| Literature DB >> 36078303 |
Suzanne Jane Dobbinson1, David Bard Buller2, James Andrew Chamberlain3, Jody Simmons4, Mary Klein Buller2.
Abstract
Reducing exposure to ultraviolet radiation (UV) is crucial for preventing UV-induced diseases of the skin and eyes. Shade may offer significant protection from UV. More empirical research to quantify the UV protection offered from built shade is needed to guide disease prevention practices and confidence in investment in shade. This study quantified UV levels under built-shade relative to unshaded passive recreation areas (PRAs) over summer months in parks in two cities. In a randomized controlled trial, n = 1144 UV measurements were conducted at the center and periphery of PRAs in a total sample of 144 public parks as part of pretest and posttest measures of use of the PRAs by park visitors for three recruitment waves per city during 2010 to 2014. Following pretest, 36 PRAs received built-shade and 108 did not. Regression analyses modelled pre-post change in UV (Standard Erythemal Dose (SED) per 30 min) at PRAs; and environmental predictors. Mean UV at the center of built-shade PRAs decreased from pretest to posttest (x¯ = 3.39, x¯ = 0.93 SED), a change of x¯ = -3.47 SED relative to control PRAs (p < 0.001) adjusting for the covariates of ambient SED, (cosine) solar elevation and cloud cover. Clouds decreased and solar elevation increased UV levels under shade. No significant differences in UV by shade design occurred. A substantial reduction in exposure to UV can be achieved using built-shade with shade cloth designs, offering considerable protection for shade users. Supplementary sun protection is recommended for extended periods of shade use during clear sky days.Entities:
Keywords: built environment; greenspace; landscape change; parks/trails; public health; shade; skin cancer prevention; ultraviolet radiation
Mesh:
Year: 2022 PMID: 36078303 PMCID: PMC9518543 DOI: 10.3390/ijerph191710583
Source DB: PubMed Journal: Int J Environ Res Public Health ISSN: 1660-4601 Impact factor: 4.614
Figure 1Schematic of workflow during two summers for each of three study waves, with the total number of PRAs for the study groups overall presented.
Figure 2Shade structures built at study parks: (a) Double shade sails; (b) Single shade sail in winter snow; (c) Single shade sail during summer; (d) Hip and ridge design (e) Hip and ridge design; (f) Double shade sails; (g) Cantilever design; (h) Custom wrap shade design.
Distribution of PRA observation conditions, percentages or means and (SD).
| Measurement | Denver | Melbourne | Treatment | Control | Pretest | Posttest | Total |
|---|---|---|---|---|---|---|---|
| N = 576 | N = 568 | N = 284 | N = 860 | N = 571 | N = 573 | N = 1144 | |
| Clear skies | 41.5% | 19.0% | 34.2% | 29.1% | 28.6% | 32.1% | 30.3% |
| Cloud present | 58.5% | 81.0% | 65.9% | 70.9% | 71.5% | 67.9% | 69.7% |
| Minutes to solar noon 1 | −36.3 | −47.1 | −33.1 | −44.5 | −42.4 | −41.0 | −41.6 |
| Days to summer solstice | 38.1 | 40.0 | 39.5 | 38.9 | 28.6 | 49.4 | 39.0 |
1. Reporting minutes at the end of the PRA observation period when the UV readings were conducted c.f. the minutes to solar noon at the start of the PRA observation analyzed and reported in previous publications.
Unadjusted solar UV per 30 min at n = 144 PRAs by position in PRA and test period-mean SED, in units of J/m2, (SD).
| Measurement |
|
| |||
|---|---|---|---|---|---|
| Location | N | Treatment | Control | Treatment | