
    Public Library of Science. <a href="https://doi.org/10.1371/journal.pcbi.1005609.s002">https://doi.org/10.1371/journal.pcbi.1005609.s002</a>
  chicago: Lukacisinova, Marta, Sebastian Novak, and Tiago Paixao. “Extensions of
    the Model.” Public Library of Science, 2017. <a href="https://doi.org/10.1371/journal.pcbi.1005609.s002">https://doi.org/10.1371/journal.pcbi.1005609.s002</a>.
  ieee: M. Lukacisinova, S. Novak, and T. Paixao, “Extensions of the model.” Public
    Library of Science, 2017.
  ista: Lukacisinova M, Novak S, Paixao T. 2017. Extensions of the model, Public Library
    of Science, <a href="https://doi.org/10.1371/journal.pcbi.1005609.s002">10.1371/journal.pcbi.1005609.s002</a>.
  mla: Lukacisinova, Marta, et al. <i>Extensions of the Model</i>. Public Library
    of Science, 2017, doi:<a href="https://doi.org/10.1371/journal.pcbi.1005609.s002">10.1371/journal.pcbi.1005609.s002</a>.
  short: M. Lukacisinova, S. Novak, T. Paixao, (2017).
date_created: 2021-08-09T14:05:24Z
date_published: 2017-07-18T00:00:00Z
date_updated: 2025-09-10T11:11:52Z
day: '18'
department:
- _id: ToBo
- _id: CaGu
- _id: NiBa
doi: 10.1371/journal.pcbi.1005609.s002
month: '07'
oa_version: Published Version
publisher: Public Library of Science
related_material:
  record:
  - id: '696'
    relation: used_in_publication
    status: public
status: public
title: Extensions of the model
type: research_data_reference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2017'
...
---
_id: '9851'
abstract:
- lang: eng
  text: Based on the intuitive derivation of the dynamics of SIM allele frequency
    pM in the main text, we present a heuristic prediction for the long-term SIM allele
    frequencies with χ > 1 stresses and compare it to numerical simulations.
article_processing_charge: No
author:
- first_name: Marta
  full_name: Lukacisinova, Marta
  id: 4342E402-F248-11E8-B48F-1D18A9856A87
  last_name: Lukacisinova
  orcid: 0000-0002-2519-8004
- first_name: Sebastian
  full_name: Novak, Sebastian
  id: 461468AE-F248-11E8-B48F-1D18A9856A87
  last_name: Novak
  orcid: 0000-0002-2519-824X
- first_name: Tiago
  full_name: Paixao, Tiago
  id: 2C5658E6-F248-11E8-B48F-1D18A9856A87
  last_name: Paixao
  orcid: 0000-0003-2361-3953
citation:
  ama: Lukacisinova M, Novak S, Paixao T. Heuristic prediction for multiple stresses.
    2017. doi:<a href="https://doi.org/10.1371/journal.pcbi.1005609.s003">10.1371/journal.pcbi.1005609.s003</a>
  apa: Lukacisinova, M., Novak, S., &#38; Paixao, T. (2017). Heuristic prediction
    for multiple stresses. Public Library of Science. <a href="https://doi.org/10.1371/journal.pcbi.1005609.s003">https://doi.org/10.1371/journal.pcbi.1005609.s003</a>
  chicago: Lukacisinova, Marta, Sebastian Novak, and Tiago Paixao. “Heuristic Prediction
    for Multiple Stresses.” Public Library of Science, 2017. <a href="https://doi.org/10.1371/journal.pcbi.1005609.s003">https://doi.org/10.1371/journal.pcbi.1005609.s003</a>.
  ieee: M. Lukacisinova, S. Novak, and T. Paixao, “Heuristic prediction for multiple
    stresses.” Public Library of Science, 2017.
  ista: Lukacisinova M, Novak S, Paixao T. 2017. Heuristic prediction for multiple
    stresses, Public Library of Science, <a href="https://doi.org/10.1371/journal.pcbi.1005609.s003">10.1371/journal.pcbi.1005609.s003</a>.
  mla: Lukacisinova, Marta, et al. <i>Heuristic Prediction for Multiple Stresses</i>.
    Public Library of Science, 2017, doi:<a href="https://doi.org/10.1371/journal.pcbi.1005609.s003">10.1371/journal.pcbi.1005609.s003</a>.
  short: M. Lukacisinova, S. Novak, T. Paixao, (2017).
date_created: 2021-08-09T14:08:14Z
date_published: 2017-07-18T00:00:00Z
date_updated: 2025-09-10T11:11:52Z
day: '18'
department:
- _id: ToBo
- _id: CaGu
- _id: NiBa
doi: 10.1371/journal.pcbi.1005609.s003
month: '07'
oa_version: Published Version
publisher: Public Library of Science
related_material:
  record:
  - id: '696'
    relation: used_in_publication
    status: public
status: public
title: Heuristic prediction for multiple stresses
type: research_data_reference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2017'
...
---
_id: '9852'
abstract:
- lang: eng
  text: We show how different combination strategies affect the fraction of individuals
    that are multi-resistant.
article_processing_charge: No
author:
- first_name: Marta
  full_name: Lukacisinova, Marta
  id: 4342E402-F248-11E8-B48F-1D18A9856A87
  last_name: Lukacisinova
  orcid: 0000-0002-2519-8004
- first_name: Sebastian
  full_name: Novak, Sebastian
  id: 461468AE-F248-11E8-B48F-1D18A9856A87
  last_name: Novak
  orcid: 0000-0002-2519-824X
- first_name: Tiago
  full_name: Paixao, Tiago
  id: 2C5658E6-F248-11E8-B48F-1D18A9856A87
  last_name: Paixao
  orcid: 0000-0003-2361-3953
citation:
  ama: Lukacisinova M, Novak S, Paixao T. Resistance frequencies for different combination
    strategies. 2017. doi:<a href="https://doi.org/10.1371/journal.pcbi.1005609.s004">10.1371/journal.pcbi.1005609.s004</a>
  apa: Lukacisinova, M., Novak, S., &#38; Paixao, T. (2017). Resistance frequencies
    for different combination strategies. Public Library of Science. <a href="https://doi.org/10.1371/journal.pcbi.1005609.s004">https://doi.org/10.1371/journal.pcbi.1005609.s004</a>
  chicago: Lukacisinova, Marta, Sebastian Novak, and Tiago Paixao. “Resistance Frequencies
    for Different Combination Strategies.” Public Library of Science, 2017. <a href="https://doi.org/10.1371/journal.pcbi.1005609.s004">https://doi.org/10.1371/journal.pcbi.1005609.s004</a>.
