10.6084/m9.figshare.3523124.v1 I. Miklós I. Miklós J. Podani J. Podani Appendix A. Proofs showing the relationship of the trial swap to the Metropolis algorithm and the Hastings ratio. Wiley 2016 presence–absence data swap methods Vanuatu data randomization methods null models data matrices species association Environmental Science Ecology 2016-08-05 00:27:16 Dataset https://wiley.figshare.com/articles/dataset/Appendix_A_Proofs_showing_the_relationship_of_the_trial_swap_to_the_Metropolis_algorithm_and_the_Hastings_ratio_/3523124 Proofs showing the relationship of the trial swap to the Metropolis algorithm and the Hastings ratio.