Rainband feature tracking for wind speeds around typhoon eyes
Transcription
Rainband feature tracking for wind speeds around typhoon eyes
International Journal of Remote Sensing, 2016 http://dx.doi.org/10.1080/01431161.2016.1142690 Rainband feature tracking for wind speeds around typhoon eyes using multiple sensors Shuangyan Hea,b, Antony K. Liua,b, Cheng-Ku Yuc, Zhiguo Heb*, Jingsong Yanga,b, Gang Zhenga, and Ying Chenc a State Key Laboratory of Satellite Ocean Environment Dynamics, Second Institute of Oceanography, State Oceanic Administration, Hangzhou 310012, China; bOcean College, Zhejiang University, Hangzhou 310058, China; cDepartment of Atmospheric Sciences, National Taiwan University, Taipei 10617, Taiwan International Journal of Remote Sensing (Received 30 December 2014; accepted 5 January 2016) In this article, five typhoon cases observed by quasi-concurrent satellite-based synthetic aperture radar (SAR) and Moderate Resolution Imaging Spectroradiometer (MODIS) were studied with a feature-tracking technique. The rainband features around typhoon eyes were first delineated using wavelet analysis, and then the wind speeds were estimated by feature tracking using quasi-concurrent multi-sensor images. It was found that the feature tracking-estimated wind speeds are reasonable compared with the maximum wind speed reported by the Joint Typhoon Warning Center (JTWC), which accounts for the radial dependence of wind speed using the Rankine combined vortex approximation. In a specific case, with the aid of Doppler radar observations near the northern coast of Taiwan, wind speed estimation based on the multi-sensor also shows consistent results. This study demonstrates that the local wind distribution of cyclonic winds around typhoon eyes at different radial distances from the typhoon centres may be derived from rainband feature tracking using quasiconcurrent multi-sensor images. This technique may offer useful wind information for typhoon simulations and forecasting. 1. Introduction The feasibility of the wavelet tracking technique using multiple satellite sensors to retrieve typhoon characteristics has received justifiable attention (Cheng et al. 2012; Liu et al. 2014). Several recent articles have reported interesting findings regarding the tracking of the typhoon eye using multi-sensor images. For example, with the use of infrared (IR) images from the Multi-functional Transport Satellite (MTSAT) and synthetic aperture radar (SAR) data from Radarsat, Cheng et al. (2012) documented that the horizontal distances between typhoon eyes at the cloud top and on the ocean surface are significantly large. Pan et al. (2013) further examined typhoons in the western North Pacific from 2005 to 2011 using Envisat ASAR, MTSAT, and Feng-Yun (FY)-2 IR images. They pointed out that the characteristics of vertical wind shear associated with typhoons might be much more complicated than expected due to a large core tilt of the eyewall. In addition to the above studies, another important satellite application is improvement in the estimation of typhoon intensity over the open ocean using multisensor observations (Liu et al. 2014). However, retrieving oceanic winds from satellite sensors is highly challenging and its reliability is usually hampered by a wide variety of *Corresponding author. Email: hezhiguo@zju.edu.cn © 2016 Taylor & Francis International Journal of Remote Sensing 2 S. He et al. inherent uncertainties and precipitation effects (Bentamy et al. 2012; Weissman et al. 2012; Chou, Wu, and Lin 2013). A general consensus is that a sensor used for the study of typhoon intensity should be one which directly measures wind field. However, no direct measurements of surface winds are currently available except those by aircraft, at high cost. SAR images with high spatial resolution ranging from tens to hundreds of metres are considered as one of the best alternatives. These measure surface roughness inferred from the radar backscattering of capillary waves on the ocean surface (Liu et al. 2014). Roughness increases with wind intensity, and the kinematic retrieval of typhoons requires a suitable geophysical model function under high wind speeds (Brown 2000; Monaldo and Beal 2004). Unfortunately, this kind of model, with satisfactory accuracy, is still not available (Li et al. 2013; Liu et al. 2014). Therefore, tracking and monitoring of ocean features, which have short coherent time periods, from sequential satellite images such as geostationary or polar-orbit satellites, is a good option to estimate the extreme wind speeds associated with typhoons. It should be noted that this requires that the images have very high spatial resolution and short temporal sampling intervals. Liu and Hsu (2009) presented a new multi-sensor approach to overcome the long temporal sampling interval associated with a single SAR sensor while taking advantage of high-spatial resolution SAR images for ocean feature tracking, to reveal surface drift. In our study, following the SAR data, sequential Moderate Resolution Imaging Spectroradiometer (MODIS) images and Doppler radar images (if available near the coast of Taiwan) were used to track a typhoon eye and its surrounding rainband features to estimate near-surface wind speeds. Outside the eyewall region, rainbands are one of the most striking and persistent features of tropical cyclones (Wexler 1947; Senn and Hiser 1959; Willoughby, Marks, and Feinberg 1984; Gall, Tuttle, and Hildebrand 1998; Cecil, Zipser, and Nesbitt 2002; Yu and Cheng 2008; Houze 2010; Yu and Tsai 2010; Yu and Chen 2011; Yu and Tsai 2013; Yu and Cheng 2013). Rainband features can usually be found in the inner and outer regions of a tropical cyclone (Anthes 1982; Wang 2009; Houze 2010; Yu and Chen 2011). A radar reflectivity threshold is commonly adopted to delineate the edge of tropical cyclone rainbands (TCRs) (Jorgensen and Willis 1982; Barnes et al. 1983; Barnes and Stossmeister 1986; Yu and Chen 2011) for a better definition of the rainband envelope. The axis of the rainband is considered the central point between the outer and inner edges. Rainband-related features around typhoon eyes derived from SAR images are characterized by a smooth area with low surface roughness, which is similar to the raincells in SAR images (Atlas 1994a, 1994b; Atlas and Black 1994; Alpers and Melsheimer 2004; Hsu et al. 2010). Over the ocean, SAR measures signals from roughness components of approximately similar wavelength or scale to SAR. The roughness components represent wind-generated short waves that range from capillary to short gravity waves. The strong downdraft associated with rainbands may produce turbulent mixing in the upper water layer, which attenuates short waves on the ocean surface and reveals a micro-scale smooth surface (Nystuen 1990; Tsimplis 1992). On a SAR-derived image in greyscale, the rougher areas (usually with stronger short waves) appear as brighter pixels and the smoother areas (usually calm surfaces) as darker pixels. Hence, the rainband may be shown as a dark band on the SAR image. The smooth ocean surface (darker area) within the range of typhoon influence (usually rough surface, bright-pixel area) on SAR imagery has been studied extensively. After we observed and compared the SAR images to Vis imagery in our study, we determined that the smoother areas in the International Journal of Remote Sensing International Journal of Remote Sensing 3 former correspond to the less cloudy areas (darker areas as opposed to ambient bright areas) in the latter. Thus, for a visible channel of MODIS, the rainband may be revealed as a less cloudy band due to the downdraft of the raincells. Note that SAR observes sea surface roughness while MODIS observes clouds at the top of typhoons (at a height of about 10–15 km) by using Vis bands. The tracking of rainbands over the ocean surface is made possible by coastal Doppler radar (e.g. Yu and Tsai 2010), although typhoon rainbands are highly dynamic and do not necessarily follow cyclonic winds (Anthes 1982). It should be noted that it is important to confirm that the features we track are the same on multi-sensor images but at different altitudes. However, the identification of rainband features is difficult since they are very dynamic. At present, we judge those features mainly based on our expertise. In fact, if the same features can be observed on different images obtained from different sensors, their shapes and locations may not be exactly the same but should be similar even though they were sensed based on different principles. If they occur in a similar location at a similar time, we assume that they are the same features. This issue deserves further investigation in the future using multisensor data and cloud modelling. Since kinematic retrieval under conditions of extreme wind is currently an unresolved and challenging issue, this study proposes a new approach to estimation of wind speeds around typhoon eyes by multi-sensors, in an attempt to enhance the capability of typhoon monitoring and forecasting. Moreover, a unique aspect of this study is to track rainband features based on two or three different types of sensor, in contrast to previous typhoon feature-tracking studies using the same sensors from different satellites (Dvorak 1975; Hasler et al. 1998; Wu, Chou, and Cheng 2003; Piñeros, Ritchie, and Tyo 2008). The demonstration and relevant results presented below may provide a new possibility for future applications of multiple sensors and data fusion. 2. Data and approach Accurate wind speeds around a typhoon eye are very difficult to measure and track directly, and this has long been an unresolved issue. In this study, we attempt to estimate the wind speed (at different radial distances from the typhoon centre) by tracking the rainband features around the typhoon eye using quasi-concurrent Envisat ASAR (Advance SAR with 150 m resolution, at the C-band, 5.331 GHz) and MODIS images, as well as by ground-based Doppler radar observations. MODIS Band 1 (at 645 nm, visible) data with a spatial resolution of 250 m are used for all typhoon cases studied here. The rainband features are first subjectively selected visually and then delineated using wavelet analysis of the quasi-concurrent images. Wavelet analysis has been widely used in feature extraction from SAR imagery (Du and Vachon 2003; Jin, Wang, and Li 2014). Wavelet transforms are analogous to Fourier transforms but are localized both in frequency and time, for example, as used with internal tide data (Wang, Chern, and Liu 2000). A two-dimensional wavelet transform is a highly efficient band-pass data filter which can be used to separate various scales of process, such as that used in a sea-ice study by Liu, Martin, and Kwok (1997). For effective identification and tracking of common features in a pair of chosen images, a two-dimensional Mexican-hat wavelet transform is applied to the images with several spatial scales corresponding to the extracted features. The detailed procedure and flow chart of the wavelet International Journal of Remote Sensing 4 S. He et al. transform-based tracking method have been reported in many published works and are summarized in one chapter of a book written on wavelet analysis of satellite images in marine applications (Liu, Wu, and Zhao 2003). In this study, sequential images from SAR, MODIS, and ground-based Doppler radar with a short separation time are used for analysis of feature tracking. Based on our limited observations, we usually select rainband-like features with a length of 50 km or so, but less than 100 km. In this study, we first consider the selection of a relatively stable, common feature for both MODIS and ASAR within a short time interval. The time interval is limited to within the typhoon rotation period (usually less than one hour), and the shorter the better. If the feature is too big or too small, and/or the time interval is too long, it may change too