The DOI matches its Crossref record; 30 of the 30 references it cites were found in a registry or an index.
The evolution of interspecific mutualisms
Open accessAbstract
Interspecific mutualisms are widespread, but how they evolve is not clear. The Iterated Prisoner’s Dilemma is the main theoretical tool to study cooperation, but this model ignores ecological differences between partners and assumes that amounts exchanged cannot themselves evolve. A more realistic model incorporating these features shows that strategies that succeed with fixed exchanges (e.g., Tit-for-Tat) cannot explain mutualism when exchanges vary because the amount exchanged evolves to 0. For mutualism to evolve, increased investments in a partner must yield increased returns, and spatial structure in competitive interactions is required. Under these biologically plausible assumptions, mutualism evolves with surprising ease. This suggests that, contrary to the basic premise of past theoretical analyses, overcoming a potential host’s initial defenses may be a bigger obstacle for mutualism than the subsequent recurrence and spread of noncooperative mutants.
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Cites
Axelrod, R., & Hamilton, W. D. (1981) · Science · doi:10.1126/science.7466396 · Cited by 20,065
The Evolution of Reciprocal Altruism
Trivers, R. L. (1971) · The Quarterly Review of Biology · doi:10.1086/406755 · Cited by 11,010
Nielsen, R. P., & Axelrod, R. (1985) · The Academy of Management Review · doi:10.2307/257983 · Cited by 6,321
Evolutionary games and spatial chaos
Nowak, M. A., & May, R. M. (1992) · Nature · doi:10.1038/359826a0 · Cited by 4,463
THE MAJOR TRANSITIONS OF EVOLUTION
Leigh, E. G. (1995) · Evolution · doi:10.1111/j.1558-5646.1995.tb04464.x · Cited by 3,410
The Major Transitions in Evolution
Maynard Smith, J., & Szathmary, E. (1997) · Oxford University Press eBooks · doi:10.1093/oso/9780198502944.001.0001 · Cited by 2,551
A strategy of win-stay, lose-shift that outperforms tit-for-tat in the Prisoner's Dilemma game
Nowak, M., & Sigmund, K. (1993) · Nature · doi:10.1038/364056a0 · Cited by 1,797
Tit for tat in heterogeneous populations
Nowak, M. A., & Sigmund, K. (1992) · Nature · doi:10.1038/355250a0 · Cited by 1,029
The Further Evolution of Cooperation
Axelrod, R., & Dion, D. (1988) · Science · doi:10.1126/science.242.4884.1385 · Cited by 840
Molecular basis of symbiosis between Rhizobium and legumes
Freiberg, C., Fellay, R., Bairoch, A., Broughton, W. J., Rosenthal, A., & Perret, X. (1997) · Nature · doi:10.1038/387394a0 · Cited by 765
Cited by
Phenotypic Plasticity in the Interactions and Evolution of Species
Agrawal, A. A. (2001) · Science · doi:10.1126/science.1060701 · Cited by 1,630
Models of cooperation based on the Prisoner's Dilemma and the Snowdrift game
Doebeli, M., & Hauert, C. (2005) · Ecology Letters · doi:10.1111/j.1461-0248.2005.00773.x · Cited by 871
Self-citationThe evolution of plant–insect mutualisms
Bronstein, J. L., Alarcón, R., & Geber, M. (2006) · New Phytologist · doi:10.1111/j.1469-8137.2006.01864.x · Cited by 538
The exploitation of mutualisms
Bronstein, J. L. (2001) · Ecology Letters · doi:10.1046/j.1461-0248.2001.00218.x · Cited by 516
Evolutionary dynamics in structured populations
Nowak, M. A., Tarnita, C. E., & Antal, T. (2010) · Philosophical Transactions of the Royal Society B: Biological Sciences · doi:10.1098/rstb.2009.0215 · Cited by 512
Metadata
- Authors
- Doebeli, M., & Knowlton, N.
- Venue
- Proceedings of the National Academy of Sciences
- Published
- 1998-07-21
- Volume
- 95
- Issue
- 15
- Pages
- 8676-8680
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- OpenAlex
- W2046942447
- Cited by
- 476
- References
- 30
- FWCI
- 31.59
- Type
- journal article
- Language
- en
- Open access
- green
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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.