  We turn the stochastic critical forest-fire model introduced by Drossel and
Schwabl (PRL 69, 1629, 1992) into a deterministic threshold model. This new
model has many features in common with sandpile and earthquake models of
Self-Organized Criticality. Nevertheless our deterministic forest-fire model
exhibits in detail the same macroscopic statistical properties as the original
Drossel and Schwabl model. We use the deterministic model and a related
semi-deterministic version of the model to elaborate on the relation between
forest-fire, sandpile and earthquake models.
