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Kreger J, Brown D, Komarova NL, Wodarz D, Pritchard J. The role of migration in mutant dynamics in fragmented populations. J Evol Biol 2023; 36:444-460. [PMID: 36514852 PMCID: PMC10108075 DOI: 10.1111/jeb.14131] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/01/2021] [Revised: 10/16/2022] [Accepted: 10/28/2022] [Indexed: 12/15/2022]
Abstract
Mutant dynamics in fragmented populations have been studied extensively in evolutionary biology. Yet, open questions remain, both experimentally and theoretically. Some of the fundamental properties predicted by models still need to be addressed experimentally. We contribute to this by using a combination of experiments and theory to investigate the role of migration in mutant distribution. In the case of neutral mutants, while the mean frequency of mutants is not influenced by migration, the probability distribution is. To address this empirically, we performed in vitro experiments, where mixtures of GFP-labelled ("mutant") and non-labelled ("wid-type") murine cells were grown in wells (demes), and migration was mimicked via cell transfer from well to well. In the presence of migration, we observed a change in the skewedness of the distribution of the mutant frequencies in the wells, consistent with previous and our own model predictions. In the presence of de novo mutant production, we used modelling to investigate the level at which disadvantageous mutants are predicted to exist, which has implications for the adaptive potential of the population in case of an environmental change. In panmictic populations, disadvantageous mutants can persist around a steady state, determined by the rate of mutant production and the selective disadvantage (selection-mutation balance). In a fragmented system that consists of demes connected by migration, a steady-state persistence of disadvantageous mutants is also observed, which, however, is fundamentally different from the mutation-selection balance and characterized by higher mutant levels. The increase in mutant frequencies above the selection-mutation balance can be maintained in small ( N < N c ) demes as long as the migration rate is sufficiently small. The migration rate above which the mutants approach the selection-mutation balance decays exponentially with N / N c . The observed increase in the mutant numbers is not explained by the change in the effective population size. Implications for evolutionary processes in diseases are discussed, where the pre-existence of disadvantageous drug-resistant mutant cells or pathogens drives the response of the disease to treatments.
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Affiliation(s)
- Jesse Kreger
- Department of Quantitative and Computational Biology, University of Southern California, Los Angeles, California, USA.,Department of Mathematics, University of California Irvine, Irvine, California, USA
| | - Donovan Brown
- Department of Biomedical Engineering, Pennsylvania State University, University Park, Pennsylvania, USA.,The Huck Institute for the Life Sciences, University Park, Pennsylvania, USA
| | - Natalia L Komarova
- Department of Mathematics, University of California Irvine, Irvine, California, USA
| | - Dominik Wodarz
- Department of Mathematics, University of California Irvine, Irvine, California, USA.,Department of Population Health and Disease Prevention Program in Public Health, Susan and Henry Samueli College of Health Sciences, University of California, Irvine, California, USA
| | - Justin Pritchard
- Department of Biomedical Engineering, Pennsylvania State University, University Park, Pennsylvania, USA.,The Huck Institute for the Life Sciences, University Park, Pennsylvania, USA
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Abstract
Mutant evolution in spatially structured systems is important for a range of biological systems, but aspects of it still require further elucidation. Adding to previous work, we provide a simple derivation of growth laws that characterize the number of mutants of different relative fitness in expanding populations in spatial models of different dimensionalities. These laws are universal and independent of "microscopic" modeling details. We further study the accumulation of mutants and find that, with advantageous and neutral mutants, more of them are present in spatially structured, compared to well-mixed colonies of the same size. The behavior of disadvantageous mutants is subtle: if they are disadvantageous through a reduction in division rates, the result is the same, and it is the opposite if the disadvantage is due to a death rate increase. Finally, we show that in all cases, the same results are observed in fragmented, nonspatial patch models. This suggests that the patterns observed are the consequence of population fragmentation, and not spatial restrictions per se We provide an intuitive explanation for the complex dependence of disadvantageous mutant evolution on spatial restriction, which relies on desynchronized dynamics in different locations/patches, and plays out differently depending on whether the disadvantage is due to a lower division rate or a higher death rate. Implications for specific biological systems, such as the evolution of drug-resistant cell mutants in cancer or bacterial biofilms, are discussed.
