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The theory and use of two fire history models
Abstract
The objective of this paper is to explain the distributions, assumptions, interpretations, and relationships of the two compatible, stochastic models of fire history: the negative exponential and the Weibull. For each model the "fire interval" and "time-sinee-fire" distributions are given. Both models apply to homogenous stationary stochastic processes. The negative exponential states that the instantaneous fire hazard rate is constant for all stand ages. The Weibull states that the instantaneous fire hazard rate increases with stand age when the shape parameter is > 1 (the negative exponential is a special ease of the Weibull when shape = 1). An empirical method is given for separating from an observed fire history distribution, the pre- and post-fire suppression distributions. Four relationships are derived from the models and defined per study region (per stand): (i) the fire cycle (average fire interval), (ii) the annual percent burned area (fire frequency), (iii) the average age of the vegetation (average prospective life-time), and (iv) the renewal rate.
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Citations
Cited by
Johnson, E. A., & Gutsell, S. L. (1994) · Advances in Ecological Research · doi:10.1016/s0065-2504(08)60216-0 · Cited by 414
Self-citationThe fire frequency‐severity relationship and the legacy of fire suppression in California forests
Steel, Z. L., Safford, H. D., & Viers, J. H. (2015) · Ecosphere · doi:10.1890/es14-00224.1 · Cited by 339
Bergeron, Y., Harvey, B., Leduc, A., & Gauthier, S. (1999) · The Forestry Chronicle · doi:10.5558/tfc75049-1 · Cited by 300
Ecological foundations for fire management in North American forest and shrubland ecosystems
Keeley, J. E., Aplet, G. H., Christensen, N. L., Conard, S. G., Johnson, E. A., Omi, P. N., Peterson, D. L., & Swetnam, T. W. (2009) · doi:10.2737/pnw-gtr-779 · Cited by 101
Self-citationThe amplifying effects of humans on fire regimes in temperate rainforests in western Patagonia
Holz, A., & Veblen, T. T. (2011) · Palaeogeography, Palaeoclimatology, Palaeoecology · doi:10.1016/j.palaeo.2011.08.008 · Cited by 55
Metadata
- Authors
- Johnson, E. A., & Wagner, C. E. V.
- Venue
- Canadian Journal of Forest Research
- Publisher
- Canadian Science Publishing
- Published
- 1985-02-01
- Volume
- 15
- Issue
- 1
- Pages
- 214-220
- ISSN
- 0045-5067 (ISSN-L)
- 1208-6037
- OpenAlex
- W2031983852
- Cited by
- 230
- References
- 0
- FWCI
- 2.43
- Type
- journal article
- Language
- en
- Open access
- closed
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- Johnson, E. A., & Wagner, C. E. V. (1985). The theory and use of two fire history models. Canadian Journal of Forest Research. https://doi.org/10.1139/x85-039
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
