Exploring spatially varying relationships between forest fire and environmental factors at different quantile levels
Qianqian Cao A , Lianjun Zhang A , Zhangwen Su B C , Guangyu Wang D and Futao Guo C EA Department of Forest and Natural Resources Management, College of Environmental Science and Forestry, State University of New York (SUNY-ESF), Syracuse, NY 13210, USA.
B College of Forestry, Northeast Forestry University, Harbin, Heilongjiang, 150040, P.R. China.
C College of Forestry, Fujian Agriculture and Forestry University, Fuzhou, Fujian, 350002, P.R. China.
D Asia Forest Research Centre, Faculty of Forestry, University of British Columbia, Vancouver, BC V6T 1Z4, Canada.
E Corresponding author. Email: guofutao@126.com
International Journal of Wildland Fire 29(6) 486-498 https://doi.org/10.1071/WF19010
Submitted: 26 January 2019 Accepted: 20 January 2020 Published: 13 February 2020
Abstract
The effect of driving factors on forest fire occurrence at various risk levels beyond average fire risk is of great interest to forest fire managers in practice. Using forest fire occurrence data collected in Fujian province, China, global quantile regression (QR) and geographically weighted quantile regression (GWQR) were applied to investigate the spatially varying relationships between forest fire and environmental factors at different quantiles (e.g. 0.50, 0.75, 0.90 and 0.99) of fire occurrence. These results indicated that: (1) at each quantile, the regression coefficients of both global QR and GWQR were negative for elevation, slope and Normalised Difference Vegetation Index, and positive for settlement density, national road density and grass cover; (2) low number of pixels with high fire occurrence in space might dramatically affect the analysis and modelling of the relationship between fire occurrence and a specific environmental factor; (3) according to GWQR, the relationships between forest fire and environmental factors significantly varied across the study area at different quantiles of fire occurrence; and (4) the GWQR models performed better in model fitting and prediction than the QR models at all quantiles. Therefore, the GWQR models could help decision makers to better plan for forest fire management and prevention strategies.
Additional keywords: forest fire count, geographically weighted quantile regression, quantile regression, risk assessment.
References
Bailey TC, Gatrell AC (1995) ‘Interactive spatial data analysis.’ (Routledge: London)Barros AM, Pereira JMC (2014) Wildfire selectivity for land cover type: does size matter? PLoS One 9, e84760
| Wildfire selectivity for land cover type: does size matter?Crossref | GoogleScholarGoogle Scholar | 24454747PubMed |
Blanchi R, Jappiot M, Alexandrian D (2002) Forest fire risk assessment and cartography, a methodological approach. In ‘Proceedings of IV International Conference on Forest Fire Research 2002, Wildland Fire Safety Summit’, 18–23 November 2002, Luso, Coimbra, Portugal. (Ed. DX Viegas) (Millpress: Rotterdam, the Netherlands)
Bradshaw LS, Deeming JE, Burgan RE, Cohen JD (1984) The 1978 national fire-danger rating system: technical documentation. US Department of Agriculture, Forest Service, Intermountain Forest and Range Experiment Station, General Technical Report INT-169. (Ogden, UT)
Brillinger DR, Preisler HK, Benoit JW (2003) Risk assessment: a forest fire example. In ‘Science and statistics: a Festschrift for Terry Speed’. (Ed. DR Goldstein) pp. 177–196. (Institute of Mathematical Statistics: Beachwood, OH)
Burgan R, Klaver RW, Klaver JM (1998) Fuel models and potential from satellite and surface observations. International Journal of Remote Sensing 8, 159–170.
Cade BS, Noon BR (2003) A gentle introduction to quantile regression for ecologists. Frontiers in Ecology and the Environment 1, 412–420.
| A gentle introduction to quantile regression for ecologists.Crossref | GoogleScholarGoogle Scholar |
Calkin DE, Cohen JD, Finney MA, Thompson MP (2014) How risk management can prevent future wildfire disasters in the wildland–urban interface. Proceedings of the National Academy of Sciences of the United States of America 111, 746–751.
| How risk management can prevent future wildfire disasters in the wildland–urban interface.Crossref | GoogleScholarGoogle Scholar | 24344292PubMed |
Chen C, Wei Y (2005) Computational issues for quantile regression. Sankhya 67, 399–417.
