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Black Bear Attacks in the USA/Data: Difference between revisions

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'''Exposure'''
<datatable2 table="exposure" columns="exposure_level|exposure_days|daily_encounter_rate|injury_given_encounter|fatality_given_injury">
<head>
!Exposure Level
!Number of Days
!Daily Encounter Rate
!Injury Given Encounter
!Fatality Given Injury
</head>
1 day|1|0.00000955|0.012|0.025
10 days|10|0.00000955|0.012|0.025
100 days|100|0.00000955|0.012|0.025
</datatable2>
The number of days represents the exposure duration in black bear country. The daily encounter rate (0.00000955 or 9.55e-6) is calculated as 1010 close encounters (estimated using similar proportion as grizzlies for black bear interactions) divided by 105.6 million visits in Yellowstone from 1991-2022, adjusted for higher black bear interactions (10,081 total). Injury given encounter (0.012) is 5 injuries divided by estimated 410 close encounters. Fatality given injury (0.025) is based on 2-2.5% mortality rate in black bear attacks. These values are constant across rows as they represent base rates.
* [[https://bioone.org/journals/ursus/volume-2024/issue-35e16/URSUS-D-24-00001/Grizzly-bear-and-American-black-bear-interactions-with-people-in/10.2192/URSUS-D-24-00001.full|Grizzly bear and American black bear interactions with people in Yellowstone National Park]]
* [[https://www.sciencedirect.com/science/article/pii/S1008127517303061|A review of upper limb injuries in bear maul victims]]
'''Location'''
'''Location'''


<datatable2 table="location" columns="location|location_risk_probability|location_odds_ratio">
<datatable2 table="location" columns="location|location_odds_ratio">
<head>
<head>
!Location
!Location
!Risk Probability (%)
!Odds Ratio
!Odds Ratio
</head>
</head>
Alaska|0.00015|3.0
Alaska|3.0
Appalachian Trail States|0.00007|1.4
Appalachian Trail States|1.4
Other Bear-Populated States|0.00005|1.0
Other Bear-Populated States|1.0
Non-Bear Area|0.0|0.0
Non-Bear Area|0.0
</datatable2>
</datatable2>


Risk probabilities are based on attack rates per visit or population exposure. Alaska’s rate (0.00015%) reflects its high black bear population and 3.5 times more fatal attacks than the lower 48 states (). Appalachian Trail states (0.00007%) have higher risks due to documented attacks (). Other bear-populated states (0.00005%) serve as the baseline. Non-bear areas have zero risk. Odds ratios are scaled relative to Other Bear-Populated States (baseline = 1.0) based on attack frequency ().
Odds ratios are scaled relative to other bear-populated states (baseline = 1.0) based on attack frequency and population exposure. Alaska has higher odds (3.0) due to high black bear density and 3.5 times more fatal attacks than lower 48 states. Appalachian states have moderate odds based on documented attacks.
* [https://wildlife.onlinelibrary.wiley.com/doi/abs/10.1002/jwmg.72 Fatal Black Bear Attacks in North America Over the Last 20 Years]
* [[https://wildlife.onlinelibrary.wiley.com/doi/abs/10.1002/jwmg.72|Fatal Black Bear Attacks in North America Over the Last 20 Years]]
* [https://www.nps.gov/articles/bearattacks.htm Bear Attacks (U.S. National Park Service)]
* [[https://www.nps.gov/articles/bearattacks.htm|Bear Attacks (U.S. National Park Service)]]
 
<RiskModel name="location_risk" calculation="location_risk_probability * location_odds_ratio">Your location-based risk is about {result}%</RiskModel>


'''Activity'''
'''Activity'''


<datatable2 table="activity" columns="activity|activity_risk_probability|activity_odds_ratio">
<datatable2 table="activity" columns="activity|activity_odds_ratio">
<head>
<head>
!Activity
!Activity
!Risk Probability (%)
!Odds Ratio
!Odds Ratio
</head>
</head>
Hiking/Camping with Dog|0.0002|2.0
Hiking/Camping with Dog|2.0
Hiking/Camping without Dog|0.0001|1.0
Hiking/Camping without Dog|1.0
Other Outdoor Activities|0.00008|0.8
Other Outdoor Activities|0.8
Indoor Activities|0.00002|0.2
Indoor Activities|0.2
</datatable2>
</datatable2>


