Quarter-Century Offshore Winds from SSM/I and WRF in the North Sea and South China Sea

: We study the wind climate and its long-term variability in the North Sea and South China Sea, areas relevant for offshore wind energy development, using satellite-based wind data, because very few reliable long-term in-situ sea surface wind observations are available. The Special Sensor Microwave Imager (SSM/I) ocean winds extrapolated from 10 m to 100 m using the Charnock relationship and the logarithmic proﬁle method are compared to Weather Research and Forecasting (WRF) model results in both seas and to in-situ observations in the North Sea. The mean wind speed from SSM/I and WRF differ only by 0.1 m/s at Fino1 in the North Sea, while west of Hainan in the South China Sea the difference is 1.0 m/s. Linear regression between SSM/I and WRF winds at 100 m show correlation coefﬁcients squared of 0.75 and 0.67, standard deviation of 1.67 m/s and 1.41 m/s, and mean difference of − 0.12 m/s and 0.83 m/s for Fino1 and Hainan, respectively. The WRF-derived winds overestimate the values in the South China Sea. The inter-annual wind speed variability is estimated as 4.6% and 4.4% based on SSM/I at Fino1 and Hainan, respectively. We ﬁnd signiﬁcant changes in the seasonal wind pattern at Fino1 with springtime winds arriving one month earlier from 1988 to 2013 and higher winds in June; no yearly trend in wind speed is observed in the two seas.


Introduction
Offshore wind energy is one of the renewable energy sources to be exploited in Europe, Asia and North America to reduce anthropogenic emission of greenhouse gases from the energy mix.At present, the offshore wind climatology and derived wind power statistical information such as wind resources, wind speed decadal trends, changes in seasonal winds and inter-annual wind speed variability have insufficient detail for siting and planning of offshore wind farms.The main reason is that observations at offshore meteorological masts are very limited in space and time.Data from global reanalysis during recent 25 years are unfortunately not consistent in time due to changes in available input and difficulty in homogenization, thus artificial trends may occur [1].
Wind climate statistics must be known locally for any potential wind farm project.Wind farms are planned with around 30-year economical lifetimes.Often only one or few years of meteorological observations are available and resource estimation has high uncertainty as surface winds change considerably between years [2].An implicit assumption is that the mean wind resource assessed from stationary climate during the analysis period will be similar into the future.
The collected ship data in the International Comprehensive Ocean-Atmosphere Data Set (ICOADS) [3,4] show wind climate trends at decadal scale over the global oceans.Wind speed from four first-generation re-analyses were compared to recently updated ship wind data at 10 m [5], as well as to wind speeds from satellite passive microwave [6] and altimeter [7][8][9].These studies report positive trends in global ocean mean wind speed.This is in contrast to the results of wind speed trend analysis over land based on atmospheric modeling for the USA [10] and Europe [11] and from network of meteorological stations, e.g., in Scotland [12] and China [13].There is much variability in the decadal wind speed trends for different periods and observational data sets at regional scale for land and sea and include both negative and positive trends.Offshore wind power estimates at global scale based on satellite scatterometer winds show large spatial variations [14,15].
The present study focuses on quarter-century offshore wind speed trends and addresses, with similar methodology and observations, two regional seas both highly relevant for offshore wind farming but with contrasting wind climates.In the North Sea many wind farms are in operation in the UK, Denmark, Germany, the Netherlands and Belgium, while in the South China Sea wind farms are planned with 1.2 GW for 2020, and beyond this time, up to 3.95 GW according to the China National Energy Administration including the Hainan Floating wind farm demo project (20 MW), Guangdong Dongfang wind farm (350 MW), Huaneng Hainan Wenchang #1 offshore wind farm (200 MW) and Guangdong-Xuwen offshore wind power demonstration project (48 MW) (under construction) [16].
Regional studies using scatterometer winds demonstrate good wind energy potential in the North Sea [17,18] and South China Sea [19,20].Wind resource analysis at higher spatial resolution from satellite synthetic aperture radar (SAR) confirms the good wind energy potential for the North Sea [21,22] and South China Sea [23] and reveals spatial variability at kilometer scale often with sharp gradients near coastlines, where most offshore wind farm projects are located.
The most common problem for assessment of offshore long-term wind climate is the lack of meteorological mast observations.Therefore, satellite-based sea surface wind data are used in this study.Data from SAR satellites cover near-coastal regions, but their temporal coverage is too low for trend analysis.In contrast, passive microwave satellite wind products cover only open oceans but are frequent in time and have a quarter-decadal data record.For long-term wind trend analysis, it is assumed that regional effects rather than local effects govern potential long-term changes.Therefore, we examine what useful information we may extract from the Special Sensor Microwave Imager (SSM/I) ver.7 that has accuracy sufficient for trend analysis for decadal changes at 1% [24].We compare the SSM/I wind speed data to available in-situ data and mesoscale model results.We investigate the strength and weaknesses of the different data sets.Meteorological observations are only available in the North Sea while SSM/I and output from mesoscale simulations using the Weather, Research and Forecasting (WRF) model are available for both seas.
The first objective of this paper is to examine wind power statistics at hub-height of offshore wind turbines at 100 m from SSM/I and WRF for both seas.
The second objective is to assess the amplitude of temporal wind speed variations and how these vary across the North Sea and the South China Sea by performing long-term trend analysis at monthly and yearly time scale using Student's t-test for significance based on SSM/I.
The analysis is based on 26 years of SSM/I ocean wind speeds extrapolated from 10 m to 100 m using a logarithmic wind profile and an assumption of neutral stability and wind-induced roughness of the sea [25].The information on atmospheric stability and boundary layer height is not used within the long-term trend analysis, even though both parameters are known to influence marine boundary-layer wind profiles [26,27].We choose this because we otherwise would have to use information on these parameters from a model.We do not know if stability and boundary layer heights are constant during the years and if they are modeled correctly.Thus, using this information could contaminate the analysis based on raw data.We investigate the quality of the SSM/I observations compared to in-situ observations on a weekly basis at 100 m level.The in-situ observations are available at around 100 m in the North Sea [28,29]; thus, this comparison study is complementary to classical satellite wind comparison based on 10 m buoy observations [24].In addition, we add an analysis on stability based on WRF to estimate the bias due to stability effects on the mean wind speed at the two sites.The two novelties in this study are: (1) a consistent method applied in both a temperate area and in the tropics based on SSM/I for wind energy applications; and (2) the estimation of stability correction.

