Table 2

Parameter estimates (± SE) from the highest ranked models for each component of the pollination fitness function. All traits were centered on the patch mean and standardized by the grand mean (z¯¯). Thus, the units are the change in log odds of being visited per change in trait mean (logP×z¯¯1) or the change in log pollen per change in trait mean (logP×z¯¯1). The R2 is the proportion of variance explained by the model. Model selection was based on AICc, but AIC was used to obtain the summed AIC for the full pollination fitness function and is reported as (minus) the difference, ∆AIC, from the intercept-only model

ModelParametersLa Mancha 2006La Mancha 2007Puerto Morelos 2006Puerto Morelos 2007Puente la Amistad 2014Palo Verde 2014Palo Verde 2015Horizontes 2015
VisitationIntercept (a1), log odds1.28 ± 0.260.06 ± 0.19−0.53 ± 0.311.96 ± 0.790.01 ± 1.193.16 ± 1.042.69 ± 0.52
UBA(b11),logodds×z¯¯11.64 ± 1.270.79 ± 0.880.89 ± 0.79–0.87 ± 1.926.08 ± 2.504.82 ± 3.571.95 ± 2.62
GA (b12), logodds×z¯¯11.79 ± 0.980.13 ± 0.532.09 ± 0.770.56 ± 2.79–3.34 ± 2.89–0.18 ± 3.40–2.68 ± 3.31
Height (b13), logodds×z¯¯1NANANANA8.84 ± 3.002.61 ± 2.12
UBA:GA, logodds×z¯¯1–18.6 ± 11.7
GA:Height, logodds×z¯¯1NANANANA–40.1 ± 18.5
R24%1%11%0%12%4%1%
# parameters5555775
∆AIC3.4–2.713.0–3.520.9–0.2–2.5
Pollen (PF)Intercept (a2), log PF3.06 ± 0.123.09 ± 0.191.22 ± 0.540.46 ± 0.342.02 ± 0.632.88 ± 0.232.85 ± 0.173.74 ± 0.21
UBA (b21), logPF×z¯¯11.30 ± 0.490.42 ± 1.010.60 ± 1.202.97 ± 1.21–4.58 ± 1.501.80 ± 1.022.17 ± 0.802.06 ± 0.84
GA (b22), logPF×z¯¯1–0.47 ± 0.40–0.38 ± 0.66–0.56 ± 1.34–3.15 ± 1.703.00 ± 2.81–2.40 ± 1.070.27 ± 0.911.38 ± 0.92
GSD (b23), logPF×z¯¯1–0.39 ± 0.54–1.27 ± 1.52–2.04 ± 1.865.73 ± 2.79–6.90 ± 2.50–1.50 ± 1.43–1.75 ± 0.95–0.90 ± 0.93
Height (b24), logPF×z¯¯1NANANANA–0.12 ± 1.88
UBA:GA, logPF×z¯¯16.86 ± 3.94
UBA:GSD, logPF×z¯¯1–22.3 ± 9.31–11.2 ± 4.69
UBA:Height, logPF×z¯¯1NANANANA32.0 ± 8.67
GA:GSD, logPF×z¯¯14.65 ± 2.37
GSD:Height, logPF×z¯¯1NANANANA54.8 ± 16.2
R21%0%0%0%07%2%6%
# parameters76769667
∆AIC4.1–4.9–3.37.55.8–1.54.86.2
Pollen (PB)Intercept (a3), log PB3.45 ± 0.133.31 ± 0.141.42 ± 0.31.83 ± 0.251.62 ± 0.482.42 ± 0.212.38 ± 0.243.48 ± 0.17
UBA (b31), logPB×z¯¯1–0.24 ± 0.540.09 ± 0.960.78 ± 0.77–1.14 ± 0.94–0.86 ± 1.030.06 ± 1.690.59 ± 1.38–0.41 ± 0.98
GA (b32), logPB×z¯¯1–0.03 ± 0.450.55 ± 0.490.01 ± 0.754.33 ± 1.61–1.13 ± 1.621.79 ± 1.85–0.37 ± 1.96–0.74 ± 1.32
GSD (b33), logPB×z¯¯10.04 ± 0.69–0.5 ± 1.41.37 ± 1.211.43 ± 1.996.03 ± 1.680.29 ± 1.793.01 ± 1.812.89 ± 1.30
ASD (b34), logPB×z¯¯1–0.53 ± 0.290.18 ± 0.27–0.49 ± 1.08–1.18 ± 0.980.07 ± 0.55–1.22 ± 1.290.52 ± 1.02–1.07 ± 0.51
Height (b35), logPB×z¯¯1NANANANA–2.22 ± 1.711.4 ± 0.82
