Transport on fractal river networks: Application to migration fronts

Campos, Daniel; Fort, Joaquim; Méndez, Vicenç

doi:10.1016/j.tpb.2005.09.001

Cited by 76 publications

(93 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…This supports our hypothesis that the dynamics of cholera epidemics in nonendemic regions depend on the spatially anisotropic spreading along an environmental matrix defined by river corridors as well as on inner local dynamics. Similar results in a different context were obtained by Campos et al [2006], Bertuzzo et al [2007], and Muneepeerakul et al [2007]. Comparison between the data (dots) and simulated (solid line) temporal evolution of (a) weekly cholera cases and (b) cumulated cases for the Thukela river basin of the KwaZulu-Natal province.…”

Section: Resultssupporting

confidence: 73%

See 1 more Smart Citation

On the space‐time evolution of a cholera epidemic

Bertuzzo

Azaele

Maritan³

et al. 2008

Water Resources Research

118

138

View full text Add to dashboard Cite

[1] We study how river networks, acting as environmental corridors for pathogens, affect the spreading of cholera epidemics. Specifically, we compare epidemiological data from the real world with the space-time evolution of infected individuals predicted by a theoretical scheme based on reactive transport of infective agents through a biased network portraying actual river pathways. The data pertain to a cholera outbreak in South Africa which started in 2000 and affected in particular the KwaZulu-Natal province. The epidemic lasted for 2 years and involved about 140,000 confirmed cholera cases. Hydrological and demographic data have also been carefully considered. The theoretical tools relate to recent advances in hydrochory, migration fronts, and infection spreading and are novel in that nodal reactions describe the dynamics of cholera. Transport through network links provides the coupling of the nodal dynamics of infected people, who are assumed to reside at the nodes. This proves a realistic scheme. We argue that the theoretical scheme is remarkably capable of predicting actual outbreaks and, indeed, that network structures play a controlling role in the actual, rather anisotropic propagation of infections, in analogy to spreading of species or to migration processes that also use rivers as ecological corridors.

show abstract

Section: Resultssupporting

confidence: 73%

“…The model explicitly recognizes a role for network structures acting as support for the infection, in analogy to recent studies on migrating fronts constrained by landscape heterogeneities or spreading of species along riparian ecological corridors [Campos et al, 2006;Bertuzzo et al, 2007;Muneepeerakul et al, 2007].…”

Section: Introductionmentioning

confidence: 99%

On the space‐time evolution of a cholera epidemic

Bertuzzo

Azaele

Maritan³

et al. 2008

Water Resources Research

118

138

View full text Add to dashboard Cite

show abstract

“…We conjecture that the key difference between lakes and rivers, and the importance of the latter to promote linguistic diversification, relies in transportation. Water courses have been instrumental in the dispersion of humans [27], of which the fast European settlement process in North America [28] is a prominent example. In ancient times, regions where river branches meet were regions where human groups met and settled.…”

Section: Discussionmentioning

confidence: 99%

River density and landscape roughness are universal determinants of linguistic diversity

Axelsen

Manrubia²

2014

Proc. R. Soc. B.

View full text Add to dashboard Cite

Global linguistic diversity (LD) displays highly heterogeneous distribution patterns. Though the origin of the latter is not yet fully understood, remarkable parallelisms with biodiversity distribution suggest that environmental variables should play an essential role in their emergence. In an effort to construct a broad framework to explain world LD and to systematize the available data, we have investigated the significance of 14 variables: landscape roughness, altitude, river density, distance to lakes, seasonal maximum, average and minimum temperature, precipitation and vegetation, and population density. Landscape roughness and river density are the only two variables that universally affect LD. Overall, the considered set accounts for up to 80% of African LD, a figure that decreases for the joint Asia, Australia and the Pacific (69%), Europe (56%) and the Americas (53%). Differences among those regions can be traced down to a few variables that permit an interpretation of their current states of LD. Our processed datasets can be applied to the analysis of correlations in other similar heterogeneous patterns with a broad spatial distribution, the clearest example being biological diversity. The statistical method we have used can be understood as a tool for cross-comparison among geographical regions, including the prediction of spatial diversity in alternative scenarios or in changing environments.

show abstract

“…Only recently have the contributions of landscape spatial structure 18 , for example, to biodiversity patterns in river networks 1 , been investigated. Furthermore, implications of hydrological controls placed by river networks as ecological corridors have recently been explored 19,20 . Here we analyse a large database of fish diversity in the MMRS to compare empirical biodiversity patterns against those predicted by a neutral metacommunity model (see Methods).…”

mentioning

confidence: 99%