  ieee: M. Lukacisinova, S. Novak, and T. Paixao, “Resistance frequencies for different
    combination strategies.” Public Library of Science, 2017.
  ista: Lukacisinova M, Novak S, Paixao T. 2017. Resistance frequencies for different
    combination strategies, Public Library of Science, <a href="https://doi.org/10.1371/journal.pcbi.1005609.s004">10.1371/journal.pcbi.1005609.s004</a>.
  mla: Lukacisinova, Marta, et al. <i>Resistance Frequencies for Different Combination
    Strategies</i>. Public Library of Science, 2017, doi:<a href="https://doi.org/10.1371/journal.pcbi.1005609.s004">10.1371/journal.pcbi.1005609.s004</a>.
  short: M. Lukacisinova, S. Novak, T. Paixao, (2017).
date_created: 2021-08-09T14:11:40Z
date_published: 2017-07-18T00:00:00Z
date_updated: 2025-09-10T11:11:52Z
day: '18'
department:
- _id: ToBo
- _id: CaGu
- _id: NiBa
doi: 10.1371/journal.pcbi.1005609.s004
month: '07'
oa_version: Published Version
publisher: Public Library of Science
related_material:
  record:
  - id: '696'
    relation: used_in_publication
    status: public
status: public
title: Resistance frequencies for different combination strategies
type: research_data_reference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2017'
...
---
_id: '696'
abstract:
- lang: eng
  text: Mutator strains are expected to evolve when the availability and effect of
    beneficial mutations are high enough to counteract the disadvantage from deleterious
    mutations that will inevitably accumulate. As the population becomes more adapted
    to its environment, both availability and effect of beneficial mutations necessarily
    decrease and mutation rates are predicted to decrease. It has been shown that
    certain molecular mechanisms can lead to increased mutation rates when the organism
    finds itself in a stressful environment. While this may be a correlated response
    to other functions, it could also be an adaptive mechanism, raising mutation rates
    only when it is most advantageous. Here, we use a mathematical model to investigate
    the plausibility of the adaptive hypothesis. We show that such a mechanism can
    be mantained if the population is subjected to diverse stresses. By simulating
    various antibiotic treatment schemes, we find that combination treatments can
    reduce the effectiveness of second-order selection on stress-induced mutagenesis.
    We discuss the implications of our results to strategies of antibiotic therapy.
article_number: e1005609
article_processing_charge: No
article_type: original
author:
- first_name: Marta
  full_name: Lukacisinova, Marta
  id: 4342E402-F248-11E8-B48F-1D18A9856A87
  last_name: Lukacisinova
  orcid: 0000-0002-2519-8004
- first_name: Sebastian
  full_name: Novak, Sebastian
  id: 461468AE-F248-11E8-B48F-1D18A9856A87
  last_name: Novak
  orcid: 0000-0002-2519-824X
- first_name: Tiago
  full_name: Paixao, Tiago
  id: 2C5658E6-F248-11E8-B48F-1D18A9856A87
  last_name: Paixao
  orcid: 0000-0003-2361-3953
citation:
  ama: 'Lukacisinova M, Novak S, Paixao T. Stress induced mutagenesis: Stress diversity
    facilitates the persistence of mutator genes. <i>PLoS Computational Biology</i>.
    2017;13(7). doi:<a href="https://doi.org/10.1371/journal.pcbi.1005609">10.1371/journal.pcbi.1005609</a>'
  apa: 'Lukacisinova, M., Novak, S., &#38; Paixao, T. (2017). Stress induced mutagenesis:
    Stress diversity facilitates the persistence of mutator genes. <i>PLoS Computational
    Biology</i>. Public Library of Science. <a href="https://doi.org/10.1371/journal.pcbi.1005609">https://doi.org/10.1371/journal.pcbi.1005609</a>'
  chicago: 'Lukacisinova, Marta, Sebastian Novak, and Tiago Paixao. “Stress Induced
    Mutagenesis: Stress Diversity Facilitates the Persistence of Mutator Genes.” <i>PLoS
    Computational Biology</i>. Public Library of Science, 2017. <a href="https://doi.org/10.1371/journal.pcbi.1005609">https://doi.org/10.1371/journal.pcbi.1005609</a>.'
  ieee: 'M. Lukacisinova, S. Novak, and T. Paixao, “Stress induced mutagenesis: Stress
    diversity facilitates the persistence of mutator genes,” <i>PLoS Computational
    Biology</i>, vol. 13, no. 7. Public Library of Science, 2017.'
  ista: 'Lukacisinova M, Novak S, Paixao T. 2017. Stress induced mutagenesis: Stress
    diversity facilitates the persistence of mutator genes. PLoS Computational Biology.
    13(7), e1005609.'
  mla: 'Lukacisinova, Marta, et al. “Stress Induced Mutagenesis: Stress Diversity
    Facilitates the Persistence of Mutator Genes.” <i>PLoS Computational Biology</i>,
    vol. 13, no. 7, e1005609, Public Library of Science, 2017, doi:<a href="https://doi.org/10.1371/journal.pcbi.1005609">10.1371/journal.pcbi.1005609</a>.'
  short: M. Lukacisinova, S. Novak, T. Paixao, PLoS Computational Biology 13 (2017).
corr_author: '1'
date_created: 2018-12-11T11:47:58Z
date_published: 2017-07-18T00:00:00Z
date_updated: 2026-04-02T22:31:06Z
day: '18'
ddc:
- '576'
department:
- _id: ToBo
- _id: NiBa
- _id: CaGu
doi: 10.1371/journal.pcbi.1005609
ec_funded: 1
external_id:
  isi:
  - '000406619800014'
file:
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  checksum: 9143c290fa6458ed2563bff4b295554a
  content_type: application/pdf
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  date_updated: 2020-07-14T12:47:46Z
  file_id: '5117'
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  file_size: 3775716
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file_date_updated: 2020-07-14T12:47:46Z
has_accepted_license: '1'
intvolume: '        13'
isi: 1
issue: '7'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: 25B1EC9E-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '618091'
  name: Speed of Adaptation in Population Genetics and Evolutionary Computation
publication: PLoS Computational Biology
publication_identifier:
  issn:
  - 1553-734X
publication_status: published
publisher: Public Library of Science
publist_id: '7004'
pubrep_id: '894'
quality_controlled: '1'
related_material:
  record:
  - id: '9849'
    relation: research_data
    status: public
  - id: '9850'
    relation: research_data
    status: public
  - id: '9851'
    relation: research_data
    status: public
  - id: '9852'
    relation: research_data
    status: public
  - id: '6263'
    relation: dissertation_contains
    status: public
scopus_import: '1'
status: public
title: 'Stress induced mutagenesis: Stress diversity facilitates the persistence of
  mutator genes'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 13
year: '2017'
...
---
_id: '1125'
abstract:
- lang: eng
  text: "Natural environments are never constant but subject to spatial and temporal
    change on\r\nall scales, increasingly so due to human activity. Hence, it is crucial
    to understand the\r\nimpact of environmental variation on evolutionary processes.
    In this thesis, I present\r\nthree topics that share the common theme of environmental
    variation, yet illustrate its\r\neffect from different perspectives.\r\nFirst,
    I show how a temporally fluctuating environment gives rise to second-order\r\nselection
    on a modifier for stress-induced mutagenesis. Without fluctuations, when\r\npopulations
    are adapted to their environment, mutation rates are minimized. I argue\r\nthat
    a stress-induced mutator mechanism may only be maintained if the population is\r\nrepeatedly
    subjected to diverse environmental challenges, and I outline implications of\r\nthe
    presented results to antibiotic treatment strategies.\r\nSecond, I discuss my
    work on the evolution of dispersal. Besides reproducing\r\nknown results about
    the effect of heterogeneous habitats on dispersal, it identifies\r\nspatial changes
    in dispersal type frequencies as a source for selection for increased\r\npropensities
    to disperse. This concept contains effects of relatedness that are known\r\nto
    promote dispersal, and I explain how it identifies other forces selecting for
    dispersal\r\nand puts them on a common scale.\r\nThird, I analyse genetic variances
    of phenotypic traits under multivariate stabilizing\r\nselection. For the case
    of constant environments, I generalize known formulae of\r\nequilibrium variances
    to multiple traits and discuss how the genetic variance of a focal\r\ntrait is
    influenced by selection on background traits. I conclude by presenting ideas and\r\npreliminary
    work aiming at including environmental fluctuations in the form of moving\r\ntrait
    optima into the model."
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Sebastian
  full_name: Novak, Sebastian
  id: 461468AE-F248-11E8-B48F-1D18A9856A87
  last_name: Novak
  orcid: 0000-0002-2519-824X
citation:
  ama: Novak S. Evolutionary proccesses in variable emvironments. 2016.
  apa: Novak, S. (2016). <i>Evolutionary proccesses in variable emvironments</i>.
    Institute of Science and Technology Austria.
  chicago: Novak, Sebastian. “Evolutionary Proccesses in Variable Emvironments.” Institute
    of Science and Technology Austria, 2016.
  ieee: S. Novak, “Evolutionary proccesses in variable emvironments,” Institute of
    Science and Technology Austria, 2016.
  ista: Novak S. 2016. Evolutionary proccesses in variable emvironments. Institute
    of Science and Technology Austria.
  mla: Novak, Sebastian. <i>Evolutionary Proccesses in Variable Emvironments</i>.
    Institute of Science and Technology Austria, 2016.
  short: S. Novak, Evolutionary Proccesses in Variable Emvironments, Institute of
    Science and Technology Austria, 2016.
corr_author: '1'
date_created: 2018-12-11T11:50:17Z
date_published: 2016-07-01T00:00:00Z
date_updated: 2025-09-29T11:57:07Z
day: '01'
ddc:
- '576'
degree_awarded: PhD
department:
- _id: NiBa
file:
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  checksum: 81dcc838dfcf7aa0b1a27ecf4fe2da4e
  content_type: application/pdf
  creator: dernst
  date_created: 2019-08-13T09:01:00Z
  date_updated: 2019-08-13T09:01:00Z
  file_id: '6811'
  file_name: Novak_thesis.pdf
  file_size: 3564901
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  checksum: 30808d2f7ca920e09f63a95cdc49bffd
  content_type: application/pdf
  creator: dernst
  date_created: 2021-02-22T13:42:47Z
  date_updated: 2021-02-22T13:42:47Z
  file_id: '9186'
  file_name: 2016_Novak_Thesis.pdf
  file_size: 2814384
  relation: main_file
  success: 1
file_date_updated: 2021-02-22T13:42:47Z
has_accepted_license: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: '124'
publication_identifier:
  issn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
publist_id: '6235'
related_material:
  record:
  - id: '2023'
    relation: part_of_dissertation
    status: public
status: public
supervisor:
- first_name: Nicholas H
  full_name: Barton, Nicholas H
  id: 4880FE40-F248-11E8-B48F-1D18A9856A87
  last_name: Barton
  orcid: 0000-0002-8548-5240
title: Evolutionary proccesses in variable emvironments
type: dissertation
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2016'
...
---
_id: '1809'
abstract:
- lang: eng
  text: 'Background: Indirect genetic effects (IGEs) occur when genes expressed in
    one individual alter the expression of traits in social partners. Previous studies
    focused on the evolutionary consequences and evolutionary dynamics of IGEs, using
    equilibrium solutions to predict phenotypes in subsequent generations. However,
    whether or not such steady states may be reached may depend on the dynamics of
    interactions themselves. Results: In our study, we focus on the dynamics of social
    interactions and indirect genetic effects and investigate how they modify phenotypes
    over time. Unlike previous IGE studies, we do not analyse evolutionary dynamics;
    rather we consider within-individual phenotypic changes, also referred to as phenotypic
    plasticity. We analyse iterative interactions, when individuals interact in a
    series of discontinuous events, and investigate the stability of steady state
    solutions and the dependence on model parameters, such as population size, strength,
    and the nature of interactions. We show that for interactions where a feedback
    loop occurs, the possible parameter space of interaction strength is fairly limited,
    affecting the evolutionary consequences of IGEs. We discuss the implications of
    our results for current IGE model predictions and their limitations.'
article_processing_charge: No
author:
- first_name: Barbora
  full_name: Trubenova, Barbora
  id: 42302D54-F248-11E8-B48F-1D18A9856A87
  last_name: Trubenova
  orcid: 0000-0002-6873-2967
- first_name: Sebastian
  full_name: Novak, Sebastian
  id: 461468AE-F248-11E8-B48F-1D18A9856A87
  last_name: Novak
  orcid: 0000-0002-2519-824X
- first_name: Reinmar
  full_name: Hager, Reinmar
  last_name: Hager
citation:
  ama: Trubenova B, Novak S, Hager R. Indirect genetic effects and the dynamics of
    social interactions. <i>PLoS One</i>. 2015;10(5). doi:<a href="https://doi.org/10.1371/journal.pone.0126907">10.1371/journal.pone.0126907</a>
  apa: Trubenova, B., Novak, S., &#38; Hager, R. (2015). Indirect genetic effects
    and the dynamics of social interactions. <i>PLoS One</i>. Public Library of Science.
    <a href="https://doi.org/10.1371/journal.pone.0126907">https://doi.org/10.1371/journal.pone.0126907</a>
  chicago: Trubenova, Barbora, Sebastian Novak, and Reinmar Hager. “Indirect Genetic
    Effects and the Dynamics of Social Interactions.” <i>PLoS One</i>. Public Library
    of Science, 2015. <a href="https://doi.org/10.1371/journal.pone.0126907">https://doi.org/10.1371/journal.pone.0126907</a>.
  ieee: B. Trubenova, S. Novak, and R. Hager, “Indirect genetic effects and the dynamics
    of social interactions,” <i>PLoS One</i>, vol. 10, no. 5. Public Library of Science,
    2015.
  ista: Trubenova B, Novak S, Hager R. 2015. Indirect genetic effects and the dynamics
    of social interactions. PLoS One. 10(5).
  mla: Trubenova, Barbora, et al. “Indirect Genetic Effects and the Dynamics of Social
    Interactions.” <i>PLoS One</i>, vol. 10, no. 5, Public Library of Science, 2015,
    doi:<a href="https://doi.org/10.1371/journal.pone.0126907">10.1371/journal.pone.0126907</a>.
  short: B. Trubenova, S. Novak, R. Hager, PLoS One 10 (2015).
corr_author: '1'
date_created: 2018-12-11T11:54:07Z
date_published: 2015-05-18T00:00:00Z
date_updated: 2025-09-23T09:21:54Z
day: '18'
ddc:
- '570'
- '576'
department:
- _id: NiBa
doi: 10.1371/journal.pone.0126907
external_id:
  isi:
  - '000354917300064'
file:
- access_level: open_access
  checksum: d3a4a58ef4bd3b3e2f32b7fd7af4a743
  content_type: application/pdf
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  date_created: 2018-12-12T10:09:07Z
  date_updated: 2020-07-14T12:45:17Z
  file_id: '4730'
  file_name: IST-2016-453-v1+1_journal.pone.0126907.pdf
  file_size: 2748982
  relation: main_file
file_date_updated: 2020-07-14T12:45:17Z
has_accepted_license: '1'
intvolume: '        10'
isi: 1
issue: '5'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
publication: PLoS One
publication_status: published
publisher: Public Library of Science
publist_id: '5299'
pubrep_id: '453'
quality_controlled: '1'
related_material:
  record:
  - id: '9715'
    relation: research_data
    status: public
  - id: '9772'
    relation: research_data
    status: public
scopus_import: '1'
status: public
title: Indirect genetic effects and the dynamics of social interactions
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 10
year: '2015'
...
---
_id: '1850'
abstract:
- lang: eng
  text: 'Entomopathogenic fungi are potent biocontrol agents that are widely used
    against insect pests, many of which are social insects. Nevertheless, theoretical
    investigations of their particular life history are scarce. We develop a model
    that takes into account the main distinguishing features between traditionally
    studied diseases and obligate killing pathogens, like the (biocontrol-relevant)
    insect-pathogenic fungi Metarhizium and Beauveria. First, obligate killing entomopathogenic
    fungi produce new infectious particles (conidiospores) only after host death and
    not yet on the living host. Second, the killing rates of entomopathogenic fungi
    depend strongly on the initial exposure dosage, thus we explicitly consider the
    pathogen load of individual hosts. Further, we make the model applicable not only
    to solitary host species, but also to group living species by incorporating social
    interactions between hosts, like the collective disease defences of insect societies.
    Our results identify the optimal killing rate for the pathogen that minimises
    its invasion threshold. Furthermore, we find that the rate of contact between
    hosts has an ambivalent effect: dense interaction networks between individuals
    are considered to facilitate disease outbreaks because of increased pathogen transmission.
