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Variation in the Phenology of Natural Populations of Montane ...

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RICHARD B. PRIMACK 855<br />

35<br />

-<br />

1976-77<br />

30 -<br />

20~~~~~~~~~~~<br />

-<br />

10 _<br />

11 16 18 21 24 26 28 30 1 3 5 7 9 I'l 1'3 15 I? 17 9 21 2J3 25 2'7 31 4<br />

December<br />

Jonuory<br />

35 - 1977-78<br />

20 __<br />

11 16 18 21 24 26 28 30 4 7 9 1 13 15 17 1 21 2 25 37<br />

1<br />

70 5 21 2<br />

-4.>~~~~~~~~~~~4<br />

December<br />

Jonuary<br />

FIG. 3. Flower<strong>in</strong>g dates <strong>of</strong> thirty-five plants <strong>of</strong> Dracophylluim spp. <strong>in</strong> 2 yr <strong>in</strong> New Zealand. See Fig. 1<br />

for an explanation <strong>of</strong> symbols.<br />

<strong>in</strong> a population, occurs primarily dur<strong>in</strong>g <strong>the</strong> shorter period <strong>of</strong> abundant flower<strong>in</strong>g. When<br />

a plant flowers strongly, only a portion <strong>of</strong> <strong>the</strong> o<strong>the</strong>r plants <strong>in</strong> <strong>the</strong> population are similarly<br />

flower<strong>in</strong>g strongly and capable <strong>of</strong> exchang<strong>in</strong>g genes. The degree <strong>of</strong> overlap <strong>in</strong> flower<strong>in</strong>g<br />

among <strong>in</strong>dividuals can be quantified by calculat<strong>in</strong>g for all possible pairs <strong>of</strong> n <strong>in</strong>dividuals,<br />

c = a/b<br />

where a is <strong>the</strong> number <strong>of</strong> census dates on which plants are flower<strong>in</strong>g strongly, and b is<br />

<strong>the</strong> number <strong>of</strong> census dates for whichever <strong>in</strong>dividual flowered strongly for <strong>the</strong> fewest<br />

census dates. An <strong>in</strong>dex <strong>of</strong> overlap <strong>in</strong> flower<strong>in</strong>g, Z, for <strong>the</strong> <strong>in</strong>dividuals <strong>in</strong> a population<br />

would be<br />

where <strong>the</strong> number <strong>of</strong> comparisons will be<br />

N = n(n - 1)/2.<br />

The <strong>in</strong>dex <strong>of</strong> overlap would be 1.0 with complete overlap and 0.0 with no overlap.<br />

The <strong>in</strong>dices <strong>of</strong> flower<strong>in</strong>g overlap for <strong>the</strong> two successive seasons are 0.68 and 0.74 for<br />

Leptospermum, 0.42 and 0.74 for Discaria, and 0*34 and 0.41 for Dracophyllum. Each

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