SSM/I Wind Speed Observations at Study Sites
Our analysis is based on ocean winds observed by the SSM/I series F08, F10, F11, F13, F14, and F15 and the Special Sensor Microwave Imager Sounder (SSM/IS) series F16 and F17 from the Defense Meteorological Satellite Program in the USA.SSM/I ver.7 data from Remote Sensing Systems (www.remss.com)are used.
SSM/I wind speed data has been inter-calibrated between sensors and in time across the globe in order to reduce the error in the wind speed retrieval process.Thus, we assume the wind speed observed from each of the sensors to be stable in time.According to [24] the accuracy of the SSM/I series is now of a quality feasible for wind climate studies, i.e., changes in wind speed within 1% per decade can be assessed.The retrieved wind is the equivalent neutral wind speed at 10 m above mean sea level (AMSL).The SSM/I satellites are in polar orbits and each satellite passes most points on Earth twice per day.From August 1987 to April 1991, only one SSM/I satellite was in operation and a local point of interest was typically passed only twice per day.Later, two to five satellites were in operation and thus the number of daily satellite passes has varied between two and ten.Not all passes, however, produce a valid measurement since the data are flagged out during rain events.
The North Sea and South China Sea with the selected study sites are shown in addition, we add an analysis on stability based on WRF to estimate the bias due to stability effects on the mean wind speed at the two sites.The two novelties in this study are: (1) a consistent method applied in both a temperate area and in the tropics based on SSM/I for wind energy applications; and (2) the estimation of stability correction.

SSM/I Wind Speed Observations at Study Sites
Our analysis is based on ocean winds observed by the SSM/I series F08, F10, F11, F13, F14, and F15 and the Special Sensor Microwave Imager Sounder (SSM/IS) series F16 and F17 from the Defense Meteorological Satellite Program in the USA.SSM/I ver.7 data from Remote Sensing Systems (www.remss.com)are used.
SSM/I wind speed data has been inter-calibrated between sensors and in time across the globe in order to reduce the error in the wind speed retrieval process.Thus, we assume the wind speed observed from each of the sensors to be stable in time.According to [24] the accuracy of the SSM/I series is now of a quality feasible for wind climate studies, i.e., changes in wind speed within 1% per decade can be assessed.The retrieved wind is the equivalent neutral wind speed at 10 m above mean sea level (AMSL).The SSM/I satellites are in polar orbits and each satellite passes most points on Earth twice per day.From August 1987 to April 1991, only one SSM/I satellite was in operation and a local point of interest was typically passed only twice per day.Later, two to five satellites were in operation and thus the number of daily satellite passes has varied between two and ten.Not all passes, however, produce a valid measurement since the data are flagged out during rain events.
The North Sea and South China Sea with the selected study sites are shown in Figure 1.The SSM/I data are available at 0.25° by 0.25° grid.The SSM/I wind speed values from the four nearest grid cells at each site have been averaged and used to represent the site value.The geographical coordinate of the Fino1 mast is 54.0143°N, 6.5877°E while the SSM/I center coordinate is 54.25°N, 6.50°E.The averaging area for Fino1 is offset to the north compared to the mast position because the SSM/I satellites close to the coast register no values.The location in the South China Sea west of Hainan Dao is 19.25°N, 107.50°E and is here called Hainan.To have full years of data, all available SSM/I observations from 1988 to 2013 are selected.The data from eight satellites operating in different, but partly overlapping periods, have been extracted to form a single series of measurements for each of the sites.There are in total 45.146 samples at Fino1 and 27.188 at Hainan.All samples were used in the analysis and assumed to be independent observations.The average number of samples over the 26-year study period is 4.8 measurements per day at the Fino1 site and 2.9 at Hainan.This difference reflects fewer passes locally near the Equator To have full years of data, all available SSM/I observations from 1988 to 2013 are selected.The data from eight satellites operating in different, but partly overlapping periods, have been extracted to form a single series of measurements for each of the sites.There are in total 45.146 samples at Fino1 and 27.188 at Hainan.All samples were used in the analysis and assumed to be independent observations.The average number of samples over the 26-year study period is 4.8 measurements per day at the Fino1 site and 2.9 at Hainan.This difference reflects fewer passes locally near the Equator than at higher latitudes due to the scan pattern of polar orbiting Earth satellites.Figure 2 graphs the number of validated SSM/I observations in the North Sea and the South China Sea per year from 1988 to 2013.
The equatorial crossing times for the eight SSM/I satellites are published at Remote Sensing Systems (www.remss.com/support/crossing-times).All satellites drifted in time during the years.Figure 3 shows the number of valid measurements as function of time of day during 26 years.There is much data from 5:00 a.m. to 11:00 a.m. and from 5:00 p.m. to 9:30 p.m., few data from 4:00 a.m. to 5:00 a.m. and from 3:30 p.m. to 5:00 p.m., and no data from 10:00 p.m. to 4:00 a.m. and from 11:30 a.m. to 3:30 p.m. local standard time (LST).If there is a pronounced diurnal cycle in wind speed, this is not fully resolved by SSM/I.The equatorial crossing times for the eight SSM/I satellites are published at Remote Sensing Systems (www.remss.com/support/crossing-times).All satellites drifted in time during the years.Figure 3 shows the number of valid measurements as function of time of day during 26 years.There is much data from 5:00 a.m. to 11:00 a.m. and from 5:00 p.m. to 9:30 p.m., few data from 4:00 a.m. to 5:00 a.m. and from 3:30 p.m. to 5:00 p.m., and no data from 10:00 p.m. to 4:00 a.m. and from 11:30 a.m. to 3:30 p.m. local standard time (LST).If there is a pronounced diurnal cycle in wind speed, this is not fully resolved by SSM/I.than at higher latitudes due to the scan pattern of polar orbiting Earth satellites.Figure 2 graphs the number of validated SSM/I observations in the North Sea and the South China Sea per year from 1988 to 2013.The equatorial crossing times for the eight SSM/I satellites are published at Remote Sensing Systems (www.remss.com/support/crossing-times).All satellites drifted in time during the years.Figure 3 shows the number of valid measurements as function of time of day during 26 years.There is much data from 5:00 a.m. to 11:00 a.m. and from 5:00 p.m. to 9:30 p.m., few data from 4:00 a.m. to 5:00 a.m. and from 3:30 p.m. to 5:00 p.m., and no data from 10:00 p.m. to 4:00 a.m. and from 11:30 a.m. to 3:30 p.m. local standard time (LST).If there is a pronounced diurnal cycle in wind speed, this is not fully resolved by SSM/I.

Meteorological Mast Data
The Fino1 meteorological mast observations of wind speed at 100 m for 2004-2013 in 10-min temporal resolution are used is this study.Fino1 is operated by Bundesamt für Seeschifffart und Hydrographie.The Fino1 wind speed data has been used in several studies [26,28,29].In September 2009, the Alpha Ventus wind farm east of Fino1 came into operation and since then turbine wake influence (reduce) the mast wind speed observations for easterly winds.We include easterly winds in the analysis, as the effect is minor according to [29].The wind data from Fino1 show typical mid-latitude wind conditions with winds from all directions and dominated by southwesterly winds [26,29].

WRF Model Data
We use the WRF model [30] in mesoscale reanalysis mode, as introduced in [29], to obtain wind climatology for the two areas of interest.Previous simulations over the North and Baltic Sea using this method found biases in annual mean wind speed between model and observations at heights around 100 m smaller than 3.2% at all available offshore sites, except for those that are affected by the wake of a wind farm or the coastline [29].In contrast, the winds derived from two reanalysis products show larger bias than WRF; it was concluded that the WRF model downscaling is an added value in connection with wind energy application [29].The WRF method has also been validated against satellite-derived winds in the North and Baltic Sea [18].In the study on comparison of reanalysis products, blended satellite products and WRF model simulations to buoy winds observed in the Atlantic Sea near Portugal and Spain, the analysis show higher correlation to WRF than to the reanalysis products and blended satellite products, e.g., the French Research Institute for the Exploitation of the Sea Blended Wind Fields (IFREMER-BWF) and the Cross-Calibrated Multi-Platform Ocean Surface wind Vectors (CCMP) [31].Therefore we use WRF model results in the current study.
For the mesoscale reanalysis used for the North Sea, the WRF model (ARW-WRF version 3.5.1)was run by DTU Wind Energy using ERA-Interim reanalysis [32] with 0.75 • by 0.75 • horizontal grid spacing and sea surface temperatures (SST) with horizontal resolution 0.25 • by 0.25 • (NOAA Daily OISST) [33].The model was integrated on a grid with horizontal spacing of 18 km by 18 km (outer domain, D1) and 6 km by 6 km (nested domain, D2).A map of the model setup location, which was rotated to better cover the region of interest, is displayed in Figure 4. Table 1 presents other key information.In the vertical, the model was configured with 41 levels with model top at 50 hPa.The lowest 12 of these levels are within 1000 m from the surface and the first level is located at approximately 14 m above ground level (AGL).The simulation covers the period 1982-2013, but only output from 1988 to 2013 is used here.The simulations use the YSU PBL scheme [34].
The WRF model used for the South China Sea (ARW-WRF version 3.4) was run by the China Meteorological Administration (CMA).The initial boundary conditions and fields for grid nudging are from NCEP CFSR data at 0.5 • by 0.5 • grid [35].The model was integrated on a grid with horizontal spacing of 15 km by 15 km (outer domain, D1) and 5 km by 5 km (nested domain, D2).There are 36 vertical layers with model top at 50 hPa.Eight of the layers are placed within 300 m of the surface.The simulation covers the period from 1989 to 2013.The nested domain is simulated for fewer years [23].Output only from the outer domain is used in this study.The simulations use the Mellor-Yamada-Janjic (MYJ) scheme [36].See Figure 4 and Table 1 for further information.
The choice of global reanalysis (ERA Interim versus CFSR) and PBL schemes-MYJ and YSU, which are the two most used schemes in WRF-show only weak sensitivity for winds over the sea according to [29].In the South China Sea similar sensitivity analysis has not been performed due to lack of offshore meteorological mast data for verification.The results in [29] may not be valid over sea in other geographical regions and climates with, e.g., fewer data assimilated to the reanalysis and dominated by atmospheric processes different from the Northern European seas large-scale weather phenomena.It is beyond our scope to elaborate further on WRF modeling.

Extrapolating Wind Speed from 10 m to Hub-Height
The SSM/I wind speed observations are valid at 10 m AMSL.We extrapolate these instantaneous winds to the hub-height of typical offshore wind turbines at around 100 m.The SSM/I wind speed data are extrapolated using the Charnock sea roughness equation for open seas [25] and a logarithmic wind profile: The surface roughness length (z0) is a function of the friction velocity (u*) and gravitational acceleration (g) and is used in the logarithmic wind profile where uz is the wind speed a height z and κ is the von Kármán constant.The logarithmic profile is valid when conditions are horizontally homogeneous, and the neutrally stratified constant flux layer is controlled by surface friction.The Charnock formulation is derived for fully developed, wind-generated waves over deep sea.With the satellite given wind speed at 10 m, z0 and u* can be found from the two above equations by iteration and the latter can then be applied for 100 m.In Appendix A, further details on the roughness are given.
For very low wind speeds the above procedure can lead to a value of u* that is below the friction at a smooth wall.As this is not physically realistic, a two layer wind profile [37] is used in that case, a sub-laminar layer close to the wall and a logarithmic layer that matches the measured values at 10 m and the sub-laminar layer at z+ = 11.65,where z+ = u*•z/ν.If the wind speed is sufficiently small, the laminar sub layer can stretch all way out passed z = 10 m. z+ is the height and ν is the kinematic viscosity.
The vertical extrapolation of wind speeds from SSM/I is performed without any correction for atmospheric stability effects because no observations of heat fluxes and air temperatures are  The SSM/I wind speed observations are valid at 10 m AMSL.We extrapolate these instantaneous winds to the hub-height of typical offshore wind turbines at around 100 m.The SSM/I wind speed data are extrapolated using the Charnock sea roughness equation for open seas [25] and a logarithmic wind profile: The surface roughness length (z 0 ) is a function of the friction velocity (u * ) and gravitational acceleration (g) and is used in the logarithmic wind profile where u z is the wind speed a height z and κ is the von Kármán constant.The logarithmic profile is valid when conditions are horizontally homogeneous, and the neutrally stratified constant flux layer is controlled by surface friction.The Charnock formulation is derived for fully developed, wind-generated waves over deep sea.With the satellite given wind speed at 10 m, z 0 and u * can be found from the two above equations by iteration and the latter can then be applied for 100 m.In Appendix A, further details on the roughness are given.
For very low wind speeds the above procedure can lead to a value of u * that is below the friction at a smooth wall.As this is not physically realistic, a two layer wind profile [37] is used in that case, a sub-laminar layer close to the wall and a logarithmic layer that matches the measured values at 10 m and the sub-laminar layer at z+ = 11.65,where z+ = u * •z/ν.If the wind speed is sufficiently small, the laminar sub layer can stretch all way out passed z = 10 m. z+ is the height and ν is the kinematic viscosity.
The vertical extrapolation of wind speeds from SSM/I is performed without any correction for atmospheric stability effects because no observations of heat fluxes and air temperatures are available at the two sites investigated.Instantaneous outputs of these parameters from WRF are too uncertain to be used for estimation of a stability correction parameter [38].Over the long-term (i.e., over periods of at least one year), however, a stability correction parameter calculated from the same WRF outputs has been found to match mast observations very well [38].The correction is based on adaptation of the Monin-Obukhov similarity theory and it can be utilized to extrapolate the annual mean wind speed retrieved from satellite observations from 10 m to higher levels [27].
In order to show the long-term average effect of atmospheric stability on the wind profiles at Fino1 and Hainan, we calculate the long-term stability correction for each of the two sites.For this we use hourly results from WRF during years 2002 to 2012 at 6 km resolution at Fino1 and hourly results from WRF during years 2009 to 2011 at 5 km resolution at Hainan.

Wind Energy Statistics
Wind resource assessment is the procedure by which wind power developers estimate the future energy production of a wind farm.The wind resource is key information for wind farm planning [39].The wind resource usually is calculated from the wind speed and wind direction observations by dividing the wind data into twelve 30 • wind direction sectors.For each sector the Weibull scale (A) and shape (k) parameters are determined from fitting a distribution to the data [40].Often the data are from a meteorological mast and comprise hourly values for one year.In the current study only the wind speed enters the calculation based on SSM/I and WRF to make these two results comparable.The method used for fitting the Weibull parameters to the distribution of data is from the Wind Atlas Analysis and Application Program (WAsP) [41].
The wind power density, E, is calculated from Weibull A and k using the gamma function (Γ) and a standard air density (ρ = 1.245 g/m 3 ): In wind energy, a common measure for inter-annual wind variability is the standard deviation of annual mean wind speed over several years in percent of the long-term mean wind speed.

Linear Correlation between Wind Speeds from SSM/I, in-Situ and WRF
The SSM/I wind speeds extrapolated to 100 m assuming neutral stability and WRF model winds at 100 m have been compared to in-situ measurements observed at Fino1 in the North Sea.Weekly averages of wind speeds are selected for comparison in order to balance the number of observations of the data sets and to have sufficient number of observations for linear regression analysis.The results are presented in Figure 5 and in Table 2. Table 2 also presents linear correlation results for SSM/I vs. WRF at 10 m and at 100 m for Fino1 and Hainan.The corresponding graphics are given in Figure 5. Please note all available data from Fino1, from WRF and from SSM/I are used in the weekly averages.The influence of atmospheric stability on the vertical wind profile we investigate for a shorter period using the method presented in [27].The long-term average wind profiles calculated with and without stability correction for Fino1 and Hainan are shown in Figure 6.It shows, in the long term, near-neutral conditions at Fino1 and unstable conditions at Hainan with around 0.5 m/s lower winds at 100 m including stability.SSM/I-derived winds vs. in-situ at 100 m have lower correlation than those derived from WRF vs. in-situ at 100 m.This is likely a consequence of errors introduced by the vertical extrapolation.The relationship between the SSM/I data observed at 10 m and extrapolated to 100 m values using the Charnock's equation is a smooth function of wind speed while WRF uses a sophisticated atmospheric model whose PBL scheme takes heat and humidity fluxes as well as time derivatives of winds into account when determining the winds at all heights.SSM/I vs. WRF winds show higher correlation at 10 m than 100 m at both sites.The mean difference between SSM/I-and WRF-derived winds is higher in the South China Sea than in the North Sea.Co-located hourly data at 10 m based on SSM/I vs. WRF for Fino1 and Hainan show linear correlation results of, respectively, R 2 0.88 and 0.82, std.dev.1.71 and 1.84, mean difference 0.0 and 0.0 based on N 38.547 and 23.130.
The influence of atmospheric stability on the vertical wind profile we investigate for a shorter period using the method presented in [27].The long-term average wind profiles calculated with and without stability correction for Fino1 and Hainan are shown in Figure 6.It shows, in the long term, near-neutral conditions at Fino1 and unstable conditions at Hainan with around 0.5 m/s lower winds at 100 m including stability.

Comparison of Wind Resource Statistics from SSM/I and WRF
The monthly averages of wind speed based on SSM/I and WRF at 100 m for Fino1 (1988-2013) and Hainan (1988-2013; but 1989-2013 in WRF) are shown in Figure 7.At Fino1, the WRF mean wind estimates are higher than from SSM/I from February through June, and lower from August through January.At Hainan, the WRF estimates are higher than SSM/I for all months.
The wind speed distribution and fitted Weibull curves from SSM/I and WRF for Fino1 and Hainan are shown in Figure 8.For Fino1 meteorological data at 100 m for much fewer years are included.The estimates from SSM/I, WRF and meteorological data compare well at Fino1, while for Hainan the wind speed distribution from WRF is shifted towards higher values than from SSM/I.The mean wind speed, Weibull scale and shape parameters, energy density and inter-annual wind speed variability for Fino1 and Hainan are listed in Table 3.The inter-annual wind speed variability at Fino1 is 4.6% based on SSM/I and 0.6% lower based on WRF.In contrast, at Hainan based on SSM/I, the value is 4.4% and 0.5% higher based on WRF.It cannot be concluded what is the truth, but the WRF results at Hainan seems to overestimate the wind speed.

Comparison of Wind Resource Statistics from SSM/I and WRF
The monthly averages of wind speed based on SSM/I and WRF at 100 m for Fino1 (1988-2013) and Hainan (1988-2013; but 1989-2013 in WRF) are shown in Figure 7.At Fino1, the WRF mean wind estimates are higher than from SSM/I from February through June, and lower from August through January.At Hainan, the WRF estimates are higher than SSM/I for all months.
The wind speed distribution and fitted Weibull curves from SSM/I and WRF for Fino1 and Hainan are shown in Figure 8.For Fino1 meteorological data at 100 m for much fewer years are included.The estimates from SSM/I, WRF and meteorological data compare well at Fino1, while for Hainan the wind speed distribution from WRF is shifted towards higher values than from SSM/I.The mean wind speed, Weibull scale and shape parameters, energy density and inter-annual wind speed variability for Fino1 and Hainan are listed in Table 3.The inter-annual wind speed variability at Fino1 is 4.6% based on SSM/I and 0.6% lower based on WRF.In contrast, at Hainan based on SSM/I, the value is 4.4% and 0.5% higher based on WRF.It cannot be concluded what is the truth, but the WRF results at Hainan seems to overestimate the wind speed.

Jan Feb Mar Apr May Jun
Jul Aug Sep Oct Nov Dec

Comparison of Wind Resource Statistics from SSM/I and WRF
The monthly averages of wind speed based on SSM/I and WRF at 100 m for Fino1 (1988-2013) and Hainan (1988-2013; but 1989-2013 in WRF) are shown in Figure 7.At Fino1, the WRF mean wind estimates are higher than from SSM/I from February through June, and lower from August through January.At Hainan, the WRF estimates are higher than SSM/I for all months.
The wind speed distribution and fitted Weibull curves from SSM/I and WRF for Fino1 and Hainan are shown in Figure 8.For Fino1 meteorological data at 100 m for much fewer years are included.The estimates from SSM/I, WRF and meteorological data compare well at Fino1, while for Hainan the wind speed distribution from WRF is shifted towards higher values than from SSM/I.The mean wind speed, Weibull scale and shape parameters, energy density and inter-annual wind speed variability for Fino1 and Hainan are listed in Table 3.The inter-annual wind speed variability at Fino1 is 4.6% based on SSM/I and 0.6% lower based on WRF.In contrast, at Hainan based on SSM/I, the value is 4.4% and 0.5% higher based on WRF.It cannot be concluded what is the truth, but the WRF results at Hainan seems to overestimate the wind speed.

Jan Feb Mar Apr May Jun
Jul Aug Sep Oct Nov Dec    The variation in wind speed during the day is examined.From Figure 3 it is clear that wind speeds from SSM/I during some parts of day (~14 h) get weighted more while winds during other parts of the day (~10 h) are not included.Figure 9 shows the 6-min bin averaged wind speed from SSM/I at Fino1 and Hainan.In times with less than 20 observations, the values are excluded in the graphics, but the analysis is carried out on all the available data.There are a very few values that show unexpected high wind speed at the edge of the satellite swath, but these few data cannot influence the results to any extent.
The WRF hourly averaged wind speeds at Fino1 for 26 years and at Hainan for 25 years are also shown.At Fino1, SSM/I and WRF wind speeds agree well during the afternoon but WRF wind speeds are slightly lower during the morning.The diurnal wind speed cycle shows only weak variation.At Hainan, SSM/I winds are lower than those from WRF at all times.The diurnal wind speed cycle is significant but the data from SSM/I and WRF do not fully agree on the timing.It should be noted that relatively few SSM/I samples are available at Hainan.Only in the periods 6:00 a.m.-9:00 a.m. and 6:00 p.m.-9:00 p.m. are more than 200 samples available.The variation in wind speed during the day is examined.From Figure 3 it is clear that wind speeds from SSM/I during some parts of day (~14 h) get weighted more while winds during other parts of the day (~10 h) are not included.Figure 9 shows the 6-min bin averaged wind speed from SSM/I at Fino1 and Hainan.In times with less than 20 observations, the values are excluded in the graphics, but the analysis is carried out on all the available data.There are a very few values that show unexpected high wind speed at the edge of the satellite swath, but these few data cannot influence the results to any extent.
The WRF hourly averaged wind speeds at Fino1 for 26 years and at Hainan for 25 years are also shown.At Fino1, SSM/I and WRF wind speeds agree well during the afternoon but WRF wind speeds are slightly lower during the morning.The diurnal wind speed cycle shows only weak variation.At Hainan, SSM/I winds are lower than those from WRF at all times.The diurnal wind speed cycle is significant but the data from SSM/I and WRF do not fully agree on the timing.It should be noted that relatively few SSM/I samples are available at Hainan.Only in the periods 6:00 a.m.-9:00 a.m. and 6:00 p.m.-9:00 p.m. are more than 200 samples available.

Seasonal Wind Speed Trend Results
Seasonal trends in wind speed show changes of the windy seasons within the year and thus indicate the timing of expected wind power, which is relevant to compare to societal demand for electricity.In the seasonal trend tests, we examine if there is a trend from one January to another January, and from one February and to another February, and so on.The monthly trends are calculated for the 100 m wind speed from SSM/I for Fino1 and Hainan.The plots in Figure 10 are divided such that the seasonal trade wind pattern in the South China Sea stands out clearly.This is

Seasonal Wind Speed Trend Results
Seasonal trends in wind speed show changes of the windy seasons within the year and thus indicate the timing of expected wind power, which is relevant to compare to societal demand for electricity.In the seasonal trend tests, we examine if there is a trend from one January to another January, and from one February and to another February, and so on.The monthly trends are calculated for the 100 m wind speed from SSM/I for Fino1 and Hainan.The plots in Figure 10 are divided such that the seasonal trade wind pattern in the South China Sea stands out clearly.This is consistent with the distinct seasonal cycle of monsoon progression with lower values in the summer season and higher winds speeds in the winter season.Similar months are selected for the North Sea.
As seen in Figure 10 for Fino1 and Hainan, the monthly averages wind speed values at 100 m vary very much from year to year; thus the trends, represented by first order regression lines, may be rather speculative.The linear trends in monthly wind speed with statistical significance above the 95% confidence level at Fino1 are for February based on SSM/I −0.92 m/s per decade and for June 0.56 m/s per decade.This result is interpreted as strong winter winds ending one month earlier during recent 26 years.In other words, mild spring winds arrive one month earlier and stronger winds occur in June.To investigate the trend further, the 95% percentile wind speed trend is calculated.The average wind speed trend and the 95% percentile wind speed trend as well as the statistical significance levels are graphed in Figure 11.For Fino1 the 95% percentile wind speed trend in June is 1 m/s per decade with high statistical significance and in February it is −0.94 m/s per decade slightly below the 90% confidence level.The average wind speed trend and the 95% percentile wind speed trend show similar behavior for all months.

Friction velocity *
At Hainan, only the 95% percentile wind speed trend show statistical significance above 95%.It is for winds in June with trend 0.57 m/s per decade.The average wind speed trend is positive in June at 0.27 m/s per decade and negative in February, March and October at around −0.55 m/s per decade at the 90% confidence level.The average wind speed trend and 95% percentile wind speed trend do not follow each other as closely at Hainan as at Fino1.

Yearly Wind Speed Trend Results
The yearly average trend is of great interest because it is related to the potential changes in wind turbine energy production during a project lifetime.The annual energy production is key information in wind farming as the economical revenue is closely related to it.Figure 12 shows the yearly wind speed averages and the 95% percentile wind speed trends from SSM/I at Fino1 and Hainan including linear trend lines.At Fino1 the average wind speed trend is 0.1 m/s per decade and at Hainan 0.04 m/s per decade but none of these positive trends are significant at the 95% confidence level.At Fino1 also yearly averaged and 95% percentile wind speeds (2004-2013) are included in Figure 12, but the series is too short for trend analysis.The meteorological data show lower 95% percentile values than SSM/I.

Yearly Wind Speed Trend Results
The yearly average trend is of great interest because it is related to the potential changes in wind turbine energy production during a project lifetime.The annual energy production is key information in wind farming as the economical revenue is closely related to it.Figure 12 shows the yearly wind speed averages and the 95% percentile wind speed trends from SSM/I at Fino1 and Hainan including linear trend lines.At Fino1 the average wind speed trend is 0.1 m/s per decade and at Hainan 0.04 m/s per decade but none of these positive trends are significant at the 95% confidence level.At Fino1 also yearly averaged and 95% percentile wind speeds (2004-2013) are included in Figure 12, but the series is too short for trend analysis.The meteorological data show lower 95% percentile values than SSM/I.

