Corpus ID: 16896700

A marked renewal process model for the size of a honey bee colony

  title={A marked renewal process model for the size of a honey bee colony},
  author={Aihua Xia and Richard M. Huggins and Martine Jayne Barons and Louis Guillot},
  journal={arXiv: Statistics Theory},
Many areas of agriculture rely on honey bees to provide pollination services and any decline in honey bee numbers can impact on global food security. In order to understand the dynamics of honey bee colonies we present a discrete time marked renewal process model for the size of a colony. We demonstrate that under mild conditions this attains a stationary distribution that depends on the distribution of the numbers of eggs per batch, the probability an egg hatches and the distributions of the… Expand

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