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Distorted-distance models for directional dispersal: a general framework with application to a wind-dispersed tree
Article first published online: 8 MAY 2012
© 2012 The Authors. Methods in Ecology and Evolution © 2012 British Ecological Society
Methods in Ecology and Evolution
Volume 3, Issue 4, pages 642–652, August 2012
How to Cite
van Putten, B., Visser, M. D., Muller-Landau, H. C. and Jansen, P. A. (2012), Distorted-distance models for directional dispersal: a general framework with application to a wind-dispersed tree. Methods in Ecology and Evolution, 3: 642–652. doi: 10.1111/j.2041-210X.2012.00208.x
- Issue published online: 30 JUL 2012
- Article first published online: 8 MAY 2012
- Received 1 November 2011; accepted 20 March 2012 Handling Editor: Jane Molofsky
Appendix A. Definitions of the Matrushka property, and the 1D and 2D means and quantiles.
Appendix B. Proof that the elliptic distortion model function is well defined, and extensions of the function.
Appendix C. Proof that contour lines in the full elliptic distortion model are non-concentric ellipses and that the elliptic distortion distance fulfils the Matrushka property.
Appendix D. Proof of the form of the two-dimensional dispersal kernel pELL for the elliptic distortion model.
Appendix E. Principles of the inverse modelling procedure, applied to the elliptic distortion model.
Appendix F. Methods for quantifying directional variability in the elliptic distortion model.
Appendix G. Proofs that the anisotropic models incorporating Von Mises distributions presented in Tufto et al. (1997), Wagner et al. (2004) and Staelens et al. (2003) are special cases of our framework.
Appendix R. R-code for maximum-likelihood fitting of anisotropic dispersal kernels, specifically elliptic distorted-distance kernels, through inverse modelling.
Appendix S. R-code for simulating datasets similar to the case study dataset, for fitting these datasets and for calculating fit statistics.
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