• Bayesian inference;
  • Branching processes;
  • Ecology;
  • Estimating equations;
  • Importance sampling;
  • Matrix population models;
  • Oilseed rape;
  • Population dynamics;
  • State-space models

Summary This article presents some statistical methods for estimating the parameters of a population dynamics model for annual plants. The model takes account of reproduction, immigration, seed survival in a seed bank, and plant growth. The data consist of the number of plants in several developmental stages that were measured in a number of populations for a few consecutive years; they are incomplete since seeds could not be counted. It is assumed that there are no measurement errors or that measurement errors are binomial and not frequent. Some statistical methods are developed within the framework of estimating equations or Bayesian inference. These methods are applied to oilseed rape data.