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Affiliation(s)
- Dominik Wodarz
- Department of Population Health and Disease Prevention, Program in Public Health, Susan and Henry Samueli College of Health Sciences, University of California Irvine, California 92697
- Department of Mathematics, University of California Irvine, California 92697
| | - Natalia L Komarova
- Department of Mathematics, University of California Irvine, California 92697
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Paajanen MPT, Cronk Q. Moth versus fly: a preliminary study of the pollination mode of two species of endemic Asteraceae from St Helena ( Commidendrum robustum and C. rugosum) and its conservation implications. Biodivers Data J 2020; 8:e52057. [PMID: 32431561 PMCID: PMC7220971 DOI: 10.3897/bdj.8.e52057] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/13/2020] [Accepted: 04/29/2020] [Indexed: 11/12/2022] Open
Abstract
Commidendrumrobustum (Roxb.) DC. (St Helena gumwood) and C.rugosum (Dryand.) DC. (St Helena scrubwood) are ecologically important, endemic woody Asteraceae from the isolated South Atlantic island of St Helena. Once very abundant, they now exist in sparse fragmented populations due to 500 years of environmental destruction. They are sister taxa that evolved on the island and are reported to hybridise. Commidendrumrugosum has a saucer-like erect capitulum, whereas C.robustum has a somewhat globular hanging capitulum. Using daytime timelapse photography to follow capitula through their life cycle, we found that C.rugosum appears to be myophilous, visited largely by flies (including the endemic syrphid, Sphaerophoriabeattiei Doesburg & Doesburg) and occasionally by Lepidoptera. Commidendrumrobustum, on the other hand, although visited by flies, strongly attracts moths (especially noted at the Millennium Forest site). Our data suggest that moth visits may reduce visits from flies due to the sensitivity of flies to interference by other insects. We conclude that C.robustum may have a mixed syndrome of myophily/phalaenophily and that there is apparently some divergence of the pollination niche between the two species. Its potential in attracting moths, coupled with its former abundance, suggests that it may have been a major food source for adults of the numerous endemic moths. Pollinator activity was measured by insect visitation rates (mean visits per capitulum per day, V) and insect residence time (mean pollinator kiloseconds per capitulum per day, R). Both are higher for C.robustum (C.rugosum, V = 16.4, R = 3.101; C.robustum, V = 34.0, R = 8.274), reflecting the abundance of moths on the capitula at the Millennium Forest site. The conservation implications of the pollination mode are that: (1) there is considerable pollinator activity on the capitula and pollination is not currently a limiting factor for plant reproduction; (2) gene exchange between geographically-isolated populations of C.rugosum is likely to be minimal due to the apparent reliance of the species for pollination on small flies (especially Sphaerophoriabeattiei), which are believed to be not effective as pollinators over long distances (> 1 km). A possible exception is the strong-flying drone-fly, Eristalistenax Linn. which, although not as abundant as Sphaerophoria, does visit the flowers; (3) there is considerable overlap between the two species in flower visitors and interspecific pollen transfer is possible where the two species grow intermixed (which has potential positive and negative implications for species survival).
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Affiliation(s)
| | - Quentin Cronk
- University of British Columbia, Vancouver, Canada University of British Columbia Vancouver Canada
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Bani L, Pisa G, Luppi M, Spilotros G, Fabbri E, Randi E, Orioli V. Ecological connectivity assessment in a strongly structured fire salamander (Salamandra salamandra) population. Ecol Evol 2015; 5:3472-85. [PMID: 26380679 PMCID: PMC4569041 DOI: 10.1002/ece3.1617] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/23/2015] [Accepted: 06/24/2015] [Indexed: 11/08/2022] Open
Abstract
Small populations are more prone to extinction if the dispersal among them is not adequately maintained by ecological connections. The degree of isolation between populations could be evaluated measuring their genetic distance, which depends on the respective geographic (isolation by distance, IBD) and/or ecological (isolation by resistance, IBR) distances. The aim of this study was to assess the ecological connectivity of fire salamander Salamandra salamandra populations by means of a landscape genetic approach. The species lives in broad-leaved forest ecosystems and is particularly affected by fragmentation due to its habitat selectivity and low dispersal capability. We analyzed 477 biological samples collected in 47 sampling locations (SLs) in the mainly continuous populations of the Prealpine and Eastern foothill lowland (PEF) and 10 SLs in the fragmented populations of the Western foothill (WF) lowland of Lombardy (northern Italy). Pairwise genetic distances (Chord distance, DC) were estimated from allele frequencies of 16 microsatellites loci. Ecological distances were calculated using one of the most promising methodology in landscape genetics studies, the circuit theory, applied to habitat suitability maps. We realized two habitat suitability models: one without barriers (EcoD) and a second one accounting for the possible barrier effect of main roads (EcoDb). Mantel tests between distance matrices highlighted how the Log-DC in PEF populations was related to log-transformed geographic distance (confirming a prevalence of IBD), while it was explained by the Log-EcoD, and particularly by the Log-EcoDb, in WF populations, even when accounting for the confounding effect of geographic distance (highlighting a prevalence of IBR). Moreover, we also demonstrated how considering the overall population, the effect of Euclidean or ecological distances on genetic distances acting at the level of a single group (PEF or WF populations) could not be detected, when population are strongly structured.
