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The use of networks in the
 study of climate-related
     vulnerabilities
        Marco Pautasso,
       Division of Biology,
     Imperial College London,
          Silwood Park


    PIK Potsdam, 2 August 2010
Research
             y        Empirical



Biodiversity                  x
                          Disease

  z
 Theoretical     Review
Research interests - 1. Macroecology




                                                                abundance (individuals)
                                                               (c)




                                                                Log10 assemblage
                                                                                          Log10 plot area (km2)
Log10 plot area (km2)




                              Survey year
               (a), (b) & (c) from: Pautasso & Gaston (2006) Global Ecology & Biogeography;
               (d) from: Pautasso & Gaston (2005) Ecology Letters
Research interests - 2. Landscape pathology




Picture: D. Rizzo, UC Davis   Pautasso et al. (2010) Biological Reviews
Research interests - 3. Network epidemiology

                                  NATURAL
Network pictures from:
Newman (2003) SIAM Review
                                                food webs

                                             cell
                                          metabolism
                                                  neural                   Food web of Little Rock
                                                 networks                    Lake, Wisconsin, US
                                                ant nests      sexual
                                                            partnerships
                                               DISEASE
                                               SPREAD
                                                             family
                                     innovation             networks
Internet                                flows co-authorship                                 HIV
structure                     railway urban road nets                                     spread
                 electrical  networks networks                                           network
               power grids                                telephone calls
                                                WWW
          computing          airport Internet              E-mail
                                                                     committees
            grids           networks     software maps    patterns
TECHNOLOGICAL                                                                    SOCIAL
Modified from: Jeger et al. (2007) New Phytologist
Current research – 1. epidemic modelling
                 in small-size directed networks
                                                      N replicates = 100;
                                                    error bars are St. Dev.;
                                                    different letters show
                                                     sign. different means
                                                           at p < 0.05




from: Moslonka-Lefebvre et al. (2009) Journal of Theoretical Biology
Current research -
   2. fire blight epidemic development in Switzerland
  2003-07
  1995                                      1999




  2003                                      2007




From: Eidgenössisches Volkswirtschaftsdepartement, Swiss Confederation
Current research – 3. biogeography of the
(a)
         living collections of the world’s botanical gardens
                                    (c)

                                                                                 (c)




                                                        log10 spp richness (n)
                                                                   (d)
                                                                                             (yr)
  (b) Size of countries reflects n of botanic gardens
                                                                                       (d)




b from: http://www.worldmapper.org/

a, c & d: from: Pautasso & Parmentier (2007) Botanica Helvetica
Acknowledgements

                     Ingrid Parmentier,
Peter Weisberg,       Univ. of Brussels,
Univ. of Nevada,          Belgium
  Reno, USA                              Mike Jeger,
                 Ottmar                                     Mike Shaw,
                                       Imperial College,     Univ. of
           Holdenrieder,                  Silwood
              ETHZ, CH                                       Reading


                  Kevin
                Gaston,
  Mike          Univ. of
  McKinney,    Sheffield                            Joan Webber,
  Univ. of                                         Forest Research
                                     Mathieu
  Tennessee,                   Moslonka-Lefebvre,
  USA                         Agro-Paris Tech, France
US counties with (•) or without (o)
            Universities and/or Botanical Gardens
                 • N = 692, r2 = 0.13, y = 2.15 (SE = 0.08) + 0.15 (SE = 0.01) x, p < 0.0001

                 o N = 2187, r2 = 0.10, y = 2.18 (SE = 0.05) + 0.15 (SE = 0.01) x, p < 0.0001




from: Pautasso & McKinney (2007) Conservation Biology
European trade flows in ornamental plants (2004)




Dehnen-Schmutz et al. (2010) Scientia Horticulturae
Simple model of infection spread (e.g. P. ramorum) in a network
                          pt probability of infection transmission
                          pp probability of infection persistence

             node 1             2         3        4        5   6   7   8   … 100

  step 1




  step 2




  step 3
    …
  step n
from: Moslonka-Lefebvre et al. (in review) Phytopathology
Lower epidemic threshold for scale-free networks
                      with positive correlation between in- and out-degree
                             1.00
                                                                        local
probability of persistence



                                                                        random
                             0.75                                       small-world
                                                                        scale-free (two-way)
                                                                        scale-free (uncorrelated)
                             0.50                                       scale-free (one way)



                             0.25



                             0.00
                                0.00              0.25           0.50            0.75               1.00
                                       Epidemic      probability of transmission
                                       does not
                                       develop                                     Epidemic develops
         modified from: Pautasso & Jeger (2008) Ecological Complexity
Living collections of the world’s botanic gardens (2)




