Survival of Replicators with Parabolic Growth Tendency and Exponential Decay
Abstract
The claim that the competition of parabolically growing self-replicators leads to dynamically stable coexistence was challenged by Lifson & Lifson [(1999). J. theor. Biol.199, 425-433]. They have shown that, if single- and double-strands are treated separately, and only single-strands undergo spontaneous decay, then there is natural selection rather than survival of everybody. We use their models to show that if double-strand decay is not neglected, then dynamical coexistence is still possible under a wide range of parameter values, in agreement with the chromatographized replicator model of von Kiedrowski & Szathmáry [(2000). Selection 1-3, 173-179]. Coexistence is always ensured above a critical resource (monomer) inflow rate. Recycling of decayed replicators into monomers further favours dynamical coexistence. The claim that parabolic growth invariably results in coexistence remains valid for the model for which it was meant to apply, namely for parabolic growth without template decay. Exponential decay acting on single- and double-strands, combined with parabolic growth, may or may not result in a dynamical coexistence of self-replicators.
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At high levels of resource influx, the replicator concentration is high and parabolic replication and coexistence remain possible; below a critical level of influx, selection sets in and the superior replicator outcompetes all others, so the influx of nutrients acts as the control parameter of selectivity.
“At high levels of resource influx, the replicator concentration is high and thus parabolic replication and coexistence remain possible, whereas below a critical level of influx, selection sets in and the superior replicator outcompetes all the others—the influx of nutrients acts as the control parameter of selectivity.”
From Ecology and Evolution in the RNA World Dynamics and Stability of Prebiotic Replicator Systems (2017) · cites this paper as [81]
If both single- and double-strand forms can exponentially decay, the outcome of competition depends on the parameters, mainly on the influx of the resource and the decay rates of single- and double-strands.
“The behaviour of the system may change if both single- and double-strand forms can exponentially decay (even if the decay rate of the double-strand is much smaller than that of the single-strands), as it is shown in [81] for two competing replicators. In this case the outcome of competition depends on the parameters, mainly on the influx of the resource and the decay rates of single- and double-”
From Ecology and Evolution in the RNA World Dynamics and Stability of Prebiotic Replicator Systems (2017) · cites this paper as [81]
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Self-citationSimple growth laws and selection consequences
Szathmáry, E. (1991) · Trends in Ecology & Evolution · doi:10.1016/0169-5347(91)90228-p · Cited by 75 · see citing works
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“The behaviour of the system may change if both single- and double-strand forms can exponentially decay (even if the decay rate of the double-strand is much smaller than that of the single-strands), as it is shown in [81] for two competing replicators.”
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- Authors
- SCHEURING, I., & SZATHMÁRY, E.
- Affiliations
- Eötvös Loránd University (HU)
- Corresponding author
- SCHEURING, ISTVÁN
- Venue
- Journal of Theoretical Biology
- Publisher
- Elsevier BV
- Published
- 2001-09
- Volume
- 212
- Issue
- 1
- Pages
- 99-105
- ISSN
- 0022-5193 (ISSN-L)
- OpenAlex
- W2028341958
- Cited by
- 48
- References
- 3
- Citations by year
- 2026: 2 · 2024: 9 · 2023: 2 · 2021: 1 · 2019: 4 · 2018: 1 · 2017: 5 · 2015: 1 · 2014: 2 · 2013: 4 · 2012: 5
- FWCI
- 1.43
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Theoretical Biology (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Origins and Evolution of Life
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Genetics › Evolution and Genetic Dynamics
- Social Sciences › Arts and Humanities › History and Philosophy of Science › Philosophy and History of Science
- Keywords
- self-replicators, parabolic growth, exponential decay, replicator dynamics, natural selection, origin of life
- MeSH terms
- Animals, DNA, DNA Replication, DNA, Single-Stranded, Models, Genetic, Replicon, Selection, Genetic
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