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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. For. Glob. Change</journal-id>
<journal-title>Frontiers in Forests and Global Change</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. For. Glob. Change</abbrev-journal-title>
<issn pub-type="epub">2624-893X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/ffgc.2022.1073554</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Forests and Global Change</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Evaluation of the regional climate model for the forest area of Yunnan in China</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Deng</surname> <given-names>Xiaofan</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/2058307/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Zhang</surname> <given-names>Zhe</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Zhao</surname> <given-names>Fan</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c002"><sup>&#x002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/2058092/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Zhu</surname> <given-names>Zheng</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Wang</surname> <given-names>Qiuhua</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>College of Big Data and Intelligent Engineering, Southwest Forestry University</institution>, <addr-line>Kunming</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>College of Landscape Architecture and Horticulture, Southwest Forestry University</institution>, <addr-line>Kunming</addr-line>, <country>China</country></aff>
<aff id="aff3"><sup>3</sup><institution>College of Architecture and Construction, Southwest Forestry University</institution>, <addr-line>Kunming</addr-line>, <country>China</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Tongxin Hu, Northeast Forestry University, China</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Cheng He, Nanjing Forest Police College, China; Hongwei Chen, Shenyang University, China</p></fn>
<corresp id="c001">&#x002A;Correspondence: Zhe Zhang, <email>zhe.jessy.zhang@gmail.com</email></corresp>
<corresp id="c002">Fan Zhao, <email>fzhao@swfu.edu.cn</email></corresp>
<fn fn-type="other" id="fn004"><p>This article was submitted to Fire and Forests, a section of the journal Frontiers in Forests and Global Change</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>06</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>5</volume>
<elocation-id>1073554</elocation-id>
<history>
<date date-type="received">
<day>18</day>
<month>10</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>14</day>
<month>12</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2023 Deng, Zhang, Zhao, Zhu and Wang.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Deng, Zhang, Zhao, Zhu and Wang</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract>
<p>Climate change is becoming increasingly severe. Today, several studies have found that climate change substantially influences the increasing number of forest fires. Regional climate models (RCMs) are currently a vital tool for climate forecasting in researching how to combat forest fires. As China&#x2019;s forest fire area, Yunnan province has frequent forest fires that generate significant losses, so it is a crucial area for forest fire prevention in China. Therefore, this study uses meteorological observational data from 25 stations in Yunnan over the period 2004&#x2013;2018 to compares and evaluates the Regional Climate Forecast Model (RegCM) and Weather Research and Forecasting model (WRF) in multiple dimensions. The optimal RCM is then determined for the forest area of Yunnan. The results show that the deviations of RegCM predictions from the spatial mean of the real temperature are less than 3&#x00B0;C, whereas the deviations of WRF are all greater than 3&#x00B0;C. In addition, the RegCM correlation coefficient exceeds 0.8, whereas the WRF correlation coefficient exceeds 0.75. In terms of precipitation, the deviation of RegCM predictions for the whole territory is less than 2 mm, whereas the overall deviation of WRF predictions is great. The correlation coefficient for RegCM and WRF are both less than 0.5, but the RegCM correlation coefficient exceeds that of the WRF. We thus conclude that RegCM is more suitable for predicting the climate of the forest area of Yunnan. This study also provides references for related climate forecasting and research into forest fire dynamics in general.</p>
</abstract>
<kwd-group>
<kwd>forest fire dynamics</kwd>
<kwd>RCM</kwd>
<kwd>regional climate forecast model (RegCM)</kwd>
<kwd>weather research and forecasting model (WRF)</kwd>
<kwd>climate forecast</kwd>
</kwd-group>
<contract-num rid="cn001">32160374, 31860234</contract-num>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content></contract-sponsor>
<counts>
<fig-count count="11"/>
<table-count count="3"/>
<equation-count count="2"/>
<ref-count count="45"/>
<page-count count="14"/>
<word-count count="5516"/>
</counts>
</article-meta>
</front>
<body>
<sec id="S1" sec-type="intro">
<title>1. Introduction</title>