UBA:GSD, logPB×z¯¯1–26.3 ± 7.31
UBA:Height, logPB×z¯¯1NANANANA–28.8 ± 9.83
GA:ASD, logPB×z¯¯1–1.52 ± 0.83
GA:Height, logPB×z¯¯1NANANANA16.8 ± 6.46
GSD:ASD, logPB×z¯¯1–6.28 ± 5.8719.7 ± 8.63
R21%0%9%14%3%6%24%20%
# parameters7887710107
∆AIC–4.9–5.1–3.8–3.83.3–2.12.12.8
SUM∆AIC2.6–12.75.90.230.0–3.66.76.5
ModelParametersLa Mancha 2006La Mancha 2007Puerto Morelos 2006Puerto Morelos 2007Puente la Amistad 2014Palo Verde 2014Palo Verde 2015Horizontes 2015
VisitationIntercept (a1), log odds1.28 ± 0.260.06 ± 0.19−0.53 ± 0.311.96 ± 0.790.01 ± 1.193.16 ± 1.042.69 ± 0.52
UBA(b11),logodds×z¯¯11.64 ± 1.270.79 ± 0.880.89 ± 0.79–0.87 ± 1.926.08 ± 2.504.82 ± 3.571.95 ± 2.62
GA (b12), logodds×z¯¯11.79 ± 0.980.13 ± 0.532.09 ± 0.770.56 ± 2.79–3.34 ± 2.89–0.18 ± 3.40–2.68 ± 3.31
Height (b13), logodds×z¯¯1NANANANA8.84 ± 3.002.61 ± 2.12
UBA:GA, logodds×z¯¯1–18.6 ± 11.7
GA:Height, logodds×z¯¯1NANANANA–40.1 ± 18.5
R24%1%11%0%12%4%1%
# parameters5555775
∆AIC3.4–2.713.0–3.520.9–0.2–2.5
Pollen (PF)Intercept (a2), log PF3.06 ± 0.123.09 ± 0.191.22 ± 0.540.46 ± 0.342.02 ± 0.632.88 ± 0.232.85 ± 0.173.74 ± 0.21
UBA (b21), logPF×z¯¯11.30 ± 0.490.42 ± 1.010.60 ± 1.202.97 ± 1.21–4.58 ± 1.501.80 ± 1.022.17 ± 0.802.06 ± 0.84
GA (b22), logPF×z¯¯1–0.47 ± 0.40–0.38 ± 0.66–0.56 ± 1.34–3.15 ± 1.703.00 ± 2.81–2.40 ± 1.070.27 ± 0.911.38 ± 0.92
GSD (b23), logPF×z¯¯1–0.39 ± 0.54–1.27 ± 1.52–2.04 ± 1.865.73 ± 2.79–6.90 ± 2.50–1.50 ± 1.43–1.75 ± 0.95–0.90 ± 0.93
Height (b24), logPF×z¯¯1NANANANA–0.12 ± 1.88
UBA:GA, logPF×z¯¯16.86 ± 3.94
UBA:GSD, logPF×z¯¯1–22.3 ± 9.31–11.2 ± 4.69
UBA:Height, logPF×z¯¯1NANANANA32.0 ± 8.67
GA:GSD, logPF×z¯¯14.65 ± 2.37
GSD:Height, logPF×z¯¯1NANANANA54.8 ± 16.2
R21%0%0%0%07%2%6%
# parameters76769667
∆AIC4.1–4.9–3.37.55.8–1.54.86.2
Pollen (PB)Intercept (a3), log PB3.45 ± 0.133.31 ± 0.141.42 ± 0.31.83 ± 0.251.62 ± 0.482.42 ± 0.212.38 ± 0.243.48 ± 0.17
UBA (b31), logPB×z¯¯1–0.24 ± 0.540.09 ± 0.960.78 ± 0.77–1.14 ± 0.94–0.86 ± 1.030.06 ± 1.690.59 ± 1.38–0.41 ± 0.98
GA (b32), logPB×z¯¯1–0.03 ± 0.450.55 ± 0.490.01 ± 0.754.33 ± 1.61–1.13 ± 1.621.79 ± 1.85–0.37 ± 1.96–0.74 ± 1.32
GSD (b33), logPB×z¯¯10.04 ± 0.69–0.5 ± 1.41.37 ± 1.211.43 ± 1.996.03 ± 1.680.29 ± 1.793.01 ± 1.812.89 ± 1.30
ASD (b34), logPB×z¯¯1–0.53 ± 0.290.18 ± 0.27–0.49 ± 1.08–1.18 ± 0.980.07 ± 0.55–1.22 ± 1.290.52 ± 1.02–1.07 ± 0.51
Height (b35), logPB×z¯¯1NANANANA–2.22 ± 1.711.4 ± 0.82
UBA:GSD, logPB×z¯¯1–26.3 ± 7.31
UBA:Height, logPB×z¯¯1NANANANA–28.8 ± 9.83
GA:ASD, logPB×z¯¯1–1.52 ± 0.83
GA:Height, logPB×z¯¯1NANANANA16.8 ± 6.46
GSD:ASD, logPB×z¯¯1–6.28 ± 5.8719.7 ± 8.63
R21%0%9%14%3%6%24%20%
# parameters7887710107
∆AIC–4.9–5.1–3.8–3.83.3–2.12.12.8
SUM∆AIC2.6–12.75.90.230.0–3.66.76.5

