Seed circulation networks in  agrobiodiversity conservation:concepts, methods and challenges        Marco Pautasso (CEFE, ...
Some recent applications of network theoryNetwork pictures from:           NATURALNewman (2003)SIAM Review                ...
Network analysis of barley seed flows in Ethiopia                                                                      Res...
Network analysis of barley seed flows in Ethiopia     N nodes = 186, N links = 210                                        ...
Network structure and correlation between links in and out                                                 one-way        ...
Simple model of spread and establishment in a network   SIS deterministic model, 100 Nodes, fixed structure, absence/prese...
Lower invasion threshold for scale-free networks with              positive correlation between in- and out-degree        ...
Network analysis of barley seed flows in Ethiopia              100              10                                        ...
Network analysis of barley seed flows in Ethiopia                           4                                         6   ...
Network simulation of barley seed flows in Ethiopia                                                                       ...
Network analysis of barley seed flows in Ethiopia               modified from: Abay et al. (2011)
NETSEED-CESAB    Seed exchange networks & agrobiodiversity            An interdisciplinary approach to study             t...
Documenting/understanding/protecting               agrobiodiversityfrom: Oliveira et al. (2012) Tetraploid wheat landraces...
100                                       100                                            75                               ...
2.0                                                      3.0                                           1.5                ...
Correlation of invasion final size with out-degree of       starting node increases with network connectivityfrom: Pautass...
Seed circulation networks in agrobiodiversity conservation: concepts, methods and challenges
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Seed circulation networks in agrobiodiversity conservation: concepts, methods and challenges

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Network analysis of barley seed flows in Ethiopia,

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Seed circulation networks in agrobiodiversity conservation: concepts, methods and challenges

