Skip to main content

Advertisement

Log in

A comparative assessment between linear and quadratic discriminant analyses (LDA-QDA) with frequency ratio and weights-of-evidence models for forest fire susceptibility mapping in China

  • Original Paper
  • Published:
Arabian Journal of Geosciences Aims and scope Submit manuscript

Abstract

Forest fire is known as an important natural hazard in many countries which causes financial damages and human losses; thus, it is necessary to investigate different aspects of this phenomenon. In this study, performance of four models of linear and quadratic discriminant analysis (LDA and QDA), frequency ratio (FR), and weights-of-evidence (WofE) was investigated to model forest fire susceptibility in the Yihuang area, China. For this purpose, firstly, a forest fire locations map was prepared implementing MODIS satellite images and field surveys. Then, it was classified into two groups including training (70%) and validation (30%) by a random algorithm. In addition, 13 forest fire effective factors were prepared and used such as slope degree, slope aspect, altitude, Topographic Wetness Index (TWI), plan curvature, land use, Normalized Difference Vegetation Index (NDVI), annual rainfall, distance from roads and rivers, wind effect, annual temperature, and soil texture. Using the training dataset and effective factors, LDA, QDA, FR, and WofE models were applied and forest fire susceptibility maps were prepared. Finally, area under the curve (AUC) of receiver operating characteristics (ROC) was implemented for investigating the performance of the models. The results depicted that WofE had the best performance (AUC = 82.2%), followed by FR (AUC = 80.9%), QDA (AUC = 78.3%), and LDA (AUC = 78%), respectively. The results of this study showed the high contribution of altitude, slope degree, and temperature. On the other hand, it was seen that slope aspect and soil had the lowest importance in forest fire susceptibility mapping. From the AUC results, it can be concluded that FR, WofE, LDA, and QDA had acceptable performance and could be used for forest fire susceptibility mapping at the regional scale.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  • Adab H, Kanniah KD, Solaimani K (2013) Modeling forest fire risk in the northeast of Iran using remote sensing and GIS techniques. Nat Hazards 65(3):1723–1743

    Article  Google Scholar 

  • Alexander ME (1982) Calculating and interpreting forest fire intensities. Can J Bot 60(4):349–357

    Article  Google Scholar 

  • Amiro B, Stocks B, Alexander M, Flannigan M, Wotton B (2001) Fire, climate change, carbon and fuel management in the Canadian boreal forest. Int J Wildland Fire 10:405–413

    Article  Google Scholar 

  • Anderson HE (1982) Aids to determining fuel models for estimating fire behavior. The Bark Beetles, Fuels, and Fire Bibliography 143

  • Ardakani AS, Zoej MJ, Mohammadzadeh A, Mansourian A (2011) Spatial and temporal analysis of fires detected by MODIS data in Northern Iran from 2001 to 2008. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing 4(1):216–225

    Article  Google Scholar 

  • Aretano R, Semeraro T, Petrosillo I, De Marco A, Pasimeni MR, Zurlini G (2015) Mapping ecological vulnerability to fire for effective conservation management of natural protected areas. Ecol Model 295:163–175

    Article  Google Scholar 

  • Ariapour A, Shariff ARM (2014) Rangeland fire risk zonation using remote sensing and geographical information system technologies in Boroujerd Rangelands, Lorestan Province, Iran. Ecopersia 2(4):805–818

    Google Scholar 

  • Arno SF (1980) Forest fire history in the northern Rockies. J For 78(8):460–465

    Google Scholar 

  • Arpaci A, Malowerschnig B, Sass O, Vacik H (2014) Using multi variate data mining techniques for estimating fire susceptibility of Tyrolean forests. Appl Geogr 53:258–270

    Article  Google Scholar 

  • Artsybashev E (1983) Forest fires and their control. Forest fires and their control (1st ed. in Russian, 1974) AA. Balkema, Rotterdam

  • Ayalew L, Yamagishi H, Ugawa N (2004) Landslide susceptibility mapping using GIS-based weighted linear combination, the case in Tsugawa area of Agano River, Niigata Prefecture, Japan. Landslides 1(1):73–81. doi:10.1007/s10346-003-0006-9

    Article  Google Scholar 

  • Baeza C, Corominas J (2001) Assessment of shallow landslide susceptibility by means of multivariate statistical techniques. Earth Surf Process Landf 26(12):1251–1263

