The DOI matches its Crossref record; 106 of the 106 references it cites were found in a registry or an index; 8 of the 56 sources its claims cite were checked for support.
Circuit‐theory applications to connectivity science and conservation
Open accessAbstract
Conservation practitioners have long recognized ecological connectivity as a global priority for preserving biodiversity and ecosystem function. In the early years of conservation science, ecologists extended principles of island biogeography to assess connectivity based on source patch proximity and other metrics derived from binary maps of habitat. From 2006 to 2008, the late Brad McRae introduced circuit theory as an alternative approach to model gene flow and the dispersal or movement routes of organisms. He posited concepts and metrics from electrical circuit theory as a robust way to quantify movement across multiple possible paths in a landscape, not just a single least-cost path or corridor. Circuit theory offers many theoretical, conceptual, and practical linkages to conservation science. We reviewed 459 recent studies citing circuit theory or the open-source software Circuitscape. We focused on applications of circuit theory to the science and practice of connectivity conservation, including topics in landscape and population genetics, movement and dispersal paths of organisms, anthropogenic barriers to connectivity, fire behavior, water flow, and ecosystem services. Circuit theory is likely to have an effect on conservation science and practitioners through improved insights into landscape dynamics, animal movement, and habitat-use studies and through the development of new software tools for data analysis and visualization. The influence of circuit theory on conservation comes from the theoretical basis and elegance of the approach and the powerful collaborations and active user community that have emerged. Circuit theory provides a springboard for ecological understanding and will remain an important conservation tool for researchers and practitioners around the globe.
Overview
AI snapshot
Written from the paper’s full text.
TL;DR
This review synthesizes how circuit theory, introduced to ecology and conservation biology by Brad McRae in 2006–2008, has been applied to model gene flow, organismal movement, corridors, and other connectivity processes. Drawing on 459 citing papers, it surveys applications from landscape genetics to fire spread, water flow, and ecosystem services, and outlines future opportunities and caveats.
Key findings
- Of 459 papers identified via Web of Science or Google Scholar citing McRae et al. (2008) or the Circuitscape user guide, 277 directly used the software; applications spanned every continent (including off Antarctica) and disciplines from conservation to epidemiology.
- McRae & Beier (2007) found isolation by resistance explained genetic patterns of wolverine (*Gulo gulo*) and bigleaf mahogany (*Swietenia macrophylla*) about 50–200% better than isolation by distance and least-cost paths, even though both species were undergoing rapid human-caused demographic change.
- Among reviewed studies, the vast majority addressed animals (n = 228), with 10 on plants and one on protists; mammals were the most common vertebrates, followed by birds, amphibians, reptiles, and fish, with arthropods studied almost as frequently as birds.
- Circuitscape-derived regional flow maps underpin The Nature Conservancy's Conserving Nature's Stage approach, which to date has helped guide decisions on US$38 million in land protection funding; in India, national tiger-reserve policy has been informed by Circuitscape models.
Methods
- Narrative review and synthesis of circuit-theory applications, structured around foundations of the theory, a synthesis of recent publications across geographies, and future directions.
- Literature search identified 459 papers citing McRae et al. (2008) or the Circuitscape user guide (McRae & Shah 2009; McRae et al. 2013); 277 of these directly used the software.
- Applications are organized thematically: landscape and population genetics, animal movement pathways and corridors, anthropogenic barriers, climate change, and non-traditional uses (fire spread, water flow, ecosystem services).
Limitations
- Stated by the paper: isolation by resistance may not perform as well as other frameworks (e.g., isolation by distance) in less fragmented landscapes, or when assessing migration rather than dispersal pathways; assumptions and utility should be assessed project-by-project.
- Stated by the paper: unresolved caveats include modeling long-distance dispersal events and asymmetric migration, and future work could account for temporal variation in dispersal rates and patterns at adaptive loci.
- Stated by the paper: early statistical approaches comparing inter-individual genetic distances with resistance distances (e.g., Mantel tests) often led to faulty inferences by assuming linearity, ignoring spatial structure, and failing to account for variable local population density; Marrotte et al. (2017) found current density was not usually a good predictor of gene flow for four terrestrial mammal species in Ontario, especially where habitat amount was high or pinch points were observed.
- Evident from the text: this is a narrative review without a stated systematic search protocol or quantitative meta-analysis, so the synthesis reflects the authors' selection and interpretation of examples.
Model-written summary. Check it against the paper before relying on it.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
8 of 56 cited sources checked · 5 supported · 0 flagged · accuracy not yet measured
- Premisecitation§ INTRODUCTION
Doyle & Snell (1984) demonstrated that resistance distances from circuit theory are directly proportional to the movements of Markovian random walkers on graphs.
“Specifically, Doyle & Snell (1984) demonstrated that resistance distances from circuit theory are directly proportional to the movements of Markovian random walkers on graphs, and Chandra et al. (1996) related resistance distances to “commute times,” or the time it takes a random walker to travel from one point to another and back again.”
