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<front>
<journal-meta>
<journal-id journal-id-type="publisher">NHESS</journal-id>
<journal-title-group>
<journal-title>Natural Hazards and Earth System Sciences</journal-title>
<abbrev-journal-title abbrev-type="publisher">NHESS</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Nat. Hazards Earth Syst. Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1684-9981</issn>
<publisher><publisher-name>Copernicus Publications</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.5194/nhess-13-311-2013</article-id>
<title-group>
<article-title>Modelling long-term fire occurrence factors in Spain by accounting for local variations with geographically weighted regression</article-title>
</title-group>
<contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Martínez-Fernández</surname>
<given-names>J.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Chuvieco</surname>
<given-names>E.</given-names>
<ext-link>https://orcid.org/0000-0001-5618-4759</ext-link>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Koutsias</surname>
<given-names>N.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
</contrib-group><aff id="aff1">
<label>1</label>
<addr-line>INIA-CIFOR, Forest Research Centre, Department of Forest Ecology and Genetics, Carretera de La Coruña, Km. 7,5 28040, Madrid, Spain</addr-line>
</aff>
<aff id="aff2">
<label>2</label>
<addr-line>Department of Geography and Geology, University of Alcalá, Calle Colegios 2, 28801 Alcalá de Henares, Spain</addr-line>
</aff>
<aff id="aff3">
<label>3</label>
<addr-line>Department of Environmental and Natural Resources Management, University of Western Greece, G. Seferi 2, 30100 Agrinio, Greece</addr-line>
</aff>
<pub-date pub-type="epub">
<day>11</day>
<month>02</month>
<year>2013</year>
</pub-date>
<volume>13</volume>
<issue>2</issue>
<fpage>311</fpage>
<lpage>327</lpage>
<permissions>
<copyright-statement>Copyright: &#x000a9; 2013 J. Martínez-Fernández et al.</copyright-statement>
<copyright-year>2013</copyright-year>
<license license-type="open-access">
<license-p>This work is licensed under the Creative Commons Attribution 3.0 Unported License. To view a copy of this licence, visit <ext-link ext-link-type="uri"  xlink:href="https://creativecommons.org/licenses/by/3.0/">https://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions>
<self-uri xlink:href="https://nhess.copernicus.org/articles/13/311/2013/nhess-13-311-2013.html">This article is available from https://nhess.copernicus.org/articles/13/311/2013/nhess-13-311-2013.html</self-uri>
<self-uri xlink:href="https://nhess.copernicus.org/articles/13/311/2013/nhess-13-311-2013.pdf">The full text article is available as a PDF file from https://nhess.copernicus.org/articles/13/311/2013/nhess-13-311-2013.pdf</self-uri>
<abstract>
<p>Humans are responsible for most forest fires in Europe, but anthropogenic
factors behind these events are still poorly understood. We tried to
identify the driving factors of human-caused fire occurrence in Spain by
applying two different statistical approaches. Firstly, assuming stationary
processes for the whole country, we created models based on multiple linear
regression and binary logistic regression to find factors associated with
fire density and fire presence, respectively. Secondly, we used
geographically weighted regression (GWR) to better understand and explore
the local and regional variations of those factors behind human-caused fire
occurrence.
&lt;br&gt;&lt;br&gt;
The number of human-caused fires occurring within a 25-yr period
(1983–2007) was computed for each of the 7638 Spanish mainland
municipalities, creating a binary variable (fire/no fire) to develop
logistic models, and a continuous variable (fire density) to build standard
linear regression models. A total of 383 657 fires were registered in the study
dataset. The binary logistic model, which estimates the probability of
having/not having a fire, successfully classified 76.4% of the total
observations, while the ordinary least squares (OLS) regression model
explained 53% of the variation of the fire density patterns (adjusted
&lt;i&gt;R&lt;/i&gt;&lt;sup&gt;2&lt;/sup&gt; = 0.53). Both approaches confirmed, in addition to forest and
climatic variables, the importance of variables related with agrarian
activities, land abandonment, rural population exodus and developmental
processes as underlying factors of fire occurrence.
