Numerical recipes for disaster: changing hazard and the stand-origin-map

Daniel Polakow,T. Dunne

Published 2001 in Forest Ecology and Management

ABSTRACT

The quantitative study of predictable temporal characteristics of disturbance phenomena is of tremendous consequence for both an effective understanding of biological process and for successful implementation of sustainable practices. This reliance is well demonstrated in both pure (e.g. biodiversity research) and applied (e.g. forestry sciences) research into patterns of fire-recurrence and its consequent interpretation and management implications. Much of fire-frequency prediction is dependent on the data manifest in a stand-origin-map. In this paper, we review the statistical methods for fire-frequency estimation from a stand-origin-map, where fire-recurrence is governed by an underlying probabilistic process that changes with time since last occurrence (i.e. non-constant hazard). We argue that both patterns of fire-recurrence that change with time are likely to be commonplace biological phenomena and that the conventionally prescribed methods for non-constant hazard fire-recurrence estimation from a stand-origin-map are erroneous. Even modified maximum-likelihood techniques that account for different degrees of data censoring are likely to be severely restrained in their capacity for rigorous estimation. We propose a novel formulation whereby the two-parameter Weibull distribution can be fitted retrospectively to the data in a stand-origin-map. This formulation is explored through an example from the Canadian Rockies.

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