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1CONFIDENTIAL ©2016 AIR WORLDWIDE
Canadian Megadisasters:
An exploration of sensitivities and implications
for the insurance industry
Eric D. Robinson, PhD, Senior Scientist - Manager
2CONFIDENTIAL ©2016 AIR WORLDWIDE
What Constitutes a “MegaDisaster” or Extreme
Disaster Scenario?
Create a plausible, yet highly unlikely scenario that
might, one day, shock the marketGoal:
World Historical Events that had EDS Characteristics
1992: Hurricane Andrew, $17 Billion (USD 1992)
• 8 insolvencies, $27 Billion Economic loss
2005: Hurricane Katrina, $61.6 Billion (USD 2005)
2011: Tohoku Earthquake
Canada
1998: Great North American Ice Storm, ~$1.5 Billion (CAD 1998)
• Some without power for over a month
2016: Fort McMurray Fire
2013: Calgary Floods, ~$1.7 Billion (CAD 2013)
• Total Damage ~ 5 Billion (CAD 2013)
What is the next Canadian “Black Swan”
event?
3CONFIDENTIAL ©2016 AIR WORLDWIDE
Goal: Create a plausible, yet highly unlikely shock
to the market
Our Focus Will Be on Winds Perils…
Tropical Cyclones Winter Storms Severe Thunderstorms
Step 1: Consider the Meteorology
Step 2: Consider the Exposure
Step 3: Consider Historical Experience
4CONFIDENTIAL ©2016 AIR WORLDWIDE
Tropical Cyclones
5CONFIDENTIAL ©2016 AIR WORLDWIDE
Consider the Meteorology: Tropical Cyclones
Sea Surface Temperatures (SST) >
26° C extending down to 50 m depth
Low vertical wind shear (change in
wind with height)
Atmospheric Instability
(heat/moisture/kinematic)
Deep column moisture (sea surface
to mid-levels ~ 7km+ AGL)
Away from the equator (need source
of rotation: Coriolis Force)
Pre-existing convection/waves to
trigger cyclogenesis
6CONFIDENTIAL ©2016 AIR WORLDWIDE
Consider the Meteorology: Anatomy of a Tropical
Cyclone
The eye and eye wall from visible satellite
Schematic of typical tropical cyclone
structure
7CONFIDENTIAL ©2016 AIR WORLDWIDE
Consider the Meteorology: Important Characteristics
of a Tropical Cyclone Event
1. Intensity
2. Asymmetry
3. Angle of Attack
4. Landfall Location
5. Forward speed
6. Duration
8CONFIDENTIAL ©2016 AIR WORLDWIDE
Tropical Cyclone
Impacts in Canada Are Similar to Northern U.S.
9CONFIDENTIAL ©2016 AIR WORLDWIDE
Consider the Exposure: Atlantic Canada
10CONFIDENTIAL ©2016 AIR WORLDWIDE
Consider Historical Experience:Tropical Cyclone
Risk in Canada
Loss Cost
Historical Tracks
Historical Landfalls: 1900-2012
11CONFIDENTIAL ©2016 AIR WORLDWIDE
The Tropical Cyclone Extreme Disaster Scenario:
The Halifax Howler
12CONFIDENTIAL ©2016 AIR WORLDWIDE
Extratropical Cyclones
13CONFIDENTIAL ©2016 AIR WORLDWIDE
Consider the Meteorology: Winter Storm Sub-perils
Canada
Winter Storm
Frozen
precipitation
Wind Freezing rain
Arctic
temperatures
14CONFIDENTIAL ©2016 AIR WORLDWIDE
Consider the Meteorology: What Is Freezing Rain…?
Freezing rain occurs when supercooled
water falls onto surfaces and objects that
have a below freezing temperature.
This is a particular concern for:
• Power transmission/distribution lines
• Trees/tree limbs
• Infrastructure/road safety
• Agriculture
15CONFIDENTIAL ©2016 AIR WORLDWIDE
Glaciation
Layer
Melting Layer
Surface
Layer
Glaciation
Layer
Melting Layer
Surface
Layer
Snow occurs
when the entire
temperature
profile is below
zero, with
minimal warm
layers.