    In social insects, this is compensated by their collective disease defences, i.e.,
    social immunity. For the type of pathogens considered here, we show that even
    without social immunity, high contact rates between live individuals dilute the
    pathogen in the host colony and hence can reduce individual pathogen loads below
    disease-causing levels.'
article_processing_charge: No
author:
- first_name: Sebastian
  full_name: Novak, Sebastian
  id: 461468AE-F248-11E8-B48F-1D18A9856A87
  last_name: Novak
  orcid: 0000-0002-2519-824X
- first_name: Sylvia
  full_name: Cremer, Sylvia
  id: 2F64EC8C-F248-11E8-B48F-1D18A9856A87
  last_name: Cremer
  orcid: 0000-0002-2193-3868
citation:
  ama: 'Novak S, Cremer S. Fungal disease dynamics in insect societies: Optimal killing
    rates and the ambivalent effect of high social interaction rates. <i>Journal of
    Theoretical Biology</i>. 2015;372(5):54-64. doi:<a href="https://doi.org/10.1016/j.jtbi.2015.02.018">10.1016/j.jtbi.2015.02.018</a>'
  apa: 'Novak, S., &#38; Cremer, S. (2015). Fungal disease dynamics in insect societies:
    Optimal killing rates and the ambivalent effect of high social interaction rates.
    <i>Journal of Theoretical Biology</i>. Elsevier. <a href="https://doi.org/10.1016/j.jtbi.2015.02.018">https://doi.org/10.1016/j.jtbi.2015.02.018</a>'
  chicago: 'Novak, Sebastian, and Sylvia Cremer. “Fungal Disease Dynamics in Insect
    Societies: Optimal Killing Rates and the Ambivalent Effect of High Social Interaction
    Rates.” <i>Journal of Theoretical Biology</i>. Elsevier, 2015. <a href="https://doi.org/10.1016/j.jtbi.2015.02.018">https://doi.org/10.1016/j.jtbi.2015.02.018</a>.'
  ieee: 'S. Novak and S. Cremer, “Fungal disease dynamics in insect societies: Optimal
    killing rates and the ambivalent effect of high social interaction rates,” <i>Journal
    of Theoretical Biology</i>, vol. 372, no. 5. Elsevier, pp. 54–64, 2015.'
  ista: 'Novak S, Cremer S. 2015. Fungal disease dynamics in insect societies: Optimal
    killing rates and the ambivalent effect of high social interaction rates. Journal
    of Theoretical Biology. 372(5), 54–64.'
  mla: 'Novak, Sebastian, and Sylvia Cremer. “Fungal Disease Dynamics in Insect Societies:
    Optimal Killing Rates and the Ambivalent Effect of High Social Interaction Rates.”
    <i>Journal of Theoretical Biology</i>, vol. 372, no. 5, Elsevier, 2015, pp. 54–64,
    doi:<a href="https://doi.org/10.1016/j.jtbi.2015.02.018">10.1016/j.jtbi.2015.02.018</a>.'
  short: S. Novak, S. Cremer, Journal of Theoretical Biology 372 (2015) 54–64.
corr_author: '1'
date_created: 2018-12-11T11:54:21Z
date_published: 2015-05-07T00:00:00Z
date_updated: 2025-09-23T08:54:35Z
day: '07'
ddc:
- '576'
department:
- _id: NiBa
- _id: SyCr
doi: 10.1016/j.jtbi.2015.02.018
ec_funded: 1
external_id:
  isi:
  - '000353311700006'
file:
- access_level: open_access
  checksum: 3c0dcacc900bc45cc65a453dfda4ca43
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:18:07Z
  date_updated: 2020-07-14T12:45:19Z
  file_id: '5326'
  file_name: IST-2015-329-v1+1_manuscript.pdf
  file_size: 1546914
  relation: main_file
file_date_updated: 2020-07-14T12:45:19Z
has_accepted_license: '1'
intvolume: '       372'
isi: 1
issue: '5'
language:
- iso: eng
month: '05'
oa: 1
oa_version: Submitted Version
page: 54 - 64
project:
- _id: 25B07788-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '250152'
  name: Limits to selection in biology and in evolutionary computation
- _id: 25DC711C-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '243071'
  name: 'Social Vaccination in Ant Colonies: from Individual Mechanisms to Society
    Effects'
publication: Journal of Theoretical Biology
publication_status: published
publisher: Elsevier
publist_id: '5251'
pubrep_id: '329'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Fungal disease dynamics in insect societies: Optimal killing rates and the
  ambivalent effect of high social interaction rates'
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 372
year: '2015'
...
---
_id: '9715'
article_processing_charge: No
author:
- first_name: Barbora
  full_name: Trubenova, Barbora
  id: 42302D54-F248-11E8-B48F-1D18A9856A87
  last_name: Trubenova
  orcid: 0000-0002-6873-2967
- first_name: Sebastian
  full_name: Novak, Sebastian
  id: 461468AE-F248-11E8-B48F-1D18A9856A87
  last_name: Novak
  orcid: 0000-0002-2519-824X
- first_name: Reinmar
  full_name: Hager, Reinmar
  last_name: Hager
citation:
  ama: Trubenova B, Novak S, Hager R. Mathematical inference of the results. 2015.
    doi:<a href="https://doi.org/10.1371/journal.pone.0126907.s001">10.1371/journal.pone.0126907.s001</a>
  apa: Trubenova, B., Novak, S., &#38; Hager, R. (2015). Mathematical inference of
    the results. Public Library of Science. <a href="https://doi.org/10.1371/journal.pone.0126907.s001">https://doi.org/10.1371/journal.pone.0126907.s001</a>
  chicago: Trubenova, Barbora, Sebastian Novak, and Reinmar Hager. “Mathematical Inference
    of the Results.” Public Library of Science, 2015. <a href="https://doi.org/10.1371/journal.pone.0126907.s001">https://doi.org/10.1371/journal.pone.0126907.s001</a>.
  ieee: B. Trubenova, S. Novak, and R. Hager, “Mathematical inference of the results.”
