scholarly journals A Non-local Cross-Diffusion Model of Population Dynamics I: Emergent Spatial and Spatiotemporal Patterns

2020 ◽  
Vol 82 (8) ◽  
Author(s):  
Nick P. Taylor ◽  
Hyunyeon Kim ◽  
Andrew L. Krause ◽  
Robert A. Van Gorder
Keyword(s):  
Population Dynamics ◽  
Diffusion Model ◽  
Spatiotemporal Patterns ◽  
Cross Diffusion ◽  
Non Local

Local vs. non-local interactions in population dynamics

1989 ◽  
Vol 27 (1) ◽  
pp. 65-80 ◽  
Author(s):  
J. Furter ◽  
M. Grinfeld
Keyword(s):  
Population Dynamics ◽  
Local Interactions ◽  
Non Local

scholarly journals Finite-volume scheme for a degenerate cross-diffusion model motivated from ion transport

2018 ◽  
Vol 35 (2) ◽  
pp. 545-575 ◽  
Author(s):  
Clément Cancès ◽  
Claire Chainais-Hillairet ◽  
Anita Gerstenmayer ◽  
Ansgar Jüngel
Keyword(s):  
Ion Transport ◽  
Diffusion Model ◽  
Finite Volume ◽  
Finite Volume Scheme ◽  
Volume Scheme ◽  
Cross Diffusion

Using Emerging hot Spot Analysis to Explore Spatiotemporal Patterns of Housing Vacancy in Ohio Metropolitan Statistical Areas

2021 ◽  
pp. 107808742110650
Author(s):  
Victoria Morckel ◽  
Noah Durst
Keyword(s):  
Population Dynamics ◽  
Hot Spot ◽  
Spatiotemporal Patterns ◽  
Hot Spot Analysis ◽  
Metropolitan Statistical Areas ◽  
Census Tracts ◽  
Physical Conditions ◽  
Close Proximity ◽  
Housing Vacancy ◽  
Spot Analysis

We highlight the use of a newer method—emerging hot spot analysis of space-time cubes from defined locations—for examining the spread of housing vacancy in large, Ohio MSAs. Using this method, we discovered that many Ohio MSAs concurrently experienced spread, contraction, and vacancy stabilization in census tracts located adjacent to, or within close proximity of, one another. These results indicate that vacancy proliferation is not solely a matter of geographic determinism, whereby high vacancy in one tract predicts high vacancy in neighboring tracts in future years. We also found that vacancy spread at the tract level is associated with population dynamics at the neighborhood, city, and MSA levels. Our findings suggest that vacancy reduction initiatives should account for population trends at various geographic scales, not just physical conditions within a particular neighborhood or tract.

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