Shapes of ballistic seed dispersal distributions: a comparison of Oxalis corniculata with a theoretical model.

Rezvani M, Cousens RD, Zaefarian F, Karimmojeni H & Robinson AP (2010). Shapes of ballistic seed dispersal distributions: a comparison of Oxalis corniculata with a theoretical model. Weed Research 50, 631–637. Summary A previously published ballistic dispersal model, based on fluid dynamics and a point source, predicts that the probability of dispersing a given distance has maxima close to the origin and at the greatest dispersal distance. We show that in plants of two taxa of Oxalis corniculata, the maximum probability of dispersal is very close to the parent, with a very minor secondary peak at intermediate distances. Using generalised additive mixed-effects modelling, we show that seed mass increases with distance from the parent and that distances dispersed by the two taxa differed. We conclude that although prediction from physical first principles is a justifiable goal, the complexity of plants as seed sources and in-flight obstacles means that predictions from very simple models may only rarely mimic reality. Until more realistic models for ballistic dispersal are developed, considerable care should be taken in the selection of dispersal functions in population models. Wherever possible, model structure should be supported by the collection of empirical data.

[1]  M. D. Swaine,et al.  EXPLOSIVE SEED DISPERSAL IN HURA CREPITANS L. (EUPHORBIACEAE) , 1977 .

[2]  E. J. Trapp Dispersal of heteromorphic seeds in Amphicarpaea bracteata (Fabaceae) , 1988 .

[3]  Martin Mortimer,et al.  Dynamics of weed populations , 1995 .

[4]  Roger D. Cousens,et al.  A mathematical analysis of factors affecting the rate of spread of patches of annual weeds in an arable field , 2000 .

[5]  Ran Nathan,et al.  Spatial patterns of seed dispersal, their determinants and consequences for recruitment. , 2000, Trends in ecology & evolution.

[6]  Ballistic seed projection in two herbaceous species. , 2000, American journal of botany.

[7]  S. Wood Generalized Additive Models: An Introduction with R , 2006 .

[8]  U. Dieckmann,et al.  POPULATION GROWTH IN SPACE AND TIME: SPATIAL LOGISTIC EQUATIONS , 2003 .

[9]  D. Greene,et al.  The effect of collisions with vegetation elements on the dispersal of winged and plumed seeds , 2008 .

[10]  P. Driessche,et al.  Dispersal data and the spread of invading organisms. , 1996 .

[11]  Mark Kot,et al.  Dispersal and Pattern Formation in a Discrete-Time Predator-Prey Model , 1995 .

[12]  Ran Nathan,et al.  Plant fecundity and seed dispersal in spatially heterogeneous environments: models, mechanisms and estimation , 2008 .

[13]  D. Bates,et al.  Mixed-Effects Models in S and S-PLUS , 2001 .

[14]  C. Augspurger,et al.  Intraspecific variation in seed dispersion of Lepidium campestre (Brassicaceae) , 1996 .

[15]  J. Malo Potential ballistic dispersal of Cytisus scoparius (Fabaceae) seeds , 2004 .

[16]  K. Schulgasser,et al.  THE MECHANICS OF SEED EXPULSION IN ACANTHACEAE , 1995 .

[17]  A. Beattie,et al.  Seed dispersal in Viola (Violaceae): adaptations and strategies , 1975 .

[18]  F. G. Hawksworth,et al.  Seed Dispersal Velocity in Four Dwarfmistletoes , 1965, Science.

[19]  Roger Cousen Dispersal in Plants: A Population Perspective , 2008 .

[20]  R. Law,et al.  Heteromyopia and the spatial coexistence of similar competitors , 2002 .

[21]  A A Rawlinson,et al.  When will plant morphology affect the shape of a seed dispersal "kernel"? , 2001, Journal of theoretical biology.

[22]  H. Berg Differential seed dispersal in Oxalis acetosella,a cleistogamous perennial herb , 2000 .

[23]  R. Law,et al.  Dispersal in Plants , 2008 .

[24]  N. Stamp,et al.  Ecological correlates of explosive seed dispersal , 1983, Oecologia.

[25]  T. Beer,et al.  ON THE THEORY OF EXPLOSIVELY DISPERSED SEEDS , 1977 .

[26]  F. G. Hawksworth,et al.  Seed Discharge in Arceuthobium: A Photographic Study , 1963, Science.