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direction_to_leader calculates the direction to the leader of each spatiotemporal group. The function expects a data.table with relocation data appended with a rank_position_group_direction column indicating the ranked position along the group direction generated with leader_direction_group(return_rank = TRUE). Relocation data should be in two columns representing the X and Y coordinates, or in a geometry column prepared by the helper function get_geometry().

Usage

direction_to_leader(
  DT = NULL,
  coords = NULL,
  group = "group",
  crs = NULL,
  geometry = "geometry"
)

Arguments

DT

input data.table

coords

character vector of X coordinate and Y coordinate column names. Note: the order is assumed X followed by Y column names

group

group column name, generated by group_pts, default 'group'

crs

numeric or character defining the coordinate reference system to be passed to sf::st_crs. For example, either crs = "EPSG:32736" or crs = 32736. Used only if coords are provided, see details under Interface

geometry

simple feature geometry list column name, generated by get_geometry(). Default 'geometry', see details under Interface

Value

direction_to_leader returns the input DT appended with a direction_leader column indicating the direction to the group leader in radians. A value of NaN is returned when the coordinates of the focal individual equal the coordinates of the leader.

Missing values in coordinates / geometry are ignored and NA is returned.

A message is returned when the direction_leader column already exist in the input DT because it will be overwritten.

See details for appending outputs using modify-by-reference in the FAQ.

Details

The DT must be a data.table. If your data is a data.frame, you can convert it by reference using data.table::setDT() or by reassigning using data.table::data.table().

This function expects a rank_position_group_direction column generated with leader_direction_group(return_rank = TRUE), a group column generated with the group_pts function. The group argument expects the name of the column in DT which correspond to the group column.

See below under "Interface" for details on providing coordinates and under "Direction function" for details on the underlying direction function used.

Interface

Two interfaces are available for providing coordinates:

  1. Provide coords and crs. The coords argument expects the names of the X and Y coordinate columns. The crs argument expects a character string or numeric defining the coordinate reference system to be passed to sf::st_crs. For example, for UTM zone 36S (EPSG 32736), the crs argument is crs = "EPSG:32736" or crs = 32736. See https://spatialreference.org for a list of EPSG codes.

  2. (New!) Provide geometry. The geometry argument allows the user to supply a geometry column that represents the coordinates as a simple feature geometry list column. This interface expects the user to prepare their input DT with get_geometry(). To use this interface, leave the coords and crs arguments NULL, and the default argument for geometry ('geometry') will be used directly.

Direction function

The underlying distance function used depends on the crs of the coordinates or geometry provided.

  • If the crs is provided and longlat degrees (as determined by sf::st_is_longlat()), the distance function is lwgeom::st_geod_azimuth().

  • If the crs is provided and not longlat degrees (eg. a projected UTM), the coordinates or geometry are transformed to sf::st_crs(4326) before the distance is measured using lwgeom::st_geod_azimuth().

  • If the crs is NULL or NA_crs_, the distance function cannot be used and an error is returned.

References

See examples of using direction to leader and position within group:

Examples

# Load data.table
library(data.table)

# Read example data
DT <- fread(system.file("extdata", "DT.csv", package = "spatsoc"))

# (Subset example data to reduce example run time)
DT <- DT[year(datetime) == 2016]

# Cast the character column to POSIXct
DT[, datetime := as.POSIXct(datetime, tz = 'UTC')]
#>           ID        X       Y            datetime population
#>       <char>    <num>   <num>              <POSc>      <int>
#>    1:      A 715851.4 5505340 2016-11-01 00:00:54          1
#>    2:      A 715822.8 5505289 2016-11-01 02:01:22          1
#>    3:      A 715872.9 5505252 2016-11-01 04:01:24          1
#>    4:      A 715820.5 5505231 2016-11-01 06:01:05          1
#>    5:      A 715830.6 5505227 2016-11-01 08:01:11          1
#>   ---                                                       
#> 7288:      J 700211.6 5509087 2016-12-31 14:00:49          1
#> 7289:      J 700165.3 5508825 2016-12-31 16:00:23          1
#> 7290:      J 700028.7 5508826 2016-12-31 18:00:53          1
#> 7291:      J 700230.9 5508609 2016-12-31 20:00:53          1
#> 7292:      J 700110.1 5508383 2016-12-31 22:00:54          1

# Temporal grouping
group_times(DT, datetime = 'datetime', threshold = '20 minutes')
#>           ID        X       Y            datetime population minutes timegroup
#>       <char>    <num>   <num>              <POSc>      <int>   <int>     <int>
#>    1:      A 715851.4 5505340 2016-11-01 00:00:54          1       0         1
#>    2:      A 715822.8 5505289 2016-11-01 02:01:22          1       0         2
#>    3:      A 715872.9 5505252 2016-11-01 04:01:24          1       0         3
#>    4:      A 715820.5 5505231 2016-11-01 06:01:05          1       0         4
#>    5:      A 715830.6 5505227 2016-11-01 08:01:11          1       0         5
#>   ---                                                                         
#> 7288:      J 700211.6 5509087 2016-12-31 14:00:49          1       0       728
#> 7289:      J 700165.3 5508825 2016-12-31 16:00:23          1       0       729
#> 7290:      J 700028.7 5508826 2016-12-31 18:00:53          1       0       730
#> 7291:      J 700230.9 5508609 2016-12-31 20:00:53          1       0       731
#> 7292:      J 700110.1 5508383 2016-12-31 22:00:54          1       0       732

