1. The distribution of species: Edge length, number of patches and occupancy Fangliang He Department of Renewable Resources University of Alberta

2. Map agreement / thematic classification accuracy Image restoration Interpreting occurrence using external variables Cluster delineation Estimating species abundance

3. 1.Occupancy, p 2.Edge length, L 3.Number of patches, T Three basic landscape metrics

4. Developing models to tie the three metrics together Shedding some light on the question concerning landscape fragmentation, e.g., how much landscape fragmentation is too much? Objectives

5. Probability of black-white join = p(1-p) Edge length-occupancy model (bond percolation model) 1 - p p Total expected # of b-w joins: L = 2Jp (1-p) where J is the total number of neighboring joins. J = 2J x J y -J x -J y, where J x is the number of cells along x axis He & Hubbell, PRL (2003)

6. Bond percolation threshold: p c = 0.5

7. Cluster number-occupancy model (Site percolation model)

8. Inflexion Not a percolation threshold

9. Predictions for random distribution

10. Blue area is Czech Red cells: the distribution of a bird 198 bird distributions in the Czech Republic

11. Bird distributions in the Czech Republic

12. T L How much fragmentation is too much?

13. ? Conclusions Mechanisms Geometries