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The Google matrix controls the stability of structured ecological and biological networks

Overview of attention for article published in Nature Communications, September 2016
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About this Attention Score

  • In the top 5% of all research outputs scored by Altmetric
  • High Attention Score compared to outputs of the same age (92nd percentile)
  • Above-average Attention Score compared to outputs of the same age and source (58th percentile)

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Title
The Google matrix controls the stability of structured ecological and biological networks
Published in
Nature Communications, September 2016
DOI 10.1038/ncomms12857
Pubmed ID
Authors

Lewi Stone

Abstract

May's celebrated theoretical work of the 70's contradicted the established paradigm by demonstrating that complexity leads to instability in biological systems. Here May's random-matrix modelling approach is generalized to realistic large-scale webs of species interactions, be they structured by networks of competition, mutualism or both. Simple relationships are found to govern these otherwise intractable models, and control the parameter ranges for which biological systems are stable and feasible. Our analysis of model and real empirical networks is only achievable on introducing a simplifying Google-matrix reduction scheme, which in the process, yields a practical ecological eigenvalue stability index. These results provide an insight into how network topology, especially connectance, influences species stable coexistence. Constraints controlling feasibility (positive equilibrium populations) in these systems are found more restrictive than those controlling stability, helping explain the enigma of why many classes of feasible ecological models are nearly always stable.

X Demographics

X Demographics

The data shown below were collected from the profiles of 20 X users who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 74 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United Kingdom 2 3%
France 1 1%
Finland 1 1%
Brazil 1 1%
Argentina 1 1%
Japan 1 1%
Unknown 67 91%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 21 28%
Researcher 16 22%
Student > Master 8 11%
Student > Bachelor 5 7%
Student > Doctoral Student 3 4%
Other 12 16%
Unknown 9 12%
Readers by discipline Count As %
Agricultural and Biological Sciences 19 26%
Physics and Astronomy 10 14%
Environmental Science 10 14%
Mathematics 4 5%
Computer Science 3 4%
Other 14 19%
Unknown 14 19%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 29. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 11 February 2019.
All research outputs
#1,135,684
of 22,890,496 outputs
Outputs from Nature Communications
#17,189
of 47,156 outputs
Outputs of similar age
#22,651
of 322,482 outputs
Outputs of similar age from Nature Communications
#369
of 902 outputs
Altmetric has tracked 22,890,496 research outputs across all sources so far. Compared to these this one has done particularly well and is in the 95th percentile: it's in the top 5% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 47,156 research outputs from this source. They typically receive a lot more attention than average, with a mean Attention Score of 55.8. This one has gotten more attention than average, scoring higher than 63% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 322,482 tracked outputs that were published within six weeks on either side of this one in any source. This one has done particularly well, scoring higher than 92% of its contemporaries.
We're also able to compare this research output to 902 others from the same source and published within six weeks on either side of this one. This one has gotten more attention than average, scoring higher than 58% of its contemporaries.