# Spatial grouping with timegroup
group_pts(DT, threshold = 50, id = 'ID',
          coords = c('X', 'Y'), timegroup = 'timegroup')
#>           ID        X       Y            datetime population minutes timegroup
#>       <char>    <num>   <num>              <POSc>      <int>   <int>     <int>
#>    1:      A 715851.4 5505340 2016-11-01 00:00:54          1       0         1
#>    2:      A 715822.8 5505289 2016-11-01 02:01:22          1       0         2
#>    3:      A 715872.9 5505252 2016-11-01 04:01:24          1       0         3
#>    4:      A 715820.5 5505231 2016-11-01 06:01:05          1       0         4
#>    5:      A 715830.6 5505227 2016-11-01 08:01:11          1       0         5
#>   ---                                                                         
#> 7288:      J 700211.6 5509087 2016-12-31 14:00:49          1       0       728
#> 7289:      J 700165.3 5508825 2016-12-31 16:00:23          1       0       729
#> 7290:      J 700028.7 5508826 2016-12-31 18:00:53          1       0       730
#> 7291:      J 700230.9 5508609 2016-12-31 20:00:53          1       0       731
#> 7292:      J 700110.1 5508383 2016-12-31 22:00:54          1       0       732
#>       group
#>       <int>
#>    1:     1
#>    2:     2
#>    3:     3
#>    4:     4
#>    5:     5
#>   ---      
#> 7288:   728
#> 7289:   729
#> 7290:  5531
#> 7291:   731
#> 7292:  5532

# Calculate direction at each step
direction_step(
  DT = DT,
  id = 'ID',
  coords = c('X', 'Y'),
  crs = 32736
)
#>           ID        X       Y            datetime population minutes timegroup
#>       <char>    <num>   <num>              <POSc>      <int>   <int>     <int>
#>    1:      A 715851.4 5505340 2016-11-01 00:00:54          1       0         1
#>    2:      A 715822.8 5505289 2016-11-01 02:01:22          1       0         2
#>    3:      A 715872.9 5505252 2016-11-01 04:01:24          1       0         3
#>    4:      A 715820.5 5505231 2016-11-01 06:01:05          1       0         4
#>    5:      A 715830.6 5505227 2016-11-01 08:01:11          1       0         5
#>   ---                                                                         
#> 7288:      J 700211.6 5509087 2016-12-31 14:00:49          1       0       728
#> 7289:      J 700165.3 5508825 2016-12-31 16:00:23          1       0       729
#> 7290:      J 700028.7 5508826 2016-12-31 18:00:53          1       0       730
#> 7291:      J 700230.9 5508609 2016-12-31 20:00:53          1       0       731
#> 7292:      J 700110.1 5508383 2016-12-31 22:00:54          1       0       732
#>       group         direction
#>       <int>           <units>
#>    1:     1 -2.65649015 [rad]
#>    2:     2  2.17592086 [rad]
#>    3:     3 -1.98432277 [rad]
#>    4:     4  1.90650150 [rad]
#>    5:     5 -0.04059949 [rad]
#>   ---                        
#> 7288:   728 -2.99285448 [rad]
#> 7289:   729 -1.59174536 [rad]
#> 7290:  5531  2.36456688 [rad]
#> 7291:   731 -2.67757174 [rad]
#> 7292:  5532          NA [rad]

# Calculate group centroid
centroid_group(DT, coords = c('X', 'Y'))
#>           ID        X       Y            datetime population minutes timegroup
#>       <char>    <num>   <num>              <POSc>      <int>   <int>     <int>
#>    1:      A 715851.4 5505340 2016-11-01 00:00:54          1       0         1
#>    2:      A 715822.8 5505289 2016-11-01 02:01:22          1       0         2
#>    3:      A 715872.9 5505252 2016-11-01 04:01:24          1       0         3
#>    4:      A 715820.5 5505231 2016-11-01 06:01:05          1       0         4
#>    5:      A 715830.6 5505227 2016-11-01 08:01:11          1       0         5
#>   ---                                                                         
#> 7288:      J 700211.6 5509087 2016-12-31 14:00:49          1       0       728
#> 7289:      J 700165.3 5508825 2016-12-31 16:00:23          1       0       729
#> 7290:      J 700028.7 5508826 2016-12-31 18:00:53          1       0       730
#> 7291:      J 700230.9 5508609 2016-12-31 20:00:53          1       0       731
#> 7292:      J 700110.1 5508383 2016-12-31 22:00:54          1       0       732
#>       group         direction centroid_X centroid_Y
#>       <int>           <units>      <num>      <num>
#>    1:     1 -2.65649015 [rad]   715851.4    5505340
#>    2:     2  2.17592086 [rad]   715822.8    5505289
#>    3:     3 -1.98432277 [rad]   715872.9    5505252
#>    4:     4  1.90650150 [rad]   715820.5    5505231
#>    5:     5 -0.04059949 [rad]   715830.6    5505227
#>   ---                                              
#> 7288:   728 -2.99285448 [rad]   700191.6    5509089
#> 7289:   729 -1.59174536 [rad]   700156.0    5508800
#> 7290:  5531  2.36456688 [rad]   700028.7    5508826
#> 7291:   731 -2.67757174 [rad]   700254.6    5508589
#> 7292:  5532          NA [rad]   700110.1    5508383