from: Golding et al. (2010) Annals of Botany
References
Dehnen-Schmutz K, Holdenrieder O, Jeger MJ & Pautasso M (2010) Structural change in the international horticultural
industry: some implications for plant health. Scientia Horticulturae 125: 1-15
Golding J, Güsewell S, Kreft H, Kuzevanov VY, Lehvävirta S, Parmentier I & Pautasso M (2010) Species-richness
patterns of the living collections of the world's botanic gardens: a matter of socio-economics? Annals of Botany 105:
689-696
Harwood TD, Xu XM, Pautasso M, Jeger MJ & Shaw M (2009) Epidemiological risk assessment using linked network
and grid based modelling: Phytophthora ramorum and P. kernoviae in the UK. Ecological Modelling 220: 3353-3361
MacLeod A, Pautasso M, Jeger MJ & Haines-Young R (2010) Evolution of the international regulation of plant pests and
challenges for future plant health. Food Security 2: 49-70
Moslonka-Lefebvre M, Pautasso M & Jeger MJ (2009) Disease spread in small-size directed networks: epidemic
threshold, correlation between links to and from nodes, and clustering. Journal of Theoretical Biology 260: 402-411
Moslonka-Lefebvre M, Finley A, Dorigatti I, Dehnen-Schmutz K, Harwood T, Jeger MJ, Xu XM, Holdenrieder O &
Pautasso M (2011) Networks in plant epidemiology: from genes to landscapes, countries and continents.
Phytopathology 101: 392-403
Pautasso M (2009) Geographical genetics and the conservation of forest trees. Perspectives in Plant Ecology,
Systematics and Evolution 11: 157-189
Pautasso M, Dehnen-Schmutz K, Holdenrieder O, Pietravalle S, Salama N, Jeger MJ, Lange E & Hehl-Lange S (2010)
Plant health and global change – some implications for landscape management. Biological Reviews 85: 729-755
Pautasso M, Moslonka-Lefebvre M & Jeger MJ (2010) The number of links to and from the starting node as a predictor
of epidemic size in small-size directed networks. Ecological Complexity 7: 424-432
Pautasso M, Xu XM, Jeger MJ, Harwood T, Moslonka-Lefebvre M & Pellis L (2010) Disease spread in small-size
directed trade networks: the role of hierarchical categories. Journal of Applied Ecology 47: 1300-1309
Xu XM, Harwood TD, Pautasso M & Jeger MJ (2009) Spatio-temporal analysis of an invasive plant pathogen
(Phytophthora ramorum) in England and Wales. Ecography 32: 504-516

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The use of networks in the study of climate-related vulnerabilities

  • 1. The use of networks in the study of climate-related vulnerabilities Marco Pautasso, Division of Biology, Imperial College London, Silwood Park PIK Potsdam, 2 August 2010
  • 2. Research y Empirical Biodiversity x Disease z Theoretical Review
  • 3. Research interests - 1. Macroecology abundance (individuals) (c) Log10 assemblage Log10 plot area (km2) Log10 plot area (km2) Survey year (a), (b) & (c) from: Pautasso & Gaston (2006) Global Ecology & Biogeography; (d) from: Pautasso & Gaston (2005) Ecology Letters
  • 4. Research interests - 2. Landscape pathology Picture: D. Rizzo, UC Davis Pautasso et al. (2010) Biological Reviews
  • 5. Research interests - 3. Network epidemiology NATURAL Network pictures from: Newman (2003) SIAM Review food webs cell metabolism neural Food web of Little Rock networks Lake, Wisconsin, US ant nests sexual partnerships DISEASE SPREAD family innovation networks Internet flows co-authorship HIV structure railway urban road nets spread electrical networks networks network power grids telephone calls WWW computing airport Internet E-mail committees grids networks software maps patterns TECHNOLOGICAL SOCIAL Modified from: Jeger et al. (2007) New Phytologist
  • 6. Current research – 1. epidemic modelling in small-size directed networks N replicates = 100; error bars are St. Dev.; different letters show sign. different means at p < 0.05 from: Moslonka-Lefebvre et al. (2009) Journal of Theoretical Biology
  • 7. Current research - 2. fire blight epidemic development in Switzerland 2003-07 1995 1999 2003 2007 From: Eidgenössisches Volkswirtschaftsdepartement, Swiss Confederation
  • 8. Current research – 3. biogeography of the (a) living collections of the world’s botanical gardens (c) (c) log10 spp richness (n) (d) (yr) (b) Size of countries reflects n of botanic gardens (d) b from: http://www.worldmapper.org/ a, c & d: from: Pautasso & Parmentier (2007) Botanica Helvetica
  • 9. Acknowledgements Ingrid Parmentier, Peter Weisberg, Univ. of Brussels, Univ. of Nevada, Belgium Reno, USA Mike Jeger, Ottmar Mike Shaw, Imperial College, Univ. of Holdenrieder, Silwood ETHZ, CH Reading Kevin Gaston, Mike Univ. of McKinney, Sheffield Joan Webber, Univ. of Forest Research Mathieu Tennessee, Moslonka-Lefebvre, USA Agro-Paris Tech, France
  • 10. US counties with (•) or without (o) Universities and/or Botanical Gardens • N = 692, r2 = 0.13, y = 2.15 (SE = 0.08) + 0.15 (SE = 0.01) x, p < 0.0001 o N = 2187, r2 = 0.10, y = 2.18 (SE = 0.05) + 0.15 (SE = 0.01) x, p < 0.0001 from: Pautasso & McKinney (2007) Conservation Biology
  • 11. European trade flows in ornamental plants (2004) Dehnen-Schmutz et al. (2010) Scientia Horticulturae
  • 12. Simple model of infection spread (e.g. P. ramorum) in a network pt probability of infection transmission pp probability of infection persistence node 1 2 3 4 5 6 7 8 … 100 step 1 step 2 step 3 … step n from: Moslonka-Lefebvre et al. (in review) Phytopathology
  • 13. Lower epidemic threshold for scale-free networks with positive correlation between in- and out-degree 1.00 local probability of persistence random 0.75 small-world scale-free (two-way) scale-free (uncorrelated) 0.50 scale-free (one way) 0.25 0.00 0.00 0.25 0.50 0.75 1.00 Epidemic probability of transmission does not develop Epidemic develops modified from: Pautasso & Jeger (2008) Ecological Complexity
  • 14. Living collections of the world’s botanic gardens (2) from: Golding et al. (2010) Annals of Botany
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