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Tropical Cyclone Rainfall over Puerto
Rico and its relations to Environmental
and Storm Specific Factors
José J. Hernández Ayala
PhD Student
Department of Geography
University of Florida
Objectives and Importance
• Understand how environmental and storm specific factors affect TC
rainfall over Puerto Rico.
• Identify the most important factors that cause TC rainfall variability.
• Heavy rainfall from tropical depression Isabel in October of 1985
triggered one of the deadliest mudslide events in North American
history killing 130 people (Jibson, 1989; Larsen and Simon, 1993).
TC Tracks 1970-2010
Problem Statement
• Which factors or conditions affect tropical cyclone rainfall variability over
the island of Puerto Rico?
• Intensity?
• Horizontal Translation Speed?
• Environmental Moisture?
• Proximity to Storm Center?
• Vertical Wind Shear?
• Storm Center Location?
• Storm Duration?
Literature on TCs and Puerto Rico
• Puerto Rico is subject to frequent and severe impacts from Hurricanes (Dunn and Miller
1964, Simpson & Riehl 1981, Diaz & Pulwarty 1997).
• The frequency with which a tropical cyclone passes directly over Puerto Rico is
small (Scatena and Larsen, 1991).
• A comprehensive study of hurricanes in P.R based on meteorological principles
and the historical record is lacking (Boose, Serrano &Foster 2004).
• Storm rainfall totals of 500 mm are common for hurricanes in Puerto Rico (Riehl, 1979).
• Some Caribbean storms have reportedly produced more than 2000 mm (Gupta, 1988).
Area of Study
• Puerto Rico is located 18.5
˚N & 66.5˚ W.
• The total population of the
island is approximately 3.7
million.
Rainfall over Puerto Rico
Data Sources
• Daily Rainfall from 32 rain gauges in mm (NCDC)
• Tropical Cyclone Tracks from 1970-2010 (IBTrACS)
• Daily Environmental Variables (NCEP/NCAR)
• Puerto Rico Digital Elevation Model (USGS)
Methods
• Tracks within 500 km of PR were selected with a GIS.
• 86 TCs were identified using this parameters.
• Daily rainfall data for each specific period for each TC was obtained.
• An averaged total rainfall value for all 32 stations was calculated for each TC.
• Data for 12-24 hr. for one day, add up other days with 12 hr. >
• Independent variables were measured using the same parameters used for rainfall,
Variables
Table 1. Storm specific characteristics and environmental factor variables used in this study.
Storm Specific Factors Abbreviation Units
Circulation Center Latitude LAT º
Circulation Center Longitude LON º
Proximity to Storm Center PRX km
Storm Duration DUR hrs.
Maximum Sustained Winds VMX ms-1
Horizontal Translation Speed HTS ms-1
Environmental Factors Abbreviation Units
Total Precipitable Water TPW mm
Mid-level Relative Humidity (Avg. 500-700 hPa) MRH %
Wind Shear (850-200 hPa) West To East WSU ms-1
Wind Shear (850-200 hPa) South To North WSV ms-1
TC Tracks and Environmental Data
Statistical Tests and Models
• Pearson Correlation Tests was implemented to look at the relationship
between each individual factor and TC rainfall.
• Varimax Rotated Principal Component Analysis (PCA) was employed to
reduce the number of factors and group them in new components that
account for independent variable correlations.
• Principal Component Regression (PCR) was used to model the
components contribution to tropical cyclone rainfall variability.
• Mann-Whitney U Test was employed to compare the factors associated
with the highest and lowest rainfall producing storms.
Results: Descriptive Statistics
Table 2. Descriptive statistics of storm specific and
environmental factors associated with the 86 TCs
analyzed.
Minimum Maximum Mean
LAT 13.5 22.8 17.9
LON -70.6 -61 -65.5
PRX* 1 499.9 239.7
DUR 12 102 41.5
HTS 3.15 13.17 6.3
VMX 11.11 72.28 28.3
TPW 30.31 53.74 44.7
MRH 23.45 74.32 49.8
WSU -10.79 32.08 9.9
WSV -16.30 12.46 .22
*1 means landfall
Table 3. Tropical cyclones that produced more than 50 mm rainfall over the
island of Puerto Rico.
