Forestry An International Journal of Forest Research Forestry 2013; 86, 411 – 420, doi:10.1093/forestry/cpt011 Advance Access publication 18 April 2013 Analysis of wind damage caused by multiple tropical storm events in Japanese Cryptomeria japonica forests Kana Kamimura1,2*, Satoshi Saito1, Hiroko Kinoshita3, Kenji Kitagawa4, Takanori Uchida5 and Hiromi Mizunaga6 1 Forestry and Forest Products Research Institute, Matsunosato, Tsukuba, Ibaraki 305-8687, Japan 2 Present address: INRA, UR 1263 EPHYSE, F-33140 Villenave d’Ornon, France 3 Kyushu Rinsan Corporation, 815-1 Nakagawa, Yufuincho, Oita 879-5104, Japan 4 The United Graduate School of Agriculture Science, Gifu University, 1-1 Yanagido, Gifu 501-1193, Japan 5 Research Institute for Applied Mechanics (RIAM), Kyushu University, 6-1 Kasugakoen, Kasuga, Fukuoka 816-8580, Japan 6 Faculty of Agriculture, Shizuoka University, 836 Ohya, Suruga-ku, Shizuoka 422-8529, Japan *Corresponding author. Telephone: +33 5 57 12 24 54; Fax: +33 5 57 12 24 20; E-mail: [email protected] Received 8 August 2012 This study analyzed wind damage caused by tropical storms from 1991 to 2007 to Japanese forests mainly consisting of Cryptomeria japonica. Statistical analyses based on logistic regression and Cox regression models were conducted in relation to conditions at the forest and stand level. Known damage to forests managed by Kyusyu Rinsan Corporation (KR forests), located on the Kyushu Island, was analyzed at the forest level, using tropical storm characteristics such as air pressure, precipitation and periods when the forests were within the storm zone as predictors. Wind damage was also examined at the stand level (150 analysis points) using Cox regression models, according to stand age, site index, terrain conditions, management practices and wind velocity indicators (horizontal and vertical velocity vectors). The results indicated that at the forest level, higher maximum hourly wind speed and longer periods of .15 m s21 of wind speed were significantly correlated to damage occurrence. At the stand level, indicators of upward vertical velocity, thinning treatments and site index were positively associated with the probability of wind damage. For instance, stands receiving higher upward vertical velocities and thinning treatment within 2 years were more likely to have reduced stability against tropical storms. Stands with higher and lower site index than average also showed lower stability in our analysis. Introduction Catastrophic wind causes serious environmental and economic damage in the commercial coniferous forests in Japan. From 1990 to 2003, 17.6 million m3 of timber was damaged, resulting in a loss of USD 1.5 –3 billion (Suzuki et al., 2009). Wind damage in Japanese forests is often caused by intense tropical storms, and the location and degree of damage is strongly related to the storm path and intensity. In addition, damage from tropical storms might increase due to climate change because tropical storms (i.e. tropical cyclones) are expected to increase in intensity with stronger winds and heavier rainfall (Oouchi et al., 2006; Yoshimura et al., 2006). Furthermore, global warming might extend the tropical storm season to November, whereas currently it typically ends in October in the western North Pacific (Oouchi et al., 2006). This implies that the critical period when forests are exposed to strong winds and heavy rainfall would be longer than that under the current conditions, and therefore adaptive forest management strategies need to be considered. There have been a number of studies of wind damage in forests based on observations of actual wind damage. Several factors have been found to be correlated with wind damage, including tree species, stand age, stand density, stand height, diameter at breast height (d.b.h.), tree height to d.b.h. ratio (‘slenderness’, h d.b.h.21), crown diameter and weight, soil-water logging, soil depth, elevation and aspect (e.g. Shichiri, 1987; Fukunaga et al., 1993; Valinger et al., 1993; Cameron and Dunham, 1999; Dunham and Cameron, 2000; Ruel, 2000; Dobbertin, 2002; Evans et al., 2007; Chapman et al., 2008). It has also been found that interventions in forests such as thinning can lead to windthrow due to the creation of open spaces in the canopy, allowing wind penetration within stands (e.g. Cremer et al., 1982; Albrecht et al., 2012). A reduction in stem quality caused by breakage has also been found (e.g. Ruel, 2000; Achim et al., 2005; Mitchell, 2012). Understanding site and management factors that increase windthrow susceptibility is important for developing forest management plans that reduce damage risk. However, these previous studies were based on damage caused by only one or two storm events. Peterson (2000) found different damage phenomena caused by two tornadoes for similar forest conditions, and Albrecht et al., (2012) found that contributing factors vary from event to event. Furthermore, it is not clear whether these identified # Institute of Chartered Foresters, 2013. All rights reserved. For Permissions, please e-mail: [email protected]. 