# Calculate group direction
direction_group(DT)
#>           ID        X       Y            datetime population minutes timegroup
#>       <char>    <num>   <num>              <POSc>      <int>   <int>     <int>
#>    1:      A 715851.4 5505340 2016-11-01 00:00:54          1       0         1
#>    2:      A 715822.8 5505289 2016-11-01 02:01:22          1       0         2
#>    3:      A 715872.9 5505252 2016-11-01 04:01:24          1       0         3
#>    4:      A 715820.5 5505231 2016-11-01 06:01:05          1       0         4
#>    5:      A 715830.6 5505227 2016-11-01 08:01:11          1       0         5
#>   ---                                                                         
#> 7288:      J 700211.6 5509087 2016-12-31 14:00:49          1       0       728
#> 7289:      J 700165.3 5508825 2016-12-31 16:00:23          1       0       729
#> 7290:      J 700028.7 5508826 2016-12-31 18:00:53          1       0       730
#> 7291:      J 700230.9 5508609 2016-12-31 20:00:53          1       0       731
#> 7292:      J 700110.1 5508383 2016-12-31 22:00:54          1       0       732
#>       group         direction centroid_X centroid_Y   group_direction
#>       <int>           <units>      <num>      <num>           <units>
#>    1:     1 -2.65649015 [rad]   715851.4    5505340 -2.65649015 [rad]
#>    2:     2  2.17592086 [rad]   715822.8    5505289  2.17592086 [rad]
#>    3:     3 -1.98432277 [rad]   715872.9    5505252 -1.98432277 [rad]
#>    4:     4  1.90650150 [rad]   715820.5    5505231  1.90650150 [rad]
#>    5:     5 -0.04059949 [rad]   715830.6    5505227 -0.04059949 [rad]
#>   ---                                                                
#> 7288:   728 -2.99285448 [rad]   700191.6    5509089 -3.05184005 [rad]
#> 7289:   729 -1.59174536 [rad]   700156.0    5508800 -2.41173804 [rad]
#> 7290:  5531  2.36456688 [rad]   700028.7    5508826  2.36456688 [rad]
#> 7291:   731 -2.67757174 [rad]   700254.6    5508589 -1.70798015 [rad]
#> 7292:  5532          NA [rad]   700110.1    5508383          NA [rad]

# Calculate leader in terms of position along group direction
leader_direction_group(
  DT,
  coords = c('X', 'Y'),
  crs = 32736
)
#>           ID        X       Y            datetime population minutes timegroup
#>       <char>    <num>   <num>              <POSc>      <int>   <int>     <int>
#>    1:      A 715851.4 5505340 2016-11-01 00:00:54          1       0         1
#>    2:      A 715822.8 5505289 2016-11-01 02:01:22          1       0         2
#>    3:      A 715872.9 5505252 2016-11-01 04:01:24          1       0         3
#>    4:      A 715820.5 5505231 2016-11-01 06:01:05          1       0         4
#>    5:      A 715830.6 5505227 2016-11-01 08:01:11          1       0         5
#>   ---                                                                         
#> 7288:      J 700211.6 5509087 2016-12-31 14:00:49          1       0       728
#> 7289:      J 700165.3 5508825 2016-12-31 16:00:23          1       0       729
#> 7290:      J 700028.7 5508826 2016-12-31 18:00:53          1       0       730
#> 7291:      J 700230.9 5508609 2016-12-31 20:00:53          1       0       731
#> 7292:      J 700110.1 5508383 2016-12-31 22:00:54          1       0       732
#>       group         direction centroid_X centroid_Y   group_direction
#>       <int>           <units>      <num>      <num>           <units>
#>    1:     1 -2.65649015 [rad]   715851.4    5505340 -2.65649015 [rad]
#>    2:     2  2.17592086 [rad]   715822.8    5505289  2.17592086 [rad]
#>    3:     3 -1.98432277 [rad]   715872.9    5505252 -1.98432277 [rad]
#>    4:     4  1.90650150 [rad]   715820.5    5505231  1.90650150 [rad]
#>    5:     5 -0.04059949 [rad]   715830.6    5505227 -0.04059949 [rad]
#>   ---                                                                
#> 7288:   728 -2.99285448 [rad]   700191.6    5509089 -3.05184005 [rad]
#> 7289:   729 -1.59174536 [rad]   700156.0    5508800 -2.41173804 [rad]
#> 7290:  5531  2.36456688 [rad]   700028.7    5508826  2.36456688 [rad]
#> 7291:   731 -2.67757174 [rad]   700254.6    5508589 -1.70798015 [rad]
#> 7292:  5532          NA [rad]   700110.1    5508383          NA [rad]
#>       position_group_direction rank_position_group_direction
#>                          <num>                         <num>
#>    1:                  0.00000                             1
#>    2:                  0.00000                             1
#>    3:                  0.00000                             1
#>    4:                  0.00000                             1
#>    5:                  0.00000                             1
#>   ---                                                       
#> 7288:                -19.72453                             2
#> 7289:                -23.62960                             5
#> 7290:                  0.00000                             1
#> 7291:                -16.87561                             5
#> 7292:                       NA                            NA