much in terms of the shape and the distance to the typhoon centre during the rotation interval, and so the radius and rotation angle cannot be determined accurately. Under these conditions, the reliability of our wind estimation would probably be reduced. In view of this, in this study we use only a representative part of a rainband (instead of the entire rainband) for feature tracking, which is more easily identified simultaneously from multi-sensor images. The rainband features around typhoon eyes are first delineated by wavelet analysis and the skeleton of the elongated rainband feature and its centre location are derived. Then, based on the information from the overlaying of the ASAR and MODIS/radar images at the eye location, the rotation angles and radius of these features are determined. The radius is defined as the distance between the typhoon centre and the skeleton centre of the delineated features. The moving speed of each feature can be estimated by dividing the rotated arc distance by the time difference. The procedure is further elaborated in Case 3.1. It should be noted that, for a given rainband feature, the radius near the sea surface can be estimated from SAR data, while at the cloud top from MODIS data. Experience indicates that a difference in the radius between SAR and MODIS usually occurs, and this discrepancy may result from a number of factors, such as the inward/outward propagation (with respect to the typhoon centre) and/or the inherent vertical tilt of the selected rainband features. In view of this uncertainty, both radii from SAR and MODIS are used for calculation, giving a range of wind estimates for each selected feature at different altitudes. Finally, the estimated wind speeds are compared to the Joint Typhoon Warning Center (JTWC) wind data and/ or Doppler radar data for evaluation. 3. Case studies Five typhoon cases observed by quasi-concurrent SAR and MODIS, and one of these by quasi-concurrent ground-based Doppler radar, were collected for study, as summarized in Table 1. The typhoon name, date and acquisition times (in UTC), time difference, eye separation distance, and linear moving speed of the typhoon eyes for ASAR, MODIS, and Doppler radar data are listed for reference. It should be noted that the typhoon eyes were observed on the sea surface by SAR, in the troposphere above the sea surface by Doppler radar (Dradar), and at the cloud top by MODIS. These ‘eyes’ acquired from multi-sensors were identified at different heights, and therefore the estimation of eye transition speed might not be the real movement speed for typhoons, but are merely used here for the purpose of checking consistency. International Journal of Remote Sensing Table 1. radar. Summary of five typhoon cases observed by SAR, MODIS, and ground-based Doppler Time Eye difference distance Time (UTC) No. 5 Typhoon Case 1 Talim Case 2 Khanun Case 3 Sinlaku Case 4 Aere Date 30 August 2005 11 September 2005 10 September 2008 25 August 2004 (minutes) (km) (m s−1) 01:24:59 02:01:14 01:46:24 02:24:10 36.25 37.77 5.893 7.587 2.710 3.348 01:33:56 02:33:36 59.67 13.830 3.863 20.10 5.43 80.35 9.732 5.628 39.378 8.070 17.260 8.168 ASAR MODIS Dradar 01:52:43 02:12:49 01:58:09 Case 5 Matsa 4 August 2005 Eye speed 01:41:46 03:02:07 International Journal of Remote Sensing 3.1. Typhoon Talim (2005) The rainband feature tracking for Typhoon Talim on 30 August 2005 is first selected for demonstration, as shown in Figure 1. The eyewall for this case was not very clearly identified as a perfect circle (i.e. it was asymmetric) because on 30 August it was still building in strength as a category 2 storm with a maximum wind speed of 35 m s−1. Hence, we first delineated the typhoon eye using the wavelet method, and then calculated the barycentre of the delineations as the typhoon eye’s centres, labelled as ‘O’ and ‘O’’ for ASAR and MODIS imagery in Figures 1(a) and 1(b), respectively. Two rainbandrelated features around the typhoon eye were selected and delineated by wavelet analysis for ASAR and MODIS images, as shown in red in Figures 1(a) and 1(b), respectively. Their skeletons are further derived as shown in green in Figures 1(a) and 1(b), respectively. To obtain an appropriate reference point to monitor the movement of each rainband feature, we calculate the centre locations of the skeletons, labelled as ‘A’, ‘B’ for ASAR and “A’’, ‘B’’ for MODIS imagery in Figures 1(a) and 1(b). Thus, ‘OA’ and ‘OB’ (‘O’A’’ and ‘O’B’’), are the radii of rainband features derived from ASAR (MODIS) imagery, which refer to the distances between the typhoon centre and the skeleton centre of the delineated features. The overlay of these two features at the typhoon centre on the Figure 1. Typhoon Talim on 30 August 2005, with two selected features on (a) ASAR, and (b) MODIS images delineated by wavelet analysis, and (c) the overlay of feature skeletons for features 1 and 2. In (c), ASAR (MODIS) features and radius are indicated in blue (green). The domain size is 256 km × 256 km. International Journal of Remote Sensing 6 S. He et al. ASAR image is shown in Figure 1(c), with ASAR (MODIS) features and radius indicated in blue (green). Rotation angles of 65.4° (AOA’, or AO’A’) and 80.8° (BOB’, or BO’B’) are found for features 1 and 2, respectively. As described in section 2, the arc distance can be determined by the angle (AOA’ for feature 1, BOB’ for feature 2) multiplied by the radius of these features (OA or OA’ for feature 1 on ASAR or MODIS imagery, OB or OB’ for feature 2). The wind speed around each feature can be estimated by dividing the rotated arc distance by the time difference (36.25 minutes). For feature 1, the wind speeds are estimated to be 52.23 and 44.43 m s−1 when using the radii (OA and OA’) from SAR and MODIS, respectively. For feature 2, the calculated wind speeds are 60.75 and 44.18 m s−1, respectively. The maximum wind speed (MWS) associated with this typhoon reported by JTWC is approximately 64 m s−1. As shown in Table 