This was the talk given by Andrea Rinaldo for the opening day of the 2013-2014 Doctoral Academic year of our doctoral School. Andrea is possibly the most influential Italian hydrologist ever (if we do not count as proto-hydrologist Leonardo da Vinci).

It was a fascinating and passionate travel through river networks structure (their topology, their physical origin), a research of which I was a active witness for some period, and the spreading of diseases or populations (but without loosing appropriate generality in the description of the phenomena) along the networks.

**Cited References (The ones I could reconstruct)**

Ammerman & Cavalli Sforza, The Neolithic transition and the Genetics of population in Europe, Princeton Univ. Press 1984^1

Bertuzzo, E., A. Maritan, M. Gatto, I. Rodriguez-Iturbe, and A. Rinaldo (2007), River networks and ecological corridors:Reactive transport on fractals, migration fronts, hydrochory, Water Resour. Res., 43, W04419, doi:10.1029/2006WR005533.

Bertuzzo, E., S. Azaele, A. Maritan, M. Gatto, I. Rodriguez-Iturbe, and A. Rinaldo (2008), On the space-time evolution of a cholera epidemic, Water Resour. Res., 44, W01424, doi:10.1029/2007WR006211.

E. Bertuzzo,Casagrandi R. , Gatto M. ,Rodriguez-Iturbe I.,

and Rinaldo A. , On spatially explicit models of cholera epidemics, J. R. Soc. Interface (2010) 7, 321–333 doi:10.1098/rsif.2009.0204

E Bertuzzo, L Mari, L Righetto, M Gatto, R Casagrandi, M Blokesch, I Rodriguez‐Iturbe, A Rinaldo, Prediction of the spatial evolution and effects of control measures for the unfolding Haiti cholera outbreak, Geophysical Research Letters, Vol 38, No 6, 2011

Campos, D., Fort, J., & Méndez, V. (2006). Transport on fractal river networks: Application to migration fronts. Theoretical Population Biology, 69(1), 88–93. doi:10.1016/j.tpb.2005.09.001

Carrara, F., Altermatt, F., Rodriguez-Iturbe, & Rinaldo, A. (2012). Dendritic connectivity controls biodiversity patterns in experimental metacommunities, 1–6. doi:10.1073/pnas.1119651109/-/DCSupplemental/pnas.201119651SI.pdf

F. Carrara, A. Rinaldo, A. Giometto and F. Altermatt. Complex Interaction of Dendritic Connectivity and Hierarchical Patch Size on Biodiversity in River-Like Landscapes, in The American Naturalist, vol. 183, num. 1, p. 13-25, 2014.

Chao, D., Halloran, M. E., & Longini, I. M. (2011). Vaccination strategies for epidemic cholera in Haiti with implications for the developing world. Pnas, 1–5. doi:10.1073/pnas.1102149108/-/DCSupplemental/sapp.pdf

Codeço, C. T. (2001). Endemic and epidemic dynamics of cholera: the role of the aquatic reservoir. BMC Infectious Disease, 1–14.

Capasso V, Paveri-Fontana SL., A mathematical model for the 1973 cholera epidemic in the European Mediterranean region, Rev Epidemiol Sante Publique. 1979 Sep 18;27(2):121-32.

Colaiori et al., PRE, 2003 ?

Gatto, M., Mari, L., Bertuzzo, E., Casagrandi, R., Righetto, L., Rodriguez-Iturbe, I., & Rinaldo, A. (2012). Generalized reproduction numbers and the prediction of patterns in waterborne disease. PNAS, 1–6. doi:10.1073/pnas.1217567109/-/DCSupplemental

M Gatto, L Mari, E Bertuzzo, R Casagrandi, L Righetto, I Rodriguez-Iturbe, and A. Rinaldo, Spatially explicit conditions for waterborne pathogen invasion, The American Naturalist 182 (3), 328-346

A Giometto, F Altermatt, F Carrara, A Maritan, A Rinaldo, Scaling body size fluctuations

Proceedings of the National Academy of Sciences 110 (12), 4646-4650

Hartley et al, PNAS, 2006

Hubbel, 2001

Greg Huber, Scheidegger's rivers, Takayasu's aggregates and continued fractions, Physica A: Statistical Mechanics and its Applications, Volume 170, Issue 3, 15 January 1991, Pages 463–470

A Kolmogorov, L Petrovsky, N Piskunov, An investigation of the diffusion equation combined with an increase in mass and its application to a biological problem - Bull. Uni. Moscow Ser. Int. A, 1937

Leopold, L. B.; Langbein, W. B., The concept of entropy in landscape evolution

1962, USGS Professional Paper: 500-A

Marani, A., R. Rigon and A. Rinaldo, A Note on fractal channel networks,Water Resources Research, (27)5, 3041-3049, 1991.