Chen VYJ, Deng WS, Yang T, Matthews SA (2012) Geographically weighted quantile regression (GWQR): an application to U.S. mortality data. Geographical Analysis 44, 134–150.
| Geographically weighted quantile regression (GWQR): an application to U.S. mortality data.Crossref | GoogleScholarGoogle Scholar |
Finney MA, McHugh CW, Grenfell JC, Riley KL, Short KC (2011) A simulation of probabilistic wildfire risk components for the continental United States. Stochastic Environmental Research and Risk Assessment 25, 973–1000.
| A simulation of probabilistic wildfire risk components for the continental United States.Crossref | GoogleScholarGoogle Scholar |
Foody GM (2003) Geographical weighting as a further refinement to regression modeling: an example focused on the NDVI-rainfall relationship. Remote Sensing of Environment 88, 283–293.
| Geographical weighting as a further refinement to regression modeling: an example focused on the NDVI-rainfall relationship.Crossref | GoogleScholarGoogle Scholar |
Fotheringham AS, Charlton ME, Brunsdon C (1998) Geographically weighted regression: a natural evolution of the expansion method for spatial data analysis. Environment & Planning A 30, 1905–1927.
| Geographically weighted regression: a natural evolution of the expansion method for spatial data analysis.Crossref | GoogleScholarGoogle Scholar |
Fotheringham AS, Brunsdon C, Charlton M (2002) ‘Geographically weighted regression.’ (Wiley: New York)
Guo L, Ma Z, Zhang L (2008) Comparison of bandwidth selection in application of geographically weighted regression: a case study. Canadian Journal of Forest Research 38, 2526–2534.
| Comparison of bandwidth selection in application of geographically weighted regression: a case study.Crossref | GoogleScholarGoogle Scholar |
Guo F, Innes LJ, Wang G, Ma X, Sun L, Hu H, Su Z (2015) Historic distribution and driving factors of human-caused fires in the Chinese boreal forest between 1972 and 2005. Journal of Plant Ecology 8, 480–490.
| Historic distribution and driving factors of human-caused fires in the Chinese boreal forest between 1972 and 2005.Crossref | GoogleScholarGoogle Scholar |
Guo F, Wang G, Su Z, Liang H, Wang W, Lin F, Liu A (2016a) What drives forest fire in Fujian, China? Evidence from logistic regression and Random Forests. International Journal of Wildland Fire 25, 505–519.
| What drives forest fire in Fujian, China? Evidence from logistic regression and Random Forests.Crossref | GoogleScholarGoogle Scholar |
Guo F, Selvalakshmi S, Lin F, Wang G, Wang W, Su Z (2016b) Geospatial information on geographical and human factors improved anthropogenic fire occurrence modeling in the Chinese boreal forest. Canadian Journal of Forest Research 46, 582–594.
| Geospatial information on geographical and human factors improved anthropogenic fire occurrence modeling in the Chinese boreal forest.Crossref | GoogleScholarGoogle Scholar |
Guo F, Zhang L, Jin S, Tigabu M, Su Z, Wang W (2016c) Modeling anthropogenic fire occurrence in the boreal forest of China using logistic regression and Random Forest. Forests 7, 250–264.
| Modeling anthropogenic fire occurrence in the boreal forest of China using logistic regression and Random Forest.Crossref | GoogleScholarGoogle Scholar |
Guo F, Su Z, Wang G, Sun L, Tigabu M, Yang X, Hu H (2017) Understanding fire drivers and relative impacts in different Chinese forest ecosystems. The Science of the Total Environment 605–606, 411–425.
| Understanding fire drivers and relative impacts in different Chinese forest ecosystems.Crossref | GoogleScholarGoogle Scholar | 28672230PubMed |
Guo F, Ju Y, Wang G, Alvarado EC, Yang X, Ma Y, Liu A (2018) Inorganic chemical composition of PM2.5 emissions from the combustion of six main tree species in subtropical China. Atmospheric Environment 189, 107–115.
| Inorganic chemical composition of PM2.5 emissions from the combustion of six main tree species in subtropical China.Crossref | GoogleScholarGoogle Scholar |
Huang Q, Zhang H, Chen J, He M (2017) Quantile regression models and their applications: a review. Journal of Biometrics & Biostatistics 8, 354–359.
| Quantile regression models and their applications: a review.Crossref | GoogleScholarGoogle Scholar |
Hutchinson MF (2004) ANUSPLIN Version 4.3. Centre for Resource and Environmental Studies, Australian National University, 23 November 2005. Available at https://fennerschool.anu.edu.au/research/products/anusplin [Verified 3 February 2020]
Koenker R (2005) ‘Quantile regression.’ (Cambridge University Press: Cambridge, UK)
Koenker R, Bassett JRG (1978) Regression quantiles. Econometrica 46, 33–50.
| Regression quantiles.Crossref | GoogleScholarGoogle Scholar |
Koutsias N, Martínez-Fernández J, Allgöwer B (2010) Do factors causing wildfires vary in space? Evidence from geographically weighted regression. GIScience & Remote Sensing 47, 221–240.
| Do factors causing wildfires vary in space? Evidence from geographically weighted regression.Crossref | GoogleScholarGoogle Scholar |
Liu Z, Yang J, Chang Y, Weisberg PJ, He HS (2012) Spatial patterns and drivers of fire occurrence and its future trend under climate change in a boreal forest of northeast China. Global Change Biology 18, 2041–2056.
| Spatial patterns and drivers of fire occurrence and its future trend under climate change in a boreal forest of northeast China.Crossref | GoogleScholarGoogle Scholar |
López AS, San-Miguel-Ayanz J, Burgan R (2002) Integration of satellite sensor data, fuel type maps and meteorological observations for evaluation of forest fire risk at the pan-European scale. International Journal of Remote Sensing 23, 2713–2719.
| Integration of satellite sensor data, fuel type maps and meteorological observations for evaluation of forest fire risk at the pan-European scale.Crossref | GoogleScholarGoogle Scholar |
Mandallaz D, Ye R (1997) Prediction of forest fires with Poisson models. Canadian Journal of Forest Research 27, 1685–1694.
| Prediction of forest fires with Poisson models.Crossref | GoogleScholarGoogle Scholar |
Martínez-Fernández J, Chuvieco E, Koutsias N (2013) Modeling long-term fire occurrence factors in Spain by accounting for local variations with geographically weighted regression. Natural Hazards and Earth System Sciences 13, 311–327.
| Modeling long-term fire occurrence factors in Spain by accounting for local variations with geographically weighted regression.Crossref | GoogleScholarGoogle Scholar |
McKenney DW, Pedlar JH, Papadopol P, Hutchinson MF (2006) The development of 1901–2000 historical monthly climate models for Canada and the United States. Agricultural and Forest Meteorology 138, 69–81.
| The development of 1901–2000 historical monthly climate models for Canada and the United States.Crossref | GoogleScholarGoogle Scholar |
McKenzie D, Peterson DL, Agee JK (2000) Fire frequency in the Interior Columbia Building regional models from fire history data. Ecological Applications 10, 1497–1516.
| Fire frequency in the Interior Columbia Building regional models from fire history data.Crossref | GoogleScholarGoogle Scholar |
Moran PAP (1950) Notes on continuous stochastic phenomena. Biometrika 37, 17–23.
| Notes on continuous stochastic phenomena.Crossref | GoogleScholarGoogle Scholar |
Mueller JM, Loomis JB (2014) Does the estimated impact of wildfires vary with the housing price distribution? A quantile regression approach. Land Use Policy 41, 121–127.
| Does the estimated impact of wildfires vary with the housing price distribution? A quantile regression approach.Crossref | GoogleScholarGoogle Scholar |
Nakaya T, Fotheringham AS, Brunsdon C, Charlton M (2005) Geographically weighted Poisson regression for disease association mapping. Statistics in Medicine 24, 2695–2717.
| Geographically weighted Poisson regression for disease association mapping.Crossref | GoogleScholarGoogle Scholar | 16118814PubMed |
Oliveira S, Oehler F, San-Miguel-Ayanz J, Camia A, Pereira J (2012) Modeling spatial patterns of fire occurrence in Mediterranean Europe using multiple regression and Random Forest. Forest Ecology and Management 275, 117–129.
| Modeling spatial patterns of fire occurrence in Mediterranean Europe using multiple regression and Random Forest.Crossref | GoogleScholarGoogle Scholar |
Oliveira S, Pereira JMC, San-Miguel-Ayanz J, Lourenço L (2014) Exploring the spatial patterns of fire density in southern Europe using geographically weighted regression. Applied Geography (Sevenoaks, England) 51, 143–157.
| Exploring the spatial patterns of fire density in southern Europe using geographically weighted regression.Crossref | GoogleScholarGoogle Scholar |
Preisler HK, Westerling AL (2007) Statistical model for forecasting monthly large wildfire events in western United States. Journal of Applied Meteorology and Climatology 46, 1020–1030.
| Statistical model for forecasting monthly large wildfire events in western United States.Crossref | GoogleScholarGoogle Scholar |
Preisler HK, Brillinger DR, Burgan RE, Benoit JW (2004) Probability based models for estimation of wildfire risk. International Journal of Wildland Fire 13, 133–142.
| Probability based models for estimation of wildfire risk.Crossref | GoogleScholarGoogle Scholar |
Rijal B (2018) Quantile regression: an alternative approach to modeling forest area burned by individual fires. International Journal of Wildland Fire 27, 538–549.
| Quantile regression: an alternative approach to modeling forest area burned by individual fires.Crossref | GoogleScholarGoogle Scholar |
Rodrigues M, de la Riva J, Fotheringham S (2014) Modeling the spatial variation of the explanatory factors of human-caused wildfires in Spain using geographically weighted logistic regression. Applied Geography (Sevenoaks, England) 48, 52–63.