&lt;br&gt;&lt;br&gt;
For the GWR approach, the explanatory power of the GW linear model for fire
density using an adaptive bandwidth increased from 53% to 67%, while
for the GW logistic model the correctly classified observations improved
only slightly, from 76.4% to 78.4%, but significantly according to the
corrected Akaike Information Criterion (AIC&lt;sub&gt;c&lt;/sub&gt;), from 3451.19 to 3321.19. The
results from GWR indicated a significant spatial variation in the local
parameter estimates for all the variables and an important reduction of the
autocorrelation in the residuals of the GW linear model. Despite the fitting
improvement of local models, GW regression, more than an alternative to
&quot;global&quot; or traditional regression modelling, seems to be a valuable
complement to explore the non-stationary relationships between the response
variable and the explanatory variables. The synergy of global and local
modelling provides insights into fire management and policy and helps
further our understanding of the fire problem over large areas while at the
same time recognizing its local character.</p>
</abstract>
<counts><page-count count="17"/></counts>
</article-meta>
</front>
<body/>
<back>
<ref-list>
<title>References</title>
<ref id="ref1">
<label>1</label><mixed-citation publication-type="other" xlink:type="simple">Avila-Flores, D., Pompa-Garcia, M., Antonio-Nemiga, X., Rodriguez-Trejo, D., Vargas-Perez, E., and Santillan-Perez, J.: Driving factors for forest fire occurrence in Durango State of Mexico: A geospatial perspective, Chinese Geogr. Sci., 20, 491–497, 2010.</mixed-citation>
</ref>
<ref id="ref2">
<label>2</label><mixed-citation publication-type="other" xlink:type="simple">Badia-Perpinya, A. and Pallares-Barbera, M.: Spatial distribution of ignitions in Mediterranean periurban and rural areas: the case of Catalonia, Int. J. Wildland Fire, 15, 187–196, 2006.</mixed-citation>
</ref>
<ref id="ref3">
<label>3</label><mixed-citation publication-type="other" xlink:type="simple">Bajocco, S. and Ricotta, C.: Evidence of selective burning in Sardinia (Italy): which land cover classes do wildfires prefer?, Landscape Ecol., 23, 241–248, 2008.</mixed-citation>
</ref>
<ref id="ref4">
<label>4</label><mixed-citation publication-type="other" xlink:type="simple">Brunsdon, C., Fotheringham, A. S., and Charlton, M.: Geographically weighted regression: a method for exploring spatial non-stationarity, Geogr. Anal., 28, 281–298, 1996.</mixed-citation>
</ref>
<ref id="ref5">
<label>5</label><mixed-citation publication-type="other" xlink:type="simple">Carmo, M., Moreira, F., Casimiro, P., and Vaz, P.: Land use and topography influence on wildfire occurrence in northern Portugal, Landscape Urban Plan., 100, 169–176, 2011.</mixed-citation>
</ref>
<ref id="ref6">
<label>6</label><mixed-citation publication-type="other" xlink:type="simple">Catry, F. X., Rego, F. C., Bação, F. L., and Moreira, F.: Modeling and mapping wildfire ignition risk in Portugal, Int. J. Wildland Fire, 18, 921–931, &lt;a href=&quot;http://dx.doi.org/10.1071/WF07123&quot;&gt;https://doi.org/10.1071/WF07123&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref7">
<label>7</label><mixed-citation publication-type="other" xlink:type="simple">Cardille, J. A., Ventura, S. J., and Turner, M. G.: Environmental and social factors influencing wildfires in the Upper Midwest, United States, Ecol. Appl., 11, 111–127, 2001.</mixed-citation>
</ref>
<ref id="ref8">
