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Calcimator

Whale Migration Calculator

Estimate cetacean migration distance, travel time, and energy expenditure based on breeding/feeding ground coordinates, swim speed, and body mass.

Inputs

Results

One-way distance (km)

4,579

Round-trip distance (km)9,158
Travel time one-way (days)50.9
Round-trip travel (days)101.8
Total energy cost (MJ)169,841
Fat reserves needed (kg)4,510
Fat as % body mass15
Latitude Change Deg35
How to Use This Calculator
  1. Enter the migration route distance in kilometers from feeding to breeding grounds.
  2. Input the average swimming speed in km/day for the species.
  3. Set the estimated energy expenditure per km in megajoules.
  4. Review the total migration duration in days and energy budget for the round trip.
  5. Compare caloric demand to the energy available from blubber reserves to assess migration feasibility.

How the result changes with Feeding ground latitude (°)

Feeding ground latitude (°)One-way distance (km)
-7211,797
-276,137
271,474
726,690

What each input means

Breeding ground latitude (°)
Latitude of the breeding/calving area (positive = North, negative = South).
Breeding ground longitude (°)
Longitude of the breeding area (positive = East, negative = West).
Feeding ground latitude (°)
Latitude of the high-latitude feeding area.
Feeding ground longitude (°)
Longitude of the feeding area.
Swim speed (km/h)
Average sustained cruising speed. Humpback ~4-5 km/h, gray whale ~5-8 km/h, blue whale ~5-15 km/h.
Body mass (kg)
Adult body mass. Humpback ~25,000-30,000 kg, gray ~16,000-36,000 kg, blue ~100,000-150,000 kg.
Hours swimming/day
Hours per day spent actively swimming during migration (typically 16-20).

What each result means

One-way distance (km)
Estimated one-way migration distance including 15% detour factor.
Round-trip distance (km)
Total annual migration distance (both ways).
Travel time one-way (days)
Estimated days for one-way migration at cruising speed.
Round-trip travel (days)
Total days spent migrating per year.
Total energy cost (MJ)
Estimated total metabolic energy for the round-trip migration.
Fat reserves needed (kg)
Kilograms of blubber/fat needed to fuel the migration at 9,000 kcal/kg.
Fat as % body mass
Required fat reserves as a percentage of total body mass.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Breeding ground latitude (°) = 20, Breeding ground longitude (°) = -160, Feeding ground latitude (°) = 55, Feeding ground longitude (°) = -150 = 7 input(s) provided
  2. Calculate One-way distance
    One-way distance = straightLineDistKm * 1.15
    4579 = 4579
  3. Calculate Round-trip distance
    Round-trip distance = actualDistKm * 2
    9158 = 9158
  4. Calculate Travel time one-way
    50.9 = 50.9

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