2, the radius of maximum winds (RMW) from JTWC is about 28 km, which is much smaller than that of the two rainband features. The wind speed decreases gradually with radius, following roughly an (r/ RMW)−α decay law (the Rankine combined vortex approximation, r being the radius of a rainband feature in this study), where α ≈ 0.5 (Depperman 1947; Miller 1967; Anthes 1982). Thus the wind speeds at A and B (A’ and B’) where tracking features are located on the ASAR (MODIS) image can be calculated using MWS from JTWC, and are indicated as WS_RA (WS_RM) in Table 2. The estimated wind speeds derived from feature tracking using the radii of MODIS (44.43 and 44.18 m s−1) are comparable to those from JTWC (36.82 and 41.04 m s−1), while a larger difference around 20 m s−1 is found between wind speeds from JTWC (33.96 and 35.00 m s−1) and by using the ASAR radius (52.23 and 60.75 m s−1). As the wind speeds of JTWC are estimated based on the statistical relationship among cloud organization, and storm intensity is defined by the maximum surface winds (the Dvorak Technique), it is reasonable that JTWC wind is consistent with MODIS estimations. Since ASAR mainly observes the sea surface, such a marked difference in wind speed between ASAR and JTWC estimations may imply that a complex vertical wind profile existed for Typhoon Talim. 3.2. Typhoon Khanun (2005) Figure 2 shows the sequential Envisat SAR and MODIS images collected for Typhoon Khanun on 11 September 2005. This typhoon was moving with the full strength of a category 4 with sustained winds of 50 m s−1, and its associated eyewall was highly axisymmetric. Because the rainband features on ASAR and MODIS visible images are selected visually, sometimes confused features may occur, as shown in this typhoon sample. Selected rainband features 1 and 2 in the SAR image are observable far away from and very near the typhoon eye, respectively. But in the MODIS image, feature 2 can be either very close to the typhoon eye denoted as 2i or slightly outside of the eye as 2o in Figures 2(b) and 2(c), respectively. Accordingly, two overlays of the features from ASAR and MODIS images were obtained, as shown in Figures 2(d) and 2(e). Following the same procedure, two radii estimated from SAR and MODIS data are used for all selected features. The wind speed for each feature can then be calculated by the time difference of 37.77 minutes. For feature 1, the estimated wind speeds are found to be only 19.30 and 20.34 m s−1. For feature 2o, the wind speeds are estimated to be 31.19 m s−1 and 59.32 m s−1, and for feature 2i, the wind speeds are 30.92 m s−1 and 45.31 m s−1. For this event, the MWS from JTWC is reported to be about 57 m s−1. 84.71 68.18 57.00 24.57 18.92 66.02 49.16 57.31 48.62 44.50 43.96 86.06 Angle (°) 65.4 80.8 46.4 300.9 298.4 156.58 202.54 27.3 13.7 28.2 14.5 239.56 52.23 60.75 19.30 31.19 30.92 30.51 32.02 19.29 35.75 19.27 36.79 57.10 30.86 33.96 35.00 23.41 47.90 47.90 38.59 42.84 74.60 18.12 44.43 44.18 20.34 59.32 45.31 50.37 48.52 22.60 27.00 36.82 41.04 22.81 34.73 39.58 30.03 34.80 34.19 35.53 ASAR WSPD JTWC WS_RA MODIS WSPD JTWC WS_RM Dradar WSPD (m s−1) (m s−1) (m s−1) (m s−1) (m s−1) MODIS 37.04 / 27.78 9.26 27.78 RMW (km) 41.15↑ 46.30↓ 46.30↑ 56.58↓ 64.30↑ MWS (m s−1) JTWC Note that Dradar refers to the Doppler radar, RMW is the radius of maximum winds, MWS is the maximum wind speed, WS_RA refers to the wind speed where tracking features are located on the ASAR image, which is calculated using MWS from JTWC, and WS_RM is the wind speed where tracking features are located on the MODIS image, which is calculated using MWS from JTWC. Case 5 Case 4 Case 3 Case 2 1 2 1 2o 2i 1 2 1m 1r 2m 2r 1 Case 1 99.58 93.77 54.09 12.92 12.92 39.98 32.45 48.92 48.92 47.31 47.31 65.87 Feature No. ASAR Radius (km) Summary of estimated wind speeds by feature tracking based on SAR, MODIS, and radar observations. Case No. Table 2. International Journal of Remote Sensing International Journal of Remote Sensing 7 International Journal of Remote Sensing 8 S. He et al. Figure 2. Two selected features on (a) ASAR, (b) and (c) MODIS images delineated by wavelet analysis, for Typhoon Khanum collected on 11 September 2005. The overlay of the feature skeletons for (b) and (c) is shown in (d) and (e), respectively. The WS_RA and WS_RM are calculated correspondingly for features 1, 2o, and 2i, as shown in Table 2. Relatively weak wind intensities estimated from feature 1, compared with feature 2 and JTWC, are consistent with the radial position of this feature located well outside of RMW (about 9 km). Note that feature 2i is located close to the eye’s edge whereas feature 2o is located further away (cf. Figures 2(b), (c),). By comparing the speeds using the MODIS radii of features 2i and 2o (59.32 m s−1 and 45.31 m s−1) with the WS_RM from JTWC (34.73 m s−1 and 39.58 m s−1), we speculate that feature 2i with a lesser difference in wind speed should be used for feature 2 tracking. Similar to the case of Typhoon Talim, wind speed differences between the ASAR and JTWC estimations are observed for both features 1 (4 m s−1) and 2i (17 m s−1), which also suggests that a more complicated vertical wind profile occurred for Typhoon Khanun. 