Quote in the paperSubstantial claim1 of 1 sources checked- cites Doyle & Snell (1984) source
Section 1.3.1 connects random walks on graphs with resistor networks and reversible Markov chains, and §1.3.4 relates effective resistance to a walker's probability of reaching one vertex before returning to another. But §1.3.4 gives that probability as proportional to effective conductance—the reciprocal of resistance—not as directly proportional to resistance. The claimed direct proportionality to the walker's “movements” is therefore not established. (LLM, conf=0.86)
Experimental — accuracy not yet measured
- Premisecitation§ INTRODUCTION
Circuit theory has been found suitable for characterizing relative frequency of routine movements along multiple potential paths through urban and other fragmented landscapes.
“Still, circuit theory has been found suitable for characterizing relative frequency of routine movements along multiple potential paths through urban and other fragmented landscapes (e.g., Braaker et al. 2014; Rödder et al. 2016; Grafius et al. 2017).”
Quote in the paperSubstantial claim2 of 3 sources checked- cites Braaker et al. 2014 source
- cites Rödder et al. 2016 source
- cites Grafius et al. 2017 source
The Introduction says circuit theory considers multiple alternative pathways, and Methods > Connectivity and circuit theory describes cumulative current as a representation of wildlife-flow intensity in an urban landscape. But the Discussion says the study used bird abundance as a proxy rather than direct movement data, and Results > Comparison with observed bird abundance data reports mostly weak or nonsignificant relationships. The paper therefore supports modelling relative movement intensity, not a finding that the model accurately characterizes the frequency of routine movements across urban and other fragmented landscapes. (LLM, conf=0.82)
Experimental — accuracy not yet measured
- Interpretationcitation§ INTRODUCTION
Even greater generality can result from 'species-agnostic' approaches to estimating ecological flows that base landscape resistance on the degree to which habitats are unaltered or otherwise modified by humans.
“Even greater generality can result from ‘species-agnostic’ approaches to estimating ecological flows that base landscape resistance on the degree to which habitats are unaltered or otherwise modified by humans (e.g., Bennie et al. 2014; Dickson et al. 2017).”
Quote in the paperNot a substantial claim1 of 2 sources checked- cites Bennie et al. 2014 source
The ‘Application of model to an ecological system’ section models ecological connectivity using landscape resistance, supporting that part of the claim. But it sets resistance proportional to artificial light intensity for a hypothetical light-avoiding bat, not to overall human modification in a species-agnostic approach. The indexed passages provide no page number. (LLM, conf=0.86)
Experimental — accuracy not yet measured - cites Dickson et al. 2017
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Findingown data§ INTRODUCTION
We reviewed 459 papers identified by either Web of Science or Google Scholar that cited McRae et al. (2008) or the Circuitscape user guide.
“Because Circuitscape is the principal tool that researchers and practitioners use to apply the method, we reviewed 459 papers identified by either Web of Science or Google Scholar that cited McRae et al. (2008) or the Circuitscape user guide (McRae & Shah 2009; McRae et al. 2013).”
Quote in the paperSubstantial claim - Findingown data§ INTRODUCTION
Of the 459 reviewed papers, 277 directly used the Circuitscape software.
“Of these studies, 277 directly used the software.”
Quote in the paperNot a substantial claim
- Premisecitation§ INTRODUCTION
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.”
Quote in the paperSubstantial claim0 of 1 sources checked- cites McRae & Beier 2007 source
- Premisereasoning§ INTRODUCTION
In IBR, habitat degradation increases genetic distance, even outside the least-cost path.
“For example, in IBR (but not least-cost models) increasing the number of paths always decreases the total resistance and genetic distance among subpopulations, and habitat degradation increases genetic distance, even outside the least-cost path.”
Quote in the paperNot a substantial claim - Interpretationreasoning§ INTRODUCTION
The robustness of IBR in McRae & Beier (2007) suggested that circuit theory could be applied to the variety of other landscapes experiencing human-caused changes.
“This robustness suggested that circuit theory could be applied to the variety of other landscapes experiencing human-caused changes.”
Quote in the paperSubstantial claim - Premisecitation§ INTRODUCTION
The circuit theory approach accommodates important stochastic properties of wildfire by modeling probabilistic spread between adjacent neighbors in a landscape network.
“The approach accommodates important stochastic properties of wildfire by modeling probabilistic spread between adjacent neighbors in a landscape network (Gray & Dickson 2015).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Gray & Dickson 2015
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Interpretationcitation§ INTRODUCTION
Circuit theory is particularly appropriate when the assumption of moving individuals having limited knowledge of the surrounding landscape is met.
“Circuit theory is particularly appropriate when the assumption of moving individuals having limited knowledge of the surrounding landscape is met (McClure et al. 2016; Keeley et al. 2017; Maiorano et al. 2017).”