<p>Forest fires dynamics are one of the main contents of medium- and long-term forecasting of forest fire. It depends mainly on the interaction between climate, vegetation, and human activity. Over the long term, the climate is the main factor that determines forest fire dynamics (<xref ref-type="bibr" rid="B12">Feldmann et al., 2009</xref>; <xref ref-type="bibr" rid="B10">Dupuy et al., 2020</xref>; <xref ref-type="bibr" rid="B20">Goss et al., 2020</xref>). In recent years, the climate has changed drastically, so the accuracy of climate forecasts has become a major subject in forest fire research.</p>
<p>Climate prediction models are currently effective tools for climate forecasting (<xref ref-type="bibr" rid="B3">Boer et al., 2016</xref>; <xref ref-type="bibr" rid="B38">Smith et al., 2020</xref>; <xref ref-type="bibr" rid="B2">Ban et al., 2021</xref>). The regional climate model (RCM) produces regional climate predictions from the global climate model (GCM), but these predictions are inaccurate because of the latter&#x2019;s horizontal resolution of roughly 250&#x2013;600 km of the global climate model (<xref ref-type="bibr" rid="B7">Deser et al., 2012</xref>; <xref ref-type="bibr" rid="B18">Giorgi and Gutowski, 2015</xref>; <xref ref-type="bibr" rid="B16">Giorgi, 2019</xref>). Commonly used RCMs include (1) Regional Climate Forecasting Model (RegCM) from the International Centre for Theoretical Physics, (2) Weather Research and Forecasting (WRF) from the National Centers for Environmental Prediction, (3) Climate-Weather Research and Forecasting (CWRF) from the University of Maryland;(4) Providing Regional Climates for Impacts Studies (PRECIS) from the United Kingdom Meteorological Office Hadley Centre, and (5) High-Resolution Limited-Area Model (HIRHAM) from the Danish Meteorological Institute. Previous studies show that RegCM is not suitable for high-latitude regions (<xref ref-type="bibr" rid="B32">Mallet et al., 2017</xref>; <xref ref-type="bibr" rid="B37">Shi et al., 2018</xref>; <xref ref-type="bibr" rid="B6">Da Silva et al., 2019</xref>), WRF and CWRF are suitable for most regions (<xref ref-type="bibr" rid="B34">Raghavan et al., 2016</xref>; <xref ref-type="bibr" rid="B15">Garrido et al., 2020</xref>; <xref ref-type="bibr" rid="B25">Kuo et al., 2020</xref>), PRECIS is suitable for equatorial regions (<xref ref-type="bibr" rid="B4">Centella-Artola et al., 2015</xref>), HIRHAM is suitable for polar regions (<xref ref-type="bibr" rid="B9">Dorn et al., 2018</xref>). However, other studies reveal many exceptions to these guidelines, especially in regions with unique topographic and climatic characteristics, such as the Yunnan forest area, where the selection of RCMs still requires evaluation with the help of local characteristics data.</p>
<p>The present study compares meteorological observational data from stations in Yunnan from 2004 to 2018 with predictions of the selected RCM for the same period. We then analyze the degree of deviation in multiple dimensions between predictions and observations to determine which RCM is suitable for the forest area of Yunnan based. This study should provide a reference for researching forest fire dynamics and related regional climate predictions research.</p>
</sec>
<sec id="S2">
<title>2. Data and method</title>
<sec id="S2.SS1">
<title>2.1. Region of interest</title>
<p>Yunnan is located in southwest China (21&#x00B0;8&#x2032;&#x2013;29&#x00B0;15&#x2032;N, 97&#x00B0;31&#x2032;&#x2013;106&#x00B0;11&#x2032;E) and belongs to the highland area (<xref ref-type="fig" rid="F1">Figure 1</xref>). The terrain is unique; it is high in the northwest and low in the southeast, descending stepwise from north to south at an average of 6 m/km. The area has a subtropical highland monsoon climate with small annual temperature differences but large daily temperature differences. It has distinct dry and wet seasons, the topography significantly affects the air temperature, and the three-dimensional climate characteristics are remarkable. The forest area of Yunnan has the highest incidence of forest fires in China (<xref ref-type="bibr" rid="B23">Hong et al., 2007</xref>). The forest fire-danger period is generally from December to June of the following year, and the high-fire-danger period is from March to May (<xref ref-type="bibr" rid="B33">People&#x2019;s Government of Yunnan Province, 2022</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption><p>Distribution of meteorological stations in Yunnan forest area.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="ffgc-05-1073554-g001.tif"/>
</fig>
</sec>
<sec id="S2.SS2">
<title>2.2. Model selection and configuration</title>
