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Overview

The stormwindmodel package was created to allow users to model wind speeds at grid points in the United States based on “best tracks” hurricane tracking data, using a model for wind speed developed by Willoughby and coauthors (2006). The package includes functions for interpolating hurricane tracks and for modeling and mapping wind speeds during the storm. It includes population mean center locations for all U.S. counties, which can be used to map winds by county; however, other grid point locations can also be input for modeling. Full details on how this model is fit are provided in the “Details” vignette of the stormwindmodel package.

This package is currently in development on GitHub. You can install it using the install_github function from the devtools package using:

devtools::install_github("geanders/stormwindmodel", build_vignettes = TRUE)

Package example data

For examples, the package includes data on the tracks of Hurricane Floyd in 1999 and Hurricane Katrina in 2005. You can load these example best tracks data sets using:

library(stormwindmodel)
data("floyd_tracks")
head(floyd_tracks)
#> # A tibble: 6 x 4
#>   date         latitude longitude  wind
#>   <chr>           <dbl>     <dbl> <dbl>
#> 1 199909071800     14.6     -45.6    25
#> 2 199909080000     15       -46.9    30
#> 3 199909080600     15.3     -48.2    35
#> 4 199909081200     15.8     -49.6    40
#> 5 199909081800     16.3     -51.1    45
#> 6 199909090000     16.7     -52.6    45
data("katrina_tracks")
head(katrina_tracks)
#> # A tibble: 6 x 4
#>   date         latitude longitude  wind
#>   <chr>           <dbl>     <dbl> <dbl>
#> 1 200508231800     23.1     -75.1    30
#> 2 200508240000     23.4     -75.7    30
#> 3 200508240600     23.8     -76.2    30
#> 4 200508241200     24.5     -76.5    35
#> 5 200508241800     25.4     -76.9    40
#> 6 200508250000     26       -77.7    45

This example data includes the following columns:

  • date: Date and time of the observation (in UTC)
  • latitude, longitude: Location of the storm at that time
  • wind: Maximum wind speed at that time (knots)

You can input other storm tracks into the wind modeling functions in the stormwindmodel package, but you must have your storm tracks in the same format as these example dataframes and with these columns names to input the tracks to the functions in stormwindmodel. If necessary, use rename from dplyr to rename columns and convert_wind_speed from weathermetrics to convert windspeed into knots.

The stormwindmodel package also includes a dataset with the location of the population mean center of each U.S. county (county_points). This dataset can be used as the grid point inputs if you want to model storm-related winds for counties. These counties are listed by Federal Information Processing Standard (FIPS) number, which uniquely identifies each U.S. county. This dataset comes from the US Census file of county population mean center locations, as of the 2010 Census.

data(county_points)
head(county_points)
#>   gridid     glat      glon
#> 1  01001 32.50039 -86.49416
#> 2  01003 30.54892 -87.76238
#> 3  01005 31.84404 -85.31004
#> 4  01007 33.03092 -87.12766
#> 5  01009 33.95524 -86.59149
#> 6  01011 32.11633 -85.70119

You can use a different dataset of grid points to model winds at other U.S. locations, including across evenly spaced grid points. However, you will need to include these grid points in a dataframe with a similar format to this example dataframe, with columns for each grid point id (gridid— these IDs can be random but should be unique across grid points), and glat and glon for latitude and longitude of each grid point.

Basic example

The main function of this package is get_grid_winds. It inputs storm tracks for a tropical cyclone (hurr_track) and a dataframe with grid point locations (grid_df). It models winds during the tropical storm at each grid point and outputs summaries of wind during the storm at each grid point from the storm. The wind measurements generated for each grid point are:

  • vmax_gust: Maximum 10-m 1-minute gust wind experienced at the grid point during the storm
  • vmax_sust: Maximum 10-m 1-minute sustained wind experienced at the grid point during the storm
  • gust_dur: Duration gust wind was at or above a specified speed (default is 20 m/s), in minutes
  • sust_dur: Duration sustained wind was at or above a specified speed (default is 20 m/s), in minutes

To get modeled winds for Hurricane Floyd at U.S. county centers, you can run:

floyd_winds <- get_grid_winds(hurr_track = floyd_tracks,
                              grid_df = county_points)
#> Warning: `mutate_()` is deprecated as of dplyr 0.7.0.
#> Please use `mutate()` instead.
#> See vignette('programming') for more help
#> This warning is displayed once every 8 hours.
#> Call `lifecycle::last_warnings()` to see where this warning was generated.
#> Warning: `select_()` is deprecated as of dplyr 0.7.0.
#> Please use `select()` instead.
#> This warning is displayed once every 8 hours.
#> Call `lifecycle::last_warnings()` to see where this warning was generated.
#> Warning: `summarise_()` is deprecated as of dplyr 0.7.0.
#> Please use `summarise()` instead.
#> This warning is displayed once every 8 hours.
#> Call `lifecycle::last_warnings()` to see where this warning was generated.
floyd_winds %>%
  dplyr::select(gridid, vmax_gust, vmax_sust, gust_dur, sust_dur) %>%
  slice(1:6)
#>   gridid vmax_gust vmax_sust gust_dur sust_dur
#> 1  01001  2.971364  1.994204        0        0
#> 2  01003  1.958180  1.314215        0        0
#> 3  01005  4.806562  3.225880        0        0
#> 4  01007  2.309274  1.549848        0        0
#> 5  01009  2.600039  1.744992        0        0
#> 6  01011  4.077514  2.736587        0        0

If you use the coutny_points data that comes with the package for the grid_df argument, you will model winds for county centers. In this case, the gridid is a county FIPS, and the stormwindmodel package has a function called map_wind for mapping the estimated winds for each county. By default, it maps the maximum sustained wind in each county during the storm in meters per second.

map_wind(floyd_winds)

Further functionality

Options for modeling winds

You can input the track for any Atlantic Basin tropical storm into get_grid_winds, as long as you convert it to meet the following format requirements:

  • Is a dataframe of class tbl_df (you can use the tbl_df function from dplyr to do this)
  • Has the following columns:
    • date: A character vector with date and time (in UTC), expressed as YYYYMMDDHHMM.
    • latitude: A numeric vector with latitude in decimal degrees.
    • longitude: A numeric vector with longitude in decimal degrees.
    • wind: A numeric vector with maximum storm wind speed in knots

For the grid point locations at which to model, you can input a dataframe with grid points anywhere in the eastern half of the United States. For example, you may want to map wind speeds for Hurricane Katrina by census tract in Orleans Parish, LA. The following code shows how a user could do that with the stormwindmodel package.

First, the tigris package can be used to pull US Census tract shapefiles for a county. You can use the following code to pull these census tract file shapefiles for Orleans Parish in Louisiana:

library(tigris)
new_orleans <- tracts(state = "LA", county = c("Orleans"), 
                      class = "sp") 

This shapefile gives the polygon for each census tract. You can use the gCentroid function from the rgeos package to determine the location of the center of each census tract:

library(rgeos)
new_orleans_tract_centers <- gCentroid(new_orleans, byid = TRUE)@coords
head(new_orleans_tract_centers)
#>            x        y
#> 1  -89.95393 30.04011
#> 2  -89.91693 30.03769
#> 30 -90.01988 29.95959
#> 31 -90.07362 29.97811
#> 32 -90.12008 29.91933
#> 46 -90.08967 29.94482

With some cleaning, you can get this data to the format required for the get_grid_winds function. In particular, you should add the tract id from the original shapefiles as the grid id, as this will help you map the modeled wind results:

new_orleans_tract_centers <- new_orleans_tract_centers %>%
  tbl_df() %>%
  mutate(gridid = unique(new_orleans@data$TRACTCE)) %>%
  dplyr::rename(glat = y, 
                glon = x)
#> Warning: `tbl_df()` is deprecated as of dplyr 1.0.0.
#> Please use `tibble::as_tibble()` instead.
#> This warning is displayed once every 8 hours.
#> Call `lifecycle::last_warnings()` to see where this warning was generated.
head(new_orleans_tract_centers)
#> # A tibble: 6 x 3
#>    glon  glat gridid
#>   <dbl> <dbl> <chr> 
#> 1 -90.0  30.0 001747
#> 2 -89.9  30.0 001750
#> 3 -90.0  30.0 000800
#> 4 -90.1  30.0 003600
#> 5 -90.1  29.9 011400
#> 6 -90.1  29.9 008600

Here is a map of the census tracts, with the center point of each shown with a red dot (note that an area over water is also included– this is included as one of the census tract shapefiles pulled by tigris for Orleans Parish):

library(sf)
new_orleans <- new_orleans %>% 
  st_as_sf()
new_orleans_centers <- new_orleans_tract_centers %>% 
  st_as_sf(coords = c("glon", "glat")) %>% 
  st_set_crs(4269)

library(ggplot2)
ggplot() + 
  geom_sf(data = new_orleans) + 
  geom_sf(data = new_orleans_centers, color = "red", size = 0.6)