3.3. Typhoon Sinlaku (2008) Typhoon Sinlaku draped the island of Luzon in the Philippines with some of its rain clouds on 10 September 2008 at the collection time of the images from ASAR and MODIS (Figures 3(a) and (b)). Near to the time these images were acquired, Sinlaku was reported to be a category 2 typhoon with wind speeds of about 51 m s−1. During the day, the typhoon continued to intensify and reached its MWS of 65 m s−1 which made it a category 4 storm. Two rainband-related features around the typhoon eye were selected and delineated by wavelet analysis for ASAR and MODIS images, as shown in Figures 3(a) and 3(b), respectively. Again, their International Journal of Remote Sensing 9 International Journal of Remote Sensing Figure 3. Two selected features for Typhoon Sinlaku on 10 September 2008, with (a) ASAR and (b) MODIS images delineated by wavelet analysis, and (c) the overlay of feature skeletons for features 1 and 2. The domain size is 256 km × 256 km. overlay at the typhoon centre by the ASAR image is shown in Figure 3(c) for these two features. In this case, the wind speed for each feature around the typhoon eye can be calculated by the time difference of 59.67 minutes. With such a large separation of time for tracking, the rainband features have to be highly coherent. For feature 1, the estimated wind speeds were found to be 30.51 m s−1 and 50.37 m s−1. For feature 2, the tracking wind speeds were 32.02 m s−1 and 48.52 m s−1. By comparison, the wind speeds from JTWC were 38.59 m s−1 and 30.03 m s−1 for feature 1, and 42.84 and 34.80 m s−1 for feature 2. It is interesting that the larger differences between wind speeds by feature tracking and those from JTWC are observed for MODIS (20 m s−1 and 14 m s−1) instead of ASAR (8 m s−1 and 11 m s−1). This discrepancy indicates that uncertainty increases along with the time difference. It may also have resulted from land effects such as when Typhoon Sinlaku passed over the islands of Luzon in the Philippines, whose inland topography could have complicated the typhoon’s wind profile and movement. 3.4. Typhoon Aere (2004) As Typhoon Aere crossed the northern tip of Taiwan on 24 August 2004, it began to weaken. The typhoon turned west-southwestward on the following day and made its closest approach to Taipei, passing only 54 km to the city’s northern aspect. The typhoon turned southwestward later that day, a trajectory that carried it past Xiamen, China early the following day. Fortunately, the quasi-concurrent ASAR and MODIS images and ground-based Doppler radar images for Typhoon Aere on 25 August were available and were collected. Moreover, all of these had a short time interval of within 30 minutes, and these images make a unique case for feature tracking in this study. Two rainband-related features are selected and delineated from ASAR, Doppler radar, and MODIS images as shown in Figures 4(a), 4(b), and 4(c), respectively. The overlays of their rainband-related features without and with shifting are shown in Figure 4(d) and Figure 4(e), respectively, to the typhoon centre of the ASAR image. SAR features and radius are indicated in blue, those of MODIS in green, and those of Doppler radar in red. The analysis indicates a slight shift in the location of the typhoon centre during the collection period of these images (Figure 4(d)). In this case, two features north and south of the typhoon eye are tracked by the same method between SAR and MODIS, and also between SAR and Doppler radar (Dradar). It International Journal of Remote Sensing 10 S. He et al. Figure 4. Two selected features for Typhoon Aere collected on 25 August 2004. (a) ASAR, (b) Doppler radar. and (c) MODIS images delineated by wavelet analysis. (d) The overlay without the eye shifting, and (e) with eye shifting to the eye centre from the ASAR image. should be noted that the features from SAR and Dradar are quite consistent since they are both near the ocean surface. The radii are estimated from SAR and MODIS data for both selected features. The wind speed for each feature can then be computed by the time difference of 20.10 minutes for MODIS and 5.43 minutes for Dradar from the SAR acquisition time. For feature 1 for SAR and MODIS, the estimated wind speeds are found to be only 19.29 m s−1 and 22.60 m s−1, respectively. However, between SAR and Dradar, the wind speed near the surface is about 35.75 m s−1. For feature 2 for SAR and MODIS data, the wind speeds are 19.27 m s−1 and 18.12 m s−1 respectively, and for feature 2 between SAR and Dradar, the wind speed is about 36.79 m s−1. During the collection time of the satellite/radar images, the MWS from JTWC is reported to be 46.30 m s−1, which is about 10 m s−1 larger than the maximum wind estimates from the selected features. Note that, in this case, RMW is not available from JTWC, so we use MWS for initial comparison. However, the low-level winds observed by the Dradar located near the northern coast of Taiwan provide strong evidence to support the reliability of feature-tracking speeds. For example, Figure 5 shows the 0.4° elevation low-level plan position indicator (PPI) scan of radial velocity and radar reflectivity at 01.52 UTC on 25 August 2004 during feature tracking. A dipole of large approaching and departing radial velocities across the typhoon eye highlights the intense cyclonic winds associated with the typhoon inner-core circulation. The maximum radial velocities adjacent to the eye (i.e. the eyewall region, Figure 5(b)) were observed to be between 35 m s−1 and 40 m s−1 (Figure 5(a)), which agrees very well with the maximum estimates of winds (i.e. 35.75 m s−1 and 36.79 m s−1) from the feature tracking. Lower tracking speeds International Journal of Remote Sensing International Journal of Remote Sensing 11 Figure 5. The 0.4° elevation low-level PPI scan of (a) radial velocity (m s−1), and (b) radar reflectivity (dBZ) from a coastal Doppler radar of northern Taiwan at 01:52 UTC on 25 August 2004 as the satellite images of the studied rainbands for Typhoon Aere were collected. obtained from SAR and MODIS may be due to the limitation of applying satellite measurements to feature tracking when the upper-level cloud patterns are significantly modified by the Taiwanese topography, as in the present case (Figure 4(c)). Besides, uncertainties may also be introduced by the comparison of features on SAR and MODIS images that are at different heights. 