Quote in the paperNot a substantial claim0 of 3 sources checked - Premisecitation§ INTRODUCTION
Work integrating connectivity across transportation infrastructure, particularly within the context of regional transportation planning, remains understudied.
“Yet, work integrating connectivity across transportation infrastructure, particularly within the context of regional transportation planning, remains understudied (e.g., Mateo-Sanchez et al. 2014), and this gap is especially important given the ubiquity of transportation and its strong population and genetic effects on various animals globally (Trombulak & Frissell 2000).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Mateo-Sanchez et al. 2014 source
- Premisecitation§ INTRODUCTION
Several studies have shown that corridors designed for wide-ranging umbrella species enhance connectivity for less vagile organisms with similar habitat requirements.
“Several studies (e.g., Epps et al. 2011; Breckheimer et al. 2014) have shown that corridors designed for wide-ranging umbrella species enhance connectivity for less vagile organisms with similar habitat requirements, and Brodie et al. (2015) showed that multi-species corridors tailored to ecologically similar species (e.g., carnivores and herbivores) can be highly effective for all species.”
Quote in the paperNot a substantial claim0 of 2 sources checked - Premisecitation§ INTRODUCTION
Circuit theory has provided an intuitive analogue to the process of wildfire movement (i.e., spread) across heterogeneous landscapes.
“Circuit theory has provided an intuitive analogue to the process of wildfire movement (i.e., spread) across heterogeneous landscapes.”
Quote in the paperNot a substantial claim - Premisecitation§ INTRODUCTION
Circuit theory has been used to understand how humans impact movement corridors and where mitigating these impacts might be most crucial to maintaining or restoring connectivity.
“Circuit theory has been used to understand how humans impact movement corridors and where mitigating these impacts might be most crucial to maintaining or restoring connectivity.”
Quote in the paperSubstantial claim - Premisecitation§ INTRODUCTION
Brodie et al. (2015) showed that multi-species corridors tailored to ecologically similar species can be highly effective for all species.
“Several studies (e.g., Epps et al. 2011; Breckheimer et al. 2014) have shown that corridors designed for wide-ranging umbrella species enhance connectivity for less vagile organisms with similar habitat requirements, and Brodie et al. (2015) showed that multi-species corridors tailored to ecologically similar species (e.g., carnivores and herbivores) can be highly effective for all species.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Brodie et al. (2015)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- Premisecitation§ INTRODUCTION
In fire spread modeling, circuit conductance (the inverse of resistance) is a surrogate for the ease of fire spread across the landscape.
“In this case, circuit conductance (the inverse of resistance) is a surrogate for the ease of fire spread across the landscape.”
Quote in the paperNot a substantial claim - Premisecitation§ INTRODUCTION
Circuit theory and least-cost path models have been shown to perform comparably in predicting seasonal ungulate migration routes.
“For example, circuit theory and least-cost path models have been shown to perform comparably in predicting seasonal ungulate migration routes (Poor et al. 2012; McClure et al. 2016).”
Quote in the paperNot a substantial claim0 of 2 sources checked - Interpretationreasoning§ INTRODUCTION
Advantages of circuit theory may be less pronounced when applied to the movements of individuals through known landscapes.
“Advantages of circuit theory may be less pronounced when applied to the movements of individuals through known landscapes.”
Quote in the paperNot a substantial claim - Premisecitation§ INTRODUCTION
In the context of ecosystem services, circuit theory has been used to examine the landscape genetic structure and movements of pollinators, especially bees, in response to habitat and land-use changes.
“In the context of ecosystem services, circuit theory has been used to examine the landscape genetic structure and movements of pollinators, especially bees, in response to habitat and land-use changes (e.g., Goulson et al. 2011; Lander et al. 2013; Lozier et al. 2013; Jaffe et al. 2016a, 2016b).”
Quote in the paperNot a substantial claim0 of 3 sources checked - Premisecitation§ INTRODUCTION
The gap in integrating connectivity across transportation infrastructure is especially important given the ubiquity of transportation and its strong population and genetic effects on various animals globally.
“Yet, work integrating connectivity across transportation infrastructure, particularly within the context of regional transportation planning, remains understudied (e.g., Mateo-Sanchez et al. 2014), and this gap is especially important given the ubiquity of transportation and its strong population and genetic effects on various animals globally (Trombulak & Frissell 2000).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites Trombulak & Frissell 2000 source
- Probably not a substantial claim. 33
- It may state two separate claims as one. 11
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ INTRODUCTIONIncreasingly, circuit theory-based analyses are being conducted on larger and more complex datasets through recent advances in open-source software, programming, and cluster- or cloud-based computing resources.
“Increasingly, circuit theory-based analyses are being conducted on larger and more complex datasets through recent advances in open-source software (e.g., gflow; Leonard et al. 2017b), programming (e.g., the Julia numerical computing language; Bezanson et al. 2017), and cluster- or cloud-based computing resources.”
Quote in the paperNot a substantial claim1 of 2 sources checked- cites Leonard et al. 2017b
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Bezanson et al. 2017 source
It may state two separate claims as one.
Premisecitation§ INTRODUCTIONOmnidirectional or wall-to-wall approaches avoid the need to arbitrarily define and delineate discrete areas to connect, revealing important areas for connectivity over continuous landscape gradients.
“‘Omnidirectional’ or ‘wall-to-wall’ approaches (e.g., Walpole et al. 2012; Koen et al. 2014; Pelletier et al. 2014; Anderson et al. 2016; McRae et al. 2016; Supporting Information) avoid the need to arbitrarily define and delineate discrete areas to connect (e.g., habitat cores or patches), revealing important areas for connectivity over continuous landscape gradients.”
Quote in the paperNot a substantial claim2 of 3 sources checkedProbably not a substantial claim.
Premisecitation§ INTRODUCTIONCircuit theory can be used to identify key places for mitigating or restoring connectivity.
“In addition, circuit theory can be used to identify key places for mitigating or restoring connectivity (e.g., McRae et al. 2012; Torrubia et al. 2014) in areas where new investments in transportation infrastructure might prioritize crossing structures for wildlife.”
Quote in the paperSubstantial claim1 of 2 sources checkedIt may state two separate claims as one.
Findingown data§ INTRODUCTIONCircuitscape has been most frequently applied to single, focal species, though studies of two or more species are becoming more common.
“Whatever the geographic or conservation context, Circuitscape has been most frequently applied to single, focal species, though studies of two or more species are becoming more common (Fig. 2).”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Findingown data§ INTRODUCTIONOne of the reviewed studies focused on protists.
“The vast majority of studies addressed animals (n = 228), but ten focused on plants, and one on protists (Dong et al. 2016).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Dong et al. 2016 source
Checked before — its earlier verdict is held back until a new check runs.
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Findingown data§ INTRODUCTIONOf the reviewed studies, 228 addressed animals.
“The vast majority of studies addressed animals (n = 228), but ten focused on plants, and one on protists (Dong et al. 2016).”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Findingown data§ INTRODUCTIONTen of the reviewed studies focused on plants.
“The vast majority of studies addressed animals (n = 228), but ten focused on plants, and one on protists (Dong et al. 2016).”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Findingcitation§ INTRODUCTIONCircuitscape has been applied on every continent (including off the coast of Antarctica).
“Circuitscape has been applied on every continent (including off the coast of Antarctica; Dambach et al. 2016), and several applications spanned multiple continents (e.g., Lawler et al. 2013, Tassi et al. 2015; Fig. 1).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Dambach et al. 2016 source
Probably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Findingown data§ INTRODUCTIONMammals were by far the most common vertebrates studied, followed by birds, amphibians, reptiles, and fish, though arthropods have been studied almost as frequently as birds.
“Mammals were by far the most common vertebrates studied, followed by birds, amphibians, reptiles, and fish, though arthropods have been studied almost as frequently as birds (Fig. 3).”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Findingnone given§ INTRODUCTIONAt least five mammal-focused studies addressed human genomics or movement patterns.
“At least five mammal-focused studies addressed human genomics or movement patterns.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ INTRODUCTIONEcological connectivity is a global priority for preserving biodiversity and ecosystem function.
“Ecological connectivity is a global priority for preserving biodiversity and ecosystem function (UNEP 2015; IUCN 2017) and has long been of interest to conservation biologists (Harris 1984).”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites UNEP 2015
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites IUCN 2017
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ INTRODUCTIONChandra et al. (1996) related resistance distances to "commute times," or the time it takes a random walker to travel from one point to another and back again.
“Specifically, Doyle & Snell (1984) demonstrated that resistance distances from circuit theory are directly proportional to the movements of Markovian random walkers on graphs, and Chandra et al. (1996) related resistance distances to “commute times,” or the time it takes a random walker to travel from one point to another and back again.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Chandra et al. (1996) source
Probably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds. It may state two separate claims as one.
Premisenone given§ INTRODUCTIONIn IBR (but not least-cost models), increasing the number of paths always decreases the total resistance and genetic distance among subpopulations.
“For example, in IBR (but not least-cost models) increasing the number of paths always decreases the total resistance and genetic distance among subpopulations, and habitat degradation increases genetic distance, even outside the least-cost path.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Premisecitation§ INTRODUCTIONMcRae et al. (2008) illustrated how circuit theory could be used to identify multiple (i.e., redundant) movement pathways or habitat corridors and reveal critical 'pinch points' constraining potential flow between focal areas.
“McRae et al. (2008) illustrated how circuit theory could be used to identify multiple (i.e., redundant) movement pathways or habitat corridors and reveal, for example, critical ‘pinch points’ constraining potential flow between focal areas.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites McRae et al. (2008) source
Probably not a substantial claim.