Freezing rain
occurs when
precipitation falls
through a warm
layer into a sub-
zero layer near
the surface.
Glaciation
Layer
Melting Layer
Surface
Layer
Consider the Meteorology: What Is Freezing Rain…?
16CONFIDENTIAL ©2016 AIR WORLDWIDE
Consider the Exposure: Ontario/Quebec
17CONFIDENTIAL ©2016 AIR WORLDWIDE
Consider Historical Experience:
The History of Ice Storms in Canada
Median Number of Hours of Freezing Rain per
Year
Date Location Ice
Accumulation
1961 QC 35 mm
1986 ON 65 mm
1972 QC 40 mm
1983 QC 50 mm
1986 ON/QC 30 mm
1998 ON/QC/NB 100 mm
2002 ON 18 mm
2003 NB 60 mm
2013 ON 30 mm
18CONFIDENTIAL ©2016 AIR WORLDWIDE
January 1998 Ice Storm in Quebec
100+ mm ice accumulation
1.5 billion (CAD 1998) in insured
losses
1,000+ transmission towers, 30K+
utility poles
4.7 million without power (some for
about a month), 28 deaths
Largest deployment of the Canadian
military since the Korean War
Consider Historical Experience:
The 98 North American Ice Storm
19CONFIDENTIAL ©2016 AIR WORLDWIDE
Consider Historical Experience: Ice Accumulation
Return Periods
200-year
Equivalent Radial Ice Thickness
400-year
Equivalent Radial Ice Thickness
Req = (Ice accumulation)/(ρi*π)
1998 Ice Storm  Ice accumulation = 100+ mm ≈ 35 mm Req
20CONFIDENTIAL ©2016 AIR WORLDWIDE
1998 Ice Storm  Ice accumulation = 100+ mm ≈ 35 mm Req
The Winter Storm Extreme Disaster Scenario:
The Toronto Ice Storm
21CONFIDENTIAL ©2016 AIR WORLDWIDE
Severe Thunderstorms
22CONFIDENTIAL ©2016 AIR WORLDWIDE
Consider the Meteorology: Multiple
Sub-Perils and Multiple Modes of Damage
• Localized or
widespread
• 3-second gust
• Temporally variable
• 50–150 mph
(80–240 km/hr)
Straight-Line
Wind
• Strong core
• Different concentrations
of different diameters
• Integrated damage over
time and diameter: Total
Kinetic Energy
• 1– 8+ inch (25 – 200 mm)
diameter
(quarter - bowling ball)
Hail
• Strong, localized core
• Variable width and
intensity over path
• Torsional and wind-
load damage
• Rated F/EF1-F/EF5
(65-200+ mph or
100-320+ km/hr)
Tornado
23CONFIDENTIAL ©2016 AIR WORLDWIDE
Consider the Meteorology : Severe Thunderstorm
“Ingredients”
Severe Thunderstorms Require:
Instability (moisture, CAPE) Vertical Wind Shear Lift
The collocation of these largely determines where severe thunderstorm
activity occurs
24CONFIDENTIAL ©2016 AIR WORLDWIDE
Consider the Meteorology : Where Do These
Ingredients Occur?
CAPE: Instability
Jet Stream: Wind Shear Topography: Lift
Where Do These Ingredients Occur in the Canadian Domain?