3.5. Typhoon Matsa (2005) Typhoon Matsa strengthened to attain peak winds of 46 m s−1 on 4 August 2005. Shortly after passing over the Japanese island, Matsa began to weaken steadily as it approached the coast of China. In this study, ASAR and MODIS images collected on this day for Typhoon Matsa are examined for a rainband-related feature around the typhoon eye. The overlay of the selected rainband feature for tracking is shown in Figure 6. The radius and skeleton delineated from the SAR image are shown in blue, and those from MODIS data in green. The red contour in the figure is the eye boundary delineated from the MODIS image. In this case, the wind speed for the feature around the typhoon eye can be calculated by the time difference of 80.35 minutes. A single rainband feature was selected for tracking with a relatively large separation time. The estimated wind speeds were found to be 57.10 m s−1 and 74.60 m s−1. The MWS from JTWC was reported to be 41.15 m s−1, and the WS_RA and WS_RM were 30.86 m s−1 and 27.00 m s−1, respectively, which is much smaller than the estimation from the feature tracking. This result is interesting and in contrast to other typhoon cases with relatively weaker feature-tracking speeds compared to the JTWC wind data. However, the large time interval between the ASAR and MODIS data (80.35 minutes) makes this result somewhat implausible. A possible explanation for this result will be elaborated on in the next section. International Journal of Remote Sensing 12 S. He et al. Figure 6. Overlay of the selected rainband-related feature of ASAR and MODIS images collected on 4 August 2005 for Typhoon Matsa. The radius and skeleton delineated from SAR images are in blue, and those from MODIS are in green. The red contour is the eye boundary delineated from the MODIS image. 4. Discussion and conclusion In this study, quasi-concurrent satellite-based SAR and MODIS data were collected for five typhoon cases, and ground-based Doppler radar images were also used for one special case near Taiwan. By tracking the rainband features around typhoon eyes delineated using wavelet analysis, local wind speeds have been estimated for five typhoon cases, as summarized in Table 2. It should be noted that the wind speeds estimated by feature tracking are really rotational speeds of the selected rainband feature only, and the typhoon rainbands would probably move more slowly than their embedded wind speed (Anthes 1982). Despite this uncertainty, the feature-tracking speeds appear generally consistent with the JTWC-reported wind speeds or the Doppler radar observations (i.e. Case 4). It is suggested that the extreme wind speeds around typhoon eyes may be retrieved from rainband feature tracking using quasi-concurrent multi-sensor images, although these sensors measure parameters at different heights. Moreover, it should be noted that the uncertainty seems to be much smaller when similar types of features at similar levels are considered. Features from the SAR and Dradar are quite consistent with each other since they are both near the ocean surface, as shown in Case 4. However, Dradar can only measure data over the coastal area, while only satellite-derived data are currently available over the open ocean. SAR and Vis International Journal of Remote Sensing International Journal of Remote Sensing 13 images with high spatial resolution (several to hundreds of metres), cannot usually be acquired with high temporal repetition. Because the JTWC data are available for 00:00 UTC, there is a time difference of 1.5–2 h from the ASAR, MODIS, and Doppler radar collection times. Rapid evolution of typhoon intensity, if any, may also represent some uncertainties in the interpretation of the comparison. In addition, MWS from JTWC is presumably the wind speed near the typhoon eyewall (i.e. close to the eye), while the estimated wind speeds by feature tracking depend on the locations of features that are usually a little further from the typhoon eye. Thus the estimated wind speeds would most likely be different from MWS, and the relation between them can only be approximately qualitative. Accordingly, the estimated wind speeds are expected to be typically lower than those from JTWC at about the same time (Table 2). However, the estimated wind speed in Case 5 is higher than that from JTWC. This result might be implausible, but this typhoon was developing with increasing wind speed as seen from the JTWC wind data reported at 6-hour intervals, as indicated in Table 2. The increasing and decreasing trends of MWS are indicated with downward and upward arrows, respectively, in this table. The accuracy of the wavelet feature-tracking method is limited by several factors, such as the persistence of the features and the spatial resolution and navigational accuracy of satellite data. The geometric accuracy of the MODIS and SAR data are less than 250 m and 100 m, respectively. Because the ASAR image has a resolution of 150 m, there is no serious issue of accuracy. However, the MODIS image has a spatial resolution of 250 m and so the extracted rainband features may have a geo-location error of approximately 250 m due to sensor resolution. Because most of the feature contours are roughly elongated as a rainband type, the skeleton location of the rainband will not be shifted significantly using the wavelet detection method and the threshold technique to delineate feature contours. For an average rainband feature of 10 km in length, the maximum error of the feature centre location is estimated to be around 2 km. The difficulties of feature tracking using a pair of satellite images are the co-registration of images and the low signal-to-noise ratio due to the different imaging mechanism for different sensors. For an acquisition separation of 30 minutes, the uncertainty of wind speed estimates is only about 1 m s−1. For the feature-tracking method proposed herein, the rainband features are initially selected subjectively and visually. Therefore the selection and tracking procedures also depend on the researchers’ experience and knowledge of typhoon structures and dynamics. Owing to the lack of field measurements, we usually select the rainbandrelated features from multi-sensor images according to their time intervals, locations, and shapes. Sometimes we may have