411 Forestry factors apply under all forest conditions, in particular in regions receiving strong and unstable wind from tropical storms. This study aims to clarify whether or not there are any specific indicators of wind damage occurrence using observational and climate data related to multiple tropical storm events from 1991 to 2007 in forests dominated by Cryptomeria japonica stands, on Kyushu Island, Japan. In light of the patterns observed, forest management strategies that may reduce the future probability of tropical storm damage in the studied forests are also briefly discussed. Materials and methods Analyses were conducted at two spatial levels, forest and stand, based on available data for the period 1991 –2007 (Figure 1). All available data were integrated into two databases (i.e. a storm track and a stand condition database) using basic stand and meteorological data, geographic information system (GIS), a growth-yield table and a computational fluid dynamics (CFD) model. Statistical analyses were then conducted to determine which indicators were related to damage occurrence. Study site The forests analyzed in this study are located in the town of Yufuin, Oita Prefecture on the island of Kyushu, Japan (Figure 2). These forests, which Figure 1 The procedural flow of database creation and statistical analysis. 412 have an approximate area of 4040 ha, are privately owned by the Kyushu Electric Power Company and managed by its subsidiary company, Kyushu Rinsan Corporation (KR forests). In this paper, the study forests are identified as the KR forests. The KR forests consist mainly of planted commercial coniferous tree species such as C. japonica and Chamaecyparis obtuse, and have suffered tropical storm damage on 13 occasions between 1991 and 2007. Silvicultural management for timber production has been intensively carried out in these forests. The rotation period for harvesting is usually 40 –45 years, with thinning carried out every 5 years between ages 15 and 40. The average ratio of stem removal during each thinning is 18%. Only C. japonica stands were used for analysis in this study because of the high commercial importance of this species in Kyushu and the fact that it occupies most of the planted area. The average elevation is 600 m, with an average temperature of 138C, mean hourly wind speed of 1.6 m s21 and annual precipitation of 1974 mm calculated from meteorological data recorded at the Yufuin Automated Meteorological Data Acquisition System (AMeDAS; 33815′ 14.00′′ N, 131820′ 49.99′′ E; 453 m a.s.l.; 6.5 m of anemometer height) between 1980 and 2011. (This information is available from the Japan Meteorological Agency website at http://www.data.jma.go.jp/ obd/stats/etrn/index.php.) Andosols (also called Andisols) are the main type of soil in the KR forests, as determined from the soil map provided by the Japanese Society of Forest Environment (http://ritchi.ac.affrc.go. jp/Dojouzu.jpg, accessed on 14 January 2012). Andosols are volcanic soils characterized by high permeability and a black-colored surface with ,8% organic matter (Bridges et al., 2002) and are common in forested landscapes in Japan. The organic matter leads to the Analysis of wind damage caused by multiple tropical storm events 10-m height above the mean stand height using the following equation (Okuma et al., 1996): U(z) = U(z1 )∗ (z/z1 )a , Figure 2 Position of the study forests (KR forests) and the tropical storm tracking route in the storm zone (.15 m s21 wind speed predicted) since 1977. According to the tropical storm tracking data, 25.5 storms occurred every year and 3.3 storms hit the KR forests (i.e. the forests within the storm zone) every year. aggregation of soil structure and a high natural water content (Maeda and Soma, 1986). where U(z) denoted the wind speed (m s21) at height z (¼ 23 m), U(z1) the wind speed at anemometer height z1 (¼ 6.5 m) and a the exponent related to roughness length. The AMeDAS station is located in a slightly open area with low shrubs; thus, a ¼ 0.24 was used as the roughness length for calculation (Okuma et al., 1996). The time periods (h) during which the KR forests were within the storm zone were calculated using the eye positions and storm zone data. Precipitation duration and intensity are dependent on tropical storm characteristics. Some tropical storms have longer periods of precipitation and others do not have continuous rain. Kamimura et al. (2012) showed that precipitation immediately before the strongest wind is related to a decrease in root anchorage strength. Yufuin AMeDAS station also provides the cumulative precipitation data over 10-min, hourly, daily, monthly and annual periods. Using the hourly precipitation data, we summed the precipitation recorded for a 6-h period prior to the time of WSmax for comparing the effect of precipitation among tropical storms. The occurrence of damage was determined based on field observations to estimate the percentage of damaged stems at stand-level after catastrophic tropical storms by the foresters of the Kyushu Rinsan Corporation. Preparation of a stand condition and management database Field survey data, information on stand damage and records of management practices (i.e. thinning, pruning, harvesting, planting) were available from 1991 to 2007 (Table 1). In addition to the field survey, data for Preparation of a tropical storm track database The tracking database of tropical storms between 1951 and 2010 is available on the Japan Meteorological Agency website (http://www. jma.go.jp/jma/jma-eng/jma-center/rsmc-hp-pub-eg/trackarchives.html; accessed on 14 January 2012). The database contains all tropical storms having .17 m s21 wind speed near their center. The tracking data consist of the storm identification numbers, storm eye positions (i.e. latitude and longitude), time from tropical storm development to disappearance, central atmospheric pressure, maximum wind speed and wind directions. The data also show two radii of the storm zone. One shows the area receiving a wind speed of .15 m s21 and the other a wind speed .25 m s21 estimated using storm conditions such as air pressure. The eye of the storm was plotted using a GIS with storm zone digital data (Figure 2). A steel tower (33810′ 42.96′′ N, 131816′ 10.92′′ E) was used to represent the whole of the KR forests for the forest level analysis. If the lower storm zone (.15 m s21) for a given tropical storm touched the representative point, the storm was considered to have affected (although not necessary have caused damage in) the KR forests. From 1991 to 2007 when the wind damage data are available, the KR forests were part of the storm zone (.15 m s21) for 69 tropical storms and 13 damage events were observed. The tower also records wind speed and direction, but the wind data were not used for the analysis of forest damage in this study due to some missing storm data. The position was also used to calculate relative wind speed velocity for the analysis points. Wind climate data for the KR forests were added to the tropical storm track database. The weather conditions, including 10-min mean wind speeds, directions, precipitation and temperature, were recorded at the Yufuin AMeDAS station (10 km in northeast from the representative point). The maximum hourly wind speed (WSmax) at the station was extracted from every tropical storm event from 1977 to 2010. The wind speed was adjusted to a height of 23 m (WSmax23) which was Table 1 Available stand data from 1991 to 2007 and tropical storms numbers leading to damage in the KR forests Year 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 Typhoon no. causing damage Survey1 19 10 7, 13 Management record2 Yes Yes Yes Yes 18 16, 18, 21, 23 14 10 4, 5 Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes 1 Stand survey consisted on tree height and diameter at breast height (d.b.h.) for all trees in the managed forests. It took 3 years (1994– 1996) to complete the survey. 2 Forestry management records contain silvicultural activities such as harvesting, thinning and pruning with the information of the number of target trees, its tree height and d.b.h. 413 Forestry single trees including tree height and d.b.h. were also collected before undertaking the management actions such as thinning and harvesting. As several kinds of data were missing for economic and technical reasons, only reliable stand data consisting of age and stem height, were selected. A growth and yield table of C. japonica, used for the KR forests and originally created by Oita Prefecture, was applied to provide the missing stand condition information. Based on the stand height at a reference age of 40 years, this table has data for five site classes by site index (SI); SI 1 (23 m), 2 (21 m), 3 (18 m), 4 (16 m) and 5 (13 m). As there is no detailed information on SI and limited information on other stand characteristics for these study sites, the SI of stands within the KR forests was determined using available tree height and age data. Several stands were not included for the analysis when information was insufficient for SI estimation, or when including trees of multiple ages in a stand. As a result, 21 subcompartments (984.8 ha) were selected for this study. Subsequently, analysis points were plotted at 50-m intervals over the study areas in stands with reliable data, giving a total of 150 analysis points (Figure 3). Although some farmland divides the study areas, the analysis points were all used for analysis, because no change in land use occurred over the time of the study. The elevation (m), slope (8) and aspect (8 directions) at each analysis point were determined based on a digital elevation model (DEM, 10 m× 10 m resolution) using the ArcGIS Data Collection Premium Series for Oita Prefecture (ESRI Japan Co., Tokyo, Japan). The relative number of grid cells (10 m×10 m) contributing the rainwater flow to the sample point was also calculated to identify areas of high water accumulation. Each grid cell contained the sum of the number of the neighboring grid cells providing the water flow to the cell was calculated using the flow direction based on a surface elevation model (Kennedy, 2006). For instance, if the aspect of grid cell A is southerly, rain water in cell A will flow to the adjacent grid cell B. If no other cells have water flowing into grid cell B, the water accumulation score (i.e. sum of the number of grid cells) of cell B is 1. The distance from the forest edge formed from harvested stands (including stands having trees ,5 years old), logging roads, farm lands and several structures, such as the steel tower, was also estimated using DEM. The distance from nearby roads, existing and newly constructed (including logging roads), was Figure 3 Damaged area from 1991 to 2007 and the 150 analysis points in the subcompartments analyzed in this study. 414 Analysis of wind damage caused by multiple tropical storm events previously digitized and the distance between the analysis points and the roads computed. The airflow condition above the KR forests was estimated using a CFD model, RIAM-COMAPCT (Uchida and Ohya, 2003). This model calculates three-dimensional velocity vectors at given positions in the vertical, parallel and orthogonal directions relative to the flow streamlines based on large eddy simulation and direct simulation using a finite difference method. In this study, RIAM-COMAPCT was used to calculate the mean horizontal and vertical velocities at an approximate height of 23 m using 100 m×100 m grid data for north, northeast, east, southeast, southwest and west, which were the wind direction observed during the tropical storms causing damage from 1991 to 2007. The horizontal and vertical velocities were individually used to represent the wind condition. The estimated velocities for each wind direction were generalized by dividing by the equivalent velocity at the representative point (a steel tower) and summed for all directions. The velocities for each direction were given equal weighting because there was insufficient wind climatologically data to indicate the relative probabilities. Consequently, three kinds of wind indicators were calculated at each of the 150 analysis points: horizontal wind (Wh), upward wind (Wup) and downward wind (Wdown) indicators. Finally, the analysis points were overlaid with the stand, terrain and airflow information. In addition, the distances from the roads and open areas were averaged to create single indices over 17 years for analysis. Each point also had associated stand conditions such as damage occurrence (DApoints), stand age (AGE) in 1991 (the baseline year), SI, mean distances from roads (Droad) and distance from the nearest open area (i.e. forest edge; Dopen) for the observational period, occurrence of thinning (THIN) and/or pruning (PRUN) treatments in the same year or the year before damage, terrain conditions including elevation (ELEV), slope (SLOPE) and aspect (ASPECT) and airflow information (Wh, Wup and Wdown). Finally, years from the baseline year (1991) to the date of damage or harvesting events were added to the database. If no disturbance events happened at the analysis points, then a value of 17 years was used (Table 2). WSmax (WD), path of tropical storm eye position in west of east of the KR forests (EP), the period of rainfall before WSmax was recorded (Train), 6 h of cumulative precipitation before WSmax was recorded (P6), the period that the KR forests were within the 25 m s21 area of the storm zone (T25), the period that the KR forests were within the 15 m s21 area of the storm zone (T15), the period of .10 m s21 wind recorded (Tws10) and atmospheric pressure at WSmax (PRE). No inter-correlation was found among the predictor variables. Then, the expected probability of tropical storm damage at the forest level (Pts) over the 17-year study period was described by using a logit transformation as follows: logit(Pts ) = b0 + b1 x1 + b2 x2 + · · · + bn xn , where x denotes predictor variables such as tropical storm characteristics, terrain conditions, stand characteristics, and management experience and b denotes coefficients with n covariates used for both analyses. To fit the logistic regression models in this study, maximum likelihood estimation was applied for maximizing probability by choosing the proper variables (Hosmer and Lemeshow, 2000), and the forward method was used to objectively select those variables. For the analysis at stand-level, the Cox regression model (Cox, 1972), which is one of the logistic regression models, was used to find specific indicators and damage probability instead of applying a general logistic regression procedure. Tango et al. (1996) pointed out that the results from logistic regression might be problematic in cases where the information contained censored data (e.g. varying time periods for individual data points). Our data also included censored data due to damage or harvesting during the study period. In other words, the overall risk of damage for forest management might be different depending on how long the stands remained without being harvested, in addition to the stand conditions. When t denotes the time to an event from the baseline year (regarding damage occurrence, harvesting or some stands remaining without harvesting or damage until the end of the observation period), the hazard function l(t, x) for the occurrence of damage during the 17-year period is expressed as follows: l(t, x) = l0 (t) exp(b1 x1 + b2 x2 + · · · + bn xn ), Statistical analysis Two logistic regression analyses were conducted for the two scales, and the dependent variables were tested to avoid strong inter-correlation within the variables before creating regression models. Any predictor variables having .0.7 of bivariate correlation were removed from further analyses (e.g. Pallant, 2010). For the tropical storm track data, logistic regression analysis was conducted to identify the significant indicators leading to wind damage in the KR forests. Damage occurrence caused by storms in the KR forests (DAall) was the dependent variable and predictor variables included storm attributes: WSmax23, wind direction at where, l0(t) is the baseline hazard function related to t. More specifically, the dependent variables were DApoints and the time period of data, and the predictor variables were terrain conditions, stand characteristics, management practices and airflow characteristics, specifically: ELEV, SLOPE, ASPECT, accumulated water flow index (FLOW), AGE, Dopen, Droad, SI, THIN, PRUN, Wh, Wup and Wdown. Stand height was not used in this analysis because it was inter-correlated to SI (Table 3). In addition, positive prediction values were calculated as the number of analysis points for which damage was correctly predicted divided by the total number of analysis points with predicted damage. This shows Table 2 Mean of stand and terrain characteristics of the 150 analysis plots Characteristics Stand age (year) Stand height (m) Site index (class 1 to 5) Slope (8) Elevation (m) Distance from roads (m) Distance from open area (m) All Undamaged Damaged n Mean SD n Mean SD n Mean SD 150 150 150 150 150 150 150 38.5 16.4 3.1 16.2 909.5 58.6 205.9 13.9 4.7 0.8 7.9 104.6 37.8 89.1 93 93 93 93 93 93 93 40.2 16.8 3.0 16.3 909.0 63.5 203.3 12.2 3.8 0.6 8.1 103.9 40.0 78.6 57 57 57 57 57 57 57 35.6 15.8 3.5 15.9 910.4 50.8 210.2 16.1 5.8 2.8 7.5 106.7 32.7 104.7 415 Forestry Table 3 Abbreviations (variables) with the description used in this paper Group Abbreviation Description Codes/values Type1 Failure DAall 0 ¼ No, 1 ¼ Yes ca 0 ¼ No, 1 ¼ Yes ca WSmax23 WD Damage occurrence at the representative point in the KR forests from 1991 to 2007 Damage occurrence at the representative point in the KR forests from 1991 to 2007 Max hourly wind speed (WSmax) at 23m height Wind direction of the WSmax co ca EP Train P6 T25 T15 TWS10 PRE ELEV SLOPE ASPECT Tropical storm eye position toward the KR forests at the max WS Periods of raining before the WSmax recorded Cumulative precipitation for 6-h at the WSmax recorded Periods of the KR forests within the 25 m s21 storm area Periods of the KR forests within the 15 m s21 storm area Periods with more than 10 m s21 wind speed Atmospheric pressure at the WSmax recorded Elevation (above sea level) Slope Slope aspect FLOW AGE Dopen Droad SI Number of cells of accumulated water flow Stand age Mean distance from the open area Mean distance from the roads Site index THIN Thinning at the same or the previous year of the damage occurrence Pruning at the same or the previous year of the damage occurrence Normalized horizontal wind velocity vector Normalized upward velocity vector Normalized downward velocity vector (m s21) 1 ¼ North, 2 ¼ Northeast, 3 ¼ East, 4 ¼ Southeast, 5 ¼ South, 6 ¼ Southwest, 7 ¼ West, 8 ¼ Northwest 1 ¼ East, 2 ¼ West Precipitation (mm) Precipitation (mm) Time (h) Time (h) Time (h) Pressure (hP) (m) Degree (m) 1 ¼ North, 2 ¼ Northeast, 3 ¼ East, 4 ¼ Southeast, 5 ¼ South, 6 ¼ Southwest, 7 ¼ West, 8 ¼ Northwest Unit less (year) (m) (m) 1 ¼ 23 m, 2 ¼ 21 m, 3 ¼ 18 m, 4 ¼ 16 m, 5 ¼ 13 m of stand height at 40-year old 0 ¼ No, 1 ¼ Yes DApoint Tropical storm phenomenon Terrain condition Stand characteristics and managements Airflow characteristics 1 PRUN Wh Wup Wdown 1 ¼ No, 0 ¼ Yes Unit less Unit less Unit less ca co co co co co co co co co co co co co ca ca ca co co co Variable types indicates that ‘co’ is continuous and ‘ca’ is categorical variable. the percentage of cases that the model correctly selects damaged points (Pallant, 2010). ArcGIS9.3 (ESRI Co., Redlands, USA) and PASW Statistics 18.0 (IBM, Inc., New York, USA) were used to prepare all data, and to conduct statistical analysis, respectively. Results Forest-level analysis with tropical storm track database WSmax23, T25 and T15 were positively related to the occurrence of damage (P , 0.05; Table 4), indicating that, as expected, the forests which received stronger maximum hourly wind speeds over a longer period within the storm zone were more likely to suffer damage. The model correctly predicted damage in 61.5% of the damaged stands (analysis points). Between 1991 416 and 2010, there were 13 tropical storms (red and green dots in Figure 4) that had a predicted damage occurrence probability of .50% in the KR forests (i.e. at the representative point) and eight tropical storms (red dots) which actually produced damage. Most tropical storms not leading to damage had predicted probabilities of ,20%. Tropical storms having .50% of the probability of damage occurrence increased in number in each decade over the study period (two damaging tropical storms in the 1980s, five in the 1990s and eight in the 2000s). Stand-level analysis with forest condition and management database The Cox regression model determined that SI, THIN and WSup were associated with higher damage probabilities (Table 5). Analysis of wind damage caused by multiple tropical storm events Table 4 Significant indicators (P , 0.05) with regression coefficients as the result of logistic regression analysis of tropical storm track Table 5 Indicators (P , 0.05) with regression coefficients as the result of the Cox regression analysis for 17-year period Variables Regression coefficient WSmax23 T25 T15 0.201 0.153 0.049 SE Sig. Variables Regression coefficient 0.096 0.074 0.022 0.037 0.039 0.027 SI1 SI (2) SI (3) SI (4) SI (5) THIN Wup 20.521 21.316 21.935 0.883 0.844 5.981 Constant is 26.436. SE Sig. 0.655 0.572 0.827 0.634 0.333 2.694 0.000 0.426 0.022 0.019 0.164 0.011 0.026 1 SI (1) was selected as the baseline category for setting the dummy variables. Figure 4 Predicted probability of damage due to tropical storm events from 1977 to 2010 (n ¼ 114) based on maximum hourly wind speed and periods within the storm zones. Damage data of the KR forests were available from 1991 to 2007 (n ¼ 71). Stands with SIs 2 –4 were more likely to be stable against tropical storms than other stands, whereas those with SI 5 seemed to be susceptible. Newly thinned stands were more likely to be associated with a high probability of damage occurrence. In addition, higher upward wind velocity led to damage in the KR forests. Figure 5 shows the cumulative hazard function over 17 years. Stands with SIs of 2, 3 and 4 had a lower probability of damage, whereas those with SIs of 1 and 5 had