Statistical Prediction of Waterspout Probability for The
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1 STATISTICAL PREDICTION OF WATERSPOUT PROBABILITY FOR THE 2 FLORIDA KEYS 3 1* 2 4 Andrew Devanas , Lydia Stefanova 5 1 6 NOAA/National Weather Service, Key West, FL 2 7 COAPS/Florida State University, Tallahassee, FL 8 9 10 11 Submitted to Weather and Forecasting 12 7 July 2017 13 Revised 24 November 2017, 13 January 2018 14 1* Corresponding author: [email protected] 15 ABSTRACT 16 17 A statistical model of waterspout probability was developed for the wet season (June-September) 18 days over the Florida Keys. An analysis was performed on over 200 separate variables derived 19 from Key West 1200 UTC daily wet season soundings during the period 2006-2014. These 20 variables were separated into two subsets: days on which a waterspout was reported anywhere in 21 the Florida Keys coastal waters, and days on which no waterspouts were reported. Days on 22 which waterspouts were reported were determined from the National Weather Service (NWS) 23 Key West Local Storm Reports. The sounding at Key West was used for this analysis since it 24 was assumed representative of the atmospheric environment over the area evaluated in this study. 25 The probability of a waterspout report day was modeled using multiple logistic regression with 26 selected predictors obtained from the sounding variables. The final model containing eight 27 separate variables was validated using repeated 5-fold cross-validation, and its performance was 28 compared to that of an existing waterspout index used as a benchmark. The performance of the 29 model was further validated in forecast mode using an independent verification wet season data 30 set from 2015-2016 that was not used to define or train the model. The eight-predictor model 31 was found to produce a probability forecast with robust skill relative to climatology and superior 32 to the benchmark waterspout index in both the cross-validation and in the independent 33 verification. 34 2 35 1. Introduction 36 37 The frequency of non-supercell waterspouts in the Florida Keys is higher than any other location 38 in the United States and may be one of the highest in the world, with hundreds of waterspouts 39 occurring each year in the waters surrounding the Florida Keys (Golden 2003). Waterspouts are 40 a marine hazard, and do occasionally come on shore resulting in damage to coastal structures. 41 Objective waterspout guidance for the Key West area is limited, and forecasters rely mainly on 42 subjective techniques and empirical rules of thumb to forecast the possibility of waterspout 43 development. A reliable objective guidance that can be used in combination with available 44 subjective tools would likely aid the forecast process. 45 46 Only a fraction of waterspouts are observed and recorded. During the Lower Keys Waterspout 47 Project in 1969, at least 400 waterspouts were documented (Golden 1974). Golden (1977) 48 estimated that between 50-500 waterspouts occur each year over the Florida Keys coastal waters. 49 Given that approximately 25 waterspouts, on average, are reported during the wet season 50 (estimated from 2006-2014 reports discussed in section 2), waterspouts may be underreported by 51 up to an order of magnitude, a conjecture also made by Golden and Bluestein (1994). Florida 52 Keys waterspouts have been reported in every month of the year, although less frequently from 53 October to May. Waterspout formation is noticeably more frequent during the wet season, June 54 to September, with a primary maximum in June (Fig. 1), consistent with Golden (2003). The 55 months of May and October are considered transition months (dry to wet and wet to dry season 56 respectively), during which midlatitude influences can vary greatly from year to year. Therefore, 57 the transition months were excluded from this study. During the wet season months in the 3 58 present study waterspouts were reported on approximately 19% of all days. 59 60 Rossow (1970) noted that it is not possible to distinguish a likely waterspout day from one that is 61 not, because the weather is nearly the same during the wet season. The atmospheric environment 62 over the Florida Keys exhibits mainly incremental day-to-day variations in the temperature and 63 moisture profile. Because of this, it is difficult to readily differentiate between days that are more 64 favorable for waterspout development and days that are less favorable simply by examining 65 soundings, sounding climatologies, or individual parameters or stability indices derived from the 66 soundings. Nonetheless, the atmosphere over the Florida Keys does experience a degree of 67 variability. For example, tropical features such as easterly waves and tropospheric upper level 68 trough cells traverse the area surrounding the Keys throughout the wet season. Changes in the 69 position and strength of the Bermuda High, as well as the flow off the mainland and Cuba, may 70 result in changes of wind patterns and temperature and moisture profiles. 