Premisecitation§ INTRODUCTIONMcRae (2006) described the concept that the genetic distance among subpopulations of interest can be estimated by representing the landscape as a circuit board, where each pixel in a raster depiction of the landscape is a resistor, and gene flow between any two subpopulations occurs via all possible chains of resistors linking them, not just along the single chain with the lowest sum of resistanc
“McRae (2006) described the concept that the genetic distance among subpopulations of interest can be estimated by representing the landscape as a circuit board, where each pixel in a raster depiction of the landscape is a resistor, and gene flow between any two subpopulations occurs via all possible chains of resistors linking them, not just along the single chain with the lowest sum of resistanc”
Quote in the paperSubstantial claim0 of 1 sources checked- cites McRae (2006)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper may give no reason why it holds.
Premisenone given§ INTRODUCTIONLeast-cost paths often have clear limitations, including an assumption that individuals have perfect knowledge of the landscape and therefore select a single optimal route.
“However, least-cost paths often have clear limitations, including an assumption that individuals have perfect knowledge of the landscape and therefore select a single optimal route.”
Quote in the paperNot a substantial claimIt may state two separate claims as one.
Premisecitation§ INTRODUCTIONThe 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).”
Quote in the paperSubstantial claim0 of 1 sources checked- cites McRae & Beier 2007 source
Probably not a substantial claim. It may be too vague to check against evidence. The paper’s conclusions may not depend on it.
Interpretationreasoning§ INTRODUCTIONBecause circuit theory uses the same underlying landscape resistance data used by least-cost and other connectivity models, it could readily be added to the toolkits of conservation planners.
“Because circuit theory uses the same underlying landscape resistance data used by least-cost and other connectivity models, it could readily be added to the toolkits of conservation planners.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ INTRODUCTIONThe open-source program Circuitscape has provided accessible means of implementing circuit theory concepts across a range of projects and disciplines.
“The development of accompanying software, such as the open-source program Circuitscape (McRae et al. 2008, 2013; www.circuitscape.org), has provided accessible means of implementing circuit theory concepts across a range of projects and disciplines.”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites McRae et al. 2008 source
- cites McRae et al. 2013
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ INTRODUCTIONMcRae et al. (2008) introduced many readers to the key concepts and metrics used in electrical circuit theory, and how they could be applied to model and map the process of connectivity over extensive landscape, habitat, or population networks.
“Finally, McRae et al. (2008) introduced many readers to the key concepts and metrics used in electrical circuit theory, and how they could be applied to model and map the process of connectivity over extensive landscape, habitat, or population networks (using georeferenced raster grids).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites McRae et al. (2008) source
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisenone given§ INTRODUCTIONCircuit theory provided a much-needed theoretical basis for understanding and mapping patterns of connectivity.
“The approach provided a much-needed theoretical basis for understanding and mapping patterns of connectivity and has been rapidly adopted in conservation biology, other ecological disciplines, and beyond.”
Quote in the paperNot a substantial claimProbably not a substantial claim.
Premisenone given§ AbstractMcRae posited concepts and metrics from electrical circuit theory as a robust way to quantify movement across multiple possible paths in a landscape, not just a single least-cost path or corridor.
“He posited concepts and metrics from electrical circuit theory as a robust way to quantify movement across multiple possible paths in a landscape, not just a single least-cost path or corridor.”
Quote in the paperSubstantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Premisenone given§ AbstractFrom 2006-2008, Brad McRae introduced circuit theory to many ecologists and conservation biologists as an alternative approach to model gene flow and the dispersal or movement routes of organisms.
“From 2006–2008, the late Brad McRae introduced circuit theory to many ecologists and conservation biologists as an alternative approach to model gene flow and the dispersal or movement routes of organisms.”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ INTRODUCTIONLittlefield et al. (2017) mapped connections between climatic conditions today and where those conditions will be in the future (i.e., climate analogs).
“For example, Lawler et al. (2013) used species distribution models to map the routes that organisms might follow to track shifting climates, and Littlefield et al. (2017) mapped connections between climatic conditions today and where those conditions will be in the future (i.e., climate analogs).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Littlefield et al. (2017) source
Probably not a substantial claim. The paper’s conclusions may not depend on it. The paper may give no reason why it holds.
Premisenone given§ INTRODUCTIONBeyond the impacts of transportation corridors, circuit theory applications have addressed a wide range of anthropogenic impacts on connectivity, including urbanization, agriculture, and energy infrastructure.
“Beyond the impacts of transportation corridors, circuit theory applications have addressed a wide range of anthropogenic impacts on connectivity, including urbanization, agriculture, and energy infrastructure (see Supporting Information).”
Quote in the paperNot a substantial claimProbably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ INTRODUCTIONAdvances in data visualization tools have assisted the communication of circuit theory results to a broader set of conservation practitioners, stakeholders, and planning efforts.