<p>Regional climate forecasting model is developed by the International Centre for Theoretical Physic and is currently the most used RCM (<xref ref-type="bibr" rid="B17">Giorgi and Bates, 1989</xref>; <xref ref-type="bibr" rid="B19">Giorgi et al., 1993</xref>; <xref ref-type="bibr" rid="B36">Seth and Giorgi, 1998</xref>); the simulation results of different versions of RegCM have demonstrated its applicability in China (<xref ref-type="bibr" rid="B43">Xuejie et al., 2001</xref>; <xref ref-type="bibr" rid="B30">Lu et al., 2019</xref>; <xref ref-type="bibr" rid="B8">Dong and Shi, 2022</xref>). WRF is originally a mesoscale weather forecast model developed jointly by the National Centers for Environmental Prediction, the National Center for Atmospheric Research, and several universities and research institutes (<xref ref-type="bibr" rid="B22">Heikkil&#x00E4; et al., 2011</xref>). Numerous studies have confirmed that WRF accurately simulates China&#x2019;s climate (<xref ref-type="bibr" rid="B13">Gao et al., 2013</xref>; <xref ref-type="bibr" rid="B42">Xiang-Hui and Xun-Qiang, 2015</xref>; <xref ref-type="bibr" rid="B5">Chen et al., 2018</xref>; <xref ref-type="bibr" rid="B11">Entao, 2019</xref>). Most of these studies focus on the mean climatology, however, comparison between RegCM and WRF is rare (<xref ref-type="bibr" rid="B14">Gao, 2020</xref>), especially for the forest area of Yunnan. Therefore, the present study uses local data from the forest area of Yunnan to evaluate and compare RegCM and WRF (version 4.6 for RegCM and 4.2 for WRF). The running of RegCM and WRF requires the adaptive configuration of several parameters for the simulation area during operation. The simulation area is in the center of the administrative division of Yunnan province (25&#x00B0;30&#x2032;N, 101&#x00B0;36&#x2032;E). The horizontal resolution is 10 km, and the buffer area is divided into 10 grids. The dynamical and physical configuration it mainly includes dynamical schemes such as dynamical frame work, vertical layers, and physical schemes such as cumulus convection schemes, land surface settings, planetary boundary layers, microphysical parameterization, and radiation schemes. The configurations of these schemes are based on the experimental data of CORDEX-EA-I, which have been demonstrated to be suitable for East Asia (<xref ref-type="bibr" rid="B21">Guo et al., 2018</xref>; <xref ref-type="bibr" rid="B44">Yu et al., 2020</xref>; <xref ref-type="bibr" rid="B28">Li et al., 2022</xref>). These configurations are given in <xref ref-type="table" rid="T1">Table 1</xref> We use the ERA-Interim as the initial and boundary conditions for both RCMs, and the optimal interpolated sea surface temperature from the National Oceanic and Atmospheric Administration as the sea surface temperature (<xref ref-type="bibr" rid="B24">Kanamitsu et al., 2002</xref>). Additionally, the simulation period is 15 consecutive years from January 1, 2003, to December 31, 2018 (2003 is the start-up period).</p>
<table-wrap position="float" id="T1">
<label>TABLE 1</label>
<caption><p>The dynamic and physical configuration of regional climate forecast model (RegCM4) and weather research and forecasting model (WRF).</p></caption>
<table cellspacing="5" cellpadding="5" frame="box" rules="all">
<thead>
<tr>
<td valign="top" align="left" style="color:#ffffff;background-color: #7f8080;"></td>
<td valign="top" align="left" style="color:#ffffff;background-color: #7f8080;">RegCM</td>
<td valign="top" align="left" style="color:#ffffff;background-color: #7f8080;">WRF</td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Dynamic framework</td>
<td valign="top" align="left">Static</td>
<td valign="top" align="left">Non-static</td>
</tr>
<tr>
<td valign="top" align="left">Vertical layers</td>
<td valign="top" align="left">18</td>
<td valign="top" align="left">28</td>
</tr>
<tr>
<td valign="top" align="left">Cumulus convection scheme</td>
<td valign="top" align="left">MIT</td>
<td valign="top" align="left">Kain-Fritsch</td>
</tr>
<tr>
<td valign="top" align="left">Land surface setting</td>
<td valign="top" align="left">BATS</td>
<td valign="top" align="left">Noah</td>
</tr>
<tr>
<td valign="top" align="left">Planetary boundary layer scheme</td>
<td valign="top" align="left">Modified Holtslag</td>
<td valign="top" align="left">YSU</td>
</tr>
<tr>
<td valign="top" align="left">Microphysical parameterization</td>
<td valign="top" align="left">SUBEX</td>
<td valign="top" align="left">WSM5</td>
</tr>
<tr>
<td valign="top" align="left">Radiation scheme</td>
<td valign="top" align="left">Modified CCM3</td>
<td valign="top" align="left">CAM</td>
</tr>
</tbody>
</table></table-wrap>
</sec>
<sec id="S2.SS3">
<title>2.3. Observational dataset</title>
<p>We use the daily meteorological observational data (2004&#x2013;2018) from 25 stations in Yunnan (<xref ref-type="fig" rid="F1">Figure 1</xref>), as provided by the China National Meteorological Information Center<sup><xref ref-type="fn" rid="footnote1">1</xref></sup>. The data give air temperature (i.e., average daily air temperature, maximum daily air temperature, minimum daily air temperature), precipitation (20:00&#x2013;08:00 precipitation, 08:00&#x2013;20:00 precipitation, 20:00&#x2013;20:00 total precipitation), relative humidity (average relative humidity, minimum relative humidity), wind speed (average wind speed, maximum wind speed, maximum wind velocity), and other factors such as sunshine hours.</p>
</sec>
<sec id="S2.SS4">
<title>2.4. Evaluation method</title>