<label>8</label><mixed-citation publication-type="other" xlink:type="simple">Charlton, M. and Fotheringham, A. S.: Geographically Weighted Regression. A Tutorial on using GWR in ArcGIS 9.3, available at: &lt;a href=&quot;http://ncg.nuim.ie/ncg/gwr/GWR_Tutorial.pdf &quot;&gt;http://ncg.nuim.ie/ncg/gwr/GWR_Tutorial.pdf &lt;/a&gt;, National Centre for Geocomputation, National University of Ireland Maynooth, Maynooth, County Kildare, Ireland, 25 pp., 2009.</mixed-citation>
</ref>
<ref id="ref9">
<label>9</label><mixed-citation publication-type="other" xlink:type="simple">Charlton, M., Fotheringham, A. S., and Brunsdon, C.: Geographically Weighted Regression. VERSION 2.x, User&apos;s Manual and Installation Guide. National Centre for Geocomputation, National University of Ireland Maynooth, Maynooth, 33 pp., 2003.</mixed-citation>
</ref>
<ref id="ref10">
<label>10</label><mixed-citation publication-type="other" xlink:type="simple">Chuvieco, E., Aguado, I., Yebra, M., Nieto, H., Salas, J., Martín, M. P., Vilar, L., Mart\i nez, F. J., Mart\i n, S., Ibarra, P., De la Riva, J., Baeza, J., Rodriguez, F., Molina, J., Herrera, M. A., and Zamora, R.: Development of a framework for fire risk assessment using remote sensing and geographic information system technologies, Ecol. Model., 221, 46–58, 2010.</mixed-citation>
</ref>
<ref id="ref11">
<label>11</label><mixed-citation publication-type="other" xlink:type="simple">Dickson, B. G., Prather, J. W., Xu, Y., Hampton, H. M., Aumack, E. N., and Sisk T. D.: Mapping the probability of large fire occurrence in northern Arizona, USA, Landscape Ecol., 21, 747–761, 2006.</mixed-citation>
</ref>
<ref id="ref12">
<label>12</label><mixed-citation publication-type="other" xlink:type="simple">Drever, C. R., Drever, M. C., Messier, C., Bergeron, Y., and Flannigan, M.: Fire and the relative roles of weather, climate and landscape characteristics in the Great Lakes-St. Lawrence forest of Canada, J. Veg. Sci., 19, 57–66, 2008.</mixed-citation>
</ref>
<ref id="ref13">
<label>13</label><mixed-citation publication-type="other" xlink:type="simple">FAO: Fire Management – Global Assessment 2006, A Thematic Study Prepared in the Framework of the Global Forest Resources Assessment 2005, FAO, Rome, 2007.</mixed-citation>
</ref>
<ref id="ref14">
<label>14</label><mixed-citation publication-type="other" xlink:type="simple">Fotheringham, A. S., Charlton, M., and Brunsdon, C.: The Geography of Parameter Space: An Investigation of Spatial Nonstationarity, Int. J. Geogr. Inf. Syst., 10, 605–627, 1996.</mixed-citation>
</ref>
<ref id="ref15">
<label>15</label><mixed-citation publication-type="other" xlink:type="simple">Fotheringham, A. S., Charlton, M., and Brunsdon, C.: Two techniques for exploring nonstationarity in geographical data, Geographical Systems, 4, 59–82. 1997.</mixed-citation>
</ref>
<ref id="ref16">
<label>16</label><mixed-citation publication-type="other" xlink:type="simple">Fotheringham, A. S., Brunsdon, C., and Charlton, M.: Geographically Weighted Regression: The Analysis of Spatially Varying Relationships, John Wiley and Sons, New York, 269 pp., 2002.</mixed-citation>
</ref>
<ref id="ref17">
<label>17</label><mixed-citation publication-type="other" xlink:type="simple">González-Olabarria, J. R., Mola, B., Pukkala, T. and Palahí, M.: Using multi-scale spatial analysis to assess fire ignition density in Catalonia, Spain, Ann. For. Sci., 68, 861–871, 2011.</mixed-citation>
</ref>
<ref id="ref18">