“Similarly, advances in data visualization tools have assisted the communication of circuit theory results to a broader set of conservation practitioners, stakeholders, and planning efforts.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Lawler et al. 2013 source
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ INTRODUCTIONThe electronic circuit analogy has been used in a variety of subdisciplines within the field of hydrology.
“The electronic circuit analogy has been used in a variety of subdisciplines within the field of hydrology.”
Quote in the paperNot a substantial claimIt may state two separate claims as one.
Premisecitation§ INTRODUCTIONCircuit theory's basis in random walk theory results in an implicit assumption that individuals moving across a landscape have no knowledge of relative resistance beyond their immediate surroundings, making it particularly appropriate for modeling natal dispersal paths.
“Circuit theory’s basis in random walk theory results in an implicit assumption that individuals moving across a landscape have no knowledge of relative resistance beyond their immediate surroundings, making it particularly appropriate for modeling natal dispersal paths (McRae et al. 2008).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites McRae et al. 2008 source
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ INTRODUCTIONUnderstanding the effects of linear infrastructure such as transportation corridors and other barriers on connectivity and gene flow was a primary impetus for McRae's interest in the theory and development of Circuitscape.
“Indeed, understanding the effects of linear infrastructure such as transportation corridors and other barriers (e.g., international boundary structures, fence lines) on connectivity and gene flow was a primary impetus for McRae’s interest in the theory and development of Circuitscape (McRae 2006).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites McRae 2006
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Premisecitation§ INTRODUCTIONIn their comparison of microsatellite genetic datasets to maps of current density derived using circuit theory, Marrotte et al. (2017) found that current density was not usually a good predictor of gene flow for four terrestrial mammal species in Ontario, especially where habitat amount was high or pinch points were observed.
“In their comparison of microsatellite genetic datasets to maps of current density derived using circuit theory, Marrotte et al. (2017) found that current density was not usually a good predictor of gene flow for four terrestrial mammal species in Ontario, especially where habitat amount was high or pinch points were observed.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Marrotte et al. (2017)
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Interpretationreasoning§ INTRODUCTIONUsers of Circuitscape v5.0 are now able to solve for landscape grids that are larger or derived at finer resolutions than those used in earlier versions, as well as pairwise resistance calculations between a higher number of focal points.
“Users are now able to solve for landscape grids that are larger or derived at finer resolutions than those used in earlier versions, as well as pairwise resistance calculations between a higher number of focal points (see also Supporting Information).”
Quote in the paperNot a substantial claim- Rests on an assumption: The Julia implementation of Circuitscape (v. 5.0) has greatly improved performance and scalability.
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ INTRODUCTIONNational policy in India associated with the Wildlife Protection Act has been informed by Circuitscape-derived models and maps.
“In India, national policy associated with the Wildlife Protection Act, which delineates key habitat areas as tiger reserves, has been informed by Circuitscape-derived models and maps (Qureshi et al. 2014; Dutta et al. 2016).”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Qureshi et al. 2014
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Dutta et al. 2016
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ INTRODUCTIONUsing genetic data to inform models of landscape resistance to movement using circuit theory has since become a standard practice.
“Using genetic data to inform models of landscape resistance to movement using circuit theory has since become a standard practice (Zeller et al. 2012; Simpkins et al. 2018).”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Zeller et al. 2012 source
- cites Simpkins et al. 2018
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ INTRODUCTIONMore recent studies have assessed the vulnerability of populations to climate change due to fragmentation that could potentially impede adaptive shifts in distributions.
“More recent studies have assessed the vulnerability of populations to climate change due to fragmentation that could potentially impede adaptive shifts in distributions (e.g., Leonard et al. 2017a).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Leonard et al. 2017a
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
Probably not a substantial claim. The paper’s conclusions may not depend on it. It may state two separate claims as one.
Interpretationcitation§ INTRODUCTIONResulting metrics and maps of potential fire connectivity may be used to target areas on the landscape where fuel breaks could most effectively hinder fire movement through wildlife habitat, and disrupt the invasive grass-fire cycle.
“Resulting metrics (e.g., current density and centrality) and maps of potential fire connectivity may be used to target areas on the landscape where fuel breaks could most effectively hinder fire movement through wildlife habitat (Welch et al. 2015), and disrupt the invasive grass-fire cycle (Gray & Dickson 2016).”
Quote in the paperNot a substantial claim0 of 2 sources checked- cites Welch et al. 2015
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites Gray & Dickson 2016 source
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ INTRODUCTIONLawler et al. (2013) used species distribution models to map the routes that organisms might follow to track shifting climates.
“For example, Lawler et al. (2013) used species distribution models to map the routes that organisms might follow to track shifting climates, and Littlefield et al. (2017) mapped connections between climatic conditions today and where those conditions will be in the future (i.e., climate analogs).”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Lawler et al. (2013) source
Probably not a substantial claim. The paper’s conclusions may not depend on it.
