---
_id: '14657'
abstract:
- lang: eng
text: 'Natural selection is usually studied between mutants that differ in reproductive
rate, but are subject to the same population structure. Here we explore how natural
selection acts on mutants that have the same reproductive rate, but different
population structures. In our framework, population structure is given by a graph
that specifies where offspring can disperse. The invading mutant disperses offspring
on a different graph than the resident wild-type. We find that more densely connected
dispersal graphs tend to increase the invader’s fixation probability, but the
exact relationship between structure and fixation probability is subtle. We present
three main results. First, we prove that if both invader and resident are on complete
dispersal graphs, then removing a single edge in the invader’s dispersal graph
reduces its fixation probability. Second, we show that for certain island models
higher invader’s connectivity increases its fixation probability, but the magnitude
of the effect depends on the exact layout of the connections. Third, we show that
for lattices the effect of different connectivity is comparable to that of different
fitness: for large population size, the invader’s fixation probability is either
constant or exponentially small, depending on whether it is more or less connected
than the resident.'
acknowledgement: K.C. acknowledges support from the ERC CoG 863818(ForM-SMArt). J.T.
is supported by Center for Foundations ofModern Computer Science (Charles Univ.
project UNCE/SCI/004).
article_number: '20230355'
article_processing_charge: Yes (in subscription journal)
article_type: original
author:
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Kamran
full_name: Kaveh, Kamran
last_name: Kaveh
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin A.
full_name: Nowak, Martin A.
last_name: Nowak
citation:
ama: Tkadlec J, Kaveh K, Chatterjee K, Nowak MA. Evolutionary dynamics of mutants
that modify population structure. Journal of the Royal Society, Interface.
2023;20(208). doi:10.1098/rsif.2023.0355
apa: Tkadlec, J., Kaveh, K., Chatterjee, K., & Nowak, M. A. (2023). Evolutionary
dynamics of mutants that modify population structure. Journal of the Royal
Society, Interface. The Royal Society. https://doi.org/10.1098/rsif.2023.0355
chicago: Tkadlec, Josef, Kamran Kaveh, Krishnendu Chatterjee, and Martin A. Nowak.
“Evolutionary Dynamics of Mutants That Modify Population Structure.” Journal
of the Royal Society, Interface. The Royal Society, 2023. https://doi.org/10.1098/rsif.2023.0355.
ieee: J. Tkadlec, K. Kaveh, K. Chatterjee, and M. A. Nowak, “Evolutionary dynamics
of mutants that modify population structure,” Journal of the Royal Society,
Interface, vol. 20, no. 208. The Royal Society, 2023.
ista: Tkadlec J, Kaveh K, Chatterjee K, Nowak MA. 2023. Evolutionary dynamics of
mutants that modify population structure. Journal of the Royal Society, Interface.
20(208), 20230355.
mla: Tkadlec, Josef, et al. “Evolutionary Dynamics of Mutants That Modify Population
Structure.” Journal of the Royal Society, Interface, vol. 20, no. 208,
20230355, The Royal Society, 2023, doi:10.1098/rsif.2023.0355.
short: J. Tkadlec, K. Kaveh, K. Chatterjee, M.A. Nowak, Journal of the Royal Society,
Interface 20 (2023).
date_created: 2023-12-10T23:00:58Z
date_published: 2023-11-29T00:00:00Z
date_updated: 2025-07-14T09:10:00Z
day: '29'
ddc:
- '000'
- '570'
department:
- _id: KrCh
doi: 10.1098/rsif.2023.0355
ec_funded: 1
external_id:
pmid:
- '38016637'
file:
- access_level: open_access
checksum: 2eefab13127c7786dbd33303c482a004
content_type: application/pdf
creator: dernst
date_created: 2023-12-11T11:10:32Z
date_updated: 2023-12-11T11:10:32Z
file_id: '14673'
file_name: 2023_RoyalInterface_Tkadlec.pdf
file_size: 1720243
relation: main_file
success: 1
file_date_updated: 2023-12-11T11:10:32Z
has_accepted_license: '1'
intvolume: ' 20'
issue: '208'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Journal of the Royal Society, Interface
publication_identifier:
eissn:
- 1742-5662
publication_status: published
publisher: The Royal Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Evolutionary dynamics of mutants that modify population structure
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: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 20
year: '2023'
...