    Public Library of Science, 2015.
  ista: Trubenova B, Novak S, Hager R. 2015. Mathematical inference of the results,
    Public Library of Science, <a href="https://doi.org/10.1371/journal.pone.0126907.s001">10.1371/journal.pone.0126907.s001</a>.
  mla: Trubenova, Barbora, et al. <i>Mathematical Inference of the Results</i>. Public
    Library of Science, 2015, doi:<a href="https://doi.org/10.1371/journal.pone.0126907.s001">10.1371/journal.pone.0126907.s001</a>.
  short: B. Trubenova, S. Novak, R. Hager, (2015).
date_created: 2021-07-23T12:11:30Z
date_published: 2015-05-18T00:00:00Z
date_updated: 2025-09-23T09:21:54Z
day: '18'
department:
- _id: NiBa
doi: 10.1371/journal.pone.0126907.s001
month: '05'
oa_version: Published Version
publisher: Public Library of Science
related_material:
  record:
  - id: '1809'
    relation: used_in_publication
    status: public
status: public
title: Mathematical inference of the results
type: research_data_reference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2015'
...
---
_id: '9772'
article_processing_charge: No
author:
- first_name: Barbora
  full_name: Trubenova, Barbora
  id: 42302D54-F248-11E8-B48F-1D18A9856A87
  last_name: Trubenova
  orcid: 0000-0002-6873-2967
- first_name: Sebastian
  full_name: Novak, Sebastian
  id: 461468AE-F248-11E8-B48F-1D18A9856A87
  last_name: Novak
  orcid: 0000-0002-2519-824X
- first_name: Reinmar
  full_name: Hager, Reinmar
  last_name: Hager
citation:
  ama: Trubenova B, Novak S, Hager R. Description of the agent based simulations.
    2015. doi:<a href="https://doi.org/10.1371/journal.pone.0126907.s003">10.1371/journal.pone.0126907.s003</a>
  apa: Trubenova, B., Novak, S., &#38; Hager, R. (2015). Description of the agent
    based simulations. Public Library of Science. <a href="https://doi.org/10.1371/journal.pone.0126907.s003">https://doi.org/10.1371/journal.pone.0126907.s003</a>
  chicago: Trubenova, Barbora, Sebastian Novak, and Reinmar Hager. “Description of
    the Agent Based Simulations.” Public Library of Science, 2015. <a href="https://doi.org/10.1371/journal.pone.0126907.s003">https://doi.org/10.1371/journal.pone.0126907.s003</a>.
  ieee: B. Trubenova, S. Novak, and R. Hager, “Description of the agent based simulations.”
    Public Library of Science, 2015.
  ista: Trubenova B, Novak S, Hager R. 2015. Description of the agent based simulations,
    Public Library of Science, <a href="https://doi.org/10.1371/journal.pone.0126907.s003">10.1371/journal.pone.0126907.s003</a>.
  mla: Trubenova, Barbora, et al. <i>Description of the Agent Based Simulations</i>.
    Public Library of Science, 2015, doi:<a href="https://doi.org/10.1371/journal.pone.0126907.s003">10.1371/journal.pone.0126907.s003</a>.
  short: B. Trubenova, S. Novak, R. Hager, (2015).
date_created: 2021-08-05T12:55:20Z
date_published: 2015-05-18T00:00:00Z
date_updated: 2025-09-23T09:21:54Z
day: '18'
department:
- _id: NiBa
doi: 10.1371/journal.pone.0126907.s003
month: '05'
oa_version: Published Version
publisher: Public Library of Science
related_material:
  record:
  - id: '1809'
    relation: used_in_publication
    status: public
status: public
title: Description of the agent based simulations
type: research_data_reference
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2015'
...
---
_id: '2023'
abstract:
- lang: eng
  text: 'Understanding the evolution of dispersal is essential for understanding and
    predicting the dynamics of natural populations. Two main factors are known to
    influence dispersal evolution: spatio-temporal variation in the environment and
    relatedness between individuals. However, the relation between these factors is
    still poorly understood, and they are usually treated separately. In this article,
    I present a theoretical framework that contains and connects effects of both environmental
    variation and relatedness, and reproduces and extends their known features. Spatial
    habitat variation selects for balanced dispersal strategies, whereby the population
    is kept at an ideal free distribution. Within this class of dispersal strategies,
    I explain how increased dispersal is promoted by perturbations to the dispersal
    type frequencies. An explicit formula shows the magnitude of the selective advantage
    of increased dispersal in terms of the spatial variability in the frequencies
    of the different dispersal strategies present. These variances are capable of
    capturing various sources of stochasticity and hence establish a common scale
    for their effects on the evolution of dispersal. The results furthermore indicate
    an alternative approach to identifying effects of relatedness on dispersal evolution.'
article_processing_charge: No
author:
- first_name: Sebastian
  full_name: Novak, Sebastian
  id: 461468AE-F248-11E8-B48F-1D18A9856A87
  last_name: Novak
  orcid: 0000-0002-2519-824X
citation:
  ama: Novak S. Habitat heterogeneities versus spatial type frequency variances as
    driving forces of dispersal evolution. <i>Ecology and Evolution</i>. 2014;4(24):4589-4597.
    doi:<a href="https://doi.org/10.1002/ece3.1289">10.1002/ece3.1289</a>
  apa: Novak, S. (2014). Habitat heterogeneities versus spatial type frequency variances
    as driving forces of dispersal evolution. <i>Ecology and Evolution</i>. Wiley-Blackwell.
    <a href="https://doi.org/10.1002/ece3.1289">https://doi.org/10.1002/ece3.1289</a>
  chicago: Novak, Sebastian. “Habitat Heterogeneities versus Spatial Type Frequency
    Variances as Driving Forces of Dispersal Evolution.” <i>Ecology and Evolution</i>.
    Wiley-Blackwell, 2014. <a href="https://doi.org/10.1002/ece3.1289">https://doi.org/10.1002/ece3.1289</a>.
  ieee: S. Novak, “Habitat heterogeneities versus spatial type frequency variances
    as driving forces of dispersal evolution,” <i>Ecology and Evolution</i>, vol.