25CONFIDENTIAL ©2016 AIR WORLDWIDE
Consider the Exposure: Alberta
26CONFIDENTIAL ©2016 AIR WORLDWIDE
Tornado and Hail Activity in Canada
Confirmed and Probable Tornadoes
(1980-2009)
Average Annual Hail Days
27CONFIDENTIAL ©2016 AIR WORLDWIDE
Recent Canadian Hailstorms
Recent Hailstorm Losses
Quebec (2008) $137.2 million
Sask. (2008) $144.9 million
Edmonton (2004) $198.5 million
Alberta (2010) $569.6 million
Calgary (2012) 578.2 million
Airdrie (2014) $568.9 million
Source: ICLR
Calgary 2010: Largest hail
reported ~ baseballs
Calgary 2012: Largest hail
reported ~ 50-60mm
~100 mm Hailstones
(max reported in 1991 storm)
28CONFIDENTIAL ©2016 AIR WORLDWIDE
The Severe Thunderstorm Extreme Disaster
Scenario: The Calgary Hailer
Duration: 10 mins Maximum Hail Size: 100 mm Horizontal Wind: 20 m/s
29CONFIDENTIAL ©2016 AIR WORLDWIDE
The Three Extreme Disaster Scenarios
Hail > 100 mm, Wind > 20 m/s
Ice accumulation > 100 mm
CAT 4 NS
Hurricane
30CONFIDENTIAL ©2016 AIR WORLDWIDE
Extreme Disaster Scenario
(EDS) Impacts
31CONFIDENTIAL ©2016 AIR WORLDWIDE
EDS Loss: The BIG Reveal
Total Loss
$32.5 Billion
Total Loss
$26.2 Billion
Total Loss
$13.6 Billion
But is this really the end of the story???
32CONFIDENTIAL ©2016 AIR WORLDWIDE
Losses Can be Sensitive to Small Perturbations
Perturbations: Small shifts in intensity or location that could potentially have a
significant effect on resultant losses
High Sensitivity
Low Sensitivity
Proportional
Sensitivity
33CONFIDENTIAL ©2016 AIR WORLDWIDE
Landfall Location can Make a Modest Difference
$0
$5,000,000,000
$10,000,000,000
$15,000,000,000
$20,000,000,000
$25,000,000,000
$30,000,000,000
$35,000,000,000
$40,000,000,000
$45,000,000,000
$50,000,000,000
1 2 3 4 5 6 7 8 9
Halifax Howler Track Perturbations
34CONFIDENTIAL ©2016 AIR WORLDWIDE
How Loud is the Howler “Howling”?
-
10,000,000,000
20,000,000,000
30,000,000,000
40,000,000,000
50,000,000,000
60,000,000,000
70,000,000,000
80,000,000,000
908.3326 917.6013 926.87 936.1387 945.4074
Halifax Howler Intensity Sensitivity
35CONFIDENTIAL ©2016 AIR WORLDWIDE
Why the Dramatic Difference in Losses?
Damage is related to maximum wind speed… but not
LINEARLY…
Intensity
MeanDamage
Ratio
• Exhaustion curves may be
different by intensity
• Certain mitigation
measures fail at certain
thresholds
• Secondary Uncertainty is
a function of intensity
36CONFIDENTIAL ©2016 AIR WORLDWIDE
Toronto Ice Storm Intensity Sensitivity
-
5,000,000,000
10,000,000,000
15,000,000,000
20,000,000,000
25,000,000,000
30,000,000,000
35,000,000,000
90 95 100 105 110 115 120 125 130 135
TotalLoss
Ice Accumulation
Total Industry Loss
37CONFIDENTIAL ©2016 AIR WORLDWIDE
The Calgary Hailer: Hail Size Sensitivity
51 mm 57 mm 64 mm 70 mm 100 mm
Avg. 46,346,813 292,594,258 989,020,434 1,939,645,424 8,824,948,113
Median 52,577,225 330,427,486 1,119,528,473 2,196,856,910 9,983,564,814
Max 75,307,116 476,751,788 1,609,533,263 3,155,400,929 14,361,999,683
Min 681,681 4,379,145 14,516,183 28,326,644 131,267,693
-
2,000,000,000
4,000,000,000
6,000,000,000
8,000,000,000
10,000,000,000
51 57 64 70 100
Loss
Maximum Diameter
Calgary Hailer Size Sensitivity
38CONFIDENTIAL ©2016 AIR WORLDWIDE
Let’s Go Back to Classic Kinematics
Making a few more assumptions… 𝒗 𝒕𝒆𝒓𝒎 ≈ 𝟒. 𝟑𝟑 ∗ 𝑫
𝟏
𝟐
𝐊𝐄 ~ 𝑫 𝟒Mass ~ D3
Velocity ~ D1/2 𝐊𝐄 =
𝟏
𝟐
𝒎𝒗 𝟐
𝐊𝐄 =
𝟏
𝟐
𝒎𝒗 𝟐 m = mass  Density x Volume
v = velocity  Gravity = Drag (vterm)
𝟏
𝟔
𝝅𝑫 𝟑
39CONFIDENTIAL ©2016 AIR WORLDWIDE
Let’s Go Back to Classic Kinematics
+10% Diameter  KEnew ~ (1.10)^4 KEold  1.5x increase in KE
+20% Diameter  KEnew ~ (1.20)^4 KEold  2.0x increase in KE
+400% Diameter  KEnew ~ (4.00)^4 KEold  256x increase in KE
What does this mean for hail size perturbations???
Energy increase non-linearly with Diameter
Damage increases non-linearly with Energy
40CONFIDENTIAL ©2016 AIR WORLDWIDE
Putting it All Together
51 mm 57 mm 64 mm 70 mm 100 mm
Avg. 46,346,813 292,594,258 989,020,434 1,939,645,424 8,824,948,113
Median 52,577,225 330,427,486 1,119,528,473 2,196,856,910 9,983,564,814
Max 75,307,116 476,751,788 1,609,533,263 3,155,400,929 14,361,999,683
Min 681,681 4,379,145 14,516,183 28,326,644 131,267,693
Total Loss
$32.5 Billion
Total Loss
$26.2 Billion
Total Loss
$13.6 Billion
41CONFIDENTIAL ©2016 AIR WORLDWIDE
- Every generation has it’s “Scenario that won’t ever
happen”, which inevitably happens
- Robust risk management demands the examination of
these events, even if their probability is very low
- Proper evaluation of the meteorology and historical
experience can assist in evaluating the feasibility of
these extreme scenarios
- The sensitivity (hence uncertainty) of a given event can
vary greatly depending on the peril and parameter of
interest.
What this Means for Risk Management
42CONFIDENTIAL ©2016 AIR WORLDWIDE
Questions?
Eric Robinson, Senior Scientist, Manager
AIR Worldwide
erobinson@air-worldwide.com
@DrCATModel

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ICLR Friday Forum: Canadian megadisasters (June 17, 2016)

  • 1. 1CONFIDENTIAL ©2016 AIR WORLDWIDE Canadian Megadisasters: An exploration of sensitivities and implications for the insurance industry Eric D. Robinson, PhD, Senior Scientist - Manager
  • 2. 2CONFIDENTIAL ©2016 AIR WORLDWIDE What Constitutes a “MegaDisaster” or Extreme Disaster Scenario? Create a plausible, yet highly unlikely scenario that might, one day, shock the marketGoal: World Historical Events that had EDS Characteristics 1992: Hurricane Andrew, $17 Billion (USD 1992) • 8 insolvencies, $27 Billion Economic loss 2005: Hurricane Katrina, $61.6 Billion (USD 2005) 2011: Tohoku Earthquake Canada 1998: Great North American Ice Storm, ~$1.5 Billion (CAD 1998) • Some without power for over a month 2016: Fort McMurray Fire 2013: Calgary Floods, ~$1.7 Billion (CAD 2013) • Total Damage ~ 5 Billion (CAD 2013) What is the next Canadian “Black Swan” event?
  • 3. 3CONFIDENTIAL ©2016 AIR WORLDWIDE Goal: Create a plausible, yet highly unlikely shock to the market Our Focus Will Be on Winds Perils… Tropical Cyclones Winter Storms Severe Thunderstorms Step 1: Consider the Meteorology Step 2: Consider the Exposure Step 3: Consider Historical Experience
  • 4. 4CONFIDENTIAL ©2016 AIR WORLDWIDE Tropical Cyclones
  • 5. 5CONFIDENTIAL ©2016 AIR WORLDWIDE Consider the Meteorology: Tropical Cyclones Sea Surface Temperatures (SST) > 26° C extending down to 50 m depth Low vertical wind shear (change in wind with height) Atmospheric Instability (heat/moisture/kinematic) Deep column moisture (sea surface to mid-levels ~ 7km+ AGL) Away from the equator (need source of rotation: Coriolis Force) Pre-existing convection/waves to trigger cyclogenesis
  • 6. 6CONFIDENTIAL ©2016 AIR WORLDWIDE Consider the Meteorology: Anatomy of a Tropical Cyclone The eye and eye wall from visible satellite Schematic of typical tropical cyclone structure
  • 7. 7CONFIDENTIAL ©2016 AIR WORLDWIDE Consider the Meteorology: Important Characteristics of a Tropical Cyclone Event 1. Intensity 2. Asymmetry 3. Angle of Attack 4. Landfall Location 5. Forward speed 6. Duration
  • 8. 8CONFIDENTIAL ©2016 AIR WORLDWIDE Tropical Cyclone Impacts in Canada Are Similar to Northern U.S.
  • 9. 9CONFIDENTIAL ©2016 AIR WORLDWIDE Consider the Exposure: Atlantic Canada
  • 10. 10CONFIDENTIAL ©2016 AIR WORLDWIDE Consider Historical Experience:Tropical Cyclone Risk in Canada Loss Cost Historical Tracks Historical Landfalls: 1900-2012
  • 11. 11CONFIDENTIAL ©2016 AIR WORLDWIDE The Tropical Cyclone Extreme Disaster Scenario: The Halifax Howler
  • 12. 12CONFIDENTIAL ©2016 AIR WORLDWIDE Extratropical Cyclones
  • 13. 13CONFIDENTIAL ©2016 AIR WORLDWIDE Consider the Meteorology: Winter Storm Sub-perils Canada Winter Storm Frozen precipitation Wind Freezing rain Arctic temperatures
  • 14. 14CONFIDENTIAL ©2016 AIR WORLDWIDE Consider the Meteorology: What Is Freezing Rain…? Freezing rain occurs when supercooled water falls onto surfaces and objects that have a below freezing temperature. This is a particular concern for: • Power transmission/distribution lines • Trees/tree limbs • Infrastructure/road safety • Agriculture
  • 15. 15CONFIDENTIAL ©2016 AIR WORLDWIDE Glaciation Layer Melting Layer Surface Layer Glaciation Layer Melting Layer Surface Layer Snow occurs when the entire temperature profile is below zero, with minimal warm layers. Freezing rain occurs when precipitation falls through a warm layer into a sub- zero layer near the surface. Glaciation Layer Melting Layer Surface Layer Consider the Meteorology: What Is Freezing Rain…?
  • 16. 16CONFIDENTIAL ©2016 AIR WORLDWIDE Consider the Exposure: Ontario/Quebec
  • 17. 17CONFIDENTIAL ©2016 AIR WORLDWIDE Consider Historical Experience: The History of Ice Storms in Canada Median Number of Hours of Freezing Rain per Year Date Location Ice Accumulation 1961 QC 35 mm 1986 ON 65 mm 1972 QC 40 mm 1983 QC 50 mm 1986 ON/QC 30 mm 1998 ON/QC/NB 100 mm 2002 ON 18 mm 2003 NB 60 mm 2013 ON 30 mm
  • 18. 18CONFIDENTIAL ©2016 AIR WORLDWIDE January 1998 Ice Storm in Quebec 100+ mm ice accumulation 1.5 billion (CAD 1998) in insured losses 1,000+ transmission towers, 30K+ utility poles 4.7 million without power (some for about a month), 28 deaths Largest deployment of the Canadian military since the Korean War Consider Historical Experience: The 98 North American Ice Storm
  • 19. 19CONFIDENTIAL ©2016 AIR WORLDWIDE Consider Historical Experience: Ice Accumulation Return Periods 200-year Equivalent Radial Ice Thickness 400-year Equivalent Radial Ice Thickness Req = (Ice accumulation)/(ρi*π) 1998 Ice Storm  Ice accumulation = 100+ mm ≈ 35 mm Req