    Article  Google Scholar 

  • Bellman RE (1961) Adaptive control processes: a guided tour. Princeton University Press, Princeton

  • Bonham-Carter GF (1994) Geographic information systems for geoscientists-modeling with GIS. Computer methods in the geoscientists 13:398

    Google Scholar 

  • Brown AA, Davis KP (1973) Forest fire: control and use (McGraw-Hill series in forest resources). Mcgraw-Hill, New York

  • Cao X, Cui X, Yue M, Chen J, Tanikawa H, Ye Y (2013) Evaluation of wildfire propagation susceptibility in grasslands using burned areas and multivariate logistic regression. Int J Remote Sens 34(19):6679–6700

    Article  Google Scholar 

  • Carvalheiro LC, Bernardo SO, Orgaz MDM, Yamazaki Y (2010) Forest fires mapping and monitoring of current and past forest fire activity from Meteosat second generation data. Environ Model Softw 25(12):1909–1914

    Article  Google Scholar 

  • Chung Y-S, Le H (1984) Detection of forest-fire smoke plumes by satellite imagery. Atmos Environ 18(10):2143–2151

    Article  Google Scholar 

  • Chuvieco E, Congalton RG (1989) Application of remote sensing and geographic information systems to forest fir\e hazard mapping. Remote Sens Environ 29(2):147–159

    Article  Google Scholar 

  • Chuvieco E, Salas J (1996) Mapping the spatial distribution of forest fire danger using GIS. Int J Geogr Inf Sci 10(3):333–345

    Article  Google Scholar 

  • Corsini A, Cervi F, Ronchetti F (2009) Weight of evidence and artificial neural networks for potential groundwater spring mapping: an application to the Mt. Modino area (Northern Apennines, Italy). Geomorphology 111(1–2):79–87

    Article  Google Scholar 

  • Dai FC, Lee CF (2001) Frequency–volume relation and prediction of rainfall-induced landslides. Eng Geol 59(3–4):253–266

    Article  Google Scholar 

  • Eker AM, Dikmen M, Cambazoğlu S, Düzgün ŞH, Akgün H (2015) Evaluation and comparison of landslide susceptibility mapping methods: a case study for the Ulus district, Bartın, northern Turkey. Int J Geogr Inf Sci 29(1):132–158

    Article  Google Scholar 

  • Eskandari S, Chuvieco E (2015) Fire danger assessment in Iran based on geospatial information. Int J Appl Earth Obs Geoinf 42:57–64

    Article  Google Scholar 

  • Fawcett T (2006) An introduction to ROC analysis. Pattern Recogn Lett 27:861–874

    Article  Google Scholar 

  • Fisher RA (1936) The use of multiple measurements in taxonomic problems. Ann Eugenics 7(2):179–188

    Article  Google Scholar 

  • Flannigan MD, Haar TV (1986) Forest fire monitoring using NOAA satellite AVHRR. Can J For Res 16(5):975–982

    Article  Google Scholar 

  • Gai C, Weng W, Yuan H (2011) GIS-based forest fire risk assessment and mapping. Fourth International Joint Conference on Computational Sciences and Optimization (CSO), pp 1240–1244. doi:10.1109/cso.2011.140

  • Gao X, Fei X, Xie H (2011) Forest fire risk zone evaluation based on high spatial resolution RS image in Liangyungang Huaguo Mountain Scenic Spot. In: International Conference on Spatial Data Mining and Geographical Knowledge Services (ICSDM), pp 593–596. doi:10.1109/ICSDM.2011.5969116

  • Ghobadi GJ, Gholizadeh B, Dashliburun OM (2012) Forest fire risk zone mapping from geographic information system in northern forests of Iran (case study, Golestan province). International Journal of Agriculture and Crop Sciences 4(12):818–824

    Google Scholar 

  • Hand DJ (2006) Classifier technology and the illusion of progress. Stat Sci 21(1):1–15

    Article  Google Scholar 

  • Immitzer M, Atzberger C, Koukal T (2012) Tree species classification with random forest using very high spatial resolution 8-band WorldView-2 satellite data. Remote Sens 4(9):2661–2693

    Article  Google Scholar 

  • Jaiswal RK, Mukherjee S, Raju KD, Saxena R (2002) Forest fire risk zone mapping from satellite imagery and GIS. Int J Appl Earth Obs Geoinf 4(1):1–10