<label>18</label><mixed-citation publication-type="other" xlink:type="simple">Hill, J., Stellmes, M., Udelhoven, T., Röder, A., and Sommer, S.: Mediterranean desertification and land degradation: Mapping related land use change syndromes based on satellite observations, Global Planet. Change, 64, 146–157, 2008.</mixed-citation>
</ref>
<ref id="ref19">
<label>19</label><mixed-citation publication-type="other" xlink:type="simple">Hope, A. C. A.: A simplified Monte Carlo Significance Test Procedure, J. R. Stat. Soc. Ser. B, 30, 582–598, 1968.</mixed-citation>
</ref>
<ref id="ref20">
<label>20</label><mixed-citation publication-type="other" xlink:type="simple">Jetz, W., Rahbek, C., and Lichstein, J. W.: Local and Global Approaches to Spatial Data Analysis in Ecology, Global Ecol. Biogeogr., 14, 97–98, 2005.</mixed-citation>
</ref>
<ref id="ref21">
<label>21</label><mixed-citation publication-type="other" xlink:type="simple">Koutsias, N., Martínez, J., Chuvieco, E., and Allgöwer, B.: Modeling Wildland Fire Occurrence in Southern Europe by a Geographically Weighted Regression Approach, in: Proceedings of the 5th International Workshop on Remote Sensing and GIS Applications to Forest Fire Management: Fire Effects Assessment, Universidad de Zaragoza, Spain, 57–60, ISBN:84-96214-52-4, 2005.</mixed-citation>
</ref>
<ref id="ref22">
<label>22</label><mixed-citation publication-type="other" xlink:type="simple">Koutsias, N., Martínez-Fernández, J., and Allgöwer, B.: Do factors causing wildfires vary in space? Evidence from geographically weighted regression, GISci. Remote Sens., 47, 1548–1603, 2010.</mixed-citation>
</ref>
<ref id="ref23">
<label>23</label><mixed-citation publication-type="other" xlink:type="simple">Koutsias, N., Arianoutsou, M., Kallimanis, A. S., Mallinis, G., Halley, J. M., and Dimopoulos, P.: Where did the fires burn in Peloponnisos, Greece the summer of 2007? Evidence for a synergy of fuel and weather, Agr. For. Meteorol., 156, 41–53, 2012.</mixed-citation>
</ref>
<ref id="ref24">
<label>24</label><mixed-citation publication-type="other" xlink:type="simple">Krebs, P., Koutsias, N., and Conedera, M.: Modelling the eco-cultural niche of giant chestnut trees in southern Switzerland: new insights into landscape history through distribution analysis of a heritage, J. Hist. Geogr., 38, 372–386, &lt;a href=&quot;http://dx.doi.org/10.1016/j.jhg.2012.01.018&quot;&gt;https://doi.org/10.1016/j.jhg.2012.01.018&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref25">
<label>25</label><mixed-citation publication-type="other" xlink:type="simple">Kwak, H., Lee, W., Saborowski, J., Lee, S., Won, M., Koo, K., Lee, M., and Kim, S.: Estimating the spatial pattern of human-caused forest fires using a generalized linear mixed model with spatial autocorrelation in South Korea, Int. J. Geogr. Inf. Sci., 26, 1589–1602, &lt;a href=&quot;http://dx.doi.org/10.1080/13658816.2011.642799&quot;&gt;https://doi.org/10.1080/13658816.2011.642799&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref26">
<label>26</label><mixed-citation publication-type="other" xlink:type="simple">Leone, V., Koutsias, N., Martínez, J., Vega-García, C., Allgöwer, B., and Lovreglio, R: The human factor in fire danger assessment, edited by: Chuvieco, E., in: Wildland Fire Danger, Estimation and Mapping, The Role of Remote Sensing Data, Ser. Rem. Sens., 4, World Scientific Publishing Co. Pte. Ltd, 143–196, ISBN:981-238-569-X, 2003.</mixed-citation>
</ref>
<ref id="ref27">