# Or, using the new geometry interface
get_geometry(DT, coords = c('X', 'Y'), crs = 32736)
#>           ID        X       Y            datetime population minutes timegroup
#>       <char>    <num>   <num>              <POSc>      <int>   <int>     <int>
#>    1:      A 715851.4 5505340 2016-11-01 00:00:54          1       0         1
#>    2:      A 715822.8 5505289 2016-11-01 02:01:22          1       0         2
#>    3:      A 715872.9 5505252 2016-11-01 04:01:24          1       0         3
#>    4:      A 715820.5 5505231 2016-11-01 06:01:05          1       0         4
#>    5:      A 715830.6 5505227 2016-11-01 08:01:11          1       0         5
#>   ---                                                                         
#> 7288:      J 700211.6 5509087 2016-12-31 14:00:49          1       0       728
#> 7289:      J 700165.3 5508825 2016-12-31 16:00:23          1       0       729
#> 7290:      J 700028.7 5508826 2016-12-31 18:00:53          1       0       730
#> 7291:      J 700230.9 5508609 2016-12-31 20:00:53          1       0       731
#> 7292:      J 700110.1 5508383 2016-12-31 22:00:54          1       0       732
#>       group         direction centroid_X centroid_Y   group_direction
#>       <int>           <units>      <num>      <num>           <units>
#>    1:     1 -2.65649015 [rad]   715851.4    5505340 -2.65649015 [rad]
#>    2:     2  2.17592086 [rad]   715822.8    5505289  2.17592086 [rad]
#>    3:     3 -1.98432277 [rad]   715872.9    5505252 -1.98432277 [rad]
#>    4:     4  1.90650150 [rad]   715820.5    5505231  1.90650150 [rad]
#>    5:     5 -0.04059949 [rad]   715830.6    5505227 -0.04059949 [rad]
#>   ---                                                                
#> 7288:   728 -2.99285448 [rad]   700191.6    5509089 -3.05184005 [rad]
#> 7289:   729 -1.59174536 [rad]   700156.0    5508800 -2.41173804 [rad]
#> 7290:  5531  2.36456688 [rad]   700028.7    5508826  2.36456688 [rad]
#> 7291:   731 -2.67757174 [rad]   700254.6    5508589 -1.70798015 [rad]
#> 7292:  5532          NA [rad]   700110.1    5508383          NA [rad]
#>       position_group_direction rank_position_group_direction
#>                          <num>                         <num>
#>    1:                  0.00000                             1
#>    2:                  0.00000                             1
#>    3:                  0.00000                             1
#>    4:                  0.00000                             1
#>    5:                  0.00000                             1
#>   ---                                                       
#> 7288:                -19.72453                             2
#> 7289:                -23.62960                             5
#> 7290:                  0.00000                             1
#> 7291:                -16.87561                             5
#> 7292:                       NA                            NA
#>                       geometry
#>                    <sfc_POINT>
#>    1: POINT (715851.4 5505340)
#>    2: POINT (715822.8 5505289)
#>    3: POINT (715872.9 5505252)
#>    4: POINT (715820.5 5505231)
#>    5: POINT (715830.6 5505227)
#>   ---                         
#> 7288: POINT (700211.6 5509087)
#> 7289: POINT (700165.3 5508825)
#> 7290: POINT (700028.7 5508826)
#> 7291: POINT (700230.9 5508609)
#> 7292: POINT (700110.1 5508383)
group_pts(DT, threshold = 5, id = 'ID', timegroup = 'timegroup')
#> group column will be overwritten by this function
#>           ID        X       Y            datetime population minutes timegroup
#>       <char>    <num>   <num>              <POSc>      <int>   <int>     <int>
#>    1:      A 715851.4 5505340 2016-11-01 00:00:54          1       0         1
#>    2:      A 715822.8 5505289 2016-11-01 02:01:22          1       0         2
#>    3:      A 715872.9 5505252 2016-11-01 04:01:24          1       0         3
#>    4:      A 715820.5 5505231 2016-11-01 06:01:05          1       0         4
#>    5:      A 715830.6 5505227 2016-11-01 08:01:11          1       0         5
#>   ---                                                                         
#> 7288:      J 700211.6 5509087 2016-12-31 14:00:49          1       0       728
#> 7289:      J 700165.3 5508825 2016-12-31 16:00:23          1       0       729
#> 7290:      J 700028.7 5508826 2016-12-31 18:00:53          1       0       730
#> 7291:      J 700230.9 5508609 2016-12-31 20:00:53          1       0       731
#> 7292:      J 700110.1 5508383 2016-12-31 22:00:54          1       0       732
#>               direction centroid_X centroid_Y   group_direction
#>                 <units>      <num>      <num>           <units>
#>    1: -2.65649015 [rad]   715851.4    5505340 -2.65649015 [rad]
#>    2:  2.17592086 [rad]   715822.8    5505289  2.17592086 [rad]
#>    3: -1.98432277 [rad]   715872.9    5505252 -1.98432277 [rad]
#>    4:  1.90650150 [rad]   715820.5    5505231  1.90650150 [rad]
#>    5: -0.04059949 [rad]   715830.6    5505227 -0.04059949 [rad]
