Methodology
WHITS uses the 3-hourly IBTrACS dataset and retains the original timestamp and IBTrACS identifier for each observation on every segment.
HITS and WHITS both use the bisquare kernel function (equation 5b) to calculate the probability of jumping to another track, considering distance (5c), comparative vector (5d), and age (5e). WHITS adds wind speed as an additional variable. The outer exponent, or degree, of the bisquare kernel for each variable determines how unlikely it is to make a jump to a very different track.
In WHITS, the kernel degree is increased from 2 to 6 for both the comparative vector and wind, while distance and age remain at degree 2. For distance and age, the probability at the outer edge (beyond the 90th percentile) is 0.0361. For the comparative vector and wind, after testing various exponents and settling on 6, the probability at the outer edge drops to 0.000047. This means that while such jumps are not impossible, they are extremely unlikely—about three orders of magnitude less likely to jump to a track with a large wind difference compared to using a degree of 2.
The difference between the point to jump to and the next point on the original track is computed as delta_lon and delta_lat. Segments are shifted by delta_lon and delta_lat to create more continuous tracks. Jumps are smoothed further in a window 6 hours before and after. Note that it is important that the smoothing does not occur over the whole simulated track.
- 90° turns - examples N. Atlantic: Charley (2004), Wilma (2005), Babe (1977), Elena (1985), Michael (2018), Franklin (2023), W. Pacific: In-fa (2021), Lionrock (2016 - both 90° turn and loop), Jongdari (2018), C. Pacific: Walaka (2018)
- hair pin turns - examples N. Atlantic: Ingrid (2013), Joaquin (2015), Alice (1954/55), Idalia (2023), W. Pacific: Noru (2017)
- loop de loops - examples N. Atlantic: Jeanne (2004), Betsy (1965), Danielle (2022 - 2), Don (2023), Nigel (2023), Katia (2023), Margot (2023), Rafael (2024), W. Pacific: Wayne (1986), Opal (1962), Vera (1959)
- and other unique shapes -
examples N. Atlantic: a pretzel Gert (2023), a bow Juan (1985), a figure eight Leslie (2018), a leaf Tropical Storm Karl (2022)
In the segments between jumps, are retained. We have an unbiased sampling of natural track behavior.
Storm tracks during the 2023 North Atlantic tropical cyclone season (below from NASA/NHC) showcase the diverse patterns that occur naturally.