<label>27</label><mixed-citation publication-type="other" xlink:type="simple">Leone, V., Lovreglio, R., Martín, M. P, Martínez, J., and Vilar, L.: Human factors of fire occurrence in the Mediterranean, edited by: Chuvieco, E., in: Earth Observation of Wildland Fires in Mediterranean Ecosystems, Springer-Verlag, Berlin Heidelberg, 149–170, ISBN:978-3-642-01753-7, &lt;a href=&quot;http://dx.doi.org/10.1007/978-3-642-01754-4_11&quot;&gt;https://doi.org/10.1007/978-3-642-01754-4_11&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref28">
<label>28</label><mixed-citation publication-type="other" xlink:type="simple">Maingi, J. K. and Henry, M. C.: Factors influencing wildlife occurrence and distribution in eastern Kentucky, USA, Int. J. Wildland Fire, 16, 23–33, 2007.</mixed-citation>
</ref>
<ref id="ref29">
<label>29</label><mixed-citation publication-type="other" xlink:type="simple">Martínez, J., Martínez Vega, J., and Martín, M. P.: El factor humano en los incendios forestales: análisis de factores socio-económicos relacionados con la incidencia de incendios forestales en España, edited by: Chuvieco, E. and Martin, M. P., in:: Nuevas Tecnologías para la Estimación del Riesgo de Incendios Forestales., Madrid, CSIC, Spain, 101–142, 2004.</mixed-citation>
</ref>
<ref id="ref30">
<label>30</label><mixed-citation publication-type="other" xlink:type="simple">Martínez, J., Vega-García, C., and Chuvieco. E.: Human-caused wildfire risk rating for prevention planning in Spain, J. Environ. Manage., 90, 1241–1252, &lt;a href=&quot;http://dx.doi.org/10.1016/j.jenvman.2008.07.005&quot;&gt;https://doi.org/10.1016/j.jenvman.2008.07.005&lt;/a&gt;, 2009.</mixed-citation>
</ref>
<ref id="ref31">
<label>31</label><mixed-citation publication-type="other" xlink:type="simple">Marques, S., Borges, J. G., Garcia-Gonzalo, J., Moreira, F., Carreira, J. M. B., Oliveira, M. M., Cantarinha, A., Botequim, B., and Pereira, J. M. C.: Characterization of wildfires in Portugal, Eur. J. For. Res., 130, 775–784, 2011.</mixed-citation>
</ref>
<ref id="ref32">
<label>32</label><mixed-citation publication-type="other" xlink:type="simple">Menard, S. W.: Logistic regression: From introductory to advanced concepts and applications, Sage, London, 377 pp., 2010.</mixed-citation>
</ref>
<ref id="ref33">
<label>33</label><mixed-citation publication-type="other" xlink:type="simple">Moreira, F., Vaz, P., Catry, F., and Silva, J. S.: Regional variations in wildfire preference for land cover types in Portugal: implications for landscape management to minimise fire hazard, Int. J. Wildland Fire, 18, 563–574, 2009.</mixed-citation>
</ref>
<ref id="ref34">
<label>34</label><mixed-citation publication-type="other" xlink:type="simple">Moreira, F., Viedma, O., Arianoutsou, M., Curt, T., Koutsias, N., Rigolot, E., Barbati, A., Corona, P., Vaz, P., Xanthopoulos, G., Mouillot, F., and Bilgili, E.: Landscape – wildfire interactions in Southern Europe: implications for landscape management, J. Environ. Manage., 92, 2389–2402, 2011.</mixed-citation>
</ref>
<ref id="ref35">
<label>35</label><mixed-citation publication-type="other" xlink:type="simple">Narayanaraj, G. and Wimberly, M. C.: Influences of forest roads on the spatial patterns of human- and lightning-caused wildfire ignitions, Appl. Geogr., 32, 878–888, 2012.</mixed-citation>
</ref>
<ref id="ref36">