#>   ---                                                          
#> 7288: -2.99285448 [rad]   700191.6    5509089 -3.05184005 [rad]
#> 7289: -1.59174536 [rad]   700156.0    5508800 -2.41173804 [rad]
#> 7290:  2.36456688 [rad]   700028.7    5508826  2.36456688 [rad]
#> 7291: -2.67757174 [rad]   700254.6    5508589 -1.70798015 [rad]
#> 7292:          NA [rad]   700110.1    5508383          NA [rad]
#>       position_group_direction rank_position_group_direction
#>                          <num>                         <num>
#>    1:                  0.00000                             1
#>    2:                  0.00000                             1
#>    3:                  0.00000                             1
#>    4:                  0.00000                             1
#>    5:                  0.00000                             1
#>   ---                                                       
#> 7288:                -19.72453                             2
#> 7289:                -23.62960                             5
#> 7290:                  0.00000                             1
#> 7291:                -16.87561                             5
#> 7292:                       NA                            NA
#>                       geometry group
#>                    <sfc_POINT> <int>
#>    1: POINT (715851.4 5505340)     1
#>    2: POINT (715822.8 5505289)     2
#>    3: POINT (715872.9 5505252)     3
#>    4: POINT (715820.5 5505231)     4
#>    5: POINT (715830.6 5505227)     5
#>   ---                               
#> 7288: POINT (700211.6 5509087)  7135
#> 7289: POINT (700165.3 5508825)  7136
#> 7290: POINT (700028.7 5508826)  7137
#> 7291: POINT (700230.9 5508609)  7138
#> 7292: POINT (700110.1 5508383)  7139
direction_step(
  DT = DT,
  id = 'ID'
)
#> direction column will be overwritten by this function
#>           ID        X       Y            datetime population minutes timegroup
#>       <char>    <num>   <num>              <POSc>      <int>   <int>     <int>
#>    1:      A 715851.4 5505340 2016-11-01 00:00:54          1       0         1
#>    2:      A 715822.8 5505289 2016-11-01 02:01:22          1       0         2
#>    3:      A 715872.9 5505252 2016-11-01 04:01:24          1       0         3
#>    4:      A 715820.5 5505231 2016-11-01 06:01:05          1       0         4
#>    5:      A 715830.6 5505227 2016-11-01 08:01:11          1       0         5
#>   ---                                                                         
#> 7288:      J 700211.6 5509087 2016-12-31 14:00:49          1       0       728
#> 7289:      J 700165.3 5508825 2016-12-31 16:00:23          1       0       729
#> 7290:      J 700028.7 5508826 2016-12-31 18:00:53          1       0       730
#> 7291:      J 700230.9 5508609 2016-12-31 20:00:53          1       0       731
#> 7292:      J 700110.1 5508383 2016-12-31 22:00:54          1       0       732
#>       centroid_X centroid_Y   group_direction position_group_direction
#>            <num>      <num>           <units>                    <num>
#>    1:   715851.4    5505340 -2.65649015 [rad]                  0.00000
#>    2:   715822.8    5505289  2.17592086 [rad]                  0.00000
#>    3:   715872.9    5505252 -1.98432277 [rad]                  0.00000
#>    4:   715820.5    5505231  1.90650150 [rad]                  0.00000
#>    5:   715830.6    5505227 -0.04059949 [rad]                  0.00000
#>   ---                                                                 
#> 7288:   700191.6    5509089 -3.05184005 [rad]                -19.72453
#> 7289:   700156.0    5508800 -2.41173804 [rad]                -23.62960
#> 7290:   700028.7    5508826  2.36456688 [rad]                  0.00000
#> 7291:   700254.6    5508589 -1.70798015 [rad]                -16.87561
#> 7292:   700110.1    5508383          NA [rad]                       NA
#>       rank_position_group_direction                 geometry group
#>                               <num>              <sfc_POINT> <int>
#>    1:                             1 POINT (715851.4 5505340)     1
#>    2:                             1 POINT (715822.8 5505289)     2
#>    3:                             1 POINT (715872.9 5505252)     3
#>    4:                             1 POINT (715820.5 5505231)     4
#>    5:                             1 POINT (715830.6 5505227)     5
#>   ---                                                             
#> 7288:                             2 POINT (700211.6 5509087)  7135
#> 7289:                             5 POINT (700165.3 5508825)  7136
#> 7290:                             1 POINT (700028.7 5508826)  7137
#> 7291:                             5 POINT (700230.9 5508609)  7138
#> 7292:                            NA POINT (700110.1 5508383)  7139
#>               direction
#>                 <units>
#>    1: -2.65649015 [rad]
#>    2:  2.17592086 [rad]
#>    3: -1.98432277 [rad]
#>    4:  1.90650150 [rad]
#>    5: -0.04059949 [rad]
#>   ---                  
#> 7288: -2.99285448 [rad]
#> 7289: -1.59174536 [rad]
#> 7290:  2.36456688 [rad]
