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Circuit theory predicts gene flow in plant and animal populations
Abstract
Maintaining connectivity for broad-scale ecological processes like dispersal and gene flow is essential for conserving endangered species in fragmented landscapes. However, determining which habitats should be set aside to promote connectivity has been difficult because existing models cannot incorporate effects of multiple pathways linking populations. Here, we test an ecological connectivity model that overcomes this obstacle by borrowing from electrical circuit theory. The model vastly improves gene flow predictions because it simultaneously integrates all possible pathways connecting populations. When applied to data from threatened mammal and tree species, the model consistently outperformed conventional gene flow models, revealing that barriers were less important in structuring populations than previously thought. Circuit theory now provides the best-justified method to bridge landscape and genetic data, and holds much promise in ecology, evolution, and conservation planning.
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Across long time scales at which genetic mutations can be measured, resistance distance is strongly correlated to the differences between populations.
“It has already been demonstrated that across long time scales at which genetic mutations can be measured, resistance distance is strongly correlated to the differences between populations [28], [29], [42].”
From Applying circuit theory for corridor expansion and management at regional scales: tiling, pinch points, and omnidirectional connectivity (2014) · cites this paper as [29]
The Results tables report strong correlations between resistance distance and genetic differentiation in mahogany and wolverine populations (R² = 0.68–0.85 across the listed measures). The paper discusses gene flow over many generations, but does not establish the claim’s specific time-scale qualifier—that these are long time scales at which genetic mutations can be measured. (LLM, conf=0.85)
Experimental — accuracy not yet measuredMcRae & Beier (2007) showed Circuitscape software to be relatively insensitive to cell size.
“McRae & Beier (2007), however, showed Circuitscape software to be relatively insensitive to cell size.”
From Landscape connectivity for wildlife: development and validation of multispecies linkage maps (2014) · cites this paper as McRae & Beier (2007)
McRae & Beier (2007) demonstrated that IBR explained genetic patterns of mammal (wolverine, Gulo gulo) and plant (bigleaf mahogany, Swetenia macrophylla) populations about 50-200% better than two conventional approaches, namely isolation by distance and least-cost paths.
“The second foundational paper (McRae & Beier 2007) demonstrated that IBR explained genetic patterns of mammal (wolverine, Gulo gulo) and plant (bigleaf mahogany, Swetenia macrophylla) populations about 50–200% better than two conventional approaches, namely isolation by distance and least-cost paths.”
From Circuit‐theory applications to connectivity science and conservation (2019) · cites this paper as McRae & Beier 2007
The species in McRae & Beier (2007) were undergoing rapid human-caused demographic changes, violating the IBR model assumption that all populations are in genetic equilibrium.
“The findings were striking because the species were undergoing rapid human-caused demographic changes, violating the IBR model assumption that all populations are in genetic equilibrium (i.e., based on the response variable, FST).”
From Circuit‐theory applications to connectivity science and conservation (2019) · cites this paper as McRae & Beier 2007
Multiple or wider swaths of suitable habitat are more likely conduits of animal movement than are narrow pathways.
“Multiple or wider swaths of suitable habitat are more likely conduits of animal movement than are narrow pathways (McRae & Beier 2007).”
From Landscape connectivity for wildlife: development and validation of multispecies linkage maps (2014) · cites this paper as McRae & Beier 2007
Circuitscape has been most widely applied in landscape genetics, where modelers calculate resistance distances between spatially referenced pairs of genetic samples.
“To date, Circuitscape has been most widely applied in landscape genetics, where modelers calculate”
From Circuitscape in julia: empowering dynamic approaches to connectivity assessment (2021) · cites this paper as [39]
The authors reviewed 1280 papers identified through Web of Science searches that cited key foundational papers or a Circuitscape user guide.
“To find Circuitscape applications, we reviewed 1280 papers identified through Web of Science searches (end date for publication, including”
From Circuitscape in julia: empowering dynamic approaches to connectivity assessment (2021) · cites this paper as [39]
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McRae, B. H. (2006) · Evolution · doi:10.1111/j.0014-3820.2006.tb00500.x · Cited by 1,081
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USING CIRCUIT THEORY TO MODEL CONNECTIVITY IN ECOLOGY, EVOLUTION, AND CONSERVATION
McRae, B. H., Dickson, B. G., Keitt, T. H., & Shah, V. B. (2008) · Ecology · doi:10.1890/07-1861.1 · Cited by 2,244
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Dickson, B. G., Albano, C. M., Anantharaman, R., Beier, P., Fargione, J., Graves, T. A., Gray, M. E., Hall, K. R., Lawler, J. J., Leonard, P. B., et al. (2019) · Conservation Biology · doi:10.1111/cobi.13230 · Cited by 461
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Metadata
- Authors
- McRae, B. H., & Beier, P.
- Affiliations
- *National Center for Ecological Analysis and Synthesis, 735 State Street, Suite 300, Santa Barbara, CA 93101; and
- School of Forestry and Merriam–Powell Center for Environmental Research, Northern Arizona University, Flagstaff, AZ 86011
- Venue
- Proceedings of the National Academy of Sciences
- Publisher
- National Academy of Sciences
- Published
- 2007-12-11
- Volume
- 104
- Issue
- 50
- Pages
- 19885-19890
- ISSN
- 0027-8424
- 1091-6490
- Cited by
- 945
- References
- 1
- Language
- en
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