  • 20. 20CONFIDENTIAL ©2016 AIR WORLDWIDE 1998 Ice Storm  Ice accumulation = 100+ mm ≈ 35 mm Req The Winter Storm Extreme Disaster Scenario: The Toronto Ice Storm
  • 21. 21CONFIDENTIAL ©2016 AIR WORLDWIDE Severe Thunderstorms
  • 22. 22CONFIDENTIAL ©2016 AIR WORLDWIDE Consider the Meteorology: Multiple Sub-Perils and Multiple Modes of Damage • Localized or widespread • 3-second gust • Temporally variable • 50–150 mph (80–240 km/hr) Straight-Line Wind • Strong core • Different concentrations of different diameters • Integrated damage over time and diameter: Total Kinetic Energy • 1– 8+ inch (25 – 200 mm) diameter (quarter - bowling ball) Hail • Strong, localized core • Variable width and intensity over path • Torsional and wind- load damage • Rated F/EF1-F/EF5 (65-200+ mph or 100-320+ km/hr) Tornado
  • 23. 23CONFIDENTIAL ©2016 AIR WORLDWIDE Consider the Meteorology : Severe Thunderstorm “Ingredients” Severe Thunderstorms Require: Instability (moisture, CAPE) Vertical Wind Shear Lift The collocation of these largely determines where severe thunderstorm activity occurs
  • 24. 24CONFIDENTIAL ©2016 AIR WORLDWIDE Consider the Meteorology : Where Do These Ingredients Occur? CAPE: Instability Jet Stream: Wind Shear Topography: Lift Where Do These Ingredients Occur in the Canadian Domain?
  • 25. 25CONFIDENTIAL ©2016 AIR WORLDWIDE Consider the Exposure: Alberta
  • 26. 26CONFIDENTIAL ©2016 AIR WORLDWIDE Tornado and Hail Activity in Canada Confirmed and Probable Tornadoes (1980-2009) Average Annual Hail Days
  • 27. 27CONFIDENTIAL ©2016 AIR WORLDWIDE Recent Canadian Hailstorms Recent Hailstorm Losses Quebec (2008) $137.2 million Sask. (2008) $144.9 million Edmonton (2004) $198.5 million Alberta (2010) $569.6 million Calgary (2012) 578.2 million Airdrie (2014) $568.9 million Source: ICLR Calgary 2010: Largest hail reported ~ baseballs Calgary 2012: Largest hail reported ~ 50-60mm ~100 mm Hailstones (max reported in 1991 storm)
  • 28. 28CONFIDENTIAL ©2016 AIR WORLDWIDE The Severe Thunderstorm Extreme Disaster Scenario: The Calgary Hailer Duration: 10 mins Maximum Hail Size: 100 mm Horizontal Wind: 20 m/s
  • 29. 29CONFIDENTIAL ©2016 AIR WORLDWIDE The Three Extreme Disaster Scenarios Hail > 100 mm, Wind > 20 m/s Ice accumulation > 100 mm CAT 4 NS Hurricane
  • 30. 30CONFIDENTIAL ©2016 AIR WORLDWIDE Extreme Disaster Scenario (EDS) Impacts
  • 31. 31CONFIDENTIAL ©2016 AIR WORLDWIDE EDS Loss: The BIG Reveal Total Loss $32.5 Billion Total Loss $26.2 Billion Total Loss $13.6 Billion But is this really the end of the story???
