Dispersal, Individual Movement and Spatial Ecology

Lewis, Mark A.; Maini, Philip K.; Petrovskii, Sergei

doi:10.1007/978-3-642-35497-7

Cited by 32 publications

(4 citation statements)

References 15 publications

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“…The results obtained in this paper provide the framework to transposing such results to a range of applications exhibiting other regimes of transport, such as have been studied in the context of optimal intermittent search strategies [22]. Our theoretical framework brings about new perspectives to extend the study of intermittent walks to power-law distributed ballistic phases, which may be relevant to the increasing body of literature on optimal search strategies [8,29,30].…”

Section: Discussionmentioning

confidence: 81%

“…In both panels, the scaling parameter takes the values α = 3/2 (green curve), 2 (cyan curve), and 5/2 (red curve). The right panel corresponds to a perturbative regime, such that S 0 (t) can be approximated by a first-order polynomial in (darker curves) whose first-order coefficient varies with time; see equation (29). The agreement between the exact and the approximate solutions improves as the value of decreases.…”

Section: Time-dependent Fraction Of Particles In the Scattering Statementioning

confidence: 99%

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Lévy walks on lattices as multi-state processes

Cristadoro¹,

Gilbert²,

Lenci³

et al. 2015

J. Stat. Mech.

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Continuous-time random walks combining diffusive scattering and ballistic propagation on lattices model a class of Lévy walks. The assumption that transitions in the scattering phase occur with exponentially-distributed waiting times leads to a description of the process in terms of multiple states, whose distributions evolve according to a set of delay differential equations, amenable to analytic treatment. We obtain an exact expression of the mean squared displacement associated with such processes and discuss the emergence of asymptotic scaling laws in regimes of diffusive and superdiffusive (subballistic) transport, emphasizing, in the latter case, the effect of initial conditions on the transport coefficients. Of particular interest is the case of rare ballistic propagation, in which case a regime of superdiffusion may lurk underneath one of normal diffusion.

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Section: Discussionmentioning

confidence: 81%

Section: Time-dependent Fraction Of Particles In the Scattering Statementioning

confidence: 99%

Lévy walks on lattices as multi-state processes

Cristadoro¹,

Gilbert²,

Lenci³

et al. 2015

J. Stat. Mech.

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“…The term "Diaspora" originates from an ancient term dispersion (Grossman, 2019). Since dispersion refers to movement, one place to another due to some reasons (Lewis et al, 2013), diaspora can also be used in the same context (Ogunyemi, 2020). In post-colonial literature, this term is significantly essential as it focuses on the concept of displacement, and in history, many groups had to displace for different reasons (McLeod, 2020).…”

Section: Diasporamentioning

confidence: 99%

Diasporic and Cross-Cultural Identities in Pakistani Film Khuda Ke Liye (In the Name of God)

Sibtain

Javed

Aslam

et al. 2021

HSSR

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Purpose: The study aims to identify the various diasporic identities, hybrid identities, and identity crisis analyses of a Pakistani film, ‘Khuda Kay Liye’ released on July 20, 2007, written, directed, and produced by Shoaib Mansoor. Method: The present study is qualitative by nature and interpretive by approach. The researchers collected the primary data from the film watching it profoundly. The secondary data was collected from the various relevant articles published in periodicals/journals to build the theoretical argument—analyzing the data utilizing the thematic analysis technique. Main Findings: This qualitative analysis enlightens more significant issues about diaspora and identities in the focused film. Individuals in the film represent themselves distinctive living in another society, culture, or religion, practicing their native (Pakistani) cultural norms and ideologically. Moreover, as a subordinate ethnic group, specifically Muslim characters in the film, face discrimination and oppression. Through qualitative discussions based on excerpts dealing with socio-cultural behavior, the researchers concluded that diasporic identities constitute the core thematic content of the film. Application of the Study: The study would be significant for understanding diasporic and hybrid identities. The academic researcher may adopt the theoretical framework of the present research to employ it on the other genres of Pakistani literature to find the diasporic identities and identity crises. The teachers of Pakistani literature would also seek help to understand and teach the concepts analyzed in the research. The Study’s Originality: The study is contemporary as it employs conceptual, theoretical frameworks to explore the diasporic features in a film.

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“…However, these movement decisions have an effect not only on individuals' locations but also on the spatial distribution of the whole population [8]. To understand this individual-to-population upscaling in a non-speculative way requires mathematical models that are built from the underlying movement processes of individuals [9]. Such models exhibit emergent phenomena on the population level that can be then quantified and related concretely to the underlying mechanisms of individual movement (e.g., [10,11]).…”

Section: Introductionmentioning

confidence: 99%

Directionally Correlated Movement Can Drive Qualitative Changes in Emergent Population Distribution Patterns

Potts

2019

Mathematics

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A fundamental goal of ecology is to understand the spatial distribution of species. For moving animals, their location is crucially dependent on the movement mechanisms they employ to navigate the landscape. Animals across many taxa are known to exhibit directional correlation in their movement. This work explores the effect of such directional correlation on spatial pattern formation in a model of between-population taxis (i.e., movement of each population in response to the presence of the others). A telegrapher-taxis formalism is used, which generalises a previously studied diffusion-taxis system by incorporating a parameter T, measuring the characteristic time for directional persistence. The results give general criteria for determining when changes in T will drive qualitative changes in the predictions of linear pattern formation analysis for N ≥ 2 populations. As a specific example, the N = 2 case is explored in detail, showing that directional correlation can cause one population to ‘chase’ the other across the landscape while maintaining a non-constant spatial distribution. Overall, this study demonstrates the importance of accounting for directional correlation in movement for understanding both quantitative and qualitative aspects of species distributions.

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Dispersal, Individual Movement and Spatial Ecology

Cited by 32 publications

References 15 publications

Lévy walks on lattices as multi-state processes

Lévy walks on lattices as multi-state processes

Diasporic and Cross-Cultural Identities in Pakistani Film Khuda Ke Liye (In the Name of God)

Directionally Correlated Movement Can Drive Qualitative Changes in Emergent Population Distribution Patterns

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