Appendix A
Tables in the first section of this appendix provide statistical support for the results presented for the Shinob Kibe 2018 pollen manipulation experiment in
Figure 1 and
Figure 2 in the main text. Fruit set, seed viability, fertilization success, and filled seed proportion were analyzed as binomial variables using SAS 9.4 PROC GLIMMIX; seeds per capsule and seed mass were analyzed using SAS 9.4 (SAS Institute, Cary, NC, USA) PROC GLM. WDS refers to the White Dome salvage collection; this comparison is included when available.
Table A1.
Fruit Set (fruit number/flower number).
Table A1.
Fruit Set (fruit number/flower number).
Type III Tests of Fixed Effects |
---|
Effect | Num DF | Den DF | F Value | Pr > F |
---|
TREAT | 2 | 98 | 5.86 | 0.0039 |
Differences of TREAT Least Squares Means |
TREAT | _TREAT | Estimate | Standard Error | DF | t Value | Pr > |t| |
Interpop | Control | 1.1734 | 0.3920 | 98 | 2.99 | 0.0035 |
Interpop | Intrapop | 0.6309 | 0.4903 | 98 | 1.29 | 0.2011 |
Control | Intrapop | −0.5424 | 0.3078 | 98 | −1.76 | 0.0812 |
Table A2.
Filled Seed Number per Capsule.
Table A2.
Filled Seed Number per Capsule.
Source | DF | Sum of Squares | Mean Square | F Value | Pr > F |
---|
Model | 3 | 118.654465 | 39.551488 | 1.53 | 0.2115 |
Error | 109 | 2822.313311 | 25.892783 | | |
Corrected Total | 112 | 2940.967775 | | | |
Least Squares Means Differences for Effect Treat Pr > |t| for H0: LSMean(i)= LSMean(j) Dependent Variable: Filled Seed Number |
i/j | Control | Interpop | Intrapop | WDS |
Control | | 0.1320 | 0.0445 | 0.2450 |
Interpop | 0.1320 | | 0.6211 | 0.9935 |
Intrapop | 0.0445 | 0.6211 | | 0.6945 |
WDS | 0.2450 | 0.9935 | 0.6945 | |
Table A3.
Seed Mass.
Source | DF | Sum of Squares | Mean Square | F Value | Pr > F |
---|
Model | 3 | 1.82539175 | 0.60846392 | 9.92 | <0.0001 |
Error | 108 | 6.62135022 | 0.06130880 | | |
Least Squares Means Differences for Effect Treat Pr > |t| for H0: LSMean(i) = LSMean(j) Dependent Variable: Seed Mass |
i/j | Control | Interpop | Intrapop | WDS |
Control | | <0.0001 | <0.0001 | 0.6023 |
Interpop | <0.0001 | | 0.7025 | 0.0031 |
Intrapop | <0.0001 | 0.7025 | | 0.0072 |
WDS | 0.6023 | 0.0031 | 0.0072 | |
Table A4.
Seed Viability.
Table A4.
Seed Viability.
Type III Tests of Fixed Effects |
---|
Effect | Num DF | Den DF | F Value | Pr > F |
---|
TREAT | 3 | 4 | 8.52 | 0.0327 |
Differences of TREAT Least Squares Means |
TREAT | _TREAT | Estimate | Standard Error | DF | t Value | Pr > |t| |
Control | Interpop | 3.5184 | 1.0307 | 4 | 3.41 | 0.0269 |
Control | Intrapop | 3.3691 | 1.0330 | 4 | 3.26 | 0.0310 |
Control | WDS | 1.0883 | 1.1636 | 4 | 0.94 | 0.4026 |
Interpop | Intrapop | −0.1493 | 0.3296 | 4 | −0.45 | 0.6741 |
Interpop | WDS | −2.4301 | 0.6290 | 4 | −3.86 | 0.0181 |
Interpop | WDS | −2.2809 | 0.6327 | 4 | −3.61 | 0.0227 |
Table A5.
Fertilization Success (fertilized ovules/total ovules).
Table A5.
Fertilization Success (fertilized ovules/total ovules).
Type III Tests of Fixed Effects |
---|
Effect | Num DF | Den DF | F Value | Pr > F |
---|
TREAT | 3 | 109 | 3.62 | 0.0155 |
Differences of treat Least Squares Means |
TREAT | _TREAT | Estimate | Standard Error | DF | t Value | Pr > |t| |
Control | Interpop | 0.09167 | 0.1053 | 109 | 0.87 | 0.3860 |
Control | Intrapop | 0.1392 | 0.1050 | 109 | 1.33 | 0.1876 |
Control | WDS | 0.4110 | 0.1260 | 109 | 3.26 | 0.0015 |
Interpop | Intrapop | 0.04756 | 0.1100 | 109 | 0.43 | 0.6662 |
Interpop | WDS | 0.3193 | 0.1302 | 109 | 2.45 | 0.0157 |
Intrapop | WDS | 0.2718 | 0.1299 | 109 | 2.09 | 0.0388 |
Table A6.