TC Max Intensity Year TCR (mm) Rank
Eloise TD 1975 279.15 1
Georges* H3 1998 271.43 2
David H5 1979 237.56 3
Hortense* H1 1996 209.74 4
Jeanne* TS 2004 190.35 5
Isabel TS 1985 186.72 6
Chris TD 1988 158.91 7
Grace TS 1997 122.35 8
Frederic* TS 1979 106.28 9
Olga* TS 2007 99.89 10
Lenny H3 1999 99.37 11
Claudette* TD 1979 98.93 12
Debby H1 2000 94.86 13
Debby TD 1982 85.96 14
Hugo* H4 1989 84.14 15
Marilyn H2 1995 76.35 16
Dean TS 2001 73.21 17
Klaus TS 1984 72.01 18
Mindy TS 2003 66.92 19
Carmen TD 1974 64.76 20
Odette TS 2003 58.43 21
Earl H3 2010 57.35 22
Luis H4 1995 53.2 23
*Tropical cyclones that made landfall.
Results: Correlation Tests
Table 4. Pearson correlation coefficients for each of
the predictor’s relationship with TC average total
rainfall.
Factors Correlation Coefficients Significance
TPW 0.716 0.000
PRX -0.678 0.000
MRH 0.565 0.000
DUR 0.542 0.000
LON -0.357 0.001
HTS -0.288 0.007
VMX 0.144 0.184
WSV -0.106 0.333
LAT 0.073 0.503
WSU 0.011 0.923
Table 5. Pearson correlation coefficients of variables that were found
to be significantly correlated with average total TC rainfall.
TPW PRX MRH DUR HTS LON
TPW 1 -0.342** 0.593** 0.338** -0.319** -0.373**
PRX -0.342** 1 -0.265** -0.591** 0.133 -0.001
MRH 0.593** -0.265** 1 0.214** -0.183 -0.452**
DUR 0.338** -0.591** 0.214** 1 -0.545** 0.130
HTS -0.319** 0.133 -0.184 -0.545** 1 -0.050
LON -0.373** -0.001 -0.452** 0.130 -0.050 1
**Correlation is significant at 0.01
Results: Correlation Plots Moisture
Results: Correlation Plots Proximity and Duration
Results: Correlation Plots Speed and Longitude
Results: Varimax Rotated PCA
Table 6. Varimax rotated principal component analysis (PCA) results.
Data includes the number of components its % of variance, cumulative
variance and variable loadings.
Components % of Variance Cumulative % Variables Loadings
1 25.39 25.39
DUR 0.89
PRX -0.74
HTS -0.66
2 20.20 45.60
MRH 0.79
LON -0.77
TPW 0.77
3 15.09 60.70
LAT -0.88
WSU 0.87
4 10.64 71.34
VMX 0.85
WSV 0.69
Results: PCR
Table 7. Forward principal component regression model results.
Model R R2 Adjusted R2 Components Factors Coefficients Significance
TCR .842 .708 .701
2
MRH
.605 0.000LON
TPW
1
DUR
.585 0.000PRX
HTS
Results: PCR Plots
Results: Mann Whitney U Test Results
Table 8. Statistics of the top 23 highest and lowest
rainfall events associated with TCs for Puerto Rico.
Highest 23 TC Rainfall Producers
Minimum Maximum Mean Std. Dev.
TCR 53.20 279.15 123.82 70.61
TPW 40.00 53.74 48.56 3.57
PRX 1.00 326.60 93.57 101.40
MRH 43.91 74.32 55.85 7.83
DUR 12.00 102.00 55.57 26.17
LON -70.60 -63.60 -66.38 1.87
HTS 3.44 11.87 5.81 1.91
Lowest 23 TC Rainfall Producers
TCR 0.65 10.52 4.64 3.04
TPW 30.31 47.85 40.07 4.40
PRX 104.65 499.90 363.11 110.89
MRH 23.45 56.64 41.36 7.91
DUR 12.0 60.0 23.73 13.47
LON -68.0 -61.0 -64.28 2.12
HTS 3.15 13.17 7.39 2.40
Table 9. Mann-Whitney U test results for the TCs associated with the 23 highest and
lowest rainfall events for Puerto Rico.
Factors TCR TPW PRX MRH DUR LON HTS
Mann-Whitney U 0.00 24.00 29.00 42.500 80.00 122.500 144.00
Z-score -5.811 -5.284 -5.183 -4.877 -4.077 -3.122 -2.647
Significance P-value .000 .000 .000 .000 .000 .002 .008
Results: Highest and lowest rainfall producing storms
Total Precipitable Water of Top and Lowest 23 TCs
Conclusions
• Heavy rainfall occurred across Puerto Rico when tropical
cyclones were within a distance of 233 km or less to the
island.
• Also when moisture environments exceeded 44.5 mm of
precipitable water and 44.5% of mid-level relative humidity.
• While moving slowly with speeds of 6.4 ms-1 or less and
extending more to the west .
Future Research
• Future work will examine the contribution of TCs to the rainfall
climatology of Puerto Rico.
• The spatial distribution of TC rainfall over the island and its
relationship with topography.