<p>The daily meteorological simulated data were calculated for each year by using both RegCM and WRF. We then analyzed at a progressively more granular degree the deviation of meteorological simulated data from meteorological observation data for (1) 5 years annual average, (2) annual average during the fire-danger period, (3) annual average monthly during the high-fire-danger period, and (4) other dimensions. Finally, the optimal RCM suitable for the forest area of Yunnan is determined based on the degree of deviation. The daily meteorological simulated data derived from these two RCMs are minimum temperature, maximum temperature, average precipitation, total precipitation, minimum relative humidity, maximum wind speed, and average wind speed. However, previous studies (<xref ref-type="bibr" rid="B45">Zhu et al., 2022</xref>) show that the maximum temperature and total precipitation are the main drivers of forest fire occurrence in this region, and that the combination of these two factors largely determines an area&#x2019;s forest fire dynamics. Therefore, we evaluate the maximum temperature (Tmax) and total precipitation (Preci) from the simulated output data were selected as the basis for evaluation.</p>
<p>To quantify the degree of deviation, we use four statistical indicators categorized as temporal or spatial. The first temporal statistical indicator is the root mean square error (RMSE), which reflects the overall difference between predictions and observational data. The RMSE is given by</p>
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</disp-formula>
<p>where <inline-formula><mml:math id="INEQ7"><mml:mover accent="true"><mml:mi>a</mml:mi><mml:mo>&#x00AF;</mml:mo></mml:mover></mml:math></inline-formula> is the mean of the observational data, <inline-formula><mml:math id="INEQ8"><mml:mover accent="true"><mml:mtext>b</mml:mtext><mml:mo>&#x00AF;</mml:mo></mml:mover></mml:math></inline-formula> is the mean of the simulated output data, and <italic>n</italic> is the number of datasets. The third temporal statistical indicator is the significance coefficient <italic>p</italic>, which is obtained by applying a Pearson correlation analysis, and it reflects the possibility of an event to occur (generally, <italic>p</italic> &#x003C; 0.05 means a correlation exists, <italic>p</italic> &#x003C; 0.01 means a significant correlation exists, and <italic>p</italic> &#x003C; 0.001 means an extremely significant correlation exists).</p>
<p>The spatial statistical indicator is mainly based on raster images formed by Kriging interpolation, which is a linear unbiased estimation of unknown sample points based on the use of regional changes and variation functions as an essential tool. We use Arcgis 10.8 software for interpolation.</p>
</sec>
</sec>
<sec id="S3" sec-type="results">
<title>3. Results and analysis</title>
<sec id="S3.SS1">
<title>3.1. Comparison of spatial statistics</title>
<sec id="S3.SS1.SSS1">
<title>3.1.1. Temperature</title>
<p>Daily observational maximum temperatures at each meteorological station from 2004 to 2018 were used as real data, and data were obtained from (1) 5 years annual average temperature, (2) annual average temperature during the fire-danger period, and (3) annual average monthly temperature during the high-fire-danger period. These data were then compared with the RegCM and WRF results to evaluate the accuracy with which RCM can predict daily maximum air temperature in the forest area of Yunnan.</p>
<sec id="S3.SS1.SSS1.Px1">
<title>3.1.1.1. Five-years annual average temperature</title>
<p>To clarify how RegCM and WRF simulate the temperature, we divided the period 2004&#x2013;2018 into three 5 years intervals. We compared the spatial distribution of annual mean temperature differences for RegCM, WRF and real data for three time periods. <xref ref-type="fig" rid="F2">Figure 2</xref> shows the spatial distribution of the difference between the simulated and real annual average temperatures for each five-year period. The temperatures predicted by RegCM and WRF decrease from south to north, as does the real temperature. The RegCM results are closer to the real temperatures than the WRF results, which deviate significantly from the real temperature. The spatial distribution of the RegCM results for each of the three time periods accurately predicts the temperature over the whole territory, with a negative deviation generally less than 2&#x00B0;C. Only in northwestern Yunnan is the negative deviation greater (up to 5&#x00B0;C). The WRF temperature is accurate only in southeastern Yunnan, where the negative deviation is less than 1&#x00B0;C. In most other areas, the negative deviation exceeds 4&#x00B0;C, especially in northeastern Yunnan, where it reaches 7&#x00B0;C. However, the deviation from 2009 to 2013 exceeds that of the other two periods. Additionally, the WRF produces similar results, with the largest deviation for 2009&#x2013;2013.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption><p>Spatial distribution of the difference in 5 years annual average temperature.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="ffgc-05-1073554-g002.tif"/>
</fig>
</sec>
<sec id="S3.SS1.SSS1.Px2">
<title>3.1.1.2. Annual average temperature during the fire-danger period</title>