Filled Seed Proportion (filled seeds/total ovules).
Table A6.
Filled Seed Proportion (filled seeds/total ovules).
Type III Tests of Fixed Effects |
---|
Effect | Num DF | Den DF | F Value | Pr > F |
---|
TREAT | 3 | 109 | 4.50 | 0.0051 |
Differences of Treat Least Squares Means |
TREAT | _TREAT | Estimate | Standard Error | DF | t Value | Pr > |t| |
Control | Interpop | −0.01625 | 0.1040 | 109 | −0.16 | 0.8761 |
Control | Intrapop | 0.04000 | 0.1037 | 109 | 0.39 | 0.7005 |
Control | WDS | 0.4180 | 0.1255 | 109 | 3.33 | 0.0012 |
Interpop | Intrapop | 0.05625 | 0.1091 | 109 | 0.52 | 0.6074 |
Interpop | WDS | 0.4343 | 0.1300 | 109 | 3.34 | 0.0011 |
Intrapop | WDS | 0.3780 | 0.1298 | 109 | 2.91 | 0.0043 |
ANOVA
Table A7 through
Table A16 provide support for in support of among-population comparisons for 2019 and 2020 presented in
Figure 3 and
Figure 4. The two study years were analyzed separately. BH = Beehive Dome, SK = Shinob Kibe, TQ = Tonaquint, WD = White Dome. SAS 9.4 (SAS Institute, Cary, NC, USA) Proc GLIMMIX was used for analysis of binomial variables; SAS Proc GLM was used for continuous variables.
Table A7.
2019 Four Population Fruit Set.
Table A7.
2019 Four Population Fruit Set.
Source | DF | Type III SS | Mean Square | F Value | Pr > F |
---|
Population | 3 | 0.03031437 | 0.01010479 | 4.64 | 0.0033 |
Least Squares Means for Effect Population Pr > |t| for H0: LSMean(i) = LSMean(j) Dependent Variable: Fruit Set |
i/j | BH | SK | TQ | WD |
BH | | 0.0368 | 0.0104 | 0.0003 |
SK | 0.0368 | | 0.6083 | 0.1123 |
TQ | 0.0104 | 0.6083 | | 0.2856 |
WD | 0.0003 | 0.1123 | 0.2856 | |
Table A8.
2019 Four Population Seed Number per Capsule.
Table A8.
2019 Four Population Seed Number per Capsule.
Source | DF | Type III SS | Mean Square | F Value | Pr > F |
---|
Population | 3 | 7864.505205 | 2621.501735 | 47.72 | <0.0001 |
Least Squares Means for Effect Population Pr > |t| for H0: LSMean(i) = LSMean(j) Dependent Variable: Seed Number per Capsule |
i/j | BH | SK | TQ | WD |
BH | | <0.0001 | <0.0001 | <0.0001 |
SK | <0.0001 | | 0.0383 | 0.0013 |
TQ | <0.0001 | 0.0383 | | <0.0001 |
WD | <0.0001 | 0.0013 | <0.0001 | |
Table A9.
2019 Four Population Seed Mass.
Table A9.
2019 Four Population Seed Mass.
Source | DF | Type III SS | Mean Square | F Value | Pr > F |
---|
Population | 3 | 0.00002216 | 0.00000739 | 14.48 | <0.0001 |
Least Squares Means for Effect Population Pr > |t| for H0: LSMean(i) = LSMean(j) Dependent Variable: Seed Mass |
i/j | BH | SK | TQ | WD |
BH | | 0.0150 | 0.0137 | <0.0001 |
SK | 0.0150 | | 0.9216 | <0.0001 |
TQ | 0.0137 | 0.9216 | | <0.0001 |
WD | <0.0001 | <0.0001 | <0.0001 | |
Table A10.
2020 Four Population Fruit Set.
Table A10.