UBA = upper-bract area; GA = gland area; GSD = gland-stigma distance; ASD = anther-stigma distance; ∆AIC = subtract AIC of the best ranking model from AIC of the intercept-only model; NA = height not recorded in the study.

Table 2

Parameter estimates (± SE) from the highest ranked models for each component of the pollination fitness function. All traits were centered on the patch mean and standardized by the grand mean (z¯¯). Thus, the units are the change in log odds of being visited per change in trait mean (logP×z¯¯1) or the change in log pollen per change in trait mean (logP×z¯¯1). The R2 is the proportion of variance explained by the model. Model selection was based on AICc, but AIC was used to obtain the summed AIC for the full pollination fitness function and is reported as (minus) the difference, ∆AIC, from the intercept-only model

ModelParametersLa Mancha 2006La Mancha 2007Puerto Morelos 2006Puerto Morelos 2007Puente la Amistad 2014Palo Verde 2014Palo Verde 2015Horizontes 2015
VisitationIntercept (a1), log odds1.28 ± 0.260.06 ± 0.19−0.53 ± 0.311.96 ± 0.790.01 ± 1.193.16 ± 1.042.69 ± 0.52
UBA(b11),logodds×z¯¯11.64 ± 1.270.79 ± 0.880.89 ± 0.79–0.87 ± 1.926.08 ± 2.504.82 ± 3.571.95 ± 2.62
GA (b12), logodds×z¯¯11.79 ± 0.980.13 ± 0.532.09 ± 0.770.56 ± 2.79–3.34 ± 2.89–0.18 ± 3.40–2.68 ± 3.31
Height (b13), logodds×z¯¯1NANANANA8.84 ± 3.002.61 ± 2.12
UBA:GA, logodds×z¯¯1–18.6 ± 11.7
GA:Height, logodds×z¯¯1NANANANA–40.1 ± 18.5
R24%1%11%0%12%4%1%
# parameters5555775
∆AIC3.4–2.713.0–3.520.9–0.2–2.5
Pollen (PF)Intercept (a2), log PF3.06 ± 0.123.09 ± 0.191.22 ± 0.540.46 ± 0.342.02 ± 0.632.88 ± 0.232.85 ± 0.173.74 ± 0.21
UBA (b21), logPF×z¯¯11.30 ± 0.490.42 ± 1.010.60 ± 1.202.97 ± 1.21–4.58 ± 1.501.80 ± 1.022.17 ± 0.802.06 ± 0.84
GA (b22), logPF×z¯¯1–0.47 ± 0.40–0.38 ± 0.66–0.56 ± 1.34–3.15 ± 1.703.00 ± 2.81–2.40 ± 1.070.27 ± 0.911.38 ± 0.92
GSD (b23), logPF×z¯¯1–0.39 ± 0.54–1.27 ± 1.52–2.04 ± 1.865.73 ± 2.79–6.90 ± 2.50–1.50 ± 1.43–1.75 ± 0.95–0.90 ± 0.93
Height (b24), logPF×z¯¯1NANANANA–0.12 ± 1.88
