Evidence map›Paper›PMID 41417606›Full record

ArticleProceedings of the National Academy of Sciences of the United States of America2025

Neutral theory of cooperative dynamics.

Jordi Piñero, Artemy Kolchinsky, Sidney Redner, Ricard Solé

Abstract read
In one paragraph

Article in Proceedings of the National Academy of Sciences of the United States of America, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it
0cells of the map it votes in
1citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

  1. Coevolution of Codependent Hosts and Symbionts.bioRxiv : the preprint server for biology · 2026
    Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Jordi Piñero *Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824.ORCID 0000-0002-4183-3733
Artemy Kolchinsky *Institució Catalana de Recerca i Estudis Avançats-Complex Systems Lab, Department of Medicine and Life Sciences, Universitat Pompeu Fabra, Barcelona 08003, Spain.ORCID 0000-0002-3518-9208
Sidney RednerSanta Fe Institute, Santa Fe, NM 87501.ORCID 0000-0001-5906-4904
Ricard SoléInstitució Catalana de Recerca i Estudis Avançats-Complex Systems Lab, Department of Medicine and Life Sciences, Universitat Pompeu Fabra, Barcelona 08003, Spain.ORCID 0000-0001-6974-1008

Funding

Government of Catalonia | Agència de Gestió d'Ajuts Universitaris i de Recerca (AGAUR) 2021 SGR 0075John Templeton Foundation (JTF) Grant No. 62417National Science Foundation (NSF) No. 101068029.
6 · The paper itself

Abstract

Mutualistic interactions are widespread in nature, from plant communities and microbiomes to human organizations. Along with competition for resources, cooperative interactions shape biodiversity and contribute to the robustness of complex ecosystems. We present a stochastic neutral theory of cooperator species. Our model shares with the classic neutral theory of biodiversity the assumption that all species are equivalent, but crucially differs in requiring cooperation between species for replication. With low migration, our model displays a bimodal species-abundance distribution, with a high-abundance mode associated with a core of cooperating species. This core is responsible for maintaining a diverse pool of long-lived species, which are present even at very small migration rates. We derive analytical expressions of the steady-state species abundance distribution, as well as scaling laws for diversity, number of species, and residence times. With high migration, our model recovers the results of classic neutral theory. We briefly discuss implications of our analysis for research on the microbiome, synthetic biology, and the origin of life.

Indexed as

Cooperative BehaviorModels, BiologicalSymbiosisBiodiversityEcosystemHumansMicrobiotacooperationmutualismneutral theorystochastic processestheoretical ecology

Identifiers

PMID41417606
PMCPMC12745680

What OpenQuestion holds

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LicenceCC BY-NC-ND
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Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.