Appendix D. A figure and table showing spatiotemporal variation in reproduction.
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| FIG. D1. Spatiotemporal variation in reproduction. (A) M. cardinalis flower number per reproductive individual, (B) M. lewisii flower number per reproductive individual, (C) M. cardinalis fruit set (percentage of flowers maturing fruit), (D) M. lewisii fruit set, (E) M. cardinalis seed number per fruit, and (F) M. lewisii seed number per fruit. Data presented are means + SE. Population abbreviations as follows: BU = Buck Meadows (830 m), RP = Rainbow Pool (833 m), WA = Wawona (1208 m), CA = Carlon (1320 m), ML = May Lake (2690 m), WF = Warren Fork (2750 m). Year abbreviations as follows: 00 = 2000, 01 = 2001, 02 = 2002, 03 = 2003. |
TABLE D1. Results of mixed-model analysis of variance testing the effects of range position, year, and population within range position on reproduction. Random effects denoted by ‘[R]’. Flower number log-transformed and fruit set arcsine square-root transformed prior to analysis. F tests for fixed effects constructed by SAS MIXED procedure, with denominator degrees of freedom (dfD) obtained from the Satterthwaite approximation. χ2 values for random effects from likelihood ratio tests. Values in bold remain significant after sequential Bonferroni adjustment to maintain table-wide Type I error of 0.05 for each species.
Species |
Source |
df |
dfD |
Seeds per plant |
dfD |
Flowers per plant |
dfD |
Fruit set |
dfD |
Seeds per fruit |
M. cardinalis |
Position |
1 |
10.7 |
20.97 *** |
9.5 |
23.26 *** |
2.0 |
15.89† |
1.9 |
2.34 |
Year |
3 |
10 |
2.07 |
9.1 |
2.71 |
5.6 |
1.22 |
107 |
12.40 **** |
|
Year × Position |
3 |
10 |
1.01 |
9.1 |
0.47 |
5.6 |
0.05 |
— |
— |
|
Pop(Position) [R] |
1 |
— |
0.00 |
— |
0.00 |
— |
1.40 |
— |
7.30 ** |
|
Pop × Year(Position) [R] |
1 |
— |
1.70 |
— |
3.1† |
— |
31.20 *** * |
— |
— |
|
M. lewisii |
Position |
1 |
13.83 ** |
1.7 |
4.06 |
7.1 |
17.43 ** |
138 |
91.8 **** |
|
Year |
3 |
0.21 |
4.3 |
0.04 |
7.1 |
2.44 |
138 |
1.72 |
||
Year × Position |
3 |
0.27 |
4.3 |
0.14 |
7.1 |
2.03 |
— |
— |
||
Pop(Position) [R] |
1 |
— |
0.00 |
— |
0.60 |
— |
0.00 |
— |
0.00 |
|
Pop × Year(Position) [R] |
1 |
— |
12.0 *** |
— |
5.20 * |
— |
15.70 *** |
— |
— |
† 0.05 < P < 0.10, * P<0.05, ** P < 0.01, *** P < 0.001, **** P < 0.0001.