#> 7291: -2.67757174 [rad]
#> 7292:          NA [rad]
centroid_group(DT)
#>           ID        X       Y            datetime population minutes timegroup
#>       <char>    <num>   <num>              <POSc>      <int>   <int>     <int>
#>    1:      A 715851.4 5505340 2016-11-01 00:00:54          1       0         1
#>    2:      A 715822.8 5505289 2016-11-01 02:01:22          1       0         2
#>    3:      A 715872.9 5505252 2016-11-01 04:01:24          1       0         3
#>    4:      A 715820.5 5505231 2016-11-01 06:01:05          1       0         4
#>    5:      A 715830.6 5505227 2016-11-01 08:01:11          1       0         5
#>   ---                                                                         
#> 7288:      J 700211.6 5509087 2016-12-31 14:00:49          1       0       728
#> 7289:      J 700165.3 5508825 2016-12-31 16:00:23          1       0       729
#> 7290:      J 700028.7 5508826 2016-12-31 18:00:53          1       0       730
#> 7291:      J 700230.9 5508609 2016-12-31 20:00:53          1       0       731
#> 7292:      J 700110.1 5508383 2016-12-31 22:00:54          1       0       732
#>       centroid_X centroid_Y   group_direction position_group_direction
#>            <num>      <num>           <units>                    <num>
#>    1:   715851.4    5505340 -2.65649015 [rad]                  0.00000
#>    2:   715822.8    5505289  2.17592086 [rad]                  0.00000
#>    3:   715872.9    5505252 -1.98432277 [rad]                  0.00000
#>    4:   715820.5    5505231  1.90650150 [rad]                  0.00000
#>    5:   715830.6    5505227 -0.04059949 [rad]                  0.00000
#>   ---                                                                 
#> 7288:   700191.6    5509089 -3.05184005 [rad]                -19.72453
#> 7289:   700156.0    5508800 -2.41173804 [rad]                -23.62960
#> 7290:   700028.7    5508826  2.36456688 [rad]                  0.00000
#> 7291:   700254.6    5508589 -1.70798015 [rad]                -16.87561
#> 7292:   700110.1    5508383          NA [rad]                       NA
#>       rank_position_group_direction                 geometry group
#>                               <num>              <sfc_POINT> <int>
#>    1:                             1 POINT (715851.4 5505340)     1
#>    2:                             1 POINT (715822.8 5505289)     2
#>    3:                             1 POINT (715872.9 5505252)     3
#>    4:                             1 POINT (715820.5 5505231)     4
#>    5:                             1 POINT (715830.6 5505227)     5
#>   ---                                                             
#> 7288:                             2 POINT (700211.6 5509087)  7135
#> 7289:                             5 POINT (700165.3 5508825)  7136
#> 7290:                             1 POINT (700028.7 5508826)  7137
#> 7291:                             5 POINT (700230.9 5508609)  7138
#> 7292:                            NA POINT (700110.1 5508383)  7139
#>               direction                 centroid
#>                 <units>              <sfc_POINT>
#>    1: -2.65649015 [rad] POINT (715851.4 5505340)
#>    2:  2.17592086 [rad] POINT (715822.8 5505289)
#>    3: -1.98432277 [rad] POINT (715872.9 5505252)
#>    4:  1.90650150 [rad] POINT (715820.5 5505231)
#>    5: -0.04059949 [rad] POINT (715830.6 5505227)
#>   ---                                           
#> 7288: -2.99285448 [rad] POINT (700211.6 5509087)
#> 7289: -1.59174536 [rad] POINT (700165.3 5508825)
#> 7290:  2.36456688 [rad] POINT (700028.7 5508826)
#> 7291: -2.67757174 [rad] POINT (700230.9 5508609)
#> 7292:          NA [rad] POINT (700110.1 5508383)
direction_group(DT)
#> group_direction column will be overwritten by this function
#>           ID        X       Y            datetime population minutes timegroup
#>       <char>    <num>   <num>              <POSc>      <int>   <int>     <int>
#>    1:      A 715851.4 5505340 2016-11-01 00:00:54          1       0         1
#>    2:      A 715822.8 5505289 2016-11-01 02:01:22          1       0         2
#>    3:      A 715872.9 5505252 2016-11-01 04:01:24          1       0         3
#>    4:      A 715820.5 5505231 2016-11-01 06:01:05          1       0         4
#>    5:      A 715830.6 5505227 2016-11-01 08:01:11          1       0         5
#>   ---                                                                         
#> 7288:      J 700211.6 5509087 2016-12-31 14:00:49          1       0       728
#> 7289:      J 700165.3 5508825 2016-12-31 16:00:23          1       0       729
#> 7290:      J 700028.7 5508826 2016-12-31 18:00:53          1       0       730
#> 7291:      J 700230.9 5508609 2016-12-31 20:00:53          1       0       731
#> 7292:      J 700110.1 5508383 2016-12-31 22:00:54          1       0       732
#>       centroid_X centroid_Y position_group_direction
#>            <num>      <num>                    <num>
#>    1:   715851.4    5505340                  0.00000
#>    2:   715822.8    5505289                  0.00000