more than one option, and in this situation we need to judge which is more appropriate. Thus the processing, including both the selection of feature and the estimation of wind speed, must be done carefully with a priori experience and knowledge. Meanwhile, it should be noted that there may be an additional uncertainty that is caused by our underlying assumptions. For example, the features depicted in the ASAR and MODIS images could not be the exact ones although we assume that they are the same in terms of phenomenology and storm-related location. The features depicted in the ASAR and MODIS images are at different altitudes (implying different rotational speed), and they might have different evolution (different time-scales and/or lag times of best correlation). Finally, it is worth noting that in this study, the feature tracking-estimated wind speeds are rainband-implied mean wind speeds at different radial distances from the 14 S. He et al. typhoon eye centres. The rainband-implied mean wind speeds may not be exactly the same as the mean wind speeds at the rainband locations, as features may rotate at different speeds with mean wind speed. Further study is needed to justify this and calibrate the uncertainty with further cases and model results. However, this is the first study to demonstrate the potential use of data from different sensors to track persistent features for movement velocity. As satellite data have become increasingly abundant and computational power has been significantly advanced, there is an urgent need for, and a rising interest in, the design of an algorithm that integrates sequential data from multiple sensors. The results of this study are preliminary but have demonstrated the potential of rainband feature tracking for real-time application of typhoon wind speed monitoring, which may provide valuable reference information for typhoon simulations and forecasts. International Journal of Remote Sensing Acknowledgements The authors are grateful for the Envisat ASAR data provided by the Dragon-3 project, and MODIS data by the NASA Goddard Space Flight Center. The Doppler radar data used in this study were provided by the Taiwan Central Weather Bureau. We would like to thank Mr. Yu Long for help with programming. This work wass partially performed during AKL’s stay at the Zhejiang University as a Qiushi Chair Professor. Disclosure statement No potential conflict of interest was reported by the authors. Funding This work was partially supported by the National Basic Research Program of China [Nos. 2013CB430300, 2011CB409803, 2011CB403503), National Natural Science Foundation of China (Nos. 41276028, 41321004, 41306192, 41306035], the State Key Laboratory of Satellite Ocean Environment Dynamics [No. SOED1206], Zhejiang Natural Science Foundation [LR16E090001, LY15D060001] and the Ministry of Science and Technology of Taiwan under Research [Grant MOST103-2111-M-002-011-MY3]. References Alpers, W., and C. Melsheimer. 2004. “Rainfall.” In Synthetic Aperture Radar Marine User’s Manual, edited by C. R. Jackson and J. R. Apel, 355–371. Washington, DC: NOAA. http://www.sarusersmanual.com/ManualPDF/NOAASARManual_CH17_pg355-372.pdf. Anthes, R. A. 1982. “Tropical Cyclones: Their Evolution, Structure, and Effects. ” Meteorological Monographs No. 41, American Meteorological Society, 208. Atlas, D. 1994a. “Footprints of Storms on the Sea: A View from Spaceborne Synthetic Aperture Radar.” Journal of Geophysical Research: Oceans 99 (C4): 7961–7969. doi:10.1029/ 94JC00250. Atlas, D. 1994b. “Origin of Storm Footprints on the Sea Seen by Synthetic Aperture Radar.” Science 266 (5189): 1364–1366. doi:10.1126/science.266.5189.1364. Atlas, D., and P. G. Black. 1994. “The Evolution of Convective Storms from Their Footprints on the Sea as Viewed by Synthetic Aperture Radar from Space.” Bulletin of the American Meteorological Society 75: 1183–1190. doi:10.1175/1520-0477(1994)075<1183:TEOCSF>2.0.CO;2. Barnes, G. M., and G. J. Stossmeister. 1986. “The Structure and Decay of a Rainband in Hurricane Irene (1981).” Monthly Weather Review 114: 2590–2601. doi:10.1175/1520-0493(1986) 114<2590:TSADOA>2.0.CO;2. International Journal of Remote Sensing International Journal of Remote Sensing 15 Barnes, G. M., E. J. Zipser, D. Jorgensen, and F. Marks Jr. 1983. “Mesoscale and Convective Structure of a Hurricane Rainband.” Journal of the Atmospheric Sciences 40: 2125–2137. doi:10.1175/1520-0469(1983)040<2125:MACSOA>2.0.CO;2. Bentamy, A., S. A. Grodsky, J. A. Carton, D. Croizé-Fillon, and B. Chapron. 2012. “Matching ASCAT and Quikscat Winds.” Journal of Geophysical Research: Oceans 117 (C2). doi:10.1029/2011JC007479. Brown, R. A. 2000. “On Satellite Scatterometer Model Functions.” Journal of Geophysical Research: Atmospheres 105 (D23): 29195–29205. doi:10.1029/2000JD900529. Cecil, D. J., E. J. Zipser, and S. W. Nesbitt. 2002. “Reflectivity, Ice Scattering, and Lightning Characteristics of Hurricane Eyewalls and Rainbands. Part I: Quantitative Description.” Monthly Weather Review 130: 769–784. doi:10.1175/1520-0493(2002)130<0769: RISALC>2.0.CO;2. Cheng, Y.-H., S.-J. Huang, A. K. Liu, C.-R. Ho, and N.-J. Kuo. 2012. “Observation of Typhoon Eyes on the Sea Surface Using Multi-Sensors.” Remote Sensing of Environment 123: 434–442. doi:10.1016/j.rse.2012.04.009. Chou, K. H., C. C. Wu, and S. Z. Lin. 2013. “Assessment of the ASCAT Wind Error Characteristics by Global Dropwindsonde Observations.” Journal of Geophysical Research: Atmospheres 118: 9011–9021. doi:10.1002/jgrd.50724. Depperman, R. C. E. 1947. “Notes on the Origin and Structures of Philippine Typhoons.” Bulletin of the American Meteorological Society 28: 399–404. Du, Y., and P. W. Vachon. 2003. “Characterization of Hurricane Eyes in RADARSAT-1 Images with Wavelet Analysis.” Canadian Journal of Remote Sensing 29: 491–498. doi:10.5589/m03020. Dvorak, V. F. 1975. “Tropical Cyclone Intensity Analysis and Forecasting from Satellite Imagery.” Monthly Weather Review 103: 420–430. doi:10.1175/1520-0493(1975)103<0420: TCIAAF>2.0.CO;2. Gall, R., J. Tuttle, and P. Hildebrand. 