    Article  Google Scholar 

  • José JPCMC, Tomé A (2006) Forest fire modelling using rule-based fuzzy cognitive maps and voronoi based cellular automata. Annual meeting of the North American Fuzzy Information Processing Society. doi:10.1109/NAFIPS.2006.365411

  • Lee S, Choi J (2004) Application of a weight-of-evidence model to landslide susceptibility analysis. Int J Geogr Inf Sci 18:789–814

    Article  Google Scholar 

  • Masters AM (1990) Changes in forest fire frequency in Kootenay National Park, Canadian Rockies. Can J Bot 68(8):1763–1767

    Article  Google Scholar 

  • McLachlan G (2004) Discriminant analysis and statistical pattern recognition (vol. 544). John Wiley & Sons, New York

  • Moore ID, Grayson RB, Ladson AR (1991) Digital terrain modelling: a review of hydrological, geomorphological, and biological applications. Hydrol Process 5(1):3–30

    Article  Google Scholar 

  • Naghibi SA, Pourghasemi HR, Pourtaghi ZS, Rezaei A (2015) Groundwater qanat potential mapping using frequency ratio and Shannon’s entropy models in the Moghan watershed, Iran. Earth Sci Inf 8(1):171–186

    Article  Google Scholar 

  • Naghibi SA, Pourghasemi HR (2015) A comparative assessment between three machine learning models and their performance comparison by bivariate and multivariate statistical methods in groundwater potential mapping. Water Resour Manag 29(14):5217–5236. doi:10.1007/s11269-015-1114-8

    Article  Google Scholar 

  • Naghibi SA, Pourghasemi HR, Dixon B (2016) GIS-based groundwater potential mapping using boosted regression tree, classification and regression tree, and random forest machine learning models in Iran. Environ Monit Assess 188(1):1–27

    Article  Google Scholar 

  • Naghibi SA, Moradi Dashtpagerdi M (2016) Evaluation of four supervised learning methods for groundwater spring potential mapping in Khalkhal region (Iran) using GIS-based features. Hydrogeol J. doi:10.1007/s10040-016-1466-z

    Google Scholar 

  • Naghibi SA, Pourghasemi HR, Abbaspour K (2017) A comparison between ten advanced and soft computing models for groundwater qanat potential assessment in Iran using R and GIS. Theor Appl Climatol. doi:10.1007/s00704-016-2022-4

    Google Scholar 

  • Negnevitsky M (2002) Artificial intelligence: a guide to intelligent systems. Pearson, Harlow, 394 pp

    Google Scholar 

  • Oh H-J, Kim Y-S, Choi J-K, Park E, Lee S (2011) GIS mapping of regional probabilistic groundwater potential in the area of Pohang City, Korea. J Hydrol 399(3–4):158–172

    Article  Google Scholar 

  • Ozdemir A, Altural T (2013) A comparative study of frequency ratio, weights of evidence and logistic regression methods for landslide susceptibility mapping: Sultan Mountains, SW Turkey. J Asian Earth Sci 64:180–197

    Article  Google Scholar 

  • Porwal A, González-Álvarez I, Markwitz V, McCuaig TC, Mamuse A (2010) Weights-of-evidence and logistic regression modeling of magmatic nickel sulfide prospectivity in the Yilgarn Craton, Western Australia. Ore Geol Rev 38(3):184–196

    Article  Google Scholar 

  • Pourghasemi HR (2016) GIS-based forest fire susceptibility mapping in Iran: a comparison between evidential belief function and binary logistic regression models. Scand J For Res 31(1):80–98

    Article  Google Scholar 

  • Pourtaghi ZS, Pourghasemi HR (2014) GIS-based groundwater spring potential assessment and mapping in the Birjand Township, southern Khorasan Province, Iran. [journal article]. Hydrogeol J 22(3):643–662

    Article  Google Scholar 

  • Pourtaghi ZS, Pourghasemi HR, Aretano R, Semeraro T (2016) Investigation of general indicators influencing on forest fire and its susceptibility modeling using different data mining techniques. Ecol Indic 64:72–84

    Article  Google Scholar 

  • Pourtaghi ZS, Pourghasemi HR, Rossi M (2015) Forest fire susceptibility mapping in the Minudasht forests, Golestan province, Iran. Environmental Earth Sciences 73(4):1515–1533

