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Title: Diversity waves in collapse-driven population dynamics

Journal Article · · PLoS Computational Biology (Online)
 [1];  [2]
  1. Univ. of Illinois, Urbana-Champaign, IL (United States); Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. Univ. of Copenhagen, Copenhagen (Denmark)

Populations of species in ecosystems are often constrained by availability of resources within their environment. In effect this means that a growth of one population, needs to be balanced by comparable reduction in populations of others. In neutral models of biodiversity all populations are assumed to change incrementally due to stochastic births and deaths of individuals. Here we propose and model another redistribution mechanism driven by abrupt and severe collapses of the entire population of a single species freeing up resources for the remaining ones. This mechanism may be relevant e.g. for communities of bacteria, with strain-specific collapses caused e.g. by invading bacteriophages, or for other ecosystems where infectious diseases play an important role. The emergent dynamics of our system is cyclic ‘‘diversity waves’’ triggered by collapses of globally dominating populations. The population diversity peaks at the beginning of each wave and exponentially decreases afterwards. Species abundances are characterized by a bimodal time-aggregated distribution with the lower peak formed by populations of recently collapsed or newly introduced species while the upper peak - species that has not yet collapsed in the current wave. In most waves both upper and lower peaks are composed of several smaller peaks. This self-organized hierarchical peak structure has a long-term memory transmitted across several waves. It gives rise to a scale-free tail of the time-aggregated population distribution with a universal exponent of 1.7. We show that diversity wave dynamics is robust with respect to variations in the rules of our model such as diffusion between multiple environments, species-specific growth and extinction rates, and bet-hedging strategies.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Biological and Environmental Research (BER)
Grant/Contract Number:
SC00112704
OSTI ID:
1214532
Report Number(s):
BNL-108342-2015-JA; R&D Project: PM-031; KP1601040
Journal Information:
PLoS Computational Biology (Online), Vol. 11, Issue 9; ISSN 1553-7358
Publisher:
Public Library of ScienceCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

References (47)

Bacteriophages drive strain diversification in a marine Flavobacterium : implications for phage resistance and physiological properties journal August 2009
Convergent Multiplicative Processes Repelled from Zero: Power Laws and Truncated Power Laws journal March 1997
Epigenetic Ratchet: Spontaneous Adaptation via Stochastic Gene Expression journal January 2020
Explaining microbial population genomics through phage predation journal November 2009
RETRACTED: (p)ppGpp Controls Bacterial Persistence by Stochastic Induction of Toxin-Antitoxin Activity journal August 2013
Multimodal species abundance distributions: a deconstruction approach reveals the processes behind the pattern journal February 2014
Scaling behavior in economics: I. Empirical results for company growth preprint January 1997
Emergent neutrality leads to multimodal species abundance distributions journal January 2012
Optimal Investment Strategy for Risky Assets journal July 1998
Phage and bacteria support mutual diversity in a narrowing staircase of coexistence journal May 2014
Gradual Dinosaur Extinction and Simultaneous Ungulate Radiation in the Hell Creek Formation journal May 1986
Punctuated equilibrium and criticality in a simple model of evolution journal December 1993
Shannon information and biological fitness conference January 2004
Bacterial Persistence: A Model of Survival in Changing Environments journal January 2005
Activity of abundant and rare bacteria in a coastal ocean journal July 2011
The Forbes 400 and the Pareto wealth distribution journal February 2006
Bacterial Persistence as a Phenotypic Switch journal September 2004
Well-temperate phage: optimal bet-hedging against local environmental collapses text January 2013
A Note on Trophic Complexity and Community Stability journal January 1969
Viral and microbial community dynamics in four aquatic environments journal February 2010
A New Interpretation of Information Rate journal July 1956
New evidence for the power-law distribution of wealth journal August 1997
Understanding Sea Otters journal March 1998
Genomic analysis of uncultured marine viral communities journal October 2002
Avalanches, scaling, and coherent noise journal December 1996
Computational Improvements Reveal Great Bacterial Diversity and High Metal Toxicity in Soil journal August 2005
The Debt-Deflation Theory of Great Depressions journal October 1933
Quantifying the roles of immigration and chance in shaping prokaryote community structure journal April 2006
Scaling Behavior in Economics: I. Empirical Results for Company Growth journal April 1997
On a Class of Skew Distribution Functions journal December 1955
Effects of Bacteriophages on the Population Dynamics of Four Strains of Pelagic Marine Bacteria journal October 2001
Power laws are Logarithmic Boltzmann laws journal August 1996
Neutral assembly of bacterial communities: Neutral assembly of bacterial communities journal November 2007
Theoretical models for the control of bacterial growth rate, abundance, diversity and carbon demand journal January 1997
Longevity of orders is related to the longevity of their constituent genera rather than genus richness journal December 2008
The genetical theory of natural selection. book January 1930
Self-organized criticality: An explanation of the 1/ f noise journal July 1987
Extinction and self-organized criticality in a model of large-scale evolution journal July 1996
Multiple modes in a coral species abundance distribution journal October 2008
Dynamic response of Permian brachiopod communities to long-term environmental change journal April 2004
Fitness and its role in evolutionary genetics journal August 2009
The impact of rare species on natural assemblages journal November 2005
Microbial population dynamics and diversity during a bloom of the marine coccolithophorid Emiliania huxleyi (Haptophyta) journal January 2001
Resource-Limited Growth, Competition, and Predation: A Model and Experimental Studies with Bacteria and Bacteriophage journal January 1977
Well-temperate phage: optimal bet-hedging against local environmental collapses journal June 2015
The Debt-Deflation Theory of Great Depressions
  • Fisher, Irving
  • Revue de l'Institut International de Statistique / Review of the International Statistical Institute, Vol. 1, Issue 4 https://doi.org/10.2307/1401100
journal January 1934
On a Class of skew Distribution Functions journal January 1955

Cited By (6)

Population cycles and species diversity in dynamic Kill-the-Winner model of microbial ecosystems posted_content August 2016
Models of life: epigenetics, diversity and cycles journal March 2017
Stabilization of extensive fine-scale diversity by spatio-temporal chaos posted_content August 2019
Population cycles and species diversity in dynamic Kill-the-Winner model of microbial ecosystems journal January 2017
The Local Ecological Memory of Soil: Majority and Minority Components of Bacterial Communities in Prehistorical Urns from Schöps (Germany) journal July 2018
Long-term persistence of agricultural pest insects by risk-spreading dispersal journal May 2018