Publications

In revision/submitted

  • Caswell, H., de Vries, C., Hartemink, N., Roth, G., van Daalen, S. (in revision) Age×stage-classified demographic analysis: a comprehensive approach, Ecological Monograph.

In preparation

  • Schreiber, S.J., Roth, G.  A trifecta of uncertainty: population growth in the face of spatial heterogeneity, environmental fluctuations, and variable dispersal, in preparation.
  • Deere, J., Van den Berg, I., Roth, G.  The effect of distinct dispersal life-histories in population models, in preparation.
  • Roth, G. Approximation of mixture models with mean models: effect of heterogeneity on demographic variables, in preparation.
  • Roth, G. Persistence for random differential equations: application to interacting structured populations models, in preparation.
  • Faure, M. and Roth*, G. Stochastic approximations, set-valued dynamics and shadowing, in preparation.

Published/Accepted:

  • Roth, G. and Caswell, H. (2018) Occupancy time in sets of states for demographic models, Theoretical Population Biology (in print)
  • Roth, G., Salceanu, P.L. and Schreiber, S.J. (2017), Robust permanence for interacting structured populations, SIAM Journal of Mathematical Analysis, 49:3527-3549. pdf
  • Roth, G. and Caswell, H. (2016), Hyperstate matrix models: extending demographic state spaces to higher dimensions, Methods in Ecology and  Evolution, 7:1438-1450. pdf
  • Roth G, Schreiber S.J. (2014), Pushed beyond the brink: Allee effects, environmental stochasticity, and extinction. Journal of Biological Dynamics, 8:187-205. pdf
  • Roth, G. and Schreiber, S.J. (2013), Persistence in fluctuating environments for interacting structured populations, Journal of Mathematical Biology, 69:1267-1317. pdf
  • Roth*, G. and Sandholm, W.H. (2013), Stochastic approximations with constant step size and differential inclusions, SIAM Journal on Control and Optimization. 51:525-555. pdf.
  • Faure, M. and Roth*, G. (2013), Ergodic properties of weak asymptotic pseudotrajectories for set-valued dynamical systems. Stochastics and  Dynamics, 13:1250011. pdf
  • Faure, M. and Roth*, G. (2010), Stochastic approximations of Set-valued Dynamical systems: convergence with positive probability to an attractor,  Mathematics of Operations research, 35:624-640. pdf.

* the authors are listed in alphabetical order