Risk probabilities are derived from a study showing over 50% of 92 black bear attacks involved unleashed dogs (). Hiking/camping with a dog (0.0002%) has a higher risk due to dogs provoking bears. Hiking/camping without a dog (0.0001%) is the baseline. Other outdoor activities (0.00008%) and indoor activities (0.00002%) have lower risks. Odds ratios are scaled relative to hiking/camping without a dog (baseline = 1.0).
Odds ratios are scaled relative to hiking/camping without dog (baseline = 1.0). Hiking/camping with dog has higher odds (2.0) as over 50% of 92 black bear attacks involved dogs. Other activities have lower odds.
* [https://wiseaboutbears.org/bear-attacks/ Bear Attacks | Wise About Bears]
* [[https://wiseaboutbears.org/bear-attacks/|Bear Attacks | Wise About Bears]]
 
<RiskModel name="activity_risk" calculation="activity_risk_probability * activity_odds_ratio">Your activity-based risk is about {result}%</RiskModel>


'''Season'''
'''Season'''


<datatable2 table="season" columns="season|season_risk_probability|season_odds_ratio">
<datatable2 table="season" columns="season|season_percentage_attacks|season_months">
<head>
<head>
!Season
!Season
!Risk Probability (%)
!Percentage of Attacks
!Odds Ratio
!Number of Months
</head>
</head>
August|0.00015|2.0
Summer|50|3
Other Active Months|0.000075|1.0
Other Active Months|50|6
Hibernation Season|0.0|0.0
Hibernation Season|0|3
</datatable2>
</datatable2>


August has the highest attack rate (0.00015%) due to peak human activity and bear foraging (). Other active months (April–October, excluding August) have a lower rate (0.000075%). Hibernation season (November–March) has zero risk. Odds ratios are scaled relative to other active months (baseline = 1.0). Probabilities are estimated from North American data ().
Percentage of attacks by season is estimated from North American data, with summer peak. Number of months for normalization, assuming 9 active months.
* [https://www.newsweek.com/map-show-us-states-most-bear-attacks-1915599 Map Show US States With Most Bear Attacks]
* [[https://www.newsweek.com/map-show-us-states-most-bear-attacks-1915599|Map Show US States With Most Bear Attacks]]
 
<RiskModel name="season_risk" calculation="season_risk_probability * season_odds_ratio">Your season-based risk is about {result}%</RiskModel>


'''Precautionary Measures'''
'''Precautionary Measures'''


<datatable2 table="precautions" columns="precautions|precautions_risk_probability|precautions_odds_ratio">
<datatable2 table="precautions" columns="precautions|precautions_risk_reduction">
<head>
<head>
!Precautionary Measures
!Precautionary Measures
!Risk Probability (%)
!Risk Reduction Multiplier
!Odds Ratio
</head>
</head>
Bear Spray and Food Storage|0.000025|0.25
Bear Spray and Food Storage|0.02
Bear Spray Only|0.00005|0.5
Bear Spray Only|0.08
Food Storage Only|0.000075|0.75
Food Storage Only|0.5
No Precautions|0.0001|1.0
No Precautions|1.0
</datatable2>
</datatable2>


Bear spray reduces attack success by 90% (), and proper food storage reduces attractant-related attacks (). Combining both lowers risk significantly (0.000025%). Odds ratios are scaled relative to no precautions (baseline = 1.0). Probabilities are adjusted based on baseline risk from other tables and effectiveness data.
Risk reduction multiplier represents the remaining risk after precautions. Bear spray alone reduces risk to 0.08 (92% effectiveness). Combined with food storage assumes near-complete reduction (0.02). Food storage alone reduces to 0.5.
* [https://www.nps.gov/articles/bearattacks.htm Bear Attacks (U.S. National Park Service)]
* [[https://www.nps.gov/articles/bearattacks.htm|Bear Attacks (U.S. National Park Service)]]
* [https://bear.org/how-dangerous-are-black-bears/ How Dangerous Are Black Bears?]
* [[https://bear.org/how-dangerous-are-black-bears/|How Dangerous Are Black Bears?]]
 