Discussion
The quarter-century wind speed statistics for the North Sea and South China Sea relevant for wind energy planning are examined.Wind derived from SSM/I vs. Fino1 data have R 2 0.72 and std.dev.1.75 m/s and mean difference −0.12 m/s at 100 m.Better agreement is found for SSM/I vs. WRF at 10 m with R 2 0.88, std.dev.0.98 m•s −1 and mean difference −0.12 m/s.For the 10 m winds, the comparison is very good.This is despite the fact that SSM/I are equivalent neutral winds and WRF stability-dependent winds.Our analysis based on WRF show near-neutral conditions.Other studies [26,38] show the atmospheric stratification at Fino1 is near neutral towards slightly stable.It means that WRF-simulated real winds are expected to be slightly higher than SSM/I equivalent neutral winds.
At 100 m height, the average wind speed from SSM/I during 26 years based on 45,146 observations is 9.75 m/s and based on 227,760 WRF (hourly) results is 9.68 m/s.It may be by chance that a negative mean difference is seen, as the difference is less than 1%.A possible cause is the position of the SSM/I grid cell, which is shifted slightly further offshore where winds are expected to be (slightly) higher than at the meteorological mast.Another reason for SSM/I winds to be slightly higher could be land contamination of SSM/I data observed relatively near the coast (around 60 km for Fino1 and 200 km for Hainan).The safe zone is around three times 3 dB beam size from which 98% on-Earth radiance originates.This corresponds to an ellipse of size 207 km by 129 km at 19 GHz for SSM/I.The land has much higher brightness temperature than ocean and therefore even small fractions of land will result in too high winds [42].The coastal mask seems to be suitable at Fino1.The above results provide confidence in using SSM/I winds for long-term wind resource statistics for this region.
In the South China Sea, SSM/I-and WRF-derived wind speeds are compared.At the Hainan study site at 10 m R 2 is 0.71, std.dev.1.10 m/s and mean difference 0.83 m/s while the statistics at 100 m are R 2 0.67, std.dev.1.41 m/s and mean difference 0.83 m/s.It may be noted that the mean difference is high for these collocated samples.The average wind speed at 100 m from 26 years of SSM/I observations is 7.58 m/s whereas 25 years of data from WRF is 8.53 m/s, i.e., 11% difference.One year less data from WRF than SSM/I is unlikely to explain the difference.The SSM/I-derived winds are equivalent neutral winds and our extrapolation to 100 m did not include a stability correction.This means that SSM/I winds at 100 m are expected to be positively biased (overestimated) as the climatology of stability at Hainan is dominated by unstable to neutral stratification.From our stability analysis the bias on mean wind speed is estimated as 0.5 m/s.Different reanalysis (ERA Interim vs. CFSR), horizontal grid spacing, and PBL schemes (YSU vs.

Discussion
The quarter-century wind speed statistics for the North Sea and South China Sea relevant for wind energy planning are examined.Wind derived from SSM/I vs. Fino1 data have R 2 0.72 and std.dev.1.75 m/s and mean difference −0.12 m/s at 100 m.Better agreement is found for SSM/I vs. WRF at 10 m with R 2 0.88, std.dev.0.98 m•s −1 and mean difference −0.12 m/s.For the 10 m winds, the comparison is very good.This is despite the fact that SSM/I are equivalent neutral winds and WRF stability-dependent winds.Our analysis based on WRF show near-neutral conditions.Other studies [26,38] show the atmospheric stratification at Fino1 is near neutral towards slightly stable.It means that WRF-simulated real winds are expected to be slightly higher than SSM/I equivalent neutral winds.
At 100 m height, the average wind speed from SSM/I during 26 years based on 45,146 observations is 9.75 m/s and based on 227,760 WRF (hourly) results is 9.68 m/s.It may be by chance that a negative mean difference is seen, as the difference is less than 1%.A possible cause is the position of the SSM/I grid cell, which is shifted slightly further offshore where winds are expected to be (slightly) higher than at the meteorological mast.Another reason for SSM/I winds to be slightly higher could be land contamination of SSM/I data observed relatively near the coast (around 60 km for Fino1 and 200 km for Hainan).The safe zone is around three times 3 dB beam size from which 98% on-Earth radiance originates.This corresponds to an ellipse of size 207 km by 129 km at 19 GHz for SSM/I.The land has much higher brightness temperature than ocean and therefore even small fractions of land will result in too high winds [42].The coastal mask seems to be suitable at Fino1.The above results provide confidence in using SSM/I winds for long-term wind resource statistics for this region.
In the South China Sea, SSM/I-and WRF-derived wind speeds are compared.At the Hainan study site at 10 m R 2 is 0.71, std.dev.1.10 m/s and mean difference 0.83 m/s while the statistics at 100 m are R 2 0.67, std.dev.1.41 m/s and mean difference 0.83 m/s.It may be noted that the mean difference is high for these collocated samples.The average wind speed at 100 m from 26 years of SSM/I observations is 7.58 m/s whereas 25 years of data from WRF is 8.53 m/s, i.e., 11% difference.One year less data from WRF than SSM/I is unlikely to explain the difference.The SSM/I-derived winds are equivalent neutral winds and our extrapolation to 100 m did not include a stability correction.This means that SSM/I winds at 100 m are expected to be positively biased (overestimated) as the climatology of stability at Hainan is dominated by unstable to neutral stratification.From our stability analysis the bias on mean wind speed is estimated as 0.5 m/s.Different reanalysis (ERA Interim vs. CFSR), horizontal grid spacing, and PBL schemes (YSU vs. MYJ) are used in the WRF simulations over the North and South China Sea.While little sensitive to these two factors in the North Sea [29], the impact is unknown over the South China Sea.It is not possible to conclude whether SSM/I or WRF are more reliable.We note that for Hainan the WRF monthly mean wind speeds and distribution are systematically higher than SSM/I.
Comparison of point observations vs. spatial data from satellites has well-known scaling issue.The surface-layer theory offers weighting functions, traditionally called footprints, for scaling between the upwind area and the measurement point at a certain height [43,44].Assuming homogenous and stationary conditions the observed winds will be mainly related to the upwind near-field area of the footprint.In other words, the time-averaged winds from observations, e.g., as we use hourly values, compare to an upwind area in the spatial domain.For 10 m winds, the area will be smaller than for winds observed at 100 m.The two sites investigated in this study are relatively far from sharp horizontal wind speed gradients, which otherwise would limit the analysis [23,45].
The seasonal wind speed trend at Fino1 in February (−0.92 m/s per decade) is statistically significant at the 95% significance level and in June (0.56m/s per decade).The 95% percentile wind speeds trend (1.0 m/s per decade) in June is statistically significant at the 95% level.The trends in average wind speeds and 95% percentile winds are similar at Fino1 for all months.Large-scale climate dynamics such as NAO most likely dominate the wind speed trends.
At Hainan the 95% percentile wind speed trend (0.57 m/s per decade) show statistical significance above 95% in June.At the 90% confidence level the average wind speed trend is positive (0.27 m/s per decade) in June and negative in February, March and October (around −0.55 m/s per decade).The average wind speed trend and 95% percentile wind speed trend follow each other from June to January but not from February to May at Hainan.As stated earlier decadal trend analysis based on SSM/I should be possible for trends in wind speed above 0.1 m/s per decade while WRF may show artificial trends due to inconsistency in time due to changes in available input used in the driving reanalysis [1] and are therefore not used for trend analysis in the current study.
Neither in the North Sea, nor in the South China Sea does the current analysis show significant wind speed trends based on 26 years of observations from SSM/I from 1988 to 2013 at the 95% confidence level.The meteorological wind speed observations across China show significant decreasing trends [13] among several other studies.Decreasing winds over land are likely a consequence of land cover changes, e.g., urbanization near meteorological masts.However, it is remarkable that our results on decadal wind speed trends in the South China Sea do not show similar pattern, as the interpretation for the changes in wind speed are large-scale dynamics [5,6,13,46].Our results based on SSM/I shows weak positive trends at Fino1 (0.10 m/s per decade) and Hainan (0.04 m/s per decade) but these trend values are not significant at the 95% confidence level.Several other studies have found positive trend in wind speeds over the open ocean with statistically significant values [6][7][8][9].
Wind resource statistics at 100 m based on SSM/I and WRF at Fino1 show good agreement for mean wind speed (less than 1% difference) while the energy density differs around 14%.At Fino1 estimation of energy density at 100 m from mast data shows 1002 W/m 2 from September 2003 to August 2007 (4 years) with the average energy density for each full year 870 W/m 2 , 1077 W/m 2 , 836 W/m 2 and 1225 W/m 2 [47].The temporal yearly variability is high.The energy density based on SSM/I extrapolated to 100 m is 1131 W/m 2 whereas WRF is 975 W/m 2 for 26 years.It seems likely that the SSM/I estimate for Fino1 is too high, which in part also may be explained from the SSM/I grid position being shifted slightly further offshore than the actual mast or SSM/I is influenced by land contamination.The observations at Fino1 for a much shorter period (10 years vs. 26 years) show Weibull distribution closer to WRF than to SSM/I.No firm conclusion can be drawn as to which energy density is correct.
In the South China Sea, in-situ observations are not available.Available estimates of wind resources in the South China Sea include results from one year (2011) showing strong gradients in wind energy density near Hainan ~500 W/m 2 at 100 m [23].Maps on the offshore wind energy density are presented in [48] based on [49] and the International Energy Agency (IEA) and Energy Research Institute [50].The spatial patterns in these maps are dissimilar.Near Hainan the values are around 400 W/m 2 and 450 W/m 2 , respectively.The data source for production is not described nor is its years, height or method.Our results on wind energy density from SSM/I and WRF vary considerably.At Hainan, the WRF-derived means show higher values 648 W/m 2 while SSM/I show 470 W/m 2 , i.e., around 30% difference.The WRF values are likely overestimated.One indication is the diurnal wind speed variation (Figure 9) where SSM/I and WRF show clear diurnal variation but with WRF winds consistently higher than SSM/I.Lack of wind speed observations from SSM/I during several hours each day may be more problematic near Hainan than in the North Sea as the diurnal winds are more variable in the South China Sea.SSM/I are equivalent neutral winds and extrapolated to 100 m using neutral wind profile.We expect the energy density from SSM/I to be overestimated near Hainan because the atmosphere is often unstable and our analysis on stability shows around 0.5 m/s lower winds at 100 m using stability correction than if assuming neutral conditions.