• Future research will also focus on understanding the relationship
between TC rainfall and extreme flooding events over the island.

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SEDAAG Athens 2014 Update

  • 1. Tropical Cyclone Rainfall over Puerto Rico and its relations to Environmental and Storm Specific Factors José J. Hernández Ayala PhD Student Department of Geography University of Florida
  • 2. Objectives and Importance • Understand how environmental and storm specific factors affect TC rainfall over Puerto Rico. • Identify the most important factors that cause TC rainfall variability. • Heavy rainfall from tropical depression Isabel in October of 1985 triggered one of the deadliest mudslide events in North American history killing 130 people (Jibson, 1989; Larsen and Simon, 1993).
  • 4. Problem Statement • Which factors or conditions affect tropical cyclone rainfall variability over the island of Puerto Rico? • Intensity? • Horizontal Translation Speed? • Environmental Moisture? • Proximity to Storm Center? • Vertical Wind Shear? • Storm Center Location? • Storm Duration?
  • 5. Literature on TCs and Puerto Rico • Puerto Rico is subject to frequent and severe impacts from Hurricanes (Dunn and Miller 1964, Simpson & Riehl 1981, Diaz & Pulwarty 1997). • The frequency with which a tropical cyclone passes directly over Puerto Rico is small (Scatena and Larsen, 1991). • A comprehensive study of hurricanes in P.R based on meteorological principles and the historical record is lacking (Boose, Serrano &Foster 2004). • Storm rainfall totals of 500 mm are common for hurricanes in Puerto Rico (Riehl, 1979). • Some Caribbean storms have reportedly produced more than 2000 mm (Gupta, 1988).
  • 6. Area of Study • Puerto Rico is located 18.5 ˚N & 66.5˚ W. • The total population of the island is approximately 3.7 million.
  • 8. Data Sources • Daily Rainfall from 32 rain gauges in mm (NCDC) • Tropical Cyclone Tracks from 1970-2010 (IBTrACS) • Daily Environmental Variables (NCEP/NCAR) • Puerto Rico Digital Elevation Model (USGS)
  • 9. Methods • Tracks within 500 km of PR were selected with a GIS. • 86 TCs were identified using this parameters. • Daily rainfall data for each specific period for each TC was obtained. • An averaged total rainfall value for all 32 stations was calculated for each TC. • Data for 12-24 hr. for one day, add up other days with 12 hr. > • Independent variables were measured using the same parameters used for rainfall,
  • 10. Variables Table 1. Storm specific characteristics and environmental factor variables used in this study. Storm Specific Factors Abbreviation Units Circulation Center Latitude LAT º Circulation Center Longitude LON º Proximity to Storm Center PRX km Storm Duration DUR hrs. Maximum Sustained Winds VMX ms-1 Horizontal Translation Speed HTS ms-1 Environmental Factors Abbreviation Units Total Precipitable Water TPW mm Mid-level Relative Humidity (Avg. 500-700 hPa) MRH % Wind Shear (850-200 hPa) West To East WSU ms-1 Wind Shear (850-200 hPa) South To North WSV ms-1
  • 11. TC Tracks and Environmental Data
  • 12. Statistical Tests and Models • Pearson Correlation Tests was implemented to look at the relationship between each individual factor and TC rainfall. • Varimax Rotated Principal Component Analysis (PCA) was employed to reduce the number of factors and group them in new components that account for independent variable correlations. • Principal Component Regression (PCR) was used to model the components contribution to tropical cyclone rainfall variability. • Mann-Whitney U Test was employed to compare the factors associated with the highest and lowest rainfall producing storms.
  • 13. Results: Descriptive Statistics Table 2. Descriptive statistics of storm specific and environmental factors associated with the 86 TCs analyzed. Minimum Maximum Mean LAT 13.5 22.8 17.9 LON -70.6 -61 -65.5 PRX* 1 499.9 239.7 DUR 12 102 41.5 HTS 3.15 13.17 6.3 VMX 11.11 72.28 28.3 TPW 30.31 53.74 44.7 MRH 23.45 74.32 49.8 WSU -10.79 32.08 9.9 WSV -16.30 12.46 .22 *1 means landfall Table 3. Tropical cyclones that produced more than 50 mm rainfall over the island of Puerto Rico. TC Max Intensity Year TCR (mm) Rank Eloise TD 1975 279.15 1 Georges* H3 1998 271.43 2 David H5 1979 237.56 3 Hortense* H1 1996 209.74 4 Jeanne* TS 2004 190.35 5 Isabel TS 1985 186.72 6 Chris TD 1988 158.91 7 Grace TS 1997 122.35 8 Frederic* TS 1979 106.28 9 Olga* TS 2007 99.89 10 Lenny H3 1999 99.37 11 Claudette* TD 1979 98.93 12 Debby H1 2000 94.86 13 Debby TD 1982 85.96 14 Hugo* H4 1989 84.14 15 Marilyn H2 1995 76.35 16 Dean TS 2001 73.21 17 Klaus TS 1984 72.01 18 Mindy TS 2003 66.92 19 Carmen TD 1974 64.76 20 Odette TS 2003 58.43 21 Earl H3 2010 57.35 22 Luis H4 1995 53.2 23 *Tropical cyclones that made landfall.
