The fire frequency analysis branch of the pyrostatistics tree: Sampling decisions and censoring in fire interval data

Environmental and Ecological Statistics

Volumn 16, Issue 2, 2009, Pages 271-289

  Moritz, Max A ^a   Moody, Tadashi J ^a   Miles, Lori J ^a   Smith, Matthew M ^a   Valpine, Perry ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Age dependency; Cedar fire; Fire ecology; Hazard function; Spatial analysis; Weibull model

Indexed keywords

CONFERENCE PROCEEDING; ECOLOGICAL MODELING; ECOSYSTEM RESPONSE; ESTIMATION METHOD; FIRE HISTORY; FIRE MANAGEMENT; FREQUENCY ANALYSIS; PARAMETERIZATION; SHRUBLAND; SPATIAL ANALYSIS; SPATIAL DISTRIBUTION; SPATIAL RESOLUTION; TREE RING; WEIBULL THEORY;

CALIFORNIA; NORTH AMERICA; UNITED STATES;

EID: 67349089863     PISSN: 13528505     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10651-007-0088-y     Document Type: Conference Paper

References (49)

1. Allen CD, Savage M, Falk DA, Suckling KF, Swetnam TW, Schulke T, Stacey PB, Morgan P, Hoffman M and Klingel JT (2002). Ecological restoration of southwestern ponderosa pine ecosystems: A broad perspective. Ecol Appl 12:1418-1433
2. Baker WL (1989). Effect of scale and spatial heterogeneity on fire interval distributions. Can J Forest Res 19:700-706
3. Baker WL and Ehle D (2001). Uncertainty in surface-fire history: The case of ponderosa pine forests in the western United States. Can J Forest Res 31:1205-1226
4. Bessie WC and Johnson EA (1995). The relative importance of fuels and weather on fire behavior in subalpine forests. Ecology 76:747-762
5. Bond WJ and van Wilgen BW (1996). Fire and plants. Chapman & Hall, London
6. California Department of Forestry and Fire Protection (CDF) (2004) Mapped fire history database for California; public version and detailed methodology. http://frap.cdf.ca.gov/projects/fire_data/fire_perimeters/. Accessed Dec 2007
7. Chou YH, Minnich RA and Chase RA (1993). Mapping probability of fire occurrence in San Jacinto Mountains, California, USA. Environ Manage 17:129-140
8. Clark JS (1989). Ecological disturbance as a renewal process: Theory and application to fire history. Oikos 56:17-30
9. Clark JS (1990). Fire and climate change during the last 750 years in northwestern Minnesota. Ecol Monogr 72: 1102-1118
10. Cox DR (1962). Renewal theory. Wiley, London
11. Cox DR and Oakes D (1984). Analysis of survival data. Chapman & Hall, London
12. Finney MA (1995). The missing tail and other considerations for the use of fire history models. Int J Wildland Fire 5:197-202
13. Gill AM (1975). Fire and the Australian flora: A review. Aust For 38:4-25
14. Grissino-Mayer HD (2001). FHX2: Software for the analysis of fire history from tree rings. Tree Ring Res 57:113-122
15. Grissino-Mayer HD (1999). Modelling fire interval data from the American Southwest with the Weibull distribution. Int J Wildland Fire 9:37-50
16. Heinselman ML (1981) Fire intensity and frequency as factors in the distribution and structure of northern ecosystems. In: Mooney HA et al. (eds) Proceedings of the conference, fire regimes and ecosystem dynamics, US Forest Service General Technical Report WO-26, pp 7-57
17. Johnson EA (1979). Fire recurrence in the subarctic and its implications for vegetation composition. Can J Botany 57:1374-1379
18. Johnson EA (1992). Fire and vegetation dynamics: Studies from the North American boreal forest. Cambridge University Press, Cambridge
19. Johnson EA and Gutsell SL (1994). Fire Frequency Models, Methods and Interpretations. Adv Ecol Res 25:239-287
20. Johnson EA and Larsen CPS (1991). Climactically induced change in fire frequency in the southern Canadian Rockies. Ecology 72:194-201
21. Johnson EA and Wagner CE (1985). The theory and use of two fire history models. Can J Forest Res 15:214-219
22. Landres PB, Morgan P and Swanson FJ (1999). Overview of the use of natural variability concepts in managing ecological systems. Ecol Appl 9:1179-1188
23. Lawless JF (2003). Statistical Models and Methods for Lifetime Data. Wiley, Hoboken