    4, no. 24. Wiley-Blackwell, pp. 4589–4597, 2014.
  ista: Novak S. 2014. Habitat heterogeneities versus spatial type frequency variances
    as driving forces of dispersal evolution. Ecology and Evolution. 4(24), 4589–4597.
  mla: Novak, Sebastian. “Habitat Heterogeneities versus Spatial Type Frequency Variances
    as Driving Forces of Dispersal Evolution.” <i>Ecology and Evolution</i>, vol.
    4, no. 24, Wiley-Blackwell, 2014, pp. 4589–97, doi:<a href="https://doi.org/10.1002/ece3.1289">10.1002/ece3.1289</a>.
  short: S. Novak, Ecology and Evolution 4 (2014) 4589–4597.
corr_author: '1'
date_created: 2018-12-11T11:55:16Z
date_published: 2014-11-27T00:00:00Z
date_updated: 2025-09-29T11:57:08Z
day: '27'
ddc:
- '570'
department:
- _id: NiBa
doi: 10.1002/ece3.1289
ec_funded: 1
external_id:
  isi:
  - '000346736200003'
file:
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  file_name: IST-2016-462-v1+1_Novak-2014-Ecology_and_Evolution.pdf
  file_size: 118813
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file_date_updated: 2020-07-14T12:45:25Z
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- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: 4589 - 4597
project:
- _id: 25B07788-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '250152'
  name: Limits to selection in biology and in evolutionary computation
publication: Ecology and Evolution
publication_status: published
publisher: Wiley-Blackwell
publist_id: '5049'
pubrep_id: '462'
quality_controlled: '1'
related_material:
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    status: public
scopus_import: '1'
status: public
title: Habitat heterogeneities versus spatial type frequency variances as driving
  forces of dispersal evolution
tmp:
  image: /images/cc_by.png
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  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 4
year: '2014'
...
---
_id: '2169'
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: Sebastian
  full_name: Novak, Sebastian
  id: 461468AE-F248-11E8-B48F-1D18A9856A87
  last_name: Novak
  orcid: 0000-0002-2519-824X
- first_name: Tiago
  full_name: Paixao, Tiago
  id: 2C5658E6-F248-11E8-B48F-1D18A9856A87
  last_name: Paixao
  orcid: 0000-0003-2361-3953
citation:
  ama: Barton NH, Novak S, Paixao T. Diverse forms of selection in evolution and computer
    science. <i>PNAS</i>. 2014;111(29):10398-10399. doi:<a href="https://doi.org/10.1073/pnas.1410107111">10.1073/pnas.1410107111</a>
  apa: Barton, N. H., Novak, S., &#38; Paixao, T. (2014). Diverse forms of selection
    in evolution and computer science. <i>PNAS</i>. National Academy of Sciences.
    <a href="https://doi.org/10.1073/pnas.1410107111">https://doi.org/10.1073/pnas.1410107111</a>
  chicago: Barton, Nicholas H, Sebastian Novak, and Tiago Paixao. “Diverse Forms of
    Selection in Evolution and Computer Science.” <i>PNAS</i>. National Academy of
    Sciences, 2014. <a href="https://doi.org/10.1073/pnas.1410107111">https://doi.org/10.1073/pnas.1410107111</a>.
  ieee: N. H. Barton, S. Novak, and T. Paixao, “Diverse forms of selection in evolution
    and computer science,” <i>PNAS</i>, vol. 111, no. 29. National Academy of Sciences,
    pp. 10398–10399, 2014.
  ista: Barton NH, Novak S, Paixao T. 2014. Diverse forms of selection in evolution
    and computer science. PNAS. 111(29), 10398–10399.
  mla: Barton, Nicholas H., et al. “Diverse Forms of Selection in Evolution and Computer
    Science.” <i>PNAS</i>, vol. 111, no. 29, National Academy of Sciences, 2014, pp.
    10398–99, doi:<a href="https://doi.org/10.1073/pnas.1410107111">10.1073/pnas.1410107111</a>.
  short: N.H. Barton, S. Novak, T. Paixao, PNAS 111 (2014) 10398–10399.
corr_author: '1'
date_created: 2018-12-11T11:56:07Z
date_published: 2014-07-22T00:00:00Z
date_updated: 2025-09-29T11:39:19Z
day: '22'
department:
- _id: NiBa
doi: 10.1073/pnas.1410107111
external_id:
  isi:
  - '000339310700017'
intvolume: '       111'
isi: 1
issue: '29'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC4115508/
month: '07'
oa: 1
oa_version: Submitted Version
page: 10398 - 10399
publication: PNAS
publication_status: published
publisher: National Academy of Sciences
publist_id: '4815'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Diverse forms of selection in evolution and computer science
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 111
year: '2014'
...
---
_id: '2817'
abstract:
- lang: eng
  text: The basic idea of evolutionary game theory is that payoff determines reproductive
    rate. Successful individuals have a higher payoff and produce more offspring.
    But in evolutionary and ecological situations there is not only reproductive rate
    but also carrying capacity. Individuals may differ in their exposure to density
    limiting effects. Here we explore an alternative approach to evolutionary game
    theory by assuming that the payoff from the game determines the carrying capacity
    of individual phenotypes. Successful strategies are less affected by density limitation
    (crowding) and reach higher equilibrium abundance. We demonstrate similarities
    and differences between our framework and the standard replicator equation. Our
    equation is defined on the positive orthant, instead of the simplex, but has the
    same equilibrium points as the replicator equation. Linear stability analysis
    produces the classical conditions for asymptotic stability of pure strategies,
    but the stability properties of internal equilibria can differ in the two frameworks.
    For example, in a two-strategy game with an internal equilibrium that is always
    stable under the replicator equation, the corresponding equilibrium can be unstable
    in the new framework resulting in a limit cycle.
article_processing_charge: No
author:
- first_name: Sebastian
  full_name: Novak, Sebastian
  id: 461468AE-F248-11E8-B48F-1D18A9856A87
  last_name: Novak
  orcid: 0000-0002-2519-824X
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
citation:
  ama: Novak S, Chatterjee K, Nowak M. Density games. <i>Journal of Theoretical Biology</i>.