Since the new_orleans_tract_centers is now in the appropriate format to use with the stormwindmodel functions, you can input it directly into get_grid_winds to model the winds from Hurricane Katrina at each census tract center:

new_orleans_tracts_katrina <- get_grid_winds(hurr_track = katrina_tracks, 
                                             grid_df = new_orleans_tract_centers)
head(new_orleans_tracts_katrina)
#>        glon     glat gridid vmax_gust vmax_sust gust_dur sust_dur
#> 1 -89.95393 30.04011 001747  62.91971  42.22799     1110      690
#> 2 -89.91693 30.03769 001750  65.34514  43.85580     1110      690
#> 3 -90.01988 29.95959 000800  59.41499  39.87583     1110      675
#> 4 -90.07362 29.97811 003600  56.61081  37.99383     1110      675
#> 5 -90.12008 29.91933 011400  54.80164  36.77962     1110      690
#> 6 -90.08967 29.94482 008600  55.98677  37.57502     1095      675

To plot these modeled winds, you can merge this modeled data back into the “sf” version of the census tract shapefile data, joining by census tract identification, and then add to the map. You can show wind speed in this map with color.

new_orleans <- new_orleans %>% 
  left_join(new_orleans_tracts_katrina, by = c("TRACTCE" = "gridid"))
library(viridis)
ggplot() + 
  geom_sf(data = new_orleans, aes(fill = vmax_sust)) + 
  geom_sf(data = new_orleans_centers, color = "red", size = 0.6) + 
  scale_fill_viridis(name = "Maximum\nsustained\nwinds (m/s)")

There are also functions in this package that you can use to create a time series of all modeled winds at a specific grid point throughout the storm. For example, here is the code to calculate modeled wind at the population mean center of Dare County, NC (FIPS: 37055) throughout Hurricane Floyd:

dare_county <- county_points %>% # Get grid point information for Dare County
  filter(gridid == "37055")

with_wind_radii <- floyd_tracks %>%
  create_full_track() %>% # Interpolate tracks to every 15 minutes
  add_wind_radii()        # Calculate required inputs for Willoughby wind model

dare_winds <- calc_grid_wind(grid_point = dare_county,          # Model winds at one grid point
                             with_wind_radii = with_wind_radii)

ggplot(dare_winds, aes(x = date, y = windspeed)) + 
  geom_line() + 
  xlab("Observation time (UTC)") + 
  ylab("Modeled surface wind (m / s)") 

For more details, see the “Details” vignette, which walks through all steps of the modeling process.

Options for mapping county-level winds

There are a number of options when mapping wind speeds using map_wind.

First, you can use the add_storm_track function to add the storm track to the map. This function inputs one dataframe with tracking data (the floyd_tracks example data that comes with the package in this case) as well as the plot object created using map_wind, which is input using the plot_object argument. In this example code, we’ve first created the base map of winds by county using map_wind and then input that, along with Floyd’s track data, into add_storm_track to create a map with both winds and the storm tracks:

floyd_map <- map_wind(floyd_winds)
add_storm_track(floyd_tracks, plot_object = floyd_map)

You can also choose whether to map sustained or gust winds (value, which can take “vmax_gust” or “vmax_sust”), as well as the unit to use for wind speed (wind_metric, which can take values of “mps” [the default] or “knots”).

map_wind(floyd_winds, value = "vmax_gust", wind_metric = "knots")

Finally, you can map a binary classification of counties with winds at or above a certain break point. For example, to map counties with sustained wind at or above 34 knots during the storm, you can run:

map_wind(floyd_winds, value = "vmax_sust", wind_metric = "knots",
         break_point = 34)

Tracks data

You can get an R version of best tracks data for Atlantic basin storms from 1988 to 2015 through the hurricaneexposuredata package (also in development on GitHub):

devtools::install_github("geanders/hurricaneexposuredata")

Here are all the storms currently included in that dataset:

library(hurricaneexposuredata)
data("hurr_tracks")
hurr_tracks %>% 
  tidyr::separate(storm_id, c("storm", "year")) %>%
  dplyr::select(storm, year) %>%
  dplyr::distinct() %>%
  dplyr::group_by(year) %>% 
  dplyr::summarize(storms = paste(storm, collapse = ", ")) %>% 
  knitr::kable()
#> Warning: Expected 2 pieces. Additional pieces discarded in 27 rows [3313, 3314,
#> 3315, 3316, 3317, 3318, 3319, 3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327,
#> 3328, 3329, 3330, 3331, 3332, ...].
#> `summarise()` ungrouping output (override with `.groups` argument)
yearstorms
1988Alberto, Beryl, Chris, Florence, Gilbert, Keith, AL13, AL14, AL17
1989Allison, Chantal, Hugo, Jerry
1990AL01, Bertha, Marco
1991Ana, Bob, Fabian, AL12
1992AL02, Andrew, Danielle, Earl
1993AL01, Arlene, Emily
1994Alberto, AL02, Beryl, Gordon
1995Allison, Dean, Erin, Gabrielle, Jerry, Opal
1996Arthur, Bertha, Edouard, Fran, Josephine
1997AL01, Ana, Danny
1998Bonnie, Charley, Earl, Frances, Georges, Hermine, Mitch
1999Bret, Dennis, AL07, Floyd, Harvey, Irene
2000AL04, Beryl, AL09, Gordon, Helene, Leslie
2001Allison, Barry, Gabrielle, Karen, Michelle
2002Arthur, Bertha, Cristobal, Edouard, Fay, Gustav, Hanna, Isidore, Kyle, Lili
2003Bill, Claudette, AL07, Erika, Grace, Henri, Isabel
2004Alex, Bonnie, Charley, Frances, Gaston, Hermine, Ivan, Jeanne, Matthew
2005Arlene, Cindy, Dennis, Emily, Katrina, Ophelia, Rita, Tammy, Wilma
2006Alberto, Beryl, Chris, Ernesto
2007Andrea, Barry, Erin, Gabrielle, Humberto, Ten, Noel
2008Cristobal, Dolly, Edouard, Fay, Gustav, Hanna, Ike, Kyle, Paloma
2009One, Claudette, Ida
2010Alex, Two, Bonnie, Five, Earl, Hermine, Nicole, Paula
2011Bret, Don, Emily, Irene, Lee
2012Alberto, Beryl, Debby, Isaac, Sandy
2013Andrea, Dorian, Karen
2014Arthur
2015Ana, Bill, Claudette
2016Bonnie, Colin, Eight, Hermine, Julia, Matthew
2017Cindy, Emily, Harvey, Irma, Jose, Nate, Philippe
2018Alberto, Chris, Florence, Gordon, Michael
TwoTwenty

References

Willoughby, HE, RWR Darling, and ME Rahn. 2006. “Parametric Representation of the Primary Hurricane Vortex. Part II: A New Family of Sectionally Continuous Profiles.” Monthly Weather Review 134 (4): 1102–20.

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install.packages('stormwindmodel')

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Version

0.1.4

License

GPL (>= 2)

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Last Published

July 27th, 2020

Functions in stormwindmodel (0.1.4)

calc_forward_speed

Calculate storm's forward speed
remove_forward_speed

Remove forward speed from maximum wind speed
radians_to_degrees

Convert from radians to degrees
will7a

Calculate radius of maximum winds
will10c

Calculate A for Willoughby model
will10b

Calculate n for the Willoughby model
county_points

Eastern U.S. county latitude and longitudes
calc_gradient_speed

Convert symmetric surface wind to gradient wind.
get_grid_winds

Determine hurricane winds at locations
calc_grid_wind

Calculate wind speed at grid points
floyd_tracks

Hurricane Floyd tracks data
add_inflow

Add inflow angle
gradient_to_surface

Calculate surface wind speed from gradient
will1

Model wind speed at a grid point for a storm track observation
will10a

Calculate X1 for Willoughby model
landmask

Land-sea mask
katrina_tracks

Hurricane Katrina tracks data
solve_for_xi

Numerically solve Willoughby Eqn. 3 for xi
latlon_to_km

Calculate distance between two locations
map_wind

Map wind exposure at the county level
interp_track

Interpolate a storm track
will1a

Willoughby et al. (2006), Equation 1(a)
summarize_grid_wind

Generate wind summaries for grid point
will2

Willoughby et al. (2006), Equation 2
will3_deriv_func

Calculate the function value and derivative for Willoughby Eqn. 3
will3_right

Calculate right-hand side of Willoughby Eqn. 3
add_forward_speed

Adds forward speed component to modeled surface wind
add_wind_radii

Add Willoughby inputs and parameters
calc_and_summarize_grid_wind

Calculate and summarize grid winds
add_storm_track

Plot Atlantic basin hurricane tracks
calc_R1

Calculate radius to start of transition region
calc_bearing

Calculate bearing from one location to another
check_over_land

Determine if storm is over land or water
create_full_track

Impute hurricane tracks to finer time scale
degrees_to_radians

Convert from degrees to radians