UBA:GA, logPF×z¯¯16.86 ± 3.94
UBA:GSD, logPF×z¯¯1–22.3 ± 9.31–11.2 ± 4.69
UBA:Height, logPF×z¯¯1NANANANA32.0 ± 8.67
GA:GSD, logPF×z¯¯14.65 ± 2.37
GSD:Height, logPF×z¯¯1NANANANA54.8 ± 16.2
R21%0%0%0%07%2%6%
# parameters76769667
∆AIC4.1–4.9–3.37.55.8–1.54.86.2
Pollen (PB)Intercept (a3), log PB3.45 ± 0.133.31 ± 0.141.42 ± 0.31.83 ± 0.251.62 ± 0.482.42 ± 0.212.38 ± 0.243.48 ± 0.17
UBA (b31), logPB×z¯¯1–0.24 ± 0.540.09 ± 0.960.78 ± 0.77–1.14 ± 0.94–0.86 ± 1.030.06 ± 1.690.59 ± 1.38–0.41 ± 0.98
GA (b32), logPB×z¯¯1–0.03 ± 0.450.55 ± 0.490.01 ± 0.754.33 ± 1.61–1.13 ± 1.621.79 ± 1.85–0.37 ± 1.96–0.74 ± 1.32
GSD (b33), logPB×z¯¯10.04 ± 0.69–0.5 ± 1.41.37 ± 1.211.43 ± 1.996.03 ± 1.680.29 ± 1.793.01 ± 1.812.89 ± 1.30
ASD (b34), logPB×z¯¯1–0.53 ± 0.290.18 ± 0.27–0.49 ± 1.08–1.18 ± 0.980.07 ± 0.55–1.22 ± 1.290.52 ± 1.02–1.07 ± 0.51
Height (b35), logPB×z¯¯1NANANANA–2.22 ± 1.711.4 ± 0.82
UBA:GSD, logPB×z¯¯1–26.3 ± 7.31
UBA:Height, logPB×z¯¯1NANANANA–28.8 ± 9.83
GA:ASD, logPB×z¯¯1–1.52 ± 0.83
GA:Height, logPB×z¯¯1NANANANA16.8 ± 6.46
GSD:ASD, logPB×z¯¯1–6.28 ± 5.8719.7 ± 8.63
R21%0%9%14%3%6%24%20%
# parameters7887710107
∆AIC–4.9–5.1–3.8–3.83.3–2.12.12.8
SUM∆AIC2.6–12.75.90.230.0–3.66.76.5
ModelParametersLa Mancha 2006La Mancha 2007Puerto Morelos 2006Puerto Morelos 2007Puente la Amistad 2014Palo Verde 2014Palo Verde 2015Horizontes 2015
VisitationIntercept (a1), log odds1.28 ± 0.260.06 ± 0.19−0.53 ± 0.311.96 ± 0.790.01 ± 1.193.16 ± 1.042.69 ± 0.52
UBA(b11),logodds×z¯¯11.64 ± 1.270.79 ± 0.880.89 ± 0.79–0.87 ± 1.926.08 ± 2.504.82 ± 3.571.95 ± 2.62
GA (b12), logodds×z¯¯11.79 ± 0.980.13 ± 0.532.09 ± 0.770.56 ± 2.79–3.34 ± 2.89–0.18 ± 3.40–2.68 ± 3.31
Height (b13), logodds×z¯¯1NANANANA8.84 ± 3.002.61 ± 2.12
UBA:GA, logodds×z¯¯1–18.6 ± 11.7
GA:Height, logodds×z¯¯1NANANANA–40.1 ± 18.5
R24%1%11%0%12%4%1%
# parameters5555775
∆AIC3.4–2.713.0–3.520.9–0.2–2.5
Pollen (PF)Intercept (a2), log PF3.06 ± 0.123.09 ± 0.191.22 ± 0.540.46 ± 0.342.02 ± 0.632.88 ± 0.232.85 ± 0.173.74 ± 0.21