---
_id: '7651'
abstract:
- lang: eng
text: The growth of snail shells can be described by simple mathematical rules.
Variation in a few parameters can explain much of the diversity of shell shapes
seen in nature. However, empirical studies of gastropod shell shape variation
typically use geometric morphometric approaches, which do not capture this growth
pattern. We have developed a way to infer a set of developmentally descriptive
shape parameters based on three-dimensional logarithmic helicospiral growth and
using landmarks from two-dimensional shell images as input. We demonstrate the
utility of this approach, and compare it to the geometric morphometric approach,
using a large set of Littorina saxatilis shells in which locally adapted populations
differ in shape. Our method can be modified easily to make it applicable to a
wide range of shell forms, which would allow for investigations of the similarities
and differences between and within many different species of gastropods.
article_number: '20190721'
article_processing_charge: No
article_type: original
author:
- first_name: J.
full_name: Larsson, J.
last_name: Larsson
- first_name: Anja M
full_name: Westram, Anja M
id: 3C147470-F248-11E8-B48F-1D18A9856A87
last_name: Westram
orcid: 0000-0003-1050-4969
- first_name: S.
full_name: Bengmark, S.
last_name: Bengmark
- first_name: T.
full_name: Lundh, T.
last_name: Lundh
- first_name: R. K.
full_name: Butlin, R. K.
last_name: Butlin
citation:
ama: Larsson J, Westram AM, Bengmark S, Lundh T, Butlin RK. A developmentally descriptive
method for quantifying shape in gastropod shells. Journal of The Royal Society
Interface. 2020;17(163). doi:10.1098/rsif.2019.0721
apa: Larsson, J., Westram, A. M., Bengmark, S., Lundh, T., & Butlin, R. K. (2020).
A developmentally descriptive method for quantifying shape in gastropod shells.
Journal of The Royal Society Interface. The Royal Society. https://doi.org/10.1098/rsif.2019.0721
chicago: Larsson, J., Anja M Westram, S. Bengmark, T. Lundh, and R. K. Butlin. “A
Developmentally Descriptive Method for Quantifying Shape in Gastropod Shells.”
Journal of The Royal Society Interface. The Royal Society, 2020. https://doi.org/10.1098/rsif.2019.0721.
ieee: J. Larsson, A. M. Westram, S. Bengmark, T. Lundh, and R. K. Butlin, “A developmentally
descriptive method for quantifying shape in gastropod shells,” Journal of The
Royal Society Interface, vol. 17, no. 163. The Royal Society, 2020.
ista: Larsson J, Westram AM, Bengmark S, Lundh T, Butlin RK. 2020. A developmentally
descriptive method for quantifying shape in gastropod shells. Journal of The Royal
Society Interface. 17(163), 20190721.
mla: Larsson, J., et al. “A Developmentally Descriptive Method for Quantifying Shape
in Gastropod Shells.” Journal of The Royal Society Interface, vol. 17,
no. 163, 20190721, The Royal Society, 2020, doi:10.1098/rsif.2019.0721.
short: J. Larsson, A.M. Westram, S. Bengmark, T. Lundh, R.K. Butlin, Journal of
The Royal Society Interface 17 (2020).
date_created: 2020-04-08T15:19:17Z
date_published: 2020-02-01T00:00:00Z
date_updated: 2021-01-12T08:14:41Z
day: '01'
ddc:
- '570'
department:
- _id: NiBa
doi: 10.1098/rsif.2019.0721
file:
- access_level: open_access
checksum: 4eb102304402f5c56432516b84df86d6
content_type: application/pdf
creator: dernst
date_created: 2020-04-14T12:31:16Z
date_updated: 2020-07-14T12:48:01Z
file_id: '7660'
file_name: 2020_JournRoyalSociety_Larsson.pdf
file_size: 1556190
relation: main_file
file_date_updated: 2020-07-14T12:48:01Z
has_accepted_license: '1'
intvolume: ' 17'
issue: '163'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
publication: Journal of The Royal Society Interface
publication_identifier:
eissn:
- 1742-5662
issn:
- 1742-5689
publication_status: published
publisher: The Royal Society
quality_controlled: '1'
scopus_import: 1
status: public
title: A developmentally descriptive method for quantifying shape in gastropod shells
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: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 17
year: '2020'
...