Conclusions
In summary, SSM/I and WRF results are compared in both study areas.The analysis of SSM/I observations is straightforward and the Charnock relationship and the logarithmic profile method have been used to extrapolate the winds to 100 m.The WRF model is a strong tool for wind resource assessment.Many more parameters than wind speed are available from model results, e.g., stability, temperature, etc.However, the accuracy of the results has to be checked versus reliable observations to ensure optimal choice of initial and boundary conditions and physical parameterizations.The number of possible choices in model set up is overwhelmingly large and even though computational power has increased rapidly, there is continued need for research and comparison analysis, in particular, over ocean.The winds in the North Sea (predominantly westerly's coming from the North Atlantic Sea) are relatively simpler to simulate than those in the South China Sea, which are influenced by many different large-scale, seasonal (e.g., monsoon) and mesoscale phenomena.SSM/I can be used for consistency check of model results, e.g., when in-situ observations are too few for extensive model evaluation and the choice of planetary boundary layer scheme [29].
SMM/I surface ocean wind observations provide new insight to offshore wind statistics relevant for wind energy planning.Novel results presented here are the seasonal wind pattern with springtime winds arriving one month earlier at Fino1 in the North Sea from 1988 to 2013 and higher winds in June.The results are based on SSM/I wind speeds extrapolated from 10 m to 100 m using Charnock and a logarithmic wind profile, thus equivalent neutral winds.The weekly average SSM/I values are successfully compared to WRF model results (better at 10 m than 100 m) and Fino1 mast data of stability-dependent winds.The SSM/I observations do not show significant decadal wind speed changes at quarter-century timescale.The inter-annual variability is 4.6% based on SSM/I and 4.0% based on WRF at Fino1.At Hainan, in the South China Sea, SSM/I and WRF wind speeds also correlate well (better at 10 m than 100 m) but there is a bias of overestimated wind speeds in WRF.This is despite the fact that the climatology of atmospheric stratification is mainly unstable, and it is therefore expected that SSM/I equivalent neutral winds would be bias high using Charnock and a logarithmic profile approach used to extrapolate the winds from 10 m to 100 m.The stability analysis based on WRF output and adaptation of the Monin-Obukhov similarity theory show unstable conditions with around 0.5 m/s lower mean wind speed.The energy density varies across the South China Sea but the absolute level is not certain from this analysis.There is no significant trend found in wind speeds during the 26 years; however, seasonal changes are observed with negative trend in February, March and October and positive trend in June.

Figure 1 .
The SSM/I data are available at 0.25 • by 0.25 • grid.The SSM/I wind speed values from the four nearest grid cells at each site have been averaged and used to represent the site value.The geographical coordinate of the Fino1 mast is 54.0143 • N, 6.5877 • E while the SSM/I center coordinate is 54.25 • N, 6.50 • E. The averaging area for Fino1 is offset to the north compared to the mast position because the SSM/I satellites close to the coast register no values.The location in the South China Sea west of Hainan Dao is 19.25 • N, 107.50 • E and is here called Hainan.

