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Gamma Theory

Modern Wild Faunal Resource Management

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Harvests Effect on Population: Gross Estimates and Thinking-through a Situation

Situation A

How many acres to you have? . . . 2000

The usual density is 1/30 acres. Thus, you know there are about 67 deer on the place.

How many deer did your group take? . . . 12

The reproductive rate in an unbalanced herd (excessive females) is probably close to 1.5 per female. Where 2/3 of the herd is female, then 67 x 0.67 = 45 females. These produce 67 fawns (45 x 1.5 = 67). The herd will increase; "habitat" will be damaged. An annual harvest of about one-half of the population - about 33 deer - is needed. About 20 of these should be does.
nbsp; Females Males Total
Before 45 22 67
Harvested 20 13 33
After 25 9 34

Production: 25 x 1.5 = 37

Total: 34 + 37 = 71

We're still increasing; production will increase due to new food density per remaining animal. All numbers are estimates based on expected values. Variation in seasons and observers is expected.

Situation B

Acres 7000

Deer Density 1/30 Acres

Population 7000/30 = 233 total deer

Sex Ratio 25:100 80% female

Remove 25% (a managerial first estimate)

Crippling loss is about 20% of reported harvest (x)

233 x 0.25 = x + x (0.2)

58 = 1.2 x

x = 48 (the desired harvest from hunting legally and reporting harvest)

Past years (2-3) harvest has been 60% male.

48 x 0.6 = 29 bucks removed (reported)

48 x 0.4 = 19 does removed (reported)

48 total

Actually 35 male, 23 female removed (or 58 total)

Food available: 7000 units/233 = 30 units of food/deer

After hunt: 7000/(233-58) = 40 units of food/deer Extra food results in increased natality and longer reproductive life.

186 females producing 0.8 young = 149 young [+ females + males = total population of 382]

186 - 23 * 0.91 (having increased) = 149 young

149/233 = 0.64 increase

149/175 = 0.85 increase

For population stability, if 149 are produced, then legal hunting, crippling, poaching and natural mortality must equal 149.


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Last revision January 17, 2000.