2020 Four Population Fruit Set.
Type III Tests of Fixed Effects |
---|
Effect | Num DF | Den DF | F Value | Pr > F |
---|
Population | 3 | 110 | 32.57 | <0.0001 |
Differences of Population Least Squares Means |
Population | _Population | Estimate | Standard Error | DF | t Value | Pr > |t| |
BD | SK | 0.7839 | 0.3138 | 110 | 2.50 | 0.0140 |
BD | TQ | −0.03196 | 0.3576 | 110 | −0.09 | 0.9289 |
BD | WD | 1.8912 | 0.2782 | 110 | 6.80 | <0.0001 |
SK | TQ | −0.8158 | 0.3028 | 110 | −2.69 | 0.0082 |
SK | WD | 1.1073 | 0.2030 | 110 | 5.45 | <0.0001 |
TQ | WD | 1.9231 | 0.2657 | 110 | 7.24 | <0.0001 |
Table A11.
2020 Four Population Seed Number per Capsule.
Table A11.
2020 Four Population Seed Number per Capsule.
Type III Tests of Fixed Effects |
---|
Effect | Num DF | Den DF | F Value | Pr > F |
---|
Population | 3 | 115 | 4.48 | 0.0052 |
Differences of Population Least Squares Means |
Population | _Population | Estimate | Standard Error | DF | t Value | Pr > |t| |
BD | SK | 5.1877 | 1.7400 | 115 | 2.98 | 0.0035 |
BD | TQ | 5.9050 | 1.7400 | 115 | 3.39 | 0.0009 |
BD | WD | 3.6571 | 1.7534 | 115 | 2.09 | 0.0392 |
SK | TQ | 0.7173 | 1.6789 | 115 | 0.43 | 0.6700 |
SK | WD | −1.5305 | 1.6928 | 115 | −0.90 | 0.3678 |
TQ | WD | −2.2478 | 1.6928 | 115 | −1.33 | 0.1869 |
Table A12.
2020 Four Population Seed Mass.
Table A12.
2020 Four Population Seed Mass.
Type III Tests of Fixed Effects |
---|
Effect | Num DF | Den DF | F Value | Pr > F |
---|
Population | 3 | 110 | 5.08 | 0.0025 |
Differences of Population Least Squares Means |
Population | _Population | Estimate | Standard Error | DF | t Value | Pr > |t| |
BD | SK | 0.1716 | 0.06172 | 110 | 2.78 | 0.0064 |
BD | TQ | 0.06126 | 0.06222 | 110 | 0.98 | 0.3270 |
BD | WD | 0.2163 | 0.06275 | 110 | 3.45 | 0.0008 |
SK | TQ | −0.1104 | 0.06059 | 110 | −1.82 | 0.0713 |
SK | WD | 0.04469 | 0.06114 | 110 | 0.73 | 0.4664 |
TQ | WD | 0.1550 | 0.06164 | 110 | 2.52 | 0.0133 |
Table A13.
2019 Four Population Fertilization Success.
Table A13.
2019 Four Population Fertilization Success.
Type III Tests of Fixed Effects |
---|
Effect | Num DF | Den DF | F Value | Pr > F |
---|
Population | 3 | 374 | 49.03 | <0.0001 |
Differences of Population Least Squares Means |
Population | _Population | Estimate | Standard Error | DF | t Value | Pr > |t| |
BH | SK | −0.7460 | 0.06667 | 374 | −11.19 | <0.0001 |
BH | TQ | −0.1050 | 0.07328 | 374 | −1.43 | 0.1528 |
BH | WD | −0.3692 | 0.07168 | 374 | −5.15 | <0.0001 |
SK | TQ | 0.6410 | 0.07107 | 374 | 9.02 | <0.0001 |
SK | WD | 0.3769 | 0.06942 | 374 | 5.43 | <0.0001 |
TQ | WD | −0.2642 | 0.07579 | 374 | −3.49 | 0.0005 |
Table A14.
2019 Four Population Filled Seed Proportion.
Table A14.
2019 Four Population Filled Seed Proportion.
Type III Tests of Fixed Effects |
---|
Effect | Num DF | Den DF | F Value | Pr > F |
---|
Population | 3 | 374 | 80.69 | <0.0001 |
Differences of Population Least Squares Means |
Population | _Population | Estimate | Standard Error | DF | t Value | Pr > |t| |
BH | SK | 0.2358 | 0.05134 | 374 | 4.59 | <0.0001 |
BH | TQ | 0.09845 | 0.05114 | 374 | 1.92 | 0.0550 |
BH | WD | 0.7847 | 0.05286 | 374 | 14.84 | <0.0001 |
SK | TQ | −0.1373 | 0.05484 | 374 | −2.50 | 0.0127 |
SK | WD | 0.5489 | 0.05645 | 374 | 9.72 | <0.0001 |
TQ | WD | 0.6862 | 0.05627 | 374 | 12.20 | <0.0001 |
Table A15.
2020 Four Population Fertilization Success.
Table A15.