<p>The fire-danger period for the forest area of Yunnan generally extends from December to June of the following year. Thus, we analyze the RCM results over this period. <xref ref-type="fig" rid="F3">Figure 3</xref> shows the spatial distribution of the differences in the annual mean temperature during the fire-danger period. The RegCM and WRF results are similar to the real results. The RegCM results are accurate for the southern, southwestern, southeastern, and northeastern Yunnan but deviate negatively in northwestern, central, and northern by up to 5&#x00B0;C. The WRF results are accurate only in southeastern Yunnan, the deviation in other areas exceeds 5&#x00B0;C.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption><p>Spatial distribution of the difference in annual average temperature during the fire-danger.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="ffgc-05-1073554-g003.tif"/>
</fig>
</sec>
<sec id="S3.SS1.SSS1.Px3">
<title>3.1.1.3. Annual average monthly temperature during the high-fire-danger period</title>
<p>March to May is the high-fire-danger period for the forest area of Yunnan, the vast majority of forest fires occur during this period. To clarify the simulations by RegCM and WRF for the high-fire-danger period, we compare the differences with respect to the real results for March, April, and May of each year. <xref ref-type="fig" rid="F4">Figure 4</xref> shows that both RCMs accurately predict the real temperatures. The RegCM results have deviated the least from the real temperatures. <xref ref-type="fig" rid="F5">Figure 5</xref> shows that the RegCM results deviate mainly in western and northwestern Yunnan, but in most areas of western and northwestern Yunnan in March, and it is concentrated in scattered areas in western and northwestern Yunnan in April. The sporadic areas of the month expanded to parts of southwestern Yunnan in May, and the maximum deviation attains 10&#x00B0;C. The overall results of WRF are poor, with negative deviations in the range of 4&#x2013;7&#x00B0;C.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption><p>The trend of annual average monthly temperature during the high-fire-danger (unit: &#x00B0;C).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="ffgc-05-1073554-g004.tif"/>
</fig>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption><p>Spatial distribution of the difference in annual average monthly temperature during the high-fire-danger.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="ffgc-05-1073554-g005.tif"/>
</fig>
</sec>
</sec>
<sec id="S3.SS1.SSS2">
<title>3.1.2. Precipitation</title>
<p>We also calculated 5 years average precipitation, annual average precipitation during the fire-danger period and annual average monthly precipitation during the high-fire-danger period using daily observational precipitation data from meteorological stations from 2004 to 2018 as real data. These results were then compared with the results of RegCM and WRF to evaluate the accuracy with which the two RCMs can predict daily total precipitation in the forest area of Yunnan.</p>
<sec id="S3.SS1.SSS2.Px1">
<title>3.1.2.1. Five-years annual average precipitation</title>
<p>To analyze the precipitation results of RegCM and WRF, we divided the period 2004&#x2013;2018 into three 5 years periods and compared RegCM and WRF with the real annual average precipitation data in these three time periods, respectively. <xref ref-type="fig" rid="F6">Figure 6</xref> shows the spatial distribution of the difference in annual average precipitation for each 5 years period. The results of RegCM are close to the real precipitation, whereas the WRF results deviate by more than 9-fold. The spatial distribution of the RegCM results for the three periods accurately predicts the precipitation over the whole territory, with a deviation generally less than 3 mm. The WRF results deviate from the real precipitation by less than 3 mm only in southwest Yunnan. In other areas, the deviation exceeds 3 mm, especially in northwest Yunnan, where the deviation exceeds 7 mm.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption><p>Spatial distribution of the difference in 5 years annual average precipitation.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="ffgc-05-1073554-g006.tif"/>
</fig>
</sec>
<sec id="S3.SS1.SSS2.Px2">
<title>3.1.2.2. Annual average precipitation during the fire-danger period</title>
<p>We now analyze the simulation capability of RegCM and WRF during the fire-danger period. We first compare the daily simulated precipitation results from RegCM and WRF with the real results for the fire-danger period 2004&#x2013;2018 (see <xref ref-type="fig" rid="F7">Figure 7</xref>). <xref ref-type="fig" rid="F7">Figure 7</xref> shows the spatial distribution of the difference in annual average precipitation during the fire-danger period. The RegCM and WRF results are similar overall to the real results. The RegCM results are accurate over the entire region, with deviations of less than 3 mm. For the WRF results, the deviations exceed 14 mm over the entire region, with a maximum deviation of 20 mm.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption><p>Spatial distribution of the difference in annual average precipitation during the-fire-danger.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="ffgc-05-1073554-g007.tif"/>
</fig>
</sec>
<sec id="S3.SS1.SSS2.Px3">
<title>3.1.2.3. Annual average monthly precipitation during the high-fire-danger period</title>
<p>We further analyze the simulation details of RegCM and WRF in the high-fire-danger periods by comparing the discrepancies for March, April, and May of each year. <xref ref-type="fig" rid="F8">Figure 8</xref> shows that the RegCM results deviate little from the real results, whereas the deviation of the WRF results from the real results is over tenfold greater. <xref ref-type="fig" rid="F9">Figure 9</xref> shows that the RegCM results are accurate over the entire region, whereas the WRF results are generally poor, with deviations of 4&#x2013;20 mm in most areas.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption><p>Distribution of annual average daily monthly precipitation during the high-fire danger (unit: mm).</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="ffgc-05-1073554-g008.tif"/>
</fig>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption><p>Spatial distribution of the difference in annual average monthly precipitation during the high-fire-danger.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="ffgc-05-1073554-g009.tif"/>
</fig>
</sec>
</sec>
</sec>
<sec id="S3.SS2">
<title>3.2. Comparison of temporal statistics</title>
<sec id="S3.SS2.SSS1">
<title>3.2.1. Temperature</title>
<p>We now statistically compare the RegCM and WRF results with the real temperature results with the help of Taylor plots and the statistical indicators RMSE, correlation coefficient <italic>R</italic>, confidence <italic>p</italic>, and standard deviation (STD). Recall that the more the RMSE or STD approaches zero or the more <italic>R</italic> approaches 1, the better the result, and a correlation is significant when <italic>p</italic> &#x003C; 0.01. <xref ref-type="table" rid="T2">Table 2</xref> shows the statistical indicators. For the temperature, the RMSE for RegCM is less than that of WRF. The coefficient <italic>R</italic> is closer to unity for RegCM than WRF, and <italic>p</italic> &#x003C; 0.01 for both RegCM and WRF, suggesting that both RegCM and WRF correlate significantly with the real temperature in each dimension, although RegCM is more strongly correlated.</p>
<table-wrap position="float" id="T2">
<label>TABLE 2</label>
<caption><p>Statistical indicators of temperature.</p></caption>
<table cellspacing="5" cellpadding="5" frame="box" rules="all">
<thead>
<tr>
<td valign="top" align="left" style="color:#ffffff;background-color: #7f8080;"></td>
<td valign="top" align="center" colspan="3" style="color:#ffffff;background-color: #7f8080;">RegCM</td>
<td valign="top" align="center" colspan="3" style="color:#ffffff;background-color: #7f8080;">WRF</td>
</tr>
<tr>
<td valign="top" align="left" style="color:#ffffff;background-color: #7f8080;"></td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">RMSE</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;"><italic>R</italic></td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;"><italic>P</italic></td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">RMSE</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;"><italic>R</italic></td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;"><italic>P</italic></td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">2004&#x2013;2008</td>
<td valign="top" align="center">3.76</td>
<td valign="top" align="center">0.82</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">4.50</td>
<td valign="top" align="center">0.77</td>
<td valign="top" align="center">0.00</td>
</tr>
<tr>
<td valign="top" align="left">2009&#x2013;2013</td>
<td valign="top" align="center">3.85</td>
<td valign="top" align="center">0.82</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">4.61</td>
<td valign="top" align="center">0.76</td>
<td valign="top" align="center">0.00</td>
</tr>
<tr>
<td valign="top" align="left">2014&#x2013;2018</td>
<td valign="top" align="center">3.80</td>
<td valign="top" align="center">0.82</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">4.71</td>
<td valign="top" align="center">0.75</td>
<td valign="top" align="center">0.00</td>
</tr>
<tr>
<td valign="top" align="left">Fire-danger period</td>
<td valign="top" align="center">3.85</td>
<td valign="top" align="center">0.84</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">4.79</td>
<td valign="top" align="center">0.79</td>
<td valign="top" align="center">0.00</td>
</tr>
<tr>
<td valign="top" align="left">March</td>
<td valign="top" align="center">3.34</td>
<td valign="top" align="center">0.87</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">4.24</td>
<td valign="top" align="center">0.80</td>
<td valign="top" align="center">0.00</td>
</tr>
<tr>
<td valign="top" align="left">April</td>
<td valign="top" align="center">3.13</td>
<td valign="top" align="center">0.86</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">4.03</td>