  • 32. 32CONFIDENTIAL ©2016 AIR WORLDWIDE Losses Can be Sensitive to Small Perturbations Perturbations: Small shifts in intensity or location that could potentially have a significant effect on resultant losses High Sensitivity Low Sensitivity Proportional Sensitivity
  • 33. 33CONFIDENTIAL ©2016 AIR WORLDWIDE Landfall Location can Make a Modest Difference $0 $5,000,000,000 $10,000,000,000 $15,000,000,000 $20,000,000,000 $25,000,000,000 $30,000,000,000 $35,000,000,000 $40,000,000,000 $45,000,000,000 $50,000,000,000 1 2 3 4 5 6 7 8 9 Halifax Howler Track Perturbations
  • 34. 34CONFIDENTIAL ©2016 AIR WORLDWIDE How Loud is the Howler “Howling”? - 10,000,000,000 20,000,000,000 30,000,000,000 40,000,000,000 50,000,000,000 60,000,000,000 70,000,000,000 80,000,000,000 908.3326 917.6013 926.87 936.1387 945.4074 Halifax Howler Intensity Sensitivity
  • 35. 35CONFIDENTIAL ©2016 AIR WORLDWIDE Why the Dramatic Difference in Losses? Damage is related to maximum wind speed… but not LINEARLY… Intensity MeanDamage Ratio • Exhaustion curves may be different by intensity • Certain mitigation measures fail at certain thresholds • Secondary Uncertainty is a function of intensity
  • 36. 36CONFIDENTIAL ©2016 AIR WORLDWIDE Toronto Ice Storm Intensity Sensitivity - 5,000,000,000 10,000,000,000 15,000,000,000 20,000,000,000 25,000,000,000 30,000,000,000 35,000,000,000 90 95 100 105 110 115 120 125 130 135 TotalLoss Ice Accumulation Total Industry Loss
  • 37. 37CONFIDENTIAL ©2016 AIR WORLDWIDE The Calgary Hailer: Hail Size Sensitivity 51 mm 57 mm 64 mm 70 mm 100 mm Avg. 46,346,813 292,594,258 989,020,434 1,939,645,424 8,824,948,113 Median 52,577,225 330,427,486 1,119,528,473 2,196,856,910 9,983,564,814 Max 75,307,116 476,751,788 1,609,533,263 3,155,400,929 14,361,999,683 Min 681,681 4,379,145 14,516,183 28,326,644 131,267,693 - 2,000,000,000 4,000,000,000 6,000,000,000 8,000,000,000 10,000,000,000 51 57 64 70 100 Loss Maximum Diameter Calgary Hailer Size Sensitivity
  • 38. 38CONFIDENTIAL ©2016 AIR WORLDWIDE Let’s Go Back to Classic Kinematics Making a few more assumptions… 𝒗 𝒕𝒆𝒓𝒎 ≈ 𝟒. 𝟑𝟑 ∗ 𝑫 𝟏 𝟐 𝐊𝐄 ~ 𝑫 𝟒Mass ~ D3 Velocity ~ D1/2 𝐊𝐄 = 𝟏 𝟐 𝒎𝒗 𝟐 𝐊𝐄 = 𝟏 𝟐 𝒎𝒗 𝟐 m = mass  Density x Volume v = velocity  Gravity = Drag (vterm) 𝟏 𝟔 𝝅𝑫 𝟑
  • 39. 39CONFIDENTIAL ©2016 AIR WORLDWIDE Let’s Go Back to Classic Kinematics +10% Diameter  KEnew ~ (1.10)^4 KEold  1.5x increase in KE +20% Diameter  KEnew ~ (1.20)^4 KEold  2.0x increase in KE +400% Diameter  KEnew ~ (4.00)^4 KEold  256x increase in KE What does this mean for hail size perturbations??? Energy increase non-linearly with Diameter Damage increases non-linearly with Energy
  • 40. 40CONFIDENTIAL ©2016 AIR WORLDWIDE Putting it All Together 51 mm 57 mm 64 mm 70 mm 100 mm Avg. 46,346,813 292,594,258 989,020,434 1,939,645,424 8,824,948,113 Median 52,577,225 330,427,486 1,119,528,473 2,196,856,910 9,983,564,814 Max 75,307,116 476,751,788 1,609,533,263 3,155,400,929 14,361,999,683 Min 681,681 4,379,145 14,516,183 28,326,644 131,267,693 Total Loss $32.5 Billion Total Loss $26.2 Billion Total Loss $13.6 Billion
  • 41. 41CONFIDENTIAL ©2016 AIR WORLDWIDE - Every generation has it’s “Scenario that won’t ever happen”, which inevitably happens - Robust risk management demands the examination of these events, even if their probability is very low - Proper evaluation of the meteorology and historical experience can assist in evaluating the feasibility of these extreme scenarios - The sensitivity (hence uncertainty) of a given event can vary greatly depending on the peril and parameter of interest. What this Means for Risk Management
  • 42. 42CONFIDENTIAL ©2016 AIR WORLDWIDE Questions? Eric Robinson, Senior Scientist, Manager AIR Worldwide erobinson@air-worldwide.com @DrCATModel