2020 Four Population Fertilization Success.
Type III Tests of Fixed Effects |
---|
Effect | Num DF | Den DF | F Value | Pr > F |
---|
Population | 3 | 115 | 23.28 | <0.0001 |
Differences of Population Least Squares Means |
Population | _Population | Estimate | Standard Error | DF | t Value | Pr > |t| |
BD | SK | −0.9639 | 0.1251 | 115 | −7.70 | <0.0001 |
BD | TQ | −0.1252 | 0.1032 | 115 | −1.21 | 0.2277 |
BD | WD | −0.01607 | 0.09888 | 115 | −0.16 | 0.8712 |
SK | TQ | 0.8387 | 0.1283 | 115 | 6.54 | <0.0001 |
SK | WD | 0.9478 | 0.1248 | 115 | 7.59 | <0.0001 |
TQ | WD | 0.1091 | 0.1029 | 115 | 1.06 | 0.2909 |
Table A16.
2020 Four Population Filled Seed Proportion.
Table A16.
2020 Four Population Filled Seed Proportion.
Type III Tests of Fixed Effects |
---|
Effect | Num DF | Den DF | F Value | Pr > F |
---|
Population | 3 | 115 | 4.90 | 0.0031 |
Differences of Population Least Squares Means |
Population | _Population | Estimate | Standard Error | DF | t Value | Pr > |t| |
BD | SK | 0.02288 | 0.09125 | 115 | 0.25 | 0.8025 |
BD | TQ | 0.2660 | 0.08987 | 115 | 2.96 | 0.0037 |
BD | WD | 0.2436 | 0.08724 | 115 | 2.79 | 0.0061 |
SK | TQ | 0.2431 | 0.09369 | 115 | 2.60 | 0.0107 |
SK | WD | 0.2207 | 0.09117 | 115 | 2.42 | 0.0170 |
TQ | WD | −0.02240 | 0.08978 | 115 | −0.25 | 0.8034 |
This section of the appendix provides statistical support for the flower number x interplant distance analysis across three populations (Beehive Dome, Tonaquint, White Dome) in 2019 (
Figure 5 and
Figure 7) and for Shinob Kibe in 2018 and 2019 (
Figure 6). SAS 9.4 (SAS Institute, Cary, NC, USA) Proc GLIMMIX was used for analysis of binomial variables; SAS 9.4 (SAS Institute, Cary, NC, USA) Proc GLM was used for continuous variables.
Table A17.
The effect of maximum flower number and interplant distance on fruit set in the three-population study in 2019.
Table A17.
The effect of maximum flower number and interplant distance on fruit set in the three-population study in 2019.
Type III Tests of Fixed Effects |
---|
Effect | Num DF | Den DF | F Value | Pr > F |
---|
FLWNO | 1 | 267 | 0.18 | 0.6691 |
DISTANCE | 1 | 267 | 0.15 | 0.6955 |
FLWNO*DISTANCE | 1 | 267 | 0.06 | 0.8137 |
POP | 2 | 267 | 2.13 | 0.1206 |
FLWNO*POP | 2 | 267 | 0.34 | 0.7147 |
DISTANCE*POP | 2 | 267 | 0.37 | 0.6894 |
FLWNO*DISTANCE*POP | 2 | 267 | 0.19 | 0.8240 |
Table A18.
The effect of maximum flower number and interplant distance on fruit set at Shinob Kibe in 2018 and 2019.
Table A18.
The effect of maximum flower number and interplant distance on fruit set at Shinob Kibe in 2018 and 2019.
Type III Tests of Fixed Effects |
---|
Year | Effect | Num DF | Den DF | F Value | Pr > F |
---|
2018 | MAXFLW | 1 | 30 | 1.70 | 0.2027 |
DISTANCE | 1 | 30 | 0.04 | 0.8431 |
MAXFLW*DISTANCE | 1 | 30 | 0.00 | 0.9682 |
2019 | MAXFLW | 1 | 95 | 0.21 | 0.6449 |
DISTANCE | 1 | 95 | 0.00 | 0.9759 |
MAXFLW*DISTANCE | 1 | 95 | 0.15 | 0.7023 |
Table A19.
The effect of maximum flower number and interplant distance on fertilization success across three populations in 2019 and for these three populations analyzed separately.
Table A19.
The effect of maximum flower number and interplant distance on fertilization success across three populations in 2019 and for these three populations analyzed separately.