Premisecitation§ INTRODUCTIONKoh et al. (2013) concluded that the flow of multiple predators on soybean aphids was improved by the presence of adjacent, native 'conservation plantings' that maximize such biocontrol services.
“They concluded that the flow of multiple predators on soybean aphids (Aphis glycines) was improved by the presence of adjacent, native ‘conservation plantings’ that maximize such biocontrol services.”
Quote in the paperNot a substantial claim0 of 1 sources checked- cites Koh et al. (2013) source
It may state two separate claims as one.
Premisecitation§ INTRODUCTIONCircuit theory has assumptions and caveats that still need to be addressed, including modeling long-distance dispersal events and asymmetric migration.
“Additionally, several assumptions and caveats still need to be addressed, such as modeling long-distance dispersal events (McRae 2006) and asymmetric migration (McRae et al. 2008; but see Hanks 2017).”
Quote in the paperNot a substantial claim0 of 3 sources checked- cites McRae 2006
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
- cites McRae et al. 2008 source
- cites Hanks 2017
Couldn’t be matched to a paper in Crossref, so it can’t be checked.
The paper relies on this without support.
The Julia implementation of Circuitscape (v. 5.0) has greatly improved performance and scalability.
“The Julia implementation of Circuitscape (v. 5.0) has greatly improved performance and scalability.”
The paper relies on this without support.
Circuitscape and other related applications have undergone rapid and near constant refinement and improvement since the initial applications of circuit theory in conservation.
“Since the initial applications of circuit theory in conservation, Circuitscape and other related applications have undergone rapid and near constant refinement and improvement.”
The paper relies on this without support.
McRae played a major role in the development of generalized connectivity maps produced with wall-to-wall and ‘Omniscape’ versions of Circuitscape models.
“In his work at TNC, McRae played a major role in the development of generalized connectivity maps produced with wall-to-wall (Anderson et al. 2016) and ‘Omniscape’ (McRae et al. 2016; Supporting Information) versions of Circuitscape models.”
The paper relies on this without support.
Regional-scale flow maps remain a key component in TNC’s Conserving Nature’s Stage approach for identifying land protection priorities.
“These regional-scale flow maps remain a key component in TNC’s Conserving Nature’s Stage approach for identifying land protection priorities, which to date has helped guide decisions on US$38 million in land protection funding.”
The paper relies on this without support.
TNC’s Conserving Nature’s Stage approach has to date helped guide decisions on US$38 million in land protection funding.
“These regional-scale flow maps remain a key component in TNC’s Conserving Nature’s Stage approach for identifying land protection priorities, which to date has helped guide decisions on US$38 million in land protection funding.”
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Circuit theory models spatial connectivity in contexts where individuals have limited but directed knowledge of the landscape.
“This logic is compatible with the application of circuit theory [25], which models spatial connectivity in contexts where individuals have limited but directed knowledge of the landscape.”
From Tracing neanderthal mobility through the romanian carpathians: a GIS-based least-cost connectivity model (2025) · cites this paper as [25]
The Introduction says circuit theory is particularly appropriate when moving individuals have limited knowledge of the surrounding landscape. It describes the model as a random walk in which individuals have no knowledge of relative resistance beyond their immediate surroundings; it does not support the added characterization of their knowledge as directed. (LLM, conf=0.86)
Experimental — accuracy not yet measuredGIS technologies and least-cost analysis tools such as Linkage Mapper and Circuitscape have demonstrated potential in diverse fields, from biodiversity conservation to ecological networks.
“GIS technologies and least-cost analysis tools, such as Linkage Mapper [19] and Circuitscape [20], have demonstrated their potential in diverse fields, from biodiversity conservation to the study of ecological networks [21–25].”
From Tracing neanderthal mobility through the romanian carpathians: a GIS-based least-cost connectivity model (2025) · cites this paper as [25]
The Introduction identifies Circuitscape as software used across projects and disciplines, supporting its use as an example of a connectivity tool. But it describes circuit theory as an alternative to least-cost modeling, so calling Circuitscape a least-cost analysis tool is not supported. (LLM, conf=0.84)
Experimental — accuracy not yet measuredIn just two years, the collection of Circuitscape applications grew by over 180 papers compared to the Dickson et al. review.
“In just two years, the collection grew by over 180 papers (Figure 1a,b).”
From Circuitscape in julia: empowering dynamic approaches to connectivity assessment (2021) · cites this paper as [16]
The Introduction reports that Dickson et al. reviewed 459 papers, of which 277 directly used Circuitscape, providing a baseline for comparison. It does not report that the collection grew by over 180 papers in the following two years; that later increase is not established by this source. (LLM, conf=0.86)
Experimental — accuracy not yet measuredThe circuit-theoretic approach to connectivity modeling has been gaining popularity over the past decade.