UBA (b21), logPF×z¯¯11.30 ± 0.490.42 ± 1.010.60 ± 1.202.97 ± 1.21–4.58 ± 1.501.80 ± 1.022.17 ± 0.802.06 ± 0.84
GA (b22), logPF×z¯¯1–0.47 ± 0.40–0.38 ± 0.66–0.56 ± 1.34–3.15 ± 1.703.00 ± 2.81–2.40 ± 1.070.27 ± 0.911.38 ± 0.92
GSD (b23), logPF×z¯¯1–0.39 ± 0.54–1.27 ± 1.52–2.04 ± 1.865.73 ± 2.79–6.90 ± 2.50–1.50 ± 1.43–1.75 ± 0.95–0.90 ± 0.93
Height (b24), logPF×z¯¯1NANANANA–0.12 ± 1.88
UBA:GA, logPF×z¯¯16.86 ± 3.94
UBA:GSD, logPF×z¯¯1–22.3 ± 9.31–11.2 ± 4.69
UBA:Height, logPF×z¯¯1NANANANA32.0 ± 8.67
GA:GSD, logPF×z¯¯14.65 ± 2.37
GSD:Height, logPF×z¯¯1NANANANA54.8 ± 16.2
R21%0%0%0%07%2%6%
# parameters76769667
∆AIC4.1–4.9–3.37.55.8–1.54.86.2
Pollen (PB)Intercept (a3), log PB3.45 ± 0.133.31 ± 0.141.42 ± 0.31.83 ± 0.251.62 ± 0.482.42 ± 0.212.38 ± 0.243.48 ± 0.17
UBA (b31), logPB×z¯¯1–0.24 ± 0.540.09 ± 0.960.78 ± 0.77–1.14 ± 0.94–0.86 ± 1.030.06 ± 1.690.59 ± 1.38–0.41 ± 0.98
GA (b32), logPB×z¯¯1–0.03 ± 0.450.55 ± 0.490.01 ± 0.754.33 ± 1.61–1.13 ± 1.621.79 ± 1.85–0.37 ± 1.96–0.74 ± 1.32
GSD (b33), logPB×z¯¯10.04 ± 0.69–0.5 ± 1.41.37 ± 1.211.43 ± 1.996.03 ± 1.680.29 ± 1.793.01 ± 1.812.89 ± 1.30
ASD (b34), logPB×z¯¯1–0.53 ± 0.290.18 ± 0.27–0.49 ± 1.08–1.18 ± 0.980.07 ± 0.55–1.22 ± 1.290.52 ± 1.02–1.07 ± 0.51
Height (b35), logPB×z¯¯1NANANANA–2.22 ± 1.711.4 ± 0.82
UBA:GSD, logPB×z¯¯1–26.3 ± 7.31
UBA:Height, logPB×z¯¯1NANANANA–28.8 ± 9.83
GA:ASD, logPB×z¯¯1–1.52 ± 0.83
GA:Height, logPB×z¯¯1NANANANA16.8 ± 6.46
GSD:ASD, logPB×z¯¯1–6.28 ± 5.8719.7 ± 8.63
R21%0%9%14%3%6%24%20%
# parameters7887710107
∆AIC–4.9–5.1–3.8–3.83.3–2.12.12.8
SUM∆AIC2.6–12.75.90.230.0–3.66.76.5

UBA = upper-bract area; GA = gland area; GSD = gland-stigma distance; ASD = anther-stigma distance; ∆AIC = subtract AIC of the best ranking model from AIC of the intercept-only model; NA = height not recorded in the study.

Close
This Feature Is Available To Subscribers Only

Sign In or Create an Account

Close

This PDF is available to Subscribers Only

View Article Abstract & Purchase Options

For full access to this pdf, sign in to an existing account, or purchase an annual subscription.

Close