1. Adding Phylogeny to GIS-enabled Species Range and Distribution Analyses Jeffery Cavner, J.H. Beach, Aimee Stewart, CJ Grady jcavner@ku.edu, beach@ku.edu,astewart@ku.edu, cjgrady@ku.edu Biodiversity Institute Natural History Museum University of Kansas

2. .. Presence Absence Matrix (PAM) Sites Species Lifemapper Range and Diversity (LmRAD)

3. Not just current PAMs but also future PAMs. PAMs can be built using species range predictions based on climate scenarios Species Richness calculated from PAMs for Brassicaceae for three climate scenarios

4. Not just ranges and richness Most existing indexes of biodiversity patterns can be calculated as combinations of vectors from the PAM

5. PAM, site i, species j Matrix of shared species in sites, NxN, where N are sites Matrix of co-occurrence of usage of sites by species, SxS, where S are species Species richness vector Range size of each species Using these simple relations we can obtain two other vectors. 1. The total sum of shared range sizes or Dispersion Field 2. The total number of shared community compositions or Diversity Field Diversity of sites and ranges of species are linked by a correlation between species diversity of sites and the mean range size of species occurring there; and by correlating the range size of species and the mean species diversity within those ranges. These relationships can be illustrated in range-diversity plots where the dispersion of points are defined by the degree of association among species, and the similarity of sites. Just Four Vectors

6. Madagascar Equatorial Sudanian Savanna Mediterranean- Sahara North → South Sites Plot Similarity of Sites Mean Proportional Range Size Proportional Species Diversity

7. Spatially Linked Data Spaces

8. Proportional Range Size Mean Proportional Species Diversity The average covariance of a species or its average association with all species determines the tendency for species to co-occur Species Association Plot

9. Phylogeny Linked Data Spaces in a GIS

10. Mean pair-wise distance between all species in a community Mean distance to nearest taxon for each species in the community Phylogenetic Diversity P(D) Phylogenetic Distances D E F Community

11. Jeffery Cavner, J.H. Beach, Aimee Stewart, CJ Grady jcavner@ku.edu, beach@ku.edu, astewart@ku.edu, cjgrady@ku.edu Biodiversity Institute University of Kansas