Claim status
Excess rate unsupported
In the record
NOAA account of the Bermuda Triangle
Testable
Incidents per comparable voyage or exposure interval
Method
Compare counts after dividing by traffic exposure
SKY & SEA / CASE FILE

Bermuda Triangle: 2 against 4 per 100,000 voyages

Scaled to traffic the region records 2 per 100,000 voyages against a comparison region's 4 per 100,000 voyages, a rate ratio of 0.5×.

The western Atlantic contains storms, shoals and the Gulf Stream. It also carries heavy traffic. A map can enclose genuine hazards and genuine incidents while leaving out the voyages that passed through normally. To establish an exceptional region, the incident list needs the size of the activity that produced it.

Run the calculation
A green scanner illustration of a flying saucer above a desertAn unidentified signal is where the work begins.
01 / THE CLAIM

The outline is claimed to identify a special danger

The claim is that a particular triangular region of the Atlantic produces an unusual number of disappearances through a force not found in ordinary ocean navigation. A long list of incidents can make that proposition feel numerical. It is still only half a rate. Without the number of voyages, their duration and a comparable region, the list cannot show how often an individual journey encounters trouble.

02 / THE CASE

Real ocean conditions fit inside a drawn border

NOAA identifies familiar hazards in the region, including tropical storms and hurricanes, changes associated with the Gulf Stream, and shallow waters that complicate navigation. None becomes less real because it has been attached to a famous label. The strongest version of the case begins with that difficult marine environment, rather than pretending the Atlantic is harmless.

The region also lacks an official boundary. Moving a line can include another event while simultaneously including more traffic. Changing the outline after examining the incidents creates a second problem: the area selected for a striking history is no longer an independently chosen test of whether that history is unusual.

NOAA reports no evidence that mysterious disappearances occur more frequently there than in other large, heavily travelled ocean areas. That is a comparative finding. It does not require a complete explanation for every event ever reported in the region. It asks whether the category, measured against comparable activity, establishes an excess.

03 / THE COMPUTATION

Count voyages as well as incidents

The instrument compares two hypothetical regions over the same period, using the same definition of an incident. The opening example assigns the triangle-labelled region 20 incidents in one million voyages, and a comparison region 10 incidents in 250,000 voyages. These are adjustable examples, not an inventory of Atlantic losses.

The larger incident count produces the lower rate. The first region has 2 incidents per 100,000 voyages; the second has 4. Their rate ratio is 0.5. If both regions instead carried one million voyages, the ratio would become 2. The count of incidents has not changed. The missing denominator has changed the conclusion.

For this simple comparison, a voyage is the exposure unit. A serious comparison would define that unit consistently: two short coastal journeys need not represent the same time at sea as two ocean crossings. Ship type, weather and reporting practices also determine whether the two sets are comparable. Those are variables to match in the evidence, not quantities that can be repaired by drawing a more dramatic boundary.

Increasing the first region’s voyage count reduces its rate in direct proportion. Increasing its incident count raises the rate. The comparator works the same way. A ratio above one means only that the selected counts imply a higher observed rate; it does not identify the cause or establish that a small difference exceeds chance variation.

RUN THE NUMBERS

Compare incident rates fairly

Both regions use the same incident definition and period. All opening counts are illustrative; enter matching voyage counts for the same populations.

Calculation inputs
incidents

Illustrative count. Doubling it doubles region A’s rate.

voyages

Illustrative exposure. Doubling it halves region A’s rate.

incidents

Illustrative comparator count. Raising it lowers the A-to-B rate ratio.

voyages

Illustrative comparator exposure. Raising it increases the A-to-B rate ratio.

A-to-B incident-rate ratio0.5×

A value below one means fewer incidents per voyage in A; above one means more.

Region A rate2 per 100,000 voyages

The incident count after allowing for the selected traffic volume.

Region B rate4 per 100,000 voyages

The comparator rate on the same exposure scale.

Working tape
  1. Region A incidents per voyage20 ÷ 1,000,000 = 0.00002
  2. Region B incidents per voyage10 ÷ 250,000 = 0.00004
  3. Region A per 100,000 voyages0.00002 × 100,000 = 2
  4. Region B per 100,000 voyages0.00004 × 100,000 = 4
  5. Region A rate divided by region B rate0.00002 ÷ 0.00004 = 0.5
04 / THE FINDING

A larger dossier can describe a lower rate

Twenty incidents in a million hypothetical voyages give 2 incidents per 100,000 voyages. Ten incidents in 250,000 give 4. The region with twice the incidents has half the incident rate because it carries four times the traffic. An incident list becomes a comparative result only when its exposure is counted too.

NOAA’s regional assessment finds no evidence of an exceptional disappearance rate. Weather and navigation supply real hazards; traffic supplies opportunities for incidents; the triangle supplies the shape of the filing cabinet. The first two must be measured before the third can explain anything.

All Sky & Sea
Resolve the vertical component of the line of sight

GoFast target altitude

The released angles put the target 3,591 m below the aircraft, at 4,029 m. The apparent speed comes from parallax, not from the sea surface.

Thin-lens geometry for a distant point source

Triangular UFO bokeh

Defocus spreads a point light 50.5 pixels wide, 0.253 mm at the sensor, in the aperture's shape. The triangle comes from the iris, not the sky.