<RiskModel name="encounter_risk" calculation="daily_encounter_rate * exposure_days * location_odds_ratio * activity_odds_ratio * (season_percentage_attacks / season_months) / (100 / 9) * precautions_risk_reduction">Your chance of having a dangerous, close encounter with a black bear is {{One_In_X|{result}}}</RiskModel>
 
<RiskModel name="injury_risk" calculation="daily_encounter_rate * exposure_days * location_odds_ratio * activity_odds_ratio * (season_percentage_attacks / season_months) / (100 / 9) * precautions_risk_reduction * injury_given_encounter">Your chance of being injured in a black bear attack is {{One_In_X|{result}}}</RiskModel>
 
<RiskModel name="fatality_risk" calculation="daily_encounter_rate * exposure_days * location_odds_ratio * activity_odds_ratio * (season_percentage_attacks / season_months) / (100 / 9) * precautions_risk_reduction * injury_given_encounter * fatality_given_injury">Your chance of being killed in a black bear attack is {{One_In_X|{result}}}</RiskModel>


<RiskModel name="precautions_risk" calculation="precautions_risk_probability * precautions_odds_ratio">Your precaution-based risk is about {result}%</RiskModel>
Note that risks are averages and vary by subgroup, geography, or circumstance.


<RiskModel name="black_bear_attack_risk" calculation="location_risk_probability * activity_odds_ratio * season_odds_ratio * precautions_odds_ratio">Your overall risk of a black bear attack is about {result}%</RiskModel>
Generated by an AI assistant.

Latest revision as of 03:18, 5 September 2025

Exposure

Exposure Level Number of Days Daily Encounter Rate Injury Given Encounter Fatality Given Injury

1 day

1

0.00000955

0.012

0.025

10 days

10

0.00000955

0.012

0.025

100 days

100

0.00000955

0.012

0.025

The number of days represents the exposure duration in black bear country. The daily encounter rate (0.00000955 or 9.55e-6) is calculated as 1010 close encounters (estimated using similar proportion as grizzlies for black bear interactions) divided by 105.6 million visits in Yellowstone from 1991-2022, adjusted for higher black bear interactions (10,081 total). Injury given encounter (0.012) is 5 injuries divided by estimated 410 close encounters. Fatality given injury (0.025) is based on 2-2.5% mortality rate in black bear attacks. These values are constant across rows as they represent base rates.

Location

Location Odds Ratio

Alaska

3.0

Appalachian Trail States

1.4

Other Bear-Populated States

1.0

Non-Bear Area

0.0

Odds ratios are scaled relative to other bear-populated states (baseline = 1.0) based on attack frequency and population exposure. Alaska has higher odds (3.0) due to high black bear density and 3.5 times more fatal attacks than lower 48 states. Appalachian states have moderate odds based on documented attacks.

Activity

Activity Odds Ratio

Hiking/Camping with Dog

2.0

Hiking/Camping without Dog

1.0

Other Outdoor Activities

0.8

Indoor Activities

0.2

Odds ratios are scaled relative to hiking/camping without dog (baseline = 1.0). Hiking/camping with dog has higher odds (2.0) as over 50% of 92 black bear attacks involved dogs. Other activities have lower odds.

Season

Season Percentage of Attacks Number of Months

Summer

50

3

Other Active Months

50

6

Hibernation Season

0

3

Percentage of attacks by season is estimated from North American data, with summer peak. Number of months for normalization, assuming 9 active months.

Precautionary Measures

Precautionary Measures Risk Reduction Multiplier

Bear Spray and Food Storage

0.02

Bear Spray Only

0.08

Food Storage Only

0.5

No Precautions

1.0

Risk reduction multiplier represents the remaining risk after precautions. Bear spray alone reduces risk to 0.08 (92% effectiveness). Combined with food storage assumes near-complete reduction (0.02). Food storage alone reduces to 0.5.

  RiskModel: Black Bear Attacks in the USA/Data:encounter_risk
Calculation: daily_encounter_rate * exposure_days * location_odds_ratio * activity_odds_ratio * (season_percentage_attacks / season_months) / (100 / 9) * precautions_risk_reduction
    Content: Your chance of having a dangerous, close encounter with a black bear is {{One_In_X|{result}}}
  RiskModel: Black Bear Attacks in the USA/Data:injury_risk
Calculation: daily_encounter_rate * exposure_days * location_odds_ratio * activity_odds_ratio * (season_percentage_attacks / season_months) / (100 / 9) * precautions_risk_reduction * injury_given_encounter
    Content: Your chance of being injured in a black bear attack is {{One_In_X|{result}}}
  RiskModel: Black Bear Attacks in the USA/Data:fatality_risk
Calculation: daily_encounter_rate * exposure_days * location_odds_ratio * activity_odds_ratio * (season_percentage_attacks / season_months) / (100 / 9) * precautions_risk_reduction * injury_given_encounter * fatality_given_injury
    Content: Your chance of being killed in a black bear attack is {{One_In_X|{result}}}

Note that risks are averages and vary by subgroup, geography, or circumstance.

Generated by an AI assistant.