<td valign="top" align="center">0.79</td>
<td valign="top" align="center">0.00</td>
</tr>
<tr>
<td valign="top" align="left">May</td>
<td valign="top" align="center">3.24</td>
<td valign="top" align="center">0.82</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">4.20</td>
<td valign="top" align="center">0.71</td>
<td valign="top" align="center">0.00</td>
</tr>
</tbody>
</table></table-wrap>
<p>For the datum point of the Taylor chart, RMSE = 0, <italic>R</italic> = 1, and STD = 0. For a Taylor chart, the closer the prediction point is to the reference point, the better the simulation is. Based on the data given in <xref ref-type="table" rid="T2">Table 2</xref>, RMSE, R, and STD may be integrated into an extreme value graph to obtain the temperature Taylor graph (<xref ref-type="fig" rid="F10">Figure 10</xref>). In all dimensions in the Taylor diagram, the RegCM result is closer to the datum point than WRF. A temperature Taylor diagram is obtained by integrating RMSE, R, and STD over an extreme value coordinate diagram (<xref ref-type="fig" rid="F10">Figure 10</xref>). In each dimension, the RegCM result is closer to the reference point of the Taylor diagram than the WRF result.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption><p>Temperature Taylor diagram. <bold>(A)</bold> Temperature Taylor diagram every 5 years; <bold>(B)</bold> Temperature Taylor diagram during the fire-danger period; <bold>(C)</bold> Temperature Taylor diagram monthly during the high-fire-danger period.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="ffgc-05-1073554-g010.tif"/>
</fig>
</sec>
<sec id="S3.SS2.SSS2">
<title>3.2.2. Precipitation</title>
<p>We also statistically compare the RegCM and WRF results with the real precipitation results. As shown in <xref ref-type="table" rid="T3">Table 3</xref>, the RMSE of the RegCM results is less than that of the WR, the coefficient <italic>R</italic> of the RegCM results is greater than that of the WRF results, and both RegCM and WRF have <italic>p</italic> &#x003C; 0.01, suggesting that both RCMs correlate significantly with the real precipitation in all dimensions. Although the RegCM results correlate more strongly with the real precipitation than the WRF results, <italic>R</italic> &#x003C; 0.5 indicates that neither RCM follows the real precipitation. According to the Taylor diagram for precipitation (<xref ref-type="fig" rid="F11">Figure 11</xref>), the RegCM point in each dimension is closer to the reference point than the WRF point.</p>
<table-wrap position="float" id="T3">
<label>TABLE 3</label>
<caption><p>Statistical indicators of precipitation.</p></caption>
<table cellspacing="5" cellpadding="5" frame="box" rules="all">
<thead>
<tr>
<td valign="top" align="left" style="color:#ffffff;background-color: #7f8080;"></td>
<td valign="top" align="center" colspan="3" style="color:#ffffff;background-color: #7f8080;">RegCM</td>
<td valign="top" align="center" colspan="3" style="color:#ffffff;background-color: #7f8080;">WRF</td>
</tr>
<tr>
<td valign="top" align="left" style="color:#ffffff;background-color: #7f8080;"></td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">RMSE</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;"><italic>R</italic></td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;"><italic>P</italic></td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;">RMSE</td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;"><italic>R</italic></td>
<td valign="top" align="center" style="color:#ffffff;background-color: #7f8080;"><italic>P</italic></td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">2004&#x2013;2008</td>
<td valign="top" align="center">5.72</td>
<td valign="top" align="center">0.43</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">28.09</td>
<td valign="top" align="center">0.36</td>
<td valign="top" align="center">0.00</td>
</tr>
<tr>
<td valign="top" align="left">2009&#x2013;2013</td>
<td valign="top" align="center">5.33</td>
<td valign="top" align="center">0.38</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">22.65</td>
<td valign="top" align="center">0.37</td>
<td valign="top" align="center">0.00</td>
</tr>
<tr>
<td valign="top" align="left">2014&#x2013;2018</td>
<td valign="top" align="center">5.71</td>
<td valign="top" align="center">0.41</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">27.19</td>
<td valign="top" align="center">0.37</td>
<td valign="top" align="center">0.00</td>
</tr>
<tr>
<td valign="top" align="left">Fire-danger period</td>
<td valign="top" align="center">4.80</td>
<td valign="top" align="center">0.46</td>
<td valign="top" align="center">0.01</td>
<td valign="top" align="center">25.33</td>
<td valign="top" align="center">0.45</td>
<td valign="top" align="center">0.00</td>
</tr>
<tr>
<td valign="top" align="left">March</td>
<td valign="top" align="center">3.22</td>
<td valign="top" align="center">0.45</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">24.64</td>
<td valign="top" align="center">0.44</td>
<td valign="top" align="center">0.00</td>
</tr>
<tr>
<td valign="top" align="left">April</td>
<td valign="top" align="center">4.28</td>