| Modeling the spatial variation of the explanatory factors of human-caused wildfires in Spain using geographically weighted logistic regression.Crossref | GoogleScholarGoogle Scholar |
Rodrigues M, Jiménez-Ruano A, Peña-Angulo D, de la Riva J (2018) A comprehensive spatial–temporal analysis of driving factors of human-caused wildfires in Spain using geographically weighted logistic regression. Journal of Environmental Management 225, 177–192.
| A comprehensive spatial–temporal analysis of driving factors of human-caused wildfires in Spain using geographically weighted logistic regression.Crossref | GoogleScholarGoogle Scholar | 30081279PubMed |
SAS Institute, Inc (2013) ‘STAT 9.4 Users’ Manual.’ (SAS Institute: Cary, NC)
Scott JH, Thompson MP, Calkin DE (2013) A wildfire risk assessment framework for land and resource management. USDA Forest Service, Rocky Mountain Research Station, General Technical Report RMRS-GTR-315. (Fort Collins, CO)
Spessa A, McBeth B, Prentice C (2005) Relationships among fire frequency, rainfall and vegetation patterns in the wet–dry tropics of northern Australia: an analysis based on NOAA-AVHRR data. Global Ecology and Biogeography 14, 439–454.
| Relationships among fire frequency, rainfall and vegetation patterns in the wet–dry tropics of northern Australia: an analysis based on NOAA-AVHRR data.Crossref | GoogleScholarGoogle Scholar |
Su Z, Hu H, Tigabu M, Wang G, Zeng A, Guo F (2019) Geographically weighted negative binomial regression model predicts wildfire occurrence in the Great Xing’an Mountains better than negative binomial model. Forests 10, 377
| Geographically weighted negative binomial regression model predicts wildfire occurrence in the Great Xing’an Mountains better than negative binomial model.Crossref | GoogleScholarGoogle Scholar |
Syphard AD, Radeloff VC, Keeley JE, Hawbaker TJ, Clayton MK, Stewart SI, Hammer RB (2007) Human influence on California fire regimes. Ecological Applications 17, 1388–1402.
| Human influence on California fire regimes.Crossref | GoogleScholarGoogle Scholar | 17708216PubMed |
van Wilgen BW, Biggs HC, O’Regan SP, Mare N (2000) A fire history of the savanna ecosystems in the Kruger National Park, South Africa, between 1941 and 1996. South African Journal of Science 96, 167–178.
Vilar del Hoyo L, Pilar Martín Isabel M, Javier Martínez Vega F (2011) Logistic regression models for human-caused wildfire risk estimation: analysing the effect of the spatial accuracy in fire occurrence data. European Journal of Forest Research 130, 983–996.
| Logistic regression models for human-caused wildfire risk estimation: analysing the effect of the spatial accuracy in fire occurrence data.Crossref | GoogleScholarGoogle Scholar |
Wu Z, He HS, Yang J, Liu Z, Liang Y (2014) Relative effects of climatic and local factors on fire occurrence in boreal forest landscapes of northeastern China. The Science of the Total Environment 493, 472–480.
| Relative effects of climatic and local factors on fire occurrence in boreal forest landscapes of northeastern China.Crossref | GoogleScholarGoogle Scholar | 24960228PubMed |
Wybo JL, Guarnieri F, Richard B (1995) Forest fire danger assessment methods and decision support. Safety Science 20, 61–70.
| Forest fire danger assessment methods and decision support.Crossref | GoogleScholarGoogle Scholar |
Yu K, Lu Z, Stander J (2003) Quantile regression: applications and current research areas. Journal of the Royal Statistical Society. Series A, (Statistics in Society) 52, 331–350.
| Quantile regression: applications and current research areas.Crossref | GoogleScholarGoogle Scholar |
Yu L, Yang Z, Tang L (2018) Quantile estimators with orthogonal pinball loss function. Journal of Forecasting 37, 401–417.
| Quantile estimators with orthogonal pinball loss function.Crossref | GoogleScholarGoogle Scholar |
Zhang L, Bi H, Gove JH, Heath LS (2005) A comparison of alternative methods for estimating the self-thinning boundary line. Canadian Journal of Forest Research 35, 1507–1514.
| A comparison of alternative methods for estimating the self-thinning boundary line.Crossref | GoogleScholarGoogle Scholar |
Zhang X, Kang S, Zhang L, Liu J (2010) Spatial variation of climatology monthly crop reference evapotranspiration and sensitivity coefficients in Shiyang river basin of northwest China. Agricultural Water Management 97, 1506–1516.
| Spatial variation of climatology monthly crop reference evapotranspiration and sensitivity coefficients in Shiyang river basin of northwest China.Crossref | GoogleScholarGoogle Scholar |