L Mari, E Bertuzzo, R Casagrandi, A Rinaldo, M Gatto,

A spatially-explicit model for the spread of the zebra mussel (Dreissena polymorpha) along river networks: some preliminary results

A spatially-explicit model for the spread of the zebra mussel (Dreissena polymorpha) along river networks: some preliminary results

L Mari, E Bertuzzo, L Righetto, R Casagrandi, M Gatto, I Rodriguez-Iturbe, and A. Rinaldo,

Journal of The Royal Society Interface 9 (67), 376-388

L Mari, E Bertuzzo, R Casagrandi, M Gatto, SA Levin, I Rodriguez‐Iturbe, and A. Rinaldo, Hydrologic controls and anthropogenic drivers of the zebra mussel invasion of the Mississippi‐Missouri river system

Water Resources Research 47 (3)

L Mari, R Casagrandi, E Bertuzzo, A Rinaldo, M Gatto,

Metapopulation persistence and species spread in river networks

Metapopulation persistence and species spread in river networks

Ecology letters

R Muneepeerakul, JS Weitz, SA Levin, A Rinaldo, I Rodriguez-Iturbe,

Journal of Theoretical Biology 245 (2), 351-363 2007

R Muneepeerakul, A Rinaldo, I Rodriguez‐Iturbe,

Effects of river flow scaling properties on riparian width and vegetation biomass

Effects of river flow scaling properties on riparian width and vegetation biomass

Water Resources Research 43 (12)

R Muneepeerakul, SA Levin, A Rinaldo, I Rodriguez‐Iturbe,

On biodiversity in river networks: A trade‐off metapopulation model and comparative analysis

On biodiversity in river networks: A trade‐off metapopulation model and comparative analysis

Water Resources Research 43 (7)

R Muneepeerakul, E Bertuzzo, HJ Lynch, WF Fagan, A Rinaldo, ...

Neutral metacommunity models predict fish diversity patterns in Mississippi–Missouri basin,

Neutral metacommunity models predict fish diversity patterns in Mississippi–Missouri basin,

Nature 453 (7192), 220-222, 2008

DW Murray, AJ Carr et al., Survival analysis of joint replacements, Journal of Bone & Joint …, 1993 - bjj.boneandjoint.org.uk

Pascual M, Bouma MJ, Dobson AP (2002) Cholera and climate: Revisiting the quantitative evidence. Microbes Infect 4: 237–245

Pascual, M. and Dobson A., Seasonal Patterns of Infectious Diseases, 2005, DOI: 10.1371/journal.pmed.0020005

Renaud Piarroux, Robert Barrais, Benoît Faucher, Rachel Haus, Martine Piarroux, Jean Gaudart, Roc Magloire, and Didier Raoult, Understanding the Cholera Epidemic, Haiti, Emerg Infect Dis. 2011 July; 17(7): 1161–1168. doi: 10.3201/eid1707.110059

PMCID: PMC3381400

Rinaldo et al., PNAS, in press

Rodriguez-Iturbe, I. , A. Rinaldo, R. Rigon, R. L. Bras, A. Marani and E.J. Ijjasz-Vasquez, Energy dissipation, runoff production, and the 3-dimensional structure of river basin, Water Resources Research, (28)4, 1095-1103, 1992.

Rinaldo, A., I. Rodriguez-Iturbe, R. Rigon, R.L. Bras, E. J. Ijjasz-Vasquez e A. Marani, Minimum energy and fractal structures of drainage networks, Water Resources Research, (28), 2183, 1992.

Rodriguez-Iturbe, I. , A. Rinaldo, R. Rigon, R. L. Bras, A. Marani and E.J. Ijjasz-Vasquez, Fractal structure as least energy patterns: The case of river networks, Geophysical Res. Letters, (19)9, 889-892, 1992.

Rodriguez-Iturbe & Rinaldo, Fractal River Basins: Chance and Self-Organization, Cambridge Univ, Press, 2007

M Takayasu, A Provata, G Huber, Statistical models of river networks, J. Stat. Phys 65, 725-745, 1991

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^1 - See also: M. Gkiasta, T. Russell, S.Shennan, and James Steele, Neolithic transiti on in Europe: the radiocarbon record revisited - UCL
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