1998. “Small-Scale Spiral Bands Observed in Hurricanes Andrew, Hugo, and Erin.” Monthly Weather Review 126: 1749–1766. doi:10.1175/1520-0493 (1998)126<1749:SSSBOI>2.0.CO;2. Hasler, A. F., K. Palaniappan, C. Kambhammetu, P. Black, E. Uhlhorn, and D. Chesters. 1998. “High-Resolution Wind Fields within the Inner Core and Eye of a Mature Tropical Cyclone from GOES 1-Min Images.” Bulletin of the American Meteorological Society 79: 2483–2496. doi:10.1175/1520-0477(1998)079<2483:HRWFWT>2.0.CO;2. Houze, R. A. Jr. 2010. “Clouds in Tropical Cyclones.” Monthly Weather Review 138: 293–344. doi:10.1175/2009MWR2989.1. Hsu, M. K., C. T. Wang, A. K. Liu, and K. S. Chen. 2010. Satellite Remote Sensing of Southeast Asia - SAR Atlas, 133. Taipei, Taiwan: Tingmao Publish Co. Jin, S. H., S. Wang, and X. F. Li. 2014. “Typhoon Eye Extraction with an Automatic SAR Image Segmentation Method.” International Journal of Remote Sensing 35: 3978–3993. doi:10.1080/ 01431161.2014.916447. Jorgensen, D. P., and P. T. Willis. 1982. “A Z–R Relationship for Hurricanes.” Journal of Applied Meteorology 21: 356–366. doi:10.1175/1520-0450(1982)021<0356:AZRRFH>2.0.CO;2. Li, X., J. A. Zhang, X. Yang, W. G. Pichel, M. DeMaria, D. Long, and Z. Li. 2013. “Tropical Cyclone Morphology from Spaceborne Synthetic Aperture Radar.” Bulletin of the American Meteorological Society 94: 215–230. doi:10.1175/BAMS-D-11-00211.1. Liu, A. K., S. He, Y. Pan, and J. Yang. 2014. “Observations of Typhoon Eye Using SAR and IR Sensors.” International Journal of Remote Sensing 35 (11–12): 3966–3977. doi:10.1080/ 01431161.2014.916450. Liu, A. K., and M.-K. Hsu. 2009. “Deriving Ocean Surface Drift Using Multiple SAR Sensors.” Remote Sensing 1: 266–277. doi:10.3390/rs1030266. Liu, A. K., S. Martin, and R. Kwok. 1997. “Tracking of Ice Edges and Ice Floes by Wavelet Analysis of SAR Images.” Journal of Atmospheric and Oceanic Technology 14: 1187–1198. doi:10.1175/1520-0426(1997)014<1187:TOIEAI>2.0.CO;2. Liu, A. K., S. Y. Wu, and Y. Zhao. 2003. “Wavelet Analysis of Satellite Images in Ocean Applications.” In Chapter 7 in Frontiers of Remote Sensing Information Processing, edited by C. H. Chen, 141–162. Singapore: World Scientific. Miller, B. I. 1967. “Characteristics of Hurricanes.” Science 157: 1389–1399. doi:10.1126/ science.157.3795.1389. International Journal of Remote Sensing 16 S. He et al. Monaldo, F. M., and R. Beal. 2004. “Wind Speed and Direction.” In In Synthetic Aperture Radar Marine User’s Manual, edited by C. R. Jackson and J. R. Apel, 305–320. Washington, DC: NOAA. http://www.sarusersmanual.com/ManualPDF/NOAASARManual_CH13_pg305-320.pdf. Nystuen, J. A. 1990. “A Note on the Attenuation of Surface Gravity Waves by Rainfall.” Journal of Geophysical Research: Oceans 95 (C10): 18353–18355. doi:10.1029/JC095iC10p18353. Pan, Y., A. K. Liu, S. He, J. Yang, and M. He. 2013. “Comparison of Typhoon Locations over Ocean Surface Observed by Various Satellite Sensors.” Remote Sensing 5: 3172–3189. doi:10.3390/rs5073172. Piñeros, M. F., E. A. Ritchie, and J. S. Tyo. 2008. “Objective Measures of Tropical Cyclone Structure and Intensity Change from Remotely Sensed Infrared Image Data.” IEEE Transactions on Geoscience and Remote Sensing 46 (11): 3574–3580. doi:10.1109/ TGRS.2008.2000819. Senn, H. V., and H. W. Hiser. 1959. “On the Origin of Hurricane Spiral Rain Bands.” Journal of Meteorology 16: 419–426. doi:10.1175/1520-0469(1959)016<0419:OTOOHS>2.0.CO;2. Tsimplis, M. N. 1992. “The Effect of Rain in Calming the Sea.” Journal of Physical Oceanography 22: 404–412. doi:10.1175/1520-0485(1992)022<0404:TEORIC>2.0.CO;2. Wang, J., C.-S. Chern, and A. K. Liu. 2000. “The Wavelet Empirical Orthogonal Function and Its Application Analysis of Internal Tides.” Journal of Atmospheric and Oceanic Technology 17: 1403–1420. doi:10.1175/1520-0426(2000)017<1403:TWEOFA>2.0.CO;2. Wang, Y. 2009. “How Do Outer Spiral Rainbands Affect Tropical Cyclone Structure and Intensity?” Journal of the Atmospheric Sciences 66: 1250–1273. doi:10.1175/2008JAS2737.1. Weissman, D. E., B. W. Stiles, S. M. Hristova-Veleva, D. G. Long, D. K. Smith, K. A. Hilburn, and W. L. Jones. 2012. “Challenges to Satellite Sensors of Ocean Winds: Addressing Precipitation Effects.” Journal of Atmospheric and Oceanic Technology 29: 356–374. doi:10.1175/JTECHD-11-00054.1. Wexler, H. 1947. “Structure of Hurricanes as Determined by Radar.” Annals of the New York Academy of Sciences 48: 821–845. doi:10.1111/j.1749-6632.1947.tb38495.x. Willoughby, H. E., F. D. Marks Jr., and R. J. Feinberg. 1984. “Stationary and Moving Convective Bands in Hurricanes.” Journal of the Atmospheric Sciences 41: 3189–3211. doi:10.1175/15200469(1984)041<3189:SAMCBI>2.0.CO;2. Wu, C. C., K. H. Chou, and H. J. Cheng. 2003. “Eyewall Contraction, Breakdown and Reformation in a Land Falling Typhoon.” Geophysical Research Letters 30. doi:10.1029/2003Gl017653. Yu, C.-K., and Y. Chen. 2011. “Surface Fluctuations Associated with Tropical Cyclone Rainbands Observed near Taiwan during 2000-08.” Journal of the Atmospheric Sciences 68: 1568–1585. doi:10.1175/2011JAS3725.1. Yu, C.-K., and L.-W. Cheng. 2008. “Radar Observations of Intense Orographic Precipitation Associated with Typhoon Xangsane (2000).” Monthly Weather Review 136: 497–521. doi:10.1175/2007MWR2129.1. Yu, C. K., and L. W. Cheng. 2013. “Distribution and Mechanisms of Orographic Precipitation Associated with Typhoon Morakot (2009).” Journal of the Atmospheric Sciences 70: 2894–2915. doi:10.1175/JAS-D-12-0340.1. Yu, C.-K., and C.-L. Tsai. 2010. “Surface Pressure Features of Landfalling Typhoon Rainbands and Their Possible Causes.” Journal of the Atmospheric Sciences 67: 2893–2911. doi:10.1175/ 2010JAS3312.1. Yu, C. K., and C. L. Tsai. 2013. “Structural and Surface Features of Arc-Shaped Radar Echoes along an Outer Tropical Cyclone Rainband.” Journal of the Atmospheric Sciences 70: 56–72. doi:10.1175/JAS-D-12-090.1.