<label>36</label><mixed-citation publication-type="other" xlink:type="simple">Ninyerola, M. Pons, X., and Roure, J. M.: Atlas Climático de la Península Ibérica, Metodología y Aplicaciones en Bioclimatología y Geobotánica. Universidad Autónoma de Barcelona, Bellaterra, Spain. 45 pp., ISBN:932860-8-7, 2005.</mixed-citation>
</ref>
<ref id="ref37">
<label>37</label><mixed-citation publication-type="other" xlink:type="simple">Nunes, A. N.: Regional variability and driving forces behind forest fires in Portugal an overview of the last three decades (1980–2009), Appl. Geogr., 34, 576–586, 2012.</mixed-citation>
</ref>
<ref id="ref38">
<label>38</label><mixed-citation publication-type="other" xlink:type="simple">Nunes, M. C. S., Vasconcelos, M. J., Pereiram, J. M. C, Dasgupta, N., Alldredge, R. J., and Rego, F. C.: Land cover type and fire in Portugal: do fires burn land cover selectively?, Landscape Ecol., 20, 661–673, &lt;a href=&quot;http://dx.doi.org/10.1007/s10980-005-0070-8&quot;&gt;https://doi.org/10.1007/s10980-005-0070-8&lt;/a&gt;, 2005.</mixed-citation>
</ref>
<ref id="ref39">
<label>39</label><mixed-citation publication-type="other" xlink:type="simple">Oliveira, S., Oehler, F., San-Miguel-Ayanz, J., Camia, A., and Pereira, J. M. C.: Modeling spatial patterns of fire occurrence in Mediterranean Europe using Multiple Regression and Random Forest, Forest Ecol. Manag., 275, 117–129, 2012.</mixed-citation>
</ref>
<ref id="ref40">
<label>40</label><mixed-citation publication-type="other" xlink:type="simple">Ortega, M., Saura, S., González-Ávila, S., Gómez-Sanz, V., and Elena-Rosselló, R.: Landscape vulnerability to wildfires at the forest-agriculture interface: half-century patterns in Spain assessed through the SISPARES monitoring framework, Agroforest. Syst., 85, 331–349, &lt;a href=&quot;http://dx.doi.org/10.1007/s10457-011-9423-2&quot;&gt;https://doi.org/10.1007/s10457-011-9423-2&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref41">
<label>41</label><mixed-citation publication-type="other" xlink:type="simple">Padilla, M. and Vega-García, C.: On the comparative importance of fire danger rating indices and their integration with spatial and temporal variables for predicting daily human-caused fire occurrences in Spain, Int. J. Wildland Fire, 20, 46–58, 2011.</mixed-citation>
</ref>
<ref id="ref42">
<label>42</label><mixed-citation publication-type="other" xlink:type="simple">Poudyal, N. C., Johnson-Gaither, C., Goodrick, S., Bowker, J. M., and Gan, J.: Locating spatial variation in the association between wildland fire risk and social vulnerability across six southern States, Environ. Manage., 49, 623–635, &lt;a href=&quot;http://dx.doi.org/10.1007/s00267-011-9796-z&quot;&gt;https://doi.org/10.1007/s00267-011-9796-z&lt;/a&gt;, 2012.</mixed-citation>
</ref>
<ref id="ref43">
<label>43</label><mixed-citation publication-type="other" xlink:type="simple">Propastin, P. A. and Kappas, M.: Reducing Uncertainty in Modeling the NDVI-Precipitation Relationship: A Comparative Study Using Global and Local Regression Techniques, GISci. Remote Sens., 45, 47–67, 2008.</mixed-citation>
</ref>
<ref id="ref44">
<label>44</label><mixed-citation publication-type="other" xlink:type="simple">Rodrigues, J. and De la Riva, J.: Modelado de la variación espacial de los factores explicativos de la causalidad humana en incendios forestales mediante Regresión Logística Ponderada Geográficamente, edited by: Martínez-Vega, J. and Martín, M. P , in: Tecnologías de la Información Geográfica en el contexto del Cambio Global. Libro de Actas del XV Congreso Nacional de Tecnologías de la Información Geográfica, Madrid, Spain, 395–406, 2012.</mixed-citation>
