Description of the interdisciplinary studies combining phylodynamics and mathematical modelling or integrating epidemiological and genetic data.

Supplementary Table 4 is also available in Excel format here.

Phylodynamics category Model description Software Genetic sequences Sequence length (pb) Data source Parameters inferred Model category Original model reference Spatially explicit Inference method Dog population structure Quantitative results Outcome in sensitivity analysis Key parameters in sensitivity analysis Optimal control strategy Reference
Bayesian discrete phylogeography Asymmetric DTA + BSSVS BEAST 1 N, P, intergenic G-L (n = 250) 3080 Passive Markov jumps, migration rates, reward-associated distances, spread-associated landscape features, tMRCA Spatial spread along phylogenetic trees YES Simulation Spatial distribution of cases NA Talbi et al., 2010
Bayesian phylodynamics Exponential growth coalescent BEAST 1 intergenic G-L (n = 176) 760 Passive tMRCA Directed Acyclic Graph Morelli et al., 2012 YES MCMC Distance between direct and indirect cases, number of cases, incubation period, infectious period, strength of exogeneous and individual sources, NA Mollentze et al., 2014
Bayesian discrete phylogeography Symmetric DTA + BSSVS BEAST 1 G, P (n = 39) 2463 Passive Migration rates, tMRCA Deterministic compartmental Hampson et al., 2007
Kitala et al., 2002
Panjeti and Real, 2011
NO Simulation Time to detection Time to detection Reporting rate NA Tohma et al., 2016
Bayesian continuous phylogeography Relaxed random walk (lognormal prior) BEAST 1 N, P, M, G, intergenic G-L (n = 88) 5061 Passive Nucleotide substitution rate, number of introductions, tMRCA, velocity Re NO particle MCMC Number and rate of introductions, outbreak periodicity, Re Temporal variation of Re Robust to detection probability NA Bourhy et al., 2016
Bayesian phylodynamics Birth-Death BEAST 2 N (n = 29) 1350 Passive Re Deterministic compartmental
Stochastic compartmental
Zinsstag et al., 2009 NO Least-square fitting Vaccination rate,
dog-to-dog transmission rate,
dog-to-human transmission rate, R0
Rabies dynamics Robust to detection probability NA Zinsstag et al., 2017
N, P, M, G, intergenic G-L (n = 151) 5061 Passive Graph model YES Graph pruning and intersection R, rate of importation, rate of unobserved importation Clusters and R Reporting rate, graph pruning cutoff NA Cori et al., 2018
Bayesian discrete phylogeography
Bayesian continuous phylogeography
DTAa
GLM on the effective population sizes
Relaxed random walk (lognormal prior)
BEAST 1 N (n = 543)
G (n = 491)
1350
1575
Passive tMRCA, velocity, diffusion coefficients, velocity-associated landscape features Deterministic compartmental Anderson et al., 1981
Hampson et al., 2007
Zinsstag et al., 2009
NO MCMC Carrying capacity, dog- to-dog transmission rate, dog-to-human transmission rate, R0 Rabies dynamics Transmission rates, initial conditions NA Tian et al., 2018
Note:
Abbreviations: BSSVS, Bayesian Stochastic Search Variable Selection; DTA, Discrete Trait Analysis; GLM, Generalized Linear Model; MCMC, Markov Chain Monte Carlo; R0, basic reproduction ratio; Re, effective reproduction ratio; tMRCA, time to the Most Recent Common Ancestor
a Symmetry not indicated