  1. 1. Seed circulation networks in agrobiodiversity conservation:concepts, methods and challenges Marco Pautasso (CEFE, CNRS, Montpellier, France) marpauta at gmail.com ICE2012, S28, 24 May 2012
  2. 2. Some recent applications of network theoryNetwork pictures from: NATURALNewman (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 networksInternet flows co-authorship HIVstructure railway urban road nets spread electrical networks networks network power grids telephone calls WWW computing airport Internet E-mail committees grids networks software maps patternsTECHNOLOGICAL SOCIALMoslonka-Lefebvre et al. (2011) Phytopathology
  3. 3. Network analysis of barley seed flows in Ethiopia Research questions: Is the network 1) homogeneous? 2) symmetric? 3) a giant component? Abay et al. (2011) Plant Genetic Resources – Characterization and Utilization
  4. 4. Network analysis of barley seed flows in Ethiopia N nodes = 186, N links = 210 data from: Abay et al. (2011) node ID links in links out 218 1 0 314 0 1 135 2 1 120 1 1 … 100 6 number of incoming links incomingnumber of nodes 80 5 links 4 60 outgoing links 3 40 2 20 1 0 0 0 2 4 6 8 1 2 3 4 5 6 number of links number of outgoing links
  5. 5. Network structure and correlation between links in and out one-way random uncorrelated local scale-free two-ways small-world modified from: Keeling & Eames (2005) Interface
  6. 6. Simple model of spread and establishment in a network SIS deterministic model, 100 Nodes, fixed structure, absence/presence continuum P [i (x, t)] = Σ { pp * P [i (x, t-1)] + pt * P [i (y, t-1)]} node 1 2 3 4 5 6 7 8 … 100 step 1 pp probability of pt probability of persistence transmission step 2 step 3 … step nMoslonka-Lefebvre et al. (2011) Phytopathology
  7. 7. Lower invasion threshold for scale-free networks with positive correlation between in- and out-degree 1.00 localprobability of persistence random 0.75 small-world INVASION 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 NO INVASION probability of transmission from: Moslonka-Lefebvre et al. (2011) Phytopathology
  8. 8. Network analysis of barley seed flows in Ethiopia 100 10 100 12 80 Buket 10 80 8 Bolenta Mugulat Buket Aynalem Bolenta Mugulat Melfa number of nodes number of nodes number of nodes Habes 8 Aynalem Melfanumber of nodes Adinefas 60 6 Adinefas Habes 60 Habes Adinefas Melfa Adinefas Habes Aynalem 6 Melfa Aynalem Mugulat Bolenta 40 4 Buket bridges 40 Mugulat Bolenta Buket bridges 4 20 20 2 2 0 0 00 1 2 3 4 5 6 1 2 3 4 5 6 1 number of outgoing5links6 2 3 4 1 number of incoming links6 2 3 4 5 number of incoming links number of outgoing links data from: Abay et al. (2011)
  9. 9. Network analysis of barley seed flows in Ethiopia 4 6 4 4 n = 11, y = -0.25x + 1.91 n = 14 n = 16 n = 11, y = 0.32x + 1.48 2 R = 0.29, p = 0.09 5 2 R = 0.32, p = 0.07 3 3 3 4 2 3 2 2 2number of incoming links 1 1 1 1 0 0 0 0 0 1 2 3 4 0 2 4 6 8 0 2 4 6 0 1 2 3 4 5 3 4 4 4 n = 92, y = -0.37x + 0.80 n=9 n = 19 n = 14, y = 0.32x + 1.33 2 2 R = 0.20, p < 0.01 R = 0.21, p = 0.10 3 3 3 2 2 2 2 1 1 1 1 0 0 0 0 0 1 2 3 4 0 1 2 3 4 0 1 2 3 4 0 2 4 6 number of outgoing links data from: Abay et al. (2011)
  10. 10. Network simulation of barley seed flows in Ethiopia 40 Number of nodes reached 30 20 10 0 0 50 100 150 200 Starting node 40 9 30 2 Number of nodes reached R = 0.19sum p of invasion across all nodes 8 n nodes with p invasion >= 0.01 25 30 7 6 20 5 20 15 4 3 10 10 2 5 1 0 0 0 0 1 2 3 4 5 6 Number of links from the starting node 1 4 7 31 10 13 16 19 22 25 28 34 37 40 43 46 iteration
  11. 11. Network analysis of barley seed flows in Ethiopia modified from: Abay et al. (2011)
  12. 12. NETSEED-CESAB Seed exchange networks & agrobiodiversity An interdisciplinary approach to study the role of seed exchange networks in preserving crop biodiversity NETSEED FRB-CESAB
  13. 13. Documenting/understanding/protecting agrobiodiversityfrom: Oliveira et al. (2012) Tetraploid wheat landraces in the Mediterranean basin: taxonomy, evolution and genetic diversity. PLoS One
  14. 14. 100 100 75 (local) 75 (sw)(N of nodes with invasion status > 0.01) 50 50 25 25 0 0 0 25 50 75 100 0 25 50 75 100 final size of invasion 100 100 (rand) 75 75 (sf2) 50 50 25 25 0 0 0 25 50 75 100 0 25 50 75 100 100 100 75 (sf0) 75 (sf1) 50 50 25 25 0 0 0 25 50 75 100 0 25 50 75 100 starting node of the invasion
  15. 15. 2.0 3.0 1.5 local 2.5 swacross all nodes (+0.01 for sf networks) 2.0sum at equilibrium of invasion status 1.0 1.5 1.0 0.5 0.5 0.0 0.0 0 1 2 3 4 5 6 0 2 4 6 8 3.0 1.0 2.5 rand sf2 (log-log) 2.0 1.5 0.0 1.0 0.5 0.0 -1.0 -1 0 1 2 3 0 2 4 6 8 10 12 2.0 2.0 1.5 sf0 (log-log) 1.5 sf1 (log-log) 1.0 1.0 0.5 0.5 0.0 0.0 -0.5 -0.5 -1.0 -1.0 0.0 0.5 1.0 1.5 2.0 0.0 0.2 0.4 0.6 0.8 1.0 n of links from starting node n of links from starting node
  16. 16. Correlation of invasion final size with out-degree of starting node increases with network connectivityfrom: Pautassoet al. (2010)Ecological N replicates = 100; error bars are St. Dev.;Complexity different letters show sign. different means at p < 0.05

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