an increased probability of damage with the management. Discussion Predictors at the forest level Tropical storms with the highest maximum hourly wind speeds and longest periods of strong wind most commonly caused damage to the KR forests. The frequency of such tropical storm Figure 5 Cumulative hazard function depending on the yield classes from 1991 to 2007. events has increased over the past 30 years (Figure 4), thereby increasing the probability of damage. This trend is in agreement with a broader analysis of tropical cyclones from 1975 to 2005, which showed higher intensity and longer duration compared with previous periods, partly due to rising sea temperatures (Emanuel, 2005). On the other hand, some tropical storm events, such as tropical storms 2003-10, 2006-13 and 2007-5, did not directly lead to damage in our study area, even though the predicted probabilities were slightly higher. In comparing the tropical storms that did or did not lead to damage in the KR forests, characteristics such as wind direction, precipitation and season did not vary significantly between these groups. It is difficult to fully explain why tropical storms with strong wind do not always lead to damage and why those with moderate wind sometimes cause damage. Nevertheless, several plausible reasons can be proposed. Tropical storms 2006-13 and 2007-5 417 Forestry may not have led to damage, because severe damage to vulnerable stands had already occurred in the previous years (i.e. 2004 and 2005). Tropical storm 1991-12 caused damage at low hourly mean wind speeds (12 m s21 observed at the Yufuin AMeDAS), and this may been because this tropical storm had a very long duration in the KR forests (93 h with wind speed of 15 m s21). This was the longest period among the tropical storm analyzed in this study. Previous studies have showed a relationship between stem swaying and mechanical phenomena of tree. A longer period of tree swaying during a tropical storm could lead to a progressive decrease in the anchorage of the soil – root plate (e.g. Coutts, 1986; O’sullivan and Ritchie, 1993; Ray and Nicoll, 1998). O’Sullivan and Ritchie (1993) also found that anchorage was reduced by 25% due to repeated loading of a stem. Regarding the other predictors of damage, we previously postulated that the amount of precipitation and its duration were also strongly linked to the occurrence of damage, as the water content in the soil would reduce the stability of the root–soil plate (Kamimura et al., 2012). However, we found no direct relation with precipitation in the KR forests. It is not clear how many hours of precipitation should be included as an indicator of precipitation intensity, and this requires further investigation. Precipitation may also be a secondary predictor when compared with the main predictors (i.e. strong winds, long periods of oscillation). Nevertheless, heavy rainfall should be included in future studies of forest damage because the intensity of heavy rainfall and/or interaction of wind and rainfall can trigger other destructive events in the forest, particularly landslides (Larsen and Simon, 1993; Guthrie et al., 2010). Further investigation is required to clarify the relationship between wind damage and precipitation and to better understand the mechanics of tropical storm damage. Previous observations of damage in the KR forests caused by the tropical storms 1991-17 and 1991-19 revealed that the slope aspect (southwest) was a key predictor of damage due to wind direction (Fukunaga et al., 1993; Kaga, 1995). In addition, several empirical studies found the slope aspect as an indicator of wind damage occurrence caused by a single storm event (e.g. Boose et al., 1994; Kupfer et al., 2008). However, we found no significant relationship between wind direction and the occurrence of damage, presumably because wind directions change within and during each storm event. Our results confirm that caution is necessary when evaluating predictive factors using single event data sets. Predictors at the stand level At the stand level, two significant predictors, Wup and SI, were found. Wup had a positive regression coefficient (a greater probability of wind damage could be expected with increasing Wup). It was surprising that horizontal velocity vectors were not selected as a predictor. However, terrain conditions in the KR forests are complex, and variable wind velocities (including separation bubbles) are expected such terrain (e.g. Finnigan and Brunet, 1995). Active turbulence events initiated by surface heterogeneities enhance vertical