Figure 1 .
Figure 1.Maps of the study sites and the SSM/I average areas indicated with red boxes the sites: Fino1 in the North Sea (left); and Hainan in the South China Sea (right).

Figure 1 .
Figure 1.Maps of the study sites and the SSM/I average areas indicated with red boxes the sites: Fino1 in the North Sea (left); and Hainan in the South China Sea (right).

Figure 3 .
Figure 3.Total number of valid measurements from SSM/I at each registered time point of day using 6-min bins in the period from 1988 to 2013 for: Fino1 (left); and Hainan (right).

Figure 3 .
Figure 3.Total number of valid measurements from SSM/I at each registered time point of day using 6-min bins in the period from 1988 to 2013 for: Fino1 (left); and Hainan (right).Figure 3. Total number of valid measurements from SSM/I at each registered time point of day using 6-min bins in the period from 1988 to 2013 for: Fino1 (left); and Hainan (right).

Figure 3 .
Figure 3.Total number of valid measurements from SSM/I at each registered time point of day using 6-min bins in the period from 1988 to 2013 for: Fino1 (left); and Hainan (right).Figure 3. Total number of valid measurements from SSM/I at each registered time point of day using 6-min bins in the period from 1988 to 2013 for: Fino1 (left); and Hainan (right).

Figure 4 .
Figure 4. WRF model nested domains for: the North Sea (left); and South China Sea (right).

Table 1 .
Details of the WRF simulations for the North Sea and South China Sea used in the present study.data ERA-Interim + OISST NCEP/CFSR + OISST

Figure 4 .
Figure 4. WRF model nested domains for: the North Sea (left); and South China Sea (right). 0

Figure 5 .
Figure 5. (Top) SSM/I (left) and WRF (right) weekly-averaged wind speed versus in-situ wind speed for Fino1 at 100 m including linear regression results; (Middle) SSM/I versus WRF weekly-averaged wind speed at 10 m for Fino1 (left) and Hainan (right); and (Bottom) SSM/I versus WRF weekly-averaged wind speed at 100 m for Fino1 (left) and Hainan (right).

Figure 5 .
Figure 5. (Top) SSM/I (left) and WRF (right) weekly-averaged wind speed versus in-situ wind speed for Fino1 at 100 m including linear regression results; (middle) SSM/I versus WRF weekly-averaged wind speed at 10 m for Fino1 (left) and Hainan (right); and (bottom) SSM/I versus WRF weekly-averaged wind speed at 100 m for Fino1 (left) and Hainan (right).
SSM/I-derived winds vs. in-situ at 100 m have lower correlation than those derived from WRF vs. in-situ at 100 m.This is likely a consequence of errors introduced by the vertical extrapolation.The relationship between the SSM/I data observed at 10 m and extrapolated to 100 m values using the Charnock's equation is a smooth function of wind speed while WRF uses a sophisticated atmospheric model whose PBL scheme takes heat and humidity fluxes as well as time derivatives of winds into account when determining the winds at all heights.SSM/I vs. WRF winds show higher correlation at 10 m than 100 m at both sites.The mean difference between SSM/I-and WRF-derived winds is higher in the South China Sea than in the North Sea.Co-located hourly data at 10 m based on SSM/I vs. WRF for Fino1 and Hainan show linear correlation results of, respectively, R 2 0.88 and 0.82, std.dev.1.71 and 1.84, mean difference 0.0 and 0.0 based on N 38.547 and 23.130.

Figure 6 .
Figure 6.Long-term averaged wind profiles with and without stability correction at: Fino1 (left); and Hainan (right).Figure 6.Long-term averaged wind profiles with and without stability correction at: Fino1 (left); and Hainan (right).

Figure 6 .
Figure 6.Long-term averaged wind profiles with and without stability correction at: Fino1 (left); and Hainan (right).Figure 6.Long-term averaged wind profiles with and without stability correction at: Fino1 (left); and Hainan (right).

Figure 7 .
Figure 7. Average monthly SSM/I and WRF wind speeds at 100 m for 26 years from 1988 to 2013 for Fino1 (left) and Hainan (right), except WRF at Hainan is from 1989 to 2013.

Figure 7 .
Figure 7. Average monthly SSM/I and WRF wind speeds at 100 m for 26 years from 1988 to 2013 for Fino1 (left) and Hainan (right), except WRF at Hainan is from 1989 to 2013.

Figure 7 .
Figure 7. Average monthly SSM/I and WRF wind speeds at 100 m for 26 years from 1988 to 2013 for Fino1 (left) and Hainan (right), except WRF at Hainan is from 1989 to 2013.

Figure 9 .
Figure 9.Diurnal wind speed from SSM/I averaged for each registered time point (6-min bins) during 26 years (1988-2013) for Fino1 (left) and hourly values from WRF during same years and Hainan (right) but without year 1988 from WRF.

Figure 9 .
Figure 9.Diurnal wind speed from SSM/I averaged for each registered time point (6-min bins) during 26 years (1988-2013) for Fino1 (left) and hourly values from WRF during same years and Hainan (right) but without year 1988 from WRF.

Figure 10 .
Figure 10.Monthly averages of SSM/I wind speeds at 100 m as function of year for 1988 to 2013 for: Fino1 (left); and Hainan (right).Dashed lines indicate the calculated trends.

Figure 11 .
Figure 11.The average wind speed trend and the 95% percentile wind speed trend based on SSM/I wind speeds at 100 m as function of year for 1988 to 2013 for: Fino1 (top left); and Hainan (top right) and significance test.Dashed lines indicate the calculated significance levels for: Fino1 (bottom left); and Hainan (bottom right).

Figure 11 .
Figure 11.The average wind speed trend and the 95% percentile wind speed trend based on SSM/I wind speeds at 100 m as function of year for 1988 to 2013 for: Fino1 (top left); and Hainan (top right) and significance test.Dashed lines indicate the calculated significance levels for: Fino1 (bottom left); and Hainan (bottom right).

Table 1 .
Details of the WRF simulations for the North Sea and South China Sea used in the present study.

Table 2 .
Linear correlation results between weekly-averaged SSM/I, in-situ and WRF wind speeds in the North Sea and South China Sea.N is the number of samples.

Table 2 .
Linear correlation results between weekly-averaged SSM/I, in-situ and WRF wind speeds in the North Sea and South China Sea.N is the number of samples.

Table 3 .
Wind resource statistics at 100 m calculated from SSM/I and WRF from 1988 to 2013 for Fino1 and Hainan (except WRF 1989 to 2013).

Table 3 .
Wind resource statistics at 100 m calculated from SSM/I and WRF from 1988 to 2013 for Fino1 and Hainan (except WRF 1989 to 2013).