24. Martin RE, Sapsis DB (1992) Fires as agents of biodiversity: Pyrodiversity promotes biodiversity. In: Proceedings of the Symposium on Biodiversity of Northern California, Univ. California, Berkeley, pp 150-157
25. McCarthy MA, Gill AM and Bradstock RA (2001). Theoretical fire-interval distributions. Int J Wildland Fire 10:73-77
26. Morgan P, Hardy CC, Swetnam TW, Rollins MG and Long DG (2001). Mapping fire regimes across space and time: Understanding coarse and fine-scale patterns. Int J Wildland Fire 10:329-342
27. Moritz MA (2003). Spatiotemporal analysis of controls on shrubland fire regimes: Age dependency and fire hazard. 2003. Ecology 84: 351-361
28. Moritz MA, Keeley JE, Johnson EA and Schaffner AA (2004). Testing a basic assumption of shrubland fire management: How important is fuel age?. Front Ecol Environ 2:67-72
29. Moritz MA, Morais ME, Summerell LA, Carlson JM, Doyle J (2005) Wildfires, complexity and highly optimized tolerance. In: Proceedings of the national academy of sciences USA, vol 102, pp 17912-17917
30. Murthy DNP, Xie M and Jiang R (2004). Weibull Models. Wiley, Hoboken
31. Odion DC, Strittholt JR, Jiang H, Frost EJ, DellaSala DA, Moritz MA (2004) Patterns of fire severity and forest conditions in the Klamath Mountains, Northwestern California, USA. Conserv Biol 18:927-936
32. Pielou EC (1977). Mathematical Ecology. Wiley, New York
33. Polakow DA and Dunne TT (1999). Modelling fire-return interval T: stochasticity and censoring in the two-parameter Weibull model. Ecol Model 121:79-102
34. Polakow DA and Dunne TT (2001). Numerical recipes for disaster: Changing hazard and the stand-origin-map. Forest Ecol Manage 147:183-196
35. Polakow D, Bond W, Lindenberg N, Dunne T (1999) Ecosystem engineering as a consequence of natural selection: Methods for testing Mutch's hypothesis from a comparative study of fire hazard rates. In: Proceedings of Australian bushfire conference. http://www.csu.edu.au/ special/bushfire99/papers/polakow/. Accessed Dec 2007
36. Preisler HK, Brillinger DR, Burgan RE and Benoit JW (2004). Probability-based models for estimation of wildire risk. Int J Wildland Fire 13:133-142
37. Reed WJ (2001) Statistical inference for historical fire frequency using the spatial mosaic. In: Johnson EA, Miyanishi K (eds) Forest fires: behavior and ecological effects. Academic Press, San Diego
38. Reed WJ and Johnson EA (2004). Statistical methods for estimating historical fire frequency from multiple fire-scar data. Can J Forest Res 34:2306-2313
39. Reed WJ, Larsen CPS, Johnson EA and MacDonald GM (1998). Estimation of temporal variations in historical fire frequency from time-since-fire map data. Forest Sci 44:465-475
40. Romme W (1980) Fire history terminology: Report of the ad hoc committee. In Stokes MA, Dieterich JH (eds) Proceedings of the fire history workshop. US Forest Service General Technical Report RM-81, pp 135-137
41. Smith PJ (2002). Analysis of failure and survival data. Chapman & Hall/CRC Press, Boca Raton
42. Schoenberg FP, Peng R, Huang Z and Rundel P (2003). Detection of non-linearities in the dependence of burn area on fuel age and climatic variables. Int J Wildland Fire 12:1-6
43. Schoennagel T, Veblen TT and Romme WH (2004). The interaction of fire, fuels, and climate across rocky mountain forests. Bioscience 54:661-676
44. Schroeder MJ et al. (1964) Synoptic weather types associated with critical fire weather. A.D. 449-630. US Department of Commerce, National Bureau of Standards, Institute for Applied Technology, Washington D.C., USA
45. Turner MG (1989). Landscape Ecology: The Effect of Pattern on Process. Annu Rev Ecol Syst 20:171-197
46. Turner MG, Romme WH, Gardner RH, O'Neill RV and Kratz TK (1993). A revised concept of landscape equilibrium: Disturbance and stability on scaled landscapes. Landsc Ecol 8:213-227
47. Wagner CE (1978). Age-class distribution and the forest fire cycle. Can J Forest Res 8:220-227
48. Yarie J (1981). Forest fire cycles and life tables: A case study from interior Alaska. Can J Forest Res 11:554-562
49. Wagner HH and Fortin MJ (2005). Spatial analysis of landscapes: Concepts and statistics. Ecology 86:1975-1987