71 72 Schwiesow (1981), as well as Sioutas and Keul (2007), noted that traditional stability indices in 73 isolation did not perform well as indicators of a favorable waterspout development environment. 74 Several previous efforts to quantify favorable conditions for waterspout development have been 75 done using sounding parameters as well as synoptic scale analysis. Golden and Bluestein (1994) 76 noted that the thermodynamic soundings originating from the NWS Weather Forecast Office in -1 77 Key West, Florida on waterspout days revealed relatively light low-level winds (5-8 m s ), light 78 shear, and abundant moisture in the boundary layer with drier air above. Golden (2003) 79 expressed concern that a mean sounding climatology, or the NWS Key West sounding, could not 80 adequately capture the superadiabatic lapse rates observed in the sub-cloud layer of waterspout- 4 81 producing cumulus observed in his studies. 82 83 Spratt and Choy (1994) examined data from the period 1979-1992 identifying days with at least 84 one waterspout report in conjunction with soundings from Tampa, West Palm Beach, and Cape 85 Canaveral. They determined that light winds at discrete levels through the lower troposphere (up 86 to 500 mb) and total precipitable water vapor levels in excess of 4.1 cm (1.6 in) produced 87 favorable conditions for waterspout development. They combined these sounding-derived 88 parameters with WSR-88D radar information to build a five-step waterspout forecast strategy. 89 90 Brown and Rothfuss (1998) developed a basic waterspout index for the Florida Keys and South 91 Florida which included mean wind direction and speed below 600 mb, as well as a qualifier for 92 whether a waterspout occurred on the previous day. The values obtained were assigned a value 93 of 0.5 or 1 according to a table, and a sum equaling 2 or greater was considered favorable for 94 waterspout development. 95 96 An index developed by Kuiper and van der Haven (2007) used the product of four weighted 97 parameters (0-3 km wind shear, 0-500 m lapse rate, 0-1 km average humidity, and 10 m wind 98 speed) to indicate the risk of waterspout development over the shallow waters of the North Sea 99 off the coast of the Netherlands (the Kuiper Haven Spout Index, or KHS-index). The KHS-index 100 has been implemented in the locally run High Resolution Limited Area Model (HiRLAM) at the 101 Royal Netherlands Meteorological Institute. 102 103 A study of waterspouts over the Adriatic, Ionian, and Aegean Seas by Sioutas and Keul (2007) 5 104 examined several thermodynamic indices derived from proximity sounding data in relation to 105 waterspout development. They found that “fair weather” waterspouts were mainly a result of a 106 preexisting unstable air mass and low wind shear. Of the thermodynamic indices examined in the 107 study, they stated that the K-Index and the Total Totals Index were good indicators of an 108 unstable environment and useful in identifying favorable tornadic and fair weather waterspout 109 environments. Other thermodynamic indices they examined did not perform as well from a 110 predictive standpoint. 111 112 A follow up study (Keul et. al. 2009) examined the performance of the Szilagyi waterspout 113 forecasting technique (Szilagyi 2009) as a predictor for Mediterranean waterspout occurrence. 114 The Szilagyi technique uses a nomogram to compare the difference between sea surface 115 temperature and the 850 mb temperature against the convective cloud depth, and is also available 116 as an index (Szilagyi Waterspout Index). Values of the Szilagyi Waterspout Index range from - 117 10 to 10, with values greater than zero considered a favorable waterspout environment. 118 119 The NASA Applied Meteorology Unit (AMU) at the Kennedy Space Center in Florida used a 120 combination of four factors (monthly climatology, vertical wind profile, precipitable water, and 121 persistence) to determine the weak waterspout (“fair weather” waterspout) potential for the day 122 (Wheeler 2009). The value produced by the methodology is compared to a table to ascertain 123 whether the threat level for the day is low, medium, or high. An AMU follow up study (Watson 124 2011) used a logistic regression technique similar to that in the present study to evaluate the 125 probability of severe weather occurrence at the Kennedy Space Center. However, it did not 126 include a re-evaluation of the weak waterspout methodology outlined in Wheeler (2009). Watson 6 127 (2011) found that using logistic regression did not show an improvement over their existing 128 severe weather likelihood methodology. 129 130 A common thread found through many studies (Spratt and Choy 1994, Brown and Rothfuss 131 1998, Golden 2003, Kuiper and van der Haven 2007, Sioutas and Keul 2007, Wheeler 2009) is 132 the presence of weak lower tropospheric winds and/or weak lower tropospheric shear as a 133 favorable environment for waterspout development.