rather than stream-wise wind velocity (Fesquet et al., 2009). Uchida et al. (2010) simulated temporal and spatial conditions of tropical storm 2004-18 using RIAM-COMPACT and a meso-scale climate model with 418 Table 6. Averaged characteristics of tree at 1991 and wind velocity vectors based on the site index SI n Age Tree height (m) Elev. (m) Slope (8) Wh Wup Wdown 1 2 3 4 5 33 59 38 24 38 0.16 0.12 0.14 0.25 0.09 0.01 0.04 0.03 0.09 0.03 6 18 96 19 11 21.8 23.6 16.7 9.8 10.7 719.0 865.5 896.8 1003.0 1035.4 17.6 13.8 15.5 26.1 8.0 1.88 1.66 2.06 1.82 1.89 detailed surface digital data and meteorological information in the KR forests. They found that the stands were damaged not only by the strength of wind enhanced by terrain conditions, but also by the fluctuations in the wind velocity. Tropical storms typically generate winds from several directions over a short term, and the direction at a given location and time is strongly dependent on the tropical storm’s path. With regard to SI, our results showed that the stands with SIs of 2, 3 and 4 were more likely to be stable in a tropical storm than those with SIs of 1 and 5, although differences of age and tree height need to be carefully considered (Table 6). Although it is difficult to explain the effect of SI in this study, high damage probability in the stand with SI 1 might be due to fast height growth compared with diameter growth (e.g. Gardiner et al., 1997; Cucchi et al., 2005). We also found that stands with SI 5 showed the least stability of all stands. Stands with SI 5 were located on higher elevations than other stands. Soil water content tends to be lower on higher slope positions, and this likely contributes to lower productivity of C. japonica (Tsurita, 2008; Karisumi, 2010). One might also expect these sites to be more wind exposed, although little difference in wind velocity vectors was found between the stands (Table 6). Thinning treatments in the KR forests over the 17-year period reduced the stability against tropical storms. This finding is in good agreement with previous studies (e.g. Cremer et al., 1982; Gardiner et al., 1997; Albrecht et al., 2012). However, it is not clear how the number and timing of thinning treatments should be accounted for in the wind damage analysis. As a thinning indicator, we used whether there was thinning or not in the same or 1 year before the damage occurred. Kitagawa et al. (2010) suggested that thinning could improve stand stability, yet only after a period of time when increased stem diameter growth was sufficient to provide enhanced support. Although recent thinnings are more likely to be associated with damage occurrence, positive effects from thinning need to be considered in the longer term. Conclusions This paper describes the relationship between tropical storms, stand characteristics and the occurrence of damage in C. japonica forests –for multiple storm events. Based on our findings, two recommendations can be made for managing the KR forests to minimize the damage risk from frequent tropical storms. First, it is better to use short rotation periods and/or limited thinning for C. japonica in areas where they would be exposed to strong vertical wind velocities during tropical Analysis of wind damage caused by multiple tropical storm events storms. Second, because we found that the stands with SI 1 have lower stability, certain management strategies need to be considered for timber production on these highly productive sites. For instance, a shorter rotation and limited thinning treatments would be preferable level to reduce the probability of long-term damage, although it may reduce the timber supply. In addition, when trees are planted on site with highprobability of damage, lower planting densities with no subsequent thinning, or thinning stands only at a younger ages should be considered. This study used limited data and its accuracy was not always certain because these forests were not intended for experimental purposes. In addition, our analysis was based on data over only 17 years, although there was a high frequency of tropical storms during this period. More data, including detailed stand data and historical information for longer periods, would thus be necessary to fully understand the indicators for, and mechanisms of wind damage from tropical storms. Acknowledgements We are grateful to managers and foresters in Kyushu Rinsan Corporation, who made a great effort of field observations of tropical storm damage and supported our field experiments. 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