<td valign="top" align="center">0.53</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">27.29</td>
<td valign="top" align="center">0.39</td>
<td valign="top" align="center">0.00</td>
</tr>
<tr>
<td valign="top" align="left">May</td>
<td valign="top" align="center">5.15</td>
<td valign="top" align="center">0.55</td>
<td valign="top" align="center">0.00</td>
<td valign="top" align="center">27.12</td>
<td valign="top" align="center">0.43</td>
<td valign="top" align="center">0.00</td>
</tr>
</tbody>
</table></table-wrap>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption><p>Precipitation Taylor diagram. <bold>(A)</bold> Precipitation Taylor diagram every 5 years; <bold>(B)</bold> Precipitation Taylor diagram during the fire-danger period; <bold>(C)</bold> Precipitation Taylor diagram monthly during the high-fire-danger period.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="ffgc-05-1073554-g011.tif"/>
</fig>
</sec>
</sec>
</sec>
<sec id="S4" sec-type="discussion|conclusion">
<title>4. Discussion and conclusion</title>
<p>Regional climate forecast model produces more accurate temperature and precipitation predictions over the entire region than WRF. For temperature, the RegCM results deviate only slightly from the real temperature in most areas except northwest Yunnan, and the deviation decreases during the high-fire-danger period, especially in May. For precipitation, although the RegCM results do not match the real precipitation, the predicted mean precipitation is acceptable in all time periods and over the entire region, which meets the needs of forest- fire forecasting.</p>
<p>The results also clearly show the correlation between RegCM simulated temperature and precipitation, which is mainly attributed to the land surface model (<xref ref-type="bibr" rid="B31">Lynch et al., 1997</xref>), the physical parameterization (<xref ref-type="bibr" rid="B29">Lorant et al., 2006</xref>), the choice of simulated terrain (<xref ref-type="bibr" rid="B27">Letcher and Minder, 2015</xref>), and the choice of the global climate model or reanalysis data (<xref ref-type="bibr" rid="B35">Rummukainen et al., 2001</xref>; <xref ref-type="bibr" rid="B26">Landgren et al., 2014</xref>). This difficulty can be alleviated by using convective allowable scale regional climate modeling (<xref ref-type="bibr" rid="B40">Stratton et al., 2018</xref>), boundary downscaling (<xref ref-type="bibr" rid="B1">Adachi and Tomita, 2020</xref>), RCM coupling (<xref ref-type="bibr" rid="B41">Wang et al., 2016</xref>), and multi-RCM ensemble averaging (<xref ref-type="bibr" rid="B39">S&#x00F8;rland et al., 2021</xref>).</p>
<p>Forest fire dynamics are an important tool for forecasting medium and long-term forest fire danger, and the accuracy of the research results is directly related to the policy designation and effectiveness of local forest management. Based on the results of this study, the direct use of classical RCM still does not fully satisfy the requirements of accurate prediction of forest fire dynamics due to the specificity of terrain and climate. Therefore, only research and construction of RCMs based on the feature data of the study area can meet the requirements. The general steps for developing a suitable RCM are (1) to build an integrated physical model by solving the mathematical equations of a three-dimensional network; (2) add the high-resolution information obtained from the integrated physical model to the GCM to reduce the scale of the coarser horizontal resolution of the GCM; (3) set the boundary conditions based on the interaction between the representative climate system components and their feedback; and, finally, (4) generate comprehensive output for the domain of interest.</p>
</sec>
<sec id="S5" sec-type="data-availability">
<title>Data availability statement</title>
<p>The original contributions presented in this study are included in the article/supplementary material, further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="S6" sec-type="author-contributions">
<title>Author contributions</title>
<p>XD, ZZha, and FZ: conceptualization and writing&#x2014;reviewing and editing. FZ: funding acquisition. XD, ZZhu, and QW: field investigation, experiment, and data analysis. All authors read and agreed to the published version of the manuscript.</p>
</sec>
</body>
<back>
<sec id="S7" sec-type="funding-information">
<title>Funding</title>
<p>This study was financially supported by the National Natural Science Foundation of China (Grant Nos. 32160374 and 31860234), Yunnan Fundamental Research Projects, China (Grant No. 202101AT070045), and the Foundation of Key Laboratory of State Forestry and Grassland Administration on Forestry Ecological Big Data, Southwest Forestry University (Grant No. 2022-BDG-01).</p>
</sec>
<sec id="S8" sec-type="COI-statement">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="S9" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<fn-group>
<fn id="footnote1">
<label>1</label>
<p><ext-link ext-link-type="uri" xlink:href="http://data.cma.cn">http://data.cma.cn</ext-link></p></fn>
</fn-group>
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