Unlike the above clear-cut examples, the dispersal biology of most spider lineages is unknown, and their biogeographic patterns poorly understood.
For example, in biomathematics, the dispersal rate of some species among different groups changes over time.
For example, the pattern of dispersal for the deep-sea octocoral Paragorgia arborea matches the Miocene ocean circulation model [ 35].
Indeed we can write = WIF/ d (8) where WIF is the inclusive fitness considered in other works (see the dispersal example for a concrete illustration).
Our work represents a rare example in pathogens where the dispersal evaluated by a fine scale IBD pattern appropriately fits with previously reported empirical field data [ 16, 53].
The probability that an individual in the offspring generation is the descendant of anyone of j mutant parents in its patch is then π j = js j (1 - d) (22) and the expected number of successful emigrant gametes of j mutant parents is h j = N djs j. (23) The factor N appears here, as in the dispersal example, because N adults settle in each patch.
For example, through dispersal the descendants may come to occupy a different range than the ancestor, such as in the case of kiwis (Apteryx in Fig. 3c), which are endemic to New Zealand but whose ancestor is inferred to have been present in Australia-New Guinea. Australia-New Guinea
Thus, for example, they found that when the dispersal setting of their fixation duration algorithm was set at below 3° (equivalent to a radius of 1.5°), mean fixation duration when viewing faces was greater than that for viewing color blocks, but that when the dispersal setting was set to above 3°, mean fixation duration for blocks was returned as being greater than that for faces.
Thus, the short-term (one generation) effect of migration, for example the differential patterns of dispersal between sexes, appear to provide the most likely explanation.
Many of those changes are adaptive, but others may result from non-adaptive evolutionary processes: for example, the evolved acceleration in toad dispersal rates may be due to spatial sorting of dispersal-enhancing genes, rather than fitness advantages to faster-dispersing individuals.