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Affiliation(s)
- Luciano Bani
- Department of Earth and Environmental Sciences, University of Milano-Bicocca Piazza della Scienza 1, I-20126, Milano, Italy
| | - Giulia Pisa
- Department of Earth and Environmental Sciences, University of Milano-Bicocca Piazza della Scienza 1, I-20126, Milano, Italy
| | - Massimiliano Luppi
- Department of Earth and Environmental Sciences, University of Milano-Bicocca Piazza della Scienza 1, I-20126, Milano, Italy
| | - Giulia Spilotros
- Department of Biology, University of Milano via Celoria 26, I-20133, Milano, Italy
| | - Elena Fabbri
- Laboratory of Genetics, Istituto Superiore per la Protezione e la Ricerca Ambientale (ISPRA) I-40064, Ozzano Emilia, Bologna, Italy
| | - Ettore Randi
- Laboratory of Genetics, Istituto Superiore per la Protezione e la Ricerca Ambientale (ISPRA) I-40064, Ozzano Emilia, Bologna, Italy ; Section of Biology and Environmental Science, Department of Biotechnology, Chemistry and Environmental Engineering, Aalborg University Sohngaardsholmsvej 57, DK-9000, Aalborg, Denmark
| | - Valerio Orioli
- Department of Earth and Environmental Sciences, University of Milano-Bicocca Piazza della Scienza 1, I-20126, Milano, Italy
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Scobie AR, Wilcock CC. Limited mate availability decreases reproductive success of fragmented populations of Linnaea borealis, a rare, clonal self-incompatible plant. Ann Bot 2009; 103:835-46. [PMID: 19181748 PMCID: PMC2707897 DOI: 10.1093/aob/mcp007] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/20/2008] [Revised: 09/15/2008] [Accepted: 12/04/2008] [Indexed: 05/10/2023]
Abstract
BACKGROUND AND AIMS Small populations of rare plant species are increasingly reported to have high levels of reproductive failure. The objective of this study was to understand the principal constraints on sexual reproduction in small fragmented populations of a rare clonal self-incompatible plant. METHODS The pollinator spectrum, diversity of flower colour, natural pollination and fruit-set levels of L. borealis were examined in Scotland. Artificially crossed seed production was compared within and between different flower colour types and patches. KEY RESULTS Linnaea borealis was pollinated by a diverse spectrum of insect species and the principal pollinators were muscid, syrphid and empid flies which mostly moved only small distances (<0.25 m) between flowers when foraging. Natural pollination levels were high, indicating high pollinator effectiveness, but fruit set was very low in most patches. Flower colour diversity was low in most patches and only those with a diversity of flower colour types had high fruiting success. Pollination experiments showed L. borealis to be highly self-incompatible and artificial crosses within and between patches and flower colour types confirmed that low fruit success was the result of a lack of compatible mates and limited pollen movement between them. Evidence of isolation from pollen exchange was apparent at as little as 6 m and severe at 30 m and beyond. CONCLUSIONS Limited mate availability and isolation from pollen exchange compromise the reproductive success of fragmented populations of L. borealis in Scotland. A diversity of compatible mates situated within close proximity (<6 m) is the key requirement to ensure high natural fruiting success. This study emphasizes that an understanding of the breeding system, pollinator spectrum and potential for interconnectivity via pollinator movement are fundamental to identify isolation distances and to establish when conservation intervention is necessary for rare species.
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Affiliation(s)
| | - C. C. Wilcock
- School of Biological Sciences, University of Aberdeen, Cruickshank Building, St Machar Drive, Aberdeen AB24 3UU, Scotland, UK
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