</ref>
<ref id="ref45">
<label>45</label><mixed-citation publication-type="other" xlink:type="simple">Romero-Calcerrada, R., Novillo, C. J., Millington, J. D. A., and Gomez-Jimenez, I.: GIS analysis of spatial patterns of human-caused wildfire ignition risk in the SW of Madrid, Central Spain, Landscape Ecol., 23, 341–354, 2008.</mixed-citation>
</ref>
<ref id="ref46">
<label>46</label><mixed-citation publication-type="other" xlink:type="simple">Romero-Calcerrada, R., Barrio-Parra, F., Millington, J. D. A., and Novillo, C. J.: Spatial modelling of socioeconomic data to understand patterns of human-caused wildfire ignition risk in the SW of Madrid, Central Spain, Ecol. Modell., 221, 34–45, 2010.</mixed-citation>
</ref>
<ref id="ref47">
<label>47</label><mixed-citation publication-type="other" xlink:type="simple">Ruiz-Mirazo, J., Martínez-Fernández, J., and Vega-García, C.: Pastoral wildfires in the Mediterranean: understanding their linkages to land cover patterns in managed landscapes, J. Environ. Manage., 98, 43–50, 2012.</mixed-citation>
</ref>
<ref id="ref48">
<label>48</label><mixed-citation publication-type="other" xlink:type="simple">Sá, A. C. L., Pereira, J. M. C., Charlton, M. E., Mota, B., Barbosa P. M., and Fotheringham, A. S.: The pyrogeography of sub-Saharan Africa: a study of the spatial non-stationarity of fire–environment relationships using GWR, J. Geogr. Syst., 13, 227–248, &lt;a href=&quot;http://dx.doi.org/10.1007/s10109-010-0123-7&quot;&gt;https://doi.org/10.1007/s10109-010-0123-7&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref49">
<label>49</label><mixed-citation publication-type="other" xlink:type="simple">Sebastián-López, A., Salvador-Civil, R., Gonzalo-Jiménez, J., and San Miguel-Ayanz, J.: Integration of socio-economic and environmental variables for modelling long-term fire danger in Southern Europe, European J. Forest Res., 127, 149–163, &lt;a href=&quot;http://dx.doi.org/10.1007/s10342-007-0191-5&quot;&gt;https://doi.org/10.1007/s10342-007-0191-5&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref50">
<label>50</label><mixed-citation publication-type="other" xlink:type="simple">Syphard, A. D., Radeloff, V. C., Keeley, J. E., Hawbaker, T. J., Clayton, M. K., Stewart, S. I., and Hammer, R. B.: Human influence on California fire regimes, Ecol. Appl., 17, 1388–1402, 2007.</mixed-citation>
</ref>
<ref id="ref51">
<label>51</label><mixed-citation publication-type="other" xlink:type="simple">Syphard, A. D., Radeloff, V. C., Keuler, N. S., Taylor, R. S., Hawbaker, T. J., Stewart, S. I., and Clayton, M. K.: Predicting spatial patterns of fire on a southern California landscape, Int. J. Wildland Fire, 17, 602–613, &lt;a href=&quot;http://dx.doi.org/10.1071/WF07087&quot;&gt;https://doi.org/10.1071/WF07087&lt;/a&gt;, 2008.</mixed-citation>
</ref>
<ref id="ref52">
<label>52</label><mixed-citation publication-type="other" xlink:type="simple">SSTARS (Social Sciences Teaching and Research Statistics): Multicollinearity in Logistic Regression. Information Technology Computing Center, University of Kentucky, available at: &lt;a href=&quot;http://www.uky.edu/ComputingCenter/SSTARS/MulticollinearityinLogisticRegression.htm&quot;&gt;http://www.uky.edu/ComputingCenter/SSTARS/MulticollinearityinLogisticRegression.htm&lt;/a&gt;, last access: 10&amp;nbsp; March&amp;nbsp;2012.</mixed-citation>
</ref>
<ref id="ref53">
