Student or educator? Sign up with your school email and get 6 months of Pro free.
Cited by 1,337

The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.

Evolutionary dynamics on graphs

Lieberman, Erez, Hauert, Christoph, Nowak, Martin A.·2005·Nature

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1038/nature03204

Cites

3 of 3 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Show all 3 references

Research works printed but not linked: 29

  1. Liggett, T. M. Stochastic Interacting Systems: Contact, Voter and Exclusion Processes (Springer, Berlin, 1999) · DOI · Paper page
  2. Durrett, R. & Levin, S. A. The importance of being discrete (and spatial). Theor. Popul. Biol. 46, 363–394 (1994) · DOI · Paper page
  3. Moran, P. A. P. Random processes in genetics. Proc. Camb. Phil. Soc. 54, 60–71 (1958) · DOI · Paper page
  4. Durrett, R. A. Lecture Notes on Particle Systems & Percolation (Wadsworth & Brooks/Cole Advanced Books & Software, Pacific Grove, 1988)
  5. Erdös, P. & Renyi, A. On the evolution of random graphs. Publ. Math. Inst. Hungarian Acad. Sci. 5, 17–61 (1960)
  6. Nagylaki, T. & Lucier, B. Numerical analysis of random drift in a cline. Genetics 94, 497–517 (1980) · doi:10.1093/genetics/94.2.497
  7. Wright, S. Evolution in Mendelian populations. Genetics 16, 97–159 (1931) · DOI · Paper page
  8. Wright, S. The roles of mutation, inbreeding, crossbreeding and selection in evolution. Proc. 6th Int. Congr. Genet. 1, 356–366 (1932)
  9. Fisher, R. A. & Ford, E. B. The “Sewall Wright Effect”. Heredity 4, 117–119 (1950) · doi:10.1038/hdy.1950.8
  10. Barton, N. The probability of fixation of a favoured allele in a subdivided population. Genet. Res. 62, 149–158 (1993) · DOI
  11. Whitlock, M. Fixation probability and time in subdivided populations. Genetics 164, 767–779 (2003) · DOI · Paper page
  12. Nowak, M. A. & May, R. M. The spatial dilemmas of evolution. Int. J. Bifurcation Chaos 3, 35–78 (1993) · DOI · Paper page
  13. Hauert, C. & Doebeli, M. Spatial structure often inhibits the evolution of cooperation in the snowdrift game. Nature 428, 643–646 (2004) · DOI · Paper page
  14. Maruyama, T. Effective number of alleles in a subdivided population. Theor. Popul. Biol. 1, 273–306 (1970) · DOI · Paper page
  15. Slatkin, M. Fixation probabilities and fixation times in a subdivided population. Evolution 35, 477–488 (1981) · DOI · Paper page
  16. Ebel, H. & Bornholdt, S. Coevolutionary games on networks. Phys. Rev. E. 66, 056118 (2002) · DOI · Paper page
  17. Abramson, G. & Kuperman, M. Social games in a social network. Phys. Rev. E. 63, 030901(R) (2001) · DOI · Paper page
  18. Tilman, D. & Karieva, P. (eds) Spatial Ecology: The Role of Space in Population Dynamics and Interspecific Interactions (Monographs in Population Biology, Princeton Univ. Press, Princeton, 1997) · DOI · Paper page
  19. Neuhauser, C. Mathematical challenges in spatial ecology. Not. AMS 48, 1304–1314 (2001)
  20. Pulliam, H. R. Sources, sinks, and population regulation. Am. Nat. 132, 652–661 (1988) · DOI · Paper page
  21. Hassell, M. P., Comins, H. N. & May, R. M. Species coexistence and self-organizing spatial dynamics. Nature 370, 290–292 (1994) · DOI · Paper page
  22. Reya, T., Morrison, S. J., Clarke, M. & Weissman, I. L. Stem cells, cancer, and cancer stem cells. Nature 414, 105–111 (2001) · DOI · Paper page
  23. Skyrms, B. & Pemantle, R. A dynamic model of social network formation. Proc. Nat. Acad. Sci. USA 97, 9340–9346 (2000) · DOI · Paper page
  24. Jackson, M. O. & Watts, A. On the formation of interaction networks in social coordination games. Games Econ. Behav. 41, 265–291 (2002) · DOI · Paper page
  25. Asavathiratham, C., Roy, S., Lesieutre, B. & Verghese, G. The influence model. IEEE Control Syst. Mag. 21, 52–64 (2001) · DOI · Paper page
  26. Newman, M. E. J. The structure of scientific collaboration networks. Proc. Natl Acad. Sci. USA 98, 404–409 (2001) · DOI · Paper page
  27. Boyd, S., Diaconis, P. & Xiao, L. Fastest mixing Markov chain on a graph. SIAM Rev. 46, 667–689 (2004) · DOI · Paper page
  28. Nakamaru, M., Matsuda, H. & Iwasa, Y. The evolution of cooperation in a lattice-structured population. J. Theor. Biol. 184, 65–81 (1997) · DOI · Paper page
  29. Bala, V. & Goyal, S. A noncooperative model of network formation. Econometrica 68, 1181–1229 (2000) · DOI · Paper page

Cited by

See all 1,337

Metadata

Authors
Lieberman, E., Hauert, C., & Nowak, M. A.
Venue
Nature
Published
2005-01
Volume
433
Issue
7023
Pages
312-316
ISSN
  • 0028-0836 (ISSN-L)
  • 1476-4687
OpenAlex
W2079460424
Cited by
1,337
References
3
FWCI
156.15
Type
journal article
Language
en
Open access
closed
Licence
www.springer.com/tdm (tdm)

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review

How to cite

Cite CoChat for the checks on this page, and the paper for its own findings.

This page
CoChat. (2026). Citation check: Evolutionary dynamics on graphs. https://app.cochat.ai/papers/10.1038/nature03204
The paper
Lieberman, E., Hauert, C., & Nowak, M. A. (2005). Evolutionary dynamics on graphs. Nature. https://doi.org/10.1038/nature03204

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.