#>    3:   715872.9    5505252                  0.00000
#>    4:   715820.5    5505231                  0.00000
#>    5:   715830.6    5505227                  0.00000
#>   ---                                               
#> 7288:   700191.6    5509089                -19.72453
#> 7289:   700156.0    5508800                -23.62960
#> 7290:   700028.7    5508826                  0.00000
#> 7291:   700254.6    5508589                -16.87561
#> 7292:   700110.1    5508383                       NA
#>       rank_position_group_direction                 geometry group
#>                               <num>              <sfc_POINT> <int>
#>    1:                             1 POINT (715851.4 5505340)     1
#>    2:                             1 POINT (715822.8 5505289)     2
#>    3:                             1 POINT (715872.9 5505252)     3
#>    4:                             1 POINT (715820.5 5505231)     4
#>    5:                             1 POINT (715830.6 5505227)     5
#>   ---                                                             
#> 7288:                             2 POINT (700211.6 5509087)  7135
#> 7289:                             5 POINT (700165.3 5508825)  7136
#> 7290:                             1 POINT (700028.7 5508826)  7137
#> 7291:                             5 POINT (700230.9 5508609)  7138
#> 7292:                            NA POINT (700110.1 5508383)  7139
#>               direction                 centroid   group_direction
#>                 <units>              <sfc_POINT>           <units>
#>    1: -2.65649015 [rad] POINT (715851.4 5505340) -2.65649015 [rad]
#>    2:  2.17592086 [rad] POINT (715822.8 5505289)  2.17592086 [rad]
#>    3: -1.98432277 [rad] POINT (715872.9 5505252) -1.98432277 [rad]
#>    4:  1.90650150 [rad] POINT (715820.5 5505231)  1.90650150 [rad]
#>    5: -0.04059949 [rad] POINT (715830.6 5505227) -0.04059949 [rad]
#>   ---                                                             
#> 7288: -2.99285448 [rad] POINT (700211.6 5509087) -2.99285448 [rad]
#> 7289: -1.59174536 [rad] POINT (700165.3 5508825) -1.59174536 [rad]
#> 7290:  2.36456688 [rad] POINT (700028.7 5508826)  2.36456688 [rad]
#> 7291: -2.67757174 [rad] POINT (700230.9 5508609) -2.67757174 [rad]
#> 7292:          NA [rad] POINT (700110.1 5508383)          NA [rad]
leader_direction_group(
  DT
)
#> position_group_direction column will be overwritten by this function
#> rank_position_group_direction column will be overwritten by this function
#>           ID        X       Y            datetime population minutes timegroup
#>       <char>    <num>   <num>              <POSc>      <int>   <int>     <int>
#>    1:      A 715851.4 5505340 2016-11-01 00:00:54          1       0         1
#>    2:      A 715822.8 5505289 2016-11-01 02:01:22          1       0         2
#>    3:      A 715872.9 5505252 2016-11-01 04:01:24          1       0         3
#>    4:      A 715820.5 5505231 2016-11-01 06:01:05          1       0         4
#>    5:      A 715830.6 5505227 2016-11-01 08:01:11          1       0         5
#>   ---                                                                         
#> 7288:      J 700211.6 5509087 2016-12-31 14:00:49          1       0       728
#> 7289:      J 700165.3 5508825 2016-12-31 16:00:23          1       0       729
#> 7290:      J 700028.7 5508826 2016-12-31 18:00:53          1       0       730
#> 7291:      J 700230.9 5508609 2016-12-31 20:00:53          1       0       731
#> 7292:      J 700110.1 5508383 2016-12-31 22:00:54          1       0       732
#>       centroid_X centroid_Y                 geometry group         direction
#>            <num>      <num>              <sfc_POINT> <int>           <units>
#>    1:   715851.4    5505340 POINT (715851.4 5505340)     1 -2.65649015 [rad]
#>    2:   715822.8    5505289 POINT (715822.8 5505289)     2  2.17592086 [rad]
#>    3:   715872.9    5505252 POINT (715872.9 5505252)     3 -1.98432277 [rad]
#>    4:   715820.5    5505231 POINT (715820.5 5505231)     4  1.90650150 [rad]
#>    5:   715830.6    5505227 POINT (715830.6 5505227)     5 -0.04059949 [rad]
#>   ---                                                                       
#> 7288:   700191.6    5509089 POINT (700211.6 5509087)  7135 -2.99285448 [rad]
#> 7289:   700156.0    5508800 POINT (700165.3 5508825)  7136 -1.59174536 [rad]
#> 7290:   700028.7    5508826 POINT (700028.7 5508826)  7137  2.36456688 [rad]
#> 7291:   700254.6    5508589 POINT (700230.9 5508609)  7138 -2.67757174 [rad]
#> 7292:   700110.1    5508383 POINT (700110.1 5508383)  7139          NA [rad]
#>                       centroid   group_direction position_group_direction
#>                    <sfc_POINT>           <units>                    <num>
#>    1: POINT (715851.4 5505340) -2.65649015 [rad]                        0
#>    2: POINT (715822.8 5505289)  2.17592086 [rad]                        0
#>    3: POINT (715872.9 5505252) -1.98432277 [rad]                        0
#>    4: POINT (715820.5 5505231)  1.90650150 [rad]                        0