    Article  Google Scholar 

  • Pradhan B, Suliman MDH, Bin Awang MA (2007) Forest fire susceptibility and risk mapping using remote sensing and geographical information systems (GIS). Disaster Prev Manag 16(3):344–352. doi:10.1108/09653560710758297

    Article  Google Scholar 

  • Prasad VK, Badarinath KVS, Eaturu A (2008) Biophysical and anthropogenic controls of forest fires in the Deccan Plateau, India. J Environ Manag 86(1):1–13

    Article  Google Scholar 

  • Ramos-Cañón AM, Prada-Sarmiento LF, Trujillo-Vela MG, Macías JP, Santos-R AC (2015) Linear discriminant analysis to describe the relationship between rainfall and landslides in Bogotá, Colombia. Landslides:1–11. doi:10.1007/s10346-015-0593-2

  • Randerson JT, Liu H, Flanner MG, Chambers SD, Jin Y, Hess PG et al (2006) The impact of boreal forest fire on climate warming. Science 314(5802):1130–1132

    Article  Google Scholar 

  • Renard Q, Pélissier R, Ramesh B, Kodandapani N (2012) Environmental susceptibility model for predicting forest fire occurrence in the Western Ghats of India. Int J Wildland Fire 21(4):368–379

    Article  Google Scholar 

  • Saklani P (2008) Forest fire risk zonation, a case study Pauri Garhwal, Uttarakhand, India. International institute for geo-information science and earth observation enschede of the Netherlands and Indian Institute of Remote Sensing (NRSA), Dehradun, India, 71 pp, MSc thesis

  • Salvati L, Ferrara A (2015) Validation of MEDALUS fire risk index using forest fires statistics through a multivariate approach. Ecol Indic 48:365–369

    Article  Google Scholar 

  • Seber GA (2009) Multivariate observations (vol. 252). John Wiley & Sons, New York

  • Steorts RC (2014) Linear and quadratic discriminant analysis. Ppt:1–21 http://www.stat.cmu.edu/$~$rsteorts/slides/slides_lecture10.pdf

  • Stocks BJ, Fosberg MA, Wotton MB, Lynham TJ, Ryan KC (2000) Climate change and forest fire activity in North American boreal forests. In: Fire, climate change, and carbon cycling in the boreal forest. Springer-Verlag, New York, pp 368–376

  • Sun T, Zhang L, Chen W, Tang X, Qin Q (2013) Mountains forest fire spread simulator based on geo-cellular automaton combined with Wang Zhengfei velocity model. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing 6(4):1971–1987

    Article  Google Scholar 

  • Sunar F, Özkan C (2001) Forest fire analysis with remote sensing data. Int J Remote Sens 22(12):2265–2277

    Article  Google Scholar 

  • Tien Bui D, Le K-TT, Nguyen VC, Le HD, Revhaug I (2016) Tropical forest fire susceptibility mapping at the Cat Ba National Park Area, Hai Phong City, Vietnam, using GIS-based kernel logistic regression. Remote Sens 8(4). doi:10.3390/rs8040347

  • Turner JA, Lawson BD (1978) Weather in the Canadian forest fire danger rating system. A user guide to national standards and practices. Pacific Forestry Centre, Canada

  • Van Westen C, Rengers N, Soeters R (2003) Use of geomorphological information in indirect landslide susceptibility assessment. Nat Hazards 30(3):399–419

    Article  Google Scholar 

  • Weise DR, Biging GS (1997) A qualitative comparison of fire spread models incorporating wind and slope effects. For Sci 43(2):170–180

    Google Scholar 

  • Zhang H, Han X, Dai S (2013) Fire occurrence probability mapping of Northeast China with binary logistic regression model. IEEE Journal on Selected Topics in Applied Earth Observations and Remote Sensing 6(1):121–127

    Article  Google Scholar 

Download references

Acknowledgments

This research was supported by the National Natural Science Foundation of China (41472202) and General Program of Jiangxi Meteorological Bureau. We also would like to appreciate two anonymous reviewers for their valuable comments on the earlier version of the paper.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Seyed Amir Naghibi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hong, H., Naghibi, S.A., Moradi Dashtpagerdi, M. et al. A comparative assessment between linear and quadratic discriminant analyses (LDA-QDA) with frequency ratio and weights-of-evidence models for forest fire susceptibility mapping in China. Arab J Geosci 10, 167 (2017). https://doi.org/10.1007/s12517-017-2905-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s12517-017-2905-4

Keywords

Navigation