Evidence map›Paper›PMID 27450085›Full record

ArticleProceedings of the National Academy of Sciences of the United States of America2016

Demographic noise can reverse the direction of deterministic selection.

George W A Constable, Tim Rogers, Alan J McKane, Corina E Tarnita

Abstract read
In one paragraph

Article in Proceedings of the National Academy of Sciences of the United States of America, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 32 papers.

0numbers the graph read from it
0cells of the map it votes in
32citing 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

32 citing papers in PubMed.

  1. Review
  2. Non-ergodicity in ecology and evolution.Proceedings of the National Academy of Sciences of the United States of America · 2026
    Article
  3. Article
  4. Collective artificial intelligence and evolutionary dynamics.Proceedings of the National Academy of Sciences of the United States of America · 2025
    Article
  5. Reconciling ecology and evolutionary game theory or "When not to think cooperation".Proceedings of the National Academy of Sciences of the United States of America · 2025
    Article
  6. Article
  7. The evolution of social behaviors and risk preferences in settings with uncertainty.Proceedings of the National Academy of Sciences of the United States of America · 2024
    Article
  8. Article
  9. Article
  10. Article
  11. Reproductive variance can drive behavioral dynamics.Proceedings of the National Academy of Sciences of the United States of America · 2023
    Article
  12. Article
  13. Stochastic survival of the densest and mitochondrial DNA clonal expansion in aging.Proceedings of the National Academy of Sciences of the United States of America · 2022
    Article
  14. Article
  15. Evolution of cooperation with joint liability.Journal of the Royal Society, Interface · 2022
    Article
  16. Article
  17. Review
  18. Article
  19. Article
  20. Tipping point and noise-induced transients in ecological networks.Journal of the Royal Society, Interface · 2020
    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.

George W A ConstableDepartment of Ecology and Evolutionary Biology, Princeton University, Princeton, NJ 08544; constabl@princeton.edu ctarnita@princeton.edu.
Tim RogersDepartment of Mathematical Sciences, University of Bath, Bath BA2 7AY, United Kingdom;
Alan J McKaneSchool of Physics and Astronomy, The University of Manchester, Manchester M13 9PL, United Kingdom.
Corina E TarnitaDepartment of Ecology and Evolutionary Biology, Princeton University, Princeton, NJ 08544; constabl@princeton.edu ctarnita@princeton.edu.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Deterministic evolutionary theory robustly predicts that populations displaying altruistic behaviors will be driven to extinction by mutant cheats that absorb common benefits but do not themselves contribute. Here we show that when demographic stochasticity is accounted for, selection can in fact act in the reverse direction to that predicted deterministically, instead favoring cooperative behaviors that appreciably increase the carrying capacity of the population. Populations that exist in larger numbers experience a selective advantage by being more stochastically robust to invasions than smaller populations, and this advantage can persist even in the presence of reproductive costs. We investigate this general effect in the specific context of public goods production and find conditions for stochastic selection reversal leading to the success of public good producers. This insight, developed here analytically, is missed by the deterministic analysis as well as by standard game theoretic models that enforce a fixed population size. The effect is found to be amplified by space; in this scenario we find that selection reversal occurs within biologically reasonable parameter regimes for microbial populations. Beyond the public good problem, we formulate a general mathematical framework for models that may exhibit stochastic selection reversal. In this context, we describe a stochastic analog to [Formula: see text] theory, by which small populations can evolve to higher densities in the absence of disturbance.

Indexed as

Biological EvolutionDemographySelection, GeneticCooperative BehaviorGame TheoryHumansPopulation DensityStochastic Processescooperationnonfixed population sizepublic goodsstochastic dynamicstimescale separation

Identifiers

PMID27450085
PMCPMC4987790

What OpenQuestion holds

Textmetadata
Read underepoch 390

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.