    2013;334:26-34. doi:<a href="https://doi.org/10.1016/j.jtbi.2013.05.029">10.1016/j.jtbi.2013.05.029</a>
  apa: Novak, S., Chatterjee, K., &#38; Nowak, M. (2013). Density games. <i>Journal
    of Theoretical Biology</i>. Elsevier. <a href="https://doi.org/10.1016/j.jtbi.2013.05.029">https://doi.org/10.1016/j.jtbi.2013.05.029</a>
  chicago: Novak, Sebastian, Krishnendu Chatterjee, and Martin Nowak. “Density Games.”
    <i>Journal of Theoretical Biology</i>. Elsevier, 2013. <a href="https://doi.org/10.1016/j.jtbi.2013.05.029">https://doi.org/10.1016/j.jtbi.2013.05.029</a>.
  ieee: S. Novak, K. Chatterjee, and M. Nowak, “Density games,” <i>Journal of Theoretical
    Biology</i>, vol. 334. Elsevier, pp. 26–34, 2013.
  ista: Novak S, Chatterjee K, Nowak M. 2013. Density games. Journal of Theoretical
    Biology. 334, 26–34.
  mla: Novak, Sebastian, et al. “Density Games.” <i>Journal of Theoretical Biology</i>,
    vol. 334, Elsevier, 2013, pp. 26–34, doi:<a href="https://doi.org/10.1016/j.jtbi.2013.05.029">10.1016/j.jtbi.2013.05.029</a>.
  short: S. Novak, K. Chatterjee, M. Nowak, Journal of Theoretical Biology 334 (2013)
    26–34.
corr_author: '1'
date_created: 2018-12-11T11:59:45Z
date_published: 2013-10-07T00:00:00Z
date_updated: 2025-09-29T13:59:11Z
day: '07'
ddc:
- '000'
department:
- _id: NiBa
- _id: KrCh
doi: 10.1016/j.jtbi.2013.05.029
ec_funded: 1
external_id:
  isi:
  - '000323629500003'
file:
- access_level: open_access
  checksum: 3c29059ab03a4b8f97a07646b817ddbb
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:14:54Z
  date_updated: 2020-07-14T12:45:49Z
  file_id: '5110'
  file_name: IST-2016-400-v1+1_1-s2.0-S0022519313002609-main.pdf
  file_size: 834604
  relation: main_file
file_date_updated: 2020-07-14T12:45:49Z
has_accepted_license: '1'
intvolume: '       334'
isi: 1
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 26 - 34
project:
- _id: 25B07788-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '250152'
  name: Limits to selection in biology and in evolutionary computation
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication: Journal of Theoretical Biology
publication_status: published
publisher: Elsevier
publist_id: '3984'
pubrep_id: '400'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Density games
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 334
year: '2013'
...
---
_id: '1863'
abstract:
- lang: eng
  text: The Levene model is the simplest mathematical model to describe the evolution
    of gene frequencies in spatially subdivided populations. It provides insight into
    how locally varying selection promotes a population’s genetic diversity. Despite
    its simplicity, interesting problems have remained unsolved even in the diallelic
    case. In this paper we answer an open problem by establishing that for two alleles
    at one locus and J demes, up to 2J−1 polymorphic equilibria may coexist. We first
    present a proof for the case of stable monomorphisms and then show that the result
    also holds for protected alleles. These findings allow us to prove that any odd
    number (up to 2J−1) of equilibria is possible, before we extend the proof to even
    numbers. We conclude with some numerical results and show that for J&gt;2, the
    proportion of parameter space affording this maximum is extremely small.
acknowledgement: FWF 21305
author:
- first_name: Sebastian
  full_name: Sebastian Novak
  id: 461468AE-F248-11E8-B48F-1D18A9856A87
  last_name: Novak
citation:
  ama: Novak S. The number of equilibria in the diallelic Levene model with multiple
    demes. <i>Theoretical Population Biology</i>. 2011;79(3):97-101. doi:<a href="https://doi.org/10.1016/j.tpb.2010.12.002">10.1016/j.tpb.2010.12.002</a>
  apa: Novak, S. (2011). The number of equilibria in the diallelic Levene model with
    multiple demes. <i>Theoretical Population Biology</i>. Academic Press. <a href="https://doi.org/10.1016/j.tpb.2010.12.002">https://doi.org/10.1016/j.tpb.2010.12.002</a>
  chicago: Novak, Sebastian. “The Number of Equilibria in the Diallelic Levene Model
    with Multiple Demes.” <i>Theoretical Population Biology</i>. Academic Press, 2011.
    <a href="https://doi.org/10.1016/j.tpb.2010.12.002">https://doi.org/10.1016/j.tpb.2010.12.002</a>.
  ieee: S. Novak, “The number of equilibria in the diallelic Levene model with multiple
    demes,” <i>Theoretical Population Biology</i>, vol. 79, no. 3. Academic Press,
    pp. 97–101, 2011.
  ista: Novak S. 2011. The number of equilibria in the diallelic Levene model with
    multiple demes. Theoretical Population Biology. 79(3), 97–101.
  mla: Novak, Sebastian. “The Number of Equilibria in the Diallelic Levene Model with
    Multiple Demes.” <i>Theoretical Population Biology</i>, vol. 79, no. 3, Academic
    Press, 2011, pp. 97–101, doi:<a href="https://doi.org/10.1016/j.tpb.2010.12.002">10.1016/j.tpb.2010.12.002</a>.
  short: S. Novak, Theoretical Population Biology 79 (2011) 97–101.
date_created: 2018-12-11T11:54:25Z
date_published: 2011-05-01T00:00:00Z
date_updated: 2021-01-12T06:53:42Z
day: '01'
doi: 10.1016/j.tpb.2010.12.002
extern: 1
intvolume: '        79'
issue: '3'
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
month: '05'
page: 97 - 101
publication: Theoretical Population Biology
publication_status: published
publisher: Academic Press
publist_id: '5236'
quality_controlled: 0
status: public
title: The number of equilibria in the diallelic Levene model with multiple demes
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: journal_article
volume: 79
year: '2011'
...