“The circuit-theoretic approach to connectivity modeling was a more recent innovation, and it has been gaining popularity over the past decade (Dickson et al., 2019;McRae, 2006;McRae et al., 2008).”
From Omniscape.jl: software to compute omnidirectional landscape connectivity (2021) · cites this paper as Dickson et al., 2019
The authors assembled a comprehensive set of peer-reviewed Circuitscape applications.
“In support of the effort to update Circuitscape without McRae's leadership, and inspired by the breadth of applications described in the Dickson et al. review [16], we assembled a comprehensive set of peer-reviewed Circuitscape applications.”
From Circuitscape in julia: empowering dynamic approaches to connectivity assessment (2021) · cites this paper as [16]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
Each contradiction between two passages listed here was confirmed by an independent check.
gflow citation points to the sea-level-rise paper
MinorThe text cites Leonard et al. 2017b for gflow software, but the 2017b reference concerns connectivity losses due to sea-level rise and land-use change. The gflow paper is listed as Leonard et al. 2017a.
“recent advances in open-source software (e.g., gflow; Leonard et al. 2017b)”
“Leonard PB, Sutherland RW, Baldwin RF, Fedak DA, Carnes RG, Montgomery AP. 2017b. Landscape connectivity losses due to sea level rise and land use change. Animal Conservation 20:80–90. [Google Scholar]”
Climate-change citation points to the gflow software paper
MinorThe text cites Leonard et al. 2017a for connectivity losses associated with sea-level rise and land-use change, but the 2017a reference is a paper about gflow software. The sea-level-rise paper is listed as Leonard et al. 2017b.
“More recent studies have assessed the vulnerability of populations to climate change due to fragmentation that could potentially impede adaptive shifts in distributions (e.g., Leonard et al. 2017a).”
“Leonard PB, Duffy EB, Baldwin RF, McRae BH, Shah VB, Mohapatra TK. 2017a. gflow: software for modelling circuit theory-based connectivity at any scale. Methods in Ecology & Evolution 8:519–526. [Google Scholar]”
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Integrating functional connectivity and fire management for better conservation outcomes
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A Validation Procedure for Ecological Corridor Locations
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Metadata
- Authors
- 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., Littlefield, C. E., McClure, M. L., Novembre, J., Schloss, C. A., Schumaker, N. H., Shah, V. B., & Theobald, D. M.
- Affiliations
- Northern Arizona University (US)
- Conservation Science Partners (US)
- Julia Computing 45 Prospect Street Cambridge MA 02139 U.S.A.
- The Nature Conservancy (US)
- Northern Rocky Mountain Science Center (US)
- University of Washington (US)
- United States Fish and Wildlife Service (US)
- University of Chicago (US)
- Environmental Protection Agency (US)
- Corresponding author
- Dickson, Brett G.
- Venue
- Conservation Biology
- Publisher
- Wiley
- Published
- 2018-11-27
- Volume
- 33
- Issue
- 2
- Pages
- 239-249
- ISSN
- 0888-8892 (ISSN-L)
- 1523-1739
- PMC
- PMC6727660
- OpenAlex
- W2896699618
- Cited by
- 461
- References
- 106
- Citations by year
- 2026: 84 · 2025: 81 · 2024: 73 · 2023: 67 · 2022: 61 · 2021: 51 · 2020: 29 · 2019: 13 · 2018: 1
- FWCI
- 2.13
- Type
- journal article
- Language
- en
- Open access
- green
- www.ncbi.nlm.nih.gov
- Licence
- Locations
- Conservation Biology (publishedVersion)
- PubMed (publishedVersion)
- Europe PMC (PubMed Central) (acceptedVersion)
- PubMed Central (acceptedVersion)
- Funders
- Wilburforce Foundation
- National Aeronautics and Space Administration
- University of Washington
- U.S. Environmental Protection Agency
- Topics
- Physical Sciences › Environmental Science › Ecology › Wildlife-Road Interactions and Conservation
- Physical Sciences › Environmental Science › Ecology › Wildlife Ecology and Conservation
- Physical Sciences › Environmental Science › Global and Planetary Change › Land Use and Ecosystem Services
- Keywords
- circuit theory, ecological connectivity, Circuitscape, gene flow, animal dispersal, landscape genetics, population genetics, anthropogenic barriers, fire behavior, water flow, ecosystem services, habitat use, animal movement
- MeSH terms
- Animals, Conservation of Natural Resources, Ecology, Ecosystem, Gene Flow, Islands
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
A language model drew the claims from the paper on 2026-11-08, under version 3 of the claim definition (model deepseek-v4.1-flash, prompt extract-v3).
A second model labelled each claim on 2026-11-08 (model jev-1.13-20260917, definition revision gold-guideline-v0.2).
Cited sources are checked with a language model’s help (gpt-6-sol).
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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