<label>53</label><mixed-citation publication-type="other" xlink:type="simple">Tulbure, M. G., Wimberly, M. C., Roy, D. P., and Henebry, G. M.: Spatial and temporal heterogeneity of agricultural fires in the central United States in relation to land cover and land use, Landscape Ecol., 26, 211–224, &lt;a href=&quot;http://dx.doi.org/10.1007/s10980-010-9548-0&quot;&gt;https://doi.org/10.1007/s10980-010-9548-0&lt;/a&gt;, 2011.</mixed-citation>
</ref>
<ref id="ref54">
<label>54</label><mixed-citation publication-type="other" xlink:type="simple">Vasconcelos, M. J. P., Silva, S., Tome, M., Alvim, M., and Pereira, J. M. C.: Spatial prediction of fire ignition probabilities: comparing logistic regression and neural networks, Photogramm. Eng. Rem. S., 67, 73–8, 2001.</mixed-citation>
</ref>
<ref id="ref55">
<label>55</label><mixed-citation publication-type="other" xlink:type="simple">Vazquez A. and Moreno J. M.: Patterns of lightning- and human-caused fires in peninsular Spain, Int. J. Wildland Fire, 8, 103–115, &lt;a href=&quot;http://dx.doi.org/10.1071/WF9980103&quot;&gt;https://doi.org/10.1071/WF9980103&lt;/a&gt;, 1998.</mixed-citation>
</ref>
<ref id="ref56">
<label>56</label><mixed-citation publication-type="other" xlink:type="simple">Vega-Garcia, C., Woodard, T., Adamowicz, W. L., and Lee, B.,: A logit model for predicting the daily occurrence of human caused forest fires, Int. J. Wildland Fire, 5, 101–111, 1995.</mixed-citation>
</ref>
<ref id="ref57">
<label>57</label><mixed-citation publication-type="other" xlink:type="simple">Vélez, R.: La Defensa Contra Incendios Forestales. Fundamentos y Experiencias. McGraw-Hill, Aravaca, Madrid, Spain, 2009.</mixed-citation>
</ref>
<ref id="ref58">
<label>58</label><mixed-citation publication-type="other" xlink:type="simple">Viegas, D. X., Allgöwer, B., Koutsias, N., and Eftichidis, G.: Fire Spread and the Urban Wildland Interface Problem, edited by: Xanthopoulos, G., in: Proceedings of the International Workshop on Forest Fires in the Wildland-Urban Interface and Rural Areas in Europe: an integral planning and management challenge, MAICh, Chania, Greece, 22–34, 2003.</mixed-citation>
</ref>
<ref id="ref59">
<label>59</label><mixed-citation publication-type="other" xlink:type="simple">Vilar, L., Woolford, D. G., Martell, D. L., and Martín, M. P.: A model for predicting human-caused wildfire occurrence in the region of Madrid, Spain, Int. J. Wildland Fire, 19, 325–337, &lt;a href=&quot;http://dx.doi.org/10.1071/WF09030&quot;&gt;https://doi.org/10.1071/WF09030&lt;/a&gt;, 2010.</mixed-citation>
</ref>
<ref id="ref60">
<label>60</label><mixed-citation publication-type="other" xlink:type="simple">Wang, Q., Ni, J., and Tenhunen, J.: Application of a Geographically-Weighted Regression Analysis to Estimate Net Primary Production of Chinese Forest, Global Ecol. Biogeogr., 14, 379–393, 2005.</mixed-citation>
</ref>
<ref id="ref61">
<label>61</label><mixed-citation publication-type="other" xlink:type="simple">Xu, D. Shao, G. Dai, L. Hao, Z. Tang, L., and Wang, H.: Mapping forest fire risk zones with spatial data and principal component analysis, Sci. China Ser. E, 49, 140–149, 2006.</mixed-citation>
</ref>
<ref id="ref62">
<label>62</label><mixed-citation publication-type="other" xlink:type="simple">Yang, J., He, H. S., Shifley S. R., and Gustafson E. J.: Spatial patterns of modern period human-caused fire occurrence in the Missouri Ozark Highlands, Forest Sci., 53, 1–15, 2007.</mixed-citation>
</ref>
</ref-list>
</back>
</article>