---
_id: '198'
abstract:
- lang: eng
text: We consider a class of students learning a language from a teacher. The situation
can be interpreted as a group of child learners receiving input from the linguistic
environment. The teacher provides sample sentences. The students try to learn
the grammar from the teacher. In addition to just listening to the teacher, the
students can also communicate with each other. The students hold hypotheses about
the grammar and change them if they receive counter evidence. The process stops
when all students have converged to the correct grammar. We study how the time
to convergence depends on the structure of the classroom by introducing and evaluating
various complexity measures. We find that structured communication between students,
although potentially introducing confusion, can greatly reduce some of the complexity
measures. Our theory can also be interpreted as applying to the scientific process,
where nature is the teacher and the scientists are the students.
article_number: '20180073'
article_processing_charge: No
article_type: original
author:
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- 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: Ibsen-Jensen R, Tkadlec J, Chatterjee K, Nowak M. Language acquisition with
communication between learners. Journal of the Royal Society Interface.
2018;15(140). doi:10.1098/rsif.2018.0073
apa: Ibsen-Jensen, R., Tkadlec, J., Chatterjee, K., & Nowak, M. (2018). Language
acquisition with communication between learners. Journal of the Royal Society
Interface. The Royal Society. https://doi.org/10.1098/rsif.2018.0073
chicago: Ibsen-Jensen, Rasmus, Josef Tkadlec, Krishnendu Chatterjee, and Martin
Nowak. “Language Acquisition with Communication between Learners.” Journal
of the Royal Society Interface. The Royal Society, 2018. https://doi.org/10.1098/rsif.2018.0073.
ieee: R. Ibsen-Jensen, J. Tkadlec, K. Chatterjee, and M. Nowak, “Language acquisition
with communication between learners,” Journal of the Royal Society Interface,
vol. 15, no. 140. The Royal Society, 2018.
ista: Ibsen-Jensen R, Tkadlec J, Chatterjee K, Nowak M. 2018. Language acquisition
with communication between learners. Journal of the Royal Society Interface. 15(140),
20180073.
mla: Ibsen-Jensen, Rasmus, et al. “Language Acquisition with Communication between
Learners.” Journal of the Royal Society Interface, vol. 15, no. 140, 20180073,
The Royal Society, 2018, doi:10.1098/rsif.2018.0073.
short: R. Ibsen-Jensen, J. Tkadlec, K. Chatterjee, M. Nowak, Journal of the Royal
Society Interface 15 (2018).
date_created: 2018-12-11T11:45:09Z
date_published: 2018-03-01T00:00:00Z
date_updated: 2023-10-18T06:36:00Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1098/rsif.2018.0073
ec_funded: 1
external_id:
isi:
- '000428576200023'
pmid:
- '29593089'
file:
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checksum: 444e1a9d98eb0e780671be82b13025f3
content_type: application/pdf
creator: dernst
date_created: 2019-02-12T07:54:37Z
date_updated: 2020-07-14T12:45:22Z
file_id: '5955'
file_name: 2018_RS_IbsenJensen.pdf
file_size: 219837
relation: main_file
file_date_updated: 2020-07-14T12:45:22Z
has_accepted_license: '1'
intvolume: ' 15'
isi: 1
issue: '140'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Submitted Version
pmid: 1
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
publication: Journal of the Royal Society Interface
publication_identifier:
eissn:
- 1742-5662
publication_status: published
publisher: The Royal Society
publist_id: '7715'
quality_controlled: '1'
related_material:
link:
- relation: supplementary_material
url: https://dx.doi.org/10.6084/m9.figshare.c.4028971
record:
- id: '9814'
relation: research_data
status: public
scopus_import: '1'
status: public
title: Language acquisition with communication between learners
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2018'
...