#>    5: POINT (715830.6 5505227) -0.04059949 [rad]                        0
#>   ---                                                                    
#> 7288: POINT (700211.6 5509087) -2.99285448 [rad]                        0
#> 7289: POINT (700165.3 5508825) -1.59174536 [rad]                        0
#> 7290: POINT (700028.7 5508826)  2.36456688 [rad]                        0
#> 7291: POINT (700230.9 5508609) -2.67757174 [rad]                        0
#> 7292: POINT (700110.1 5508383)          NA [rad]                       NA
#>       rank_position_group_direction
#>                               <num>
#>    1:                             1
#>    2:                             1
#>    3:                             1
#>    4:                             1
#>    5:                             1
#>   ---                              
#> 7288:                             1
#> 7289:                             1
#> 7290:                             1
#> 7291:                             1
#> 7292:                            NA
direction_to_leader(DT)
#> Warning: groups found missing leader (rank_position_group_direction == 1): 
#> 732, 1464, 2184, 2914, 3637, 4359, 5034, 5728, 6417, 7139
#>           ID        X       Y            datetime population minutes timegroup
#>       <char>    <num>   <num>              <POSc>      <int>   <int>     <int>
#>    1:      A 715851.4 5505340 2016-11-01 00:00:54          1       0         1
#>    2:      A 715822.8 5505289 2016-11-01 02:01:22          1       0         2
#>    3:      A 715872.9 5505252 2016-11-01 04:01:24          1       0         3
#>    4:      A 715820.5 5505231 2016-11-01 06:01:05          1       0         4
#>    5:      A 715830.6 5505227 2016-11-01 08:01:11          1       0         5
#>   ---                                                                         
#> 7288:      J 700211.6 5509087 2016-12-31 14:00:49          1       0       728
#> 7289:      J 700165.3 5508825 2016-12-31 16:00:23          1       0       729
#> 7290:      J 700028.7 5508826 2016-12-31 18:00:53          1       0       730
#> 7291:      J 700230.9 5508609 2016-12-31 20:00:53          1       0       731
#> 7292:      J 700110.1 5508383 2016-12-31 22:00:54          1       0       732
#>       centroid_X centroid_Y                 geometry group         direction
#>            <num>      <num>              <sfc_POINT> <int>           <units>
#>    1:   715851.4    5505340 POINT (715851.4 5505340)     1 -2.65649015 [rad]
#>    2:   715822.8    5505289 POINT (715822.8 5505289)     2  2.17592086 [rad]
#>    3:   715872.9    5505252 POINT (715872.9 5505252)     3 -1.98432277 [rad]
#>    4:   715820.5    5505231 POINT (715820.5 5505231)     4  1.90650150 [rad]
#>    5:   715830.6    5505227 POINT (715830.6 5505227)     5 -0.04059949 [rad]
#>   ---                                                                       
#> 7288:   700191.6    5509089 POINT (700211.6 5509087)  7135 -2.99285448 [rad]
#> 7289:   700156.0    5508800 POINT (700165.3 5508825)  7136 -1.59174536 [rad]
#> 7290:   700028.7    5508826 POINT (700028.7 5508826)  7137  2.36456688 [rad]
#> 7291:   700254.6    5508589 POINT (700230.9 5508609)  7138 -2.67757174 [rad]
#> 7292:   700110.1    5508383 POINT (700110.1 5508383)  7139          NA [rad]
#>                       centroid   group_direction position_group_direction
#>                    <sfc_POINT>           <units>                    <num>
#>    1: POINT (715851.4 5505340) -2.65649015 [rad]                        0
#>    2: POINT (715822.8 5505289)  2.17592086 [rad]                        0
#>    3: POINT (715872.9 5505252) -1.98432277 [rad]                        0
#>    4: POINT (715820.5 5505231)  1.90650150 [rad]                        0
#>    5: POINT (715830.6 5505227) -0.04059949 [rad]                        0
#>   ---                                                                    
#> 7288: POINT (700211.6 5509087) -2.99285448 [rad]                        0
#> 7289: POINT (700165.3 5508825) -1.59174536 [rad]                        0
#> 7290: POINT (700028.7 5508826)  2.36456688 [rad]                        0
#> 7291: POINT (700230.9 5508609) -2.67757174 [rad]                        0
#> 7292: POINT (700110.1 5508383)          NA [rad]                       NA
#>       rank_position_group_direction direction_leader
#>                               <num>          <units>
#>    1:                             1        NaN [rad]
#>    2:                             1        NaN [rad]
#>    3:                             1        NaN [rad]
#>    4:                             1        NaN [rad]
#>    5:                             1        NaN [rad]
#>   ---                                               
#> 7288:                             1        NaN [rad]
#> 7289:                             1        NaN [rad]
#> 7290:                             1        NaN [rad]
#> 7291:                             1        NaN [rad]
#> 7292:                            NA         NA [rad]