Type III Tests of Fixed Effects |
---|
Population | Effect | Num DF | Den DF | F Value | Pr > F |
---|
Three-population | POP | 2 | 260 | 4.08 | 0.0180 |
MAXFLW | 1 | 260 | 5.01 | 0.0261 |
MAXFLW*POP | 2 | 260 | 2.86 | 0.0590 |
DISTANCE | 1 | 260 | 0.37 | 0.5420 |
DISTANCE*POP | 2 | 260 | 0.13 | 0.8789 |
MAXFLW*DISTANCE | 1 | 260 | 1.02 | 0.3145 |
MAXFLW*DISTANCE*POP | 2 | 260 | 0.30 | 0.7384 |
Beehive Dome | MAXFLW | 1 | 89 | 0.04 | 0.8406 |
DISTANCE | 1 | 89 | 1.03 | 0.3135 |
MAXFLW*DISTANCE | 1 | 89 | 1.11 | 0.2952 |
Tonaquint | MAXFLW | 1 | 86 | 10.19 | 0.0020 |
DISTANCE | 1 | 86 | 0.13 | 0.7172 |
MAXFLW*DISTANCE | 1 | 86 | 1.21 | 0.2745 |
White Dome | MAXFLW | 1 | 85 | 0.22 | 0.6410 |
DISTANCE | 1 | 85 | 0.00 | 0.9978 |
MAXFLW*DISTANCE | 1 | 85 | 0.00 | 0.9601 |
Table A20.
The effect of maximum flower number and interplant distance on filled seed proportion across three populations in 2019 and for these three populations analyzed separately.
Table A20.
The effect of maximum flower number and interplant distance on filled seed proportion across three populations in 2019 and for these three populations analyzed separately.
Type III Tests of Fixed Effects |
---|
Population | Effect | Num DF | Den DF | F Value | Pr > F |
---|
Three-population | POP | 2 | 260 | 35.71 | <0.0001 |
MAXFLW | 1 | 260 | 4.79 | 0.0295 |
MAXFLW*POP | 2 | 260 | 12.64 | <0.0001 |
DISTANCE | 1 | 260 | 18.70 | <0.0001 |
DISTANCE*POP | 2 | 260 | 3.63 | 0.0279 |
MAXFLW*DISTANCE | 1 | 260 | 1.23 | 0.2681 |
MAXFLW*DISTANCE*POP | 2 | 260 | 2.93 | 0.0554 |
Beehive Dome | MAXFLW | 1 | 89 | 8.74 | 0.0040 |
DISTANCE | 1 | 89 | 5.94 | 0.0168 |
MAXFLW*DISTANCE | 1 | 89 | 8.61 | 0.0043 |
Tonaquint | MAXFLW | 1 | 86 | 4.56 | 0.0355 |
DISTANCE | 1 | 86 | 14.79 | 0.0002 |
MAXFLW*DISTANCE | 1 | 86 | 3.25 | 0.0747 |
White Dome | MAXFLW | 1 | 85 | 13.00 | 0.0005 |
DISTANCE | 1 | 85 | 1.61 | 0.2083 |
MAXFLW*DISTANCE | 1 | 85 | 1.58 | 0.2129 |
Table A21.
The effect of maximum flower number and interplant distance on fertilization success at Shinob Kibe in 2018 and 2019.
Table A21.
The effect of maximum flower number and interplant distance on fertilization success at Shinob Kibe in 2018 and 2019.
Type III Tests of Fixed Effects |
---|
Year | Effect | Num DF | Den DF | F Value | Pr > F |
---|
2018 | MAXFLW | 1 | 30 | 4.91 | 0.0345 |
DISTANCE | 1 | 30 | 0.30 | 0.5888 |
MAXFLW*DISTANCE | 1 | 30 | 0.73 | 0.4008 |
2019 | MAXFLW | 1 | 95 | 8.44 | 0.0046 |
DISTANCE | 1 | 95 | 0.24 | 0.6232 |
MAXFLW*DISTANCE | 1 | 95 | 3.60 | 0.0609 |
Table A22.
The effect of interplant distance and flower number on filled seed proportion at Shinob Kibe in 2018 and 2019.
Table A22.
The effect of interplant distance and flower number on filled seed proportion at Shinob Kibe in 2018 and 2019.
Type III Tests of Fixed Effects |
---|
Year | Effect | Num DF | Den DF | F Value | Pr > F |
---|
2018 | MAXFLW | 1 | 30 | 4.80 | 0.0363 |
DISTANCE | 1 | 30 | 0.18 | 0.6786 |
MAXFLW*DISTANCE | 1 | 30 | 0.24 | 0.6289 |
2019 | MAXFLW | 1 | 95 | 0.86 | 0.3562 |
DISTANCE | 1 | 95 | 0.07 | 0.7848 |
MAXFLW*DISTANCE | 1 | 95 | 0.21 | 0.6469 |