  • 14. Results: Correlation Tests Table 4. Pearson correlation coefficients for each of the predictor’s relationship with TC average total rainfall. Factors Correlation Coefficients Significance TPW 0.716 0.000 PRX -0.678 0.000 MRH 0.565 0.000 DUR 0.542 0.000 LON -0.357 0.001 HTS -0.288 0.007 VMX 0.144 0.184 WSV -0.106 0.333 LAT 0.073 0.503 WSU 0.011 0.923 Table 5. Pearson correlation coefficients of variables that were found to be significantly correlated with average total TC rainfall. TPW PRX MRH DUR HTS LON TPW 1 -0.342** 0.593** 0.338** -0.319** -0.373** PRX -0.342** 1 -0.265** -0.591** 0.133 -0.001 MRH 0.593** -0.265** 1 0.214** -0.183 -0.452** DUR 0.338** -0.591** 0.214** 1 -0.545** 0.130 HTS -0.319** 0.133 -0.184 -0.545** 1 -0.050 LON -0.373** -0.001 -0.452** 0.130 -0.050 1 **Correlation is significant at 0.01
  • 16. Results: Correlation Plots Proximity and Duration
  • 17. Results: Correlation Plots Speed and Longitude
  • 18. Results: Varimax Rotated PCA Table 6. Varimax rotated principal component analysis (PCA) results. Data includes the number of components its % of variance, cumulative variance and variable loadings. Components % of Variance Cumulative % Variables Loadings 1 25.39 25.39 DUR 0.89 PRX -0.74 HTS -0.66 2 20.20 45.60 MRH 0.79 LON -0.77 TPW 0.77 3 15.09 60.70 LAT -0.88 WSU 0.87 4 10.64 71.34 VMX 0.85 WSV 0.69
  • 19. Results: PCR Table 7. Forward principal component regression model results. Model R R2 Adjusted R2 Components Factors Coefficients Significance TCR .842 .708 .701 2 MRH .605 0.000LON TPW 1 DUR .585 0.000PRX HTS
  • 21. Results: Mann Whitney U Test Results Table 8. Statistics of the top 23 highest and lowest rainfall events associated with TCs for Puerto Rico. Highest 23 TC Rainfall Producers Minimum Maximum Mean Std. Dev. TCR 53.20 279.15 123.82 70.61 TPW 40.00 53.74 48.56 3.57 PRX 1.00 326.60 93.57 101.40 MRH 43.91 74.32 55.85 7.83 DUR 12.00 102.00 55.57 26.17 LON -70.60 -63.60 -66.38 1.87 HTS 3.44 11.87 5.81 1.91 Lowest 23 TC Rainfall Producers TCR 0.65 10.52 4.64 3.04 TPW 30.31 47.85 40.07 4.40 PRX 104.65 499.90 363.11 110.89 MRH 23.45 56.64 41.36 7.91 DUR 12.0 60.0 23.73 13.47 LON -68.0 -61.0 -64.28 2.12 HTS 3.15 13.17 7.39 2.40 Table 9. Mann-Whitney U test results for the TCs associated with the 23 highest and lowest rainfall events for Puerto Rico. Factors TCR TPW PRX MRH DUR LON HTS Mann-Whitney U 0.00 24.00 29.00 42.500 80.00 122.500 144.00 Z-score -5.811 -5.284 -5.183 -4.877 -4.077 -3.122 -2.647 Significance P-value .000 .000 .000 .000 .000 .002 .008
  • 22. Results: Highest and lowest rainfall producing storms
  • 23. Total Precipitable Water of Top and Lowest 23 TCs
  • 24. Conclusions • Heavy rainfall occurred across Puerto Rico when tropical cyclones were within a distance of 233 km or less to the island. • Also when moisture environments exceeded 44.5 mm of precipitable water and 44.5% of mid-level relative humidity. • While moving slowly with speeds of 6.4 ms-1 or less and extending more to the west .
  • 25. Future Research • Future work will examine the contribution of TCs to the rainfall climatology of Puerto Rico. • The spatial distribution of TC rainfall over the island and its relationship with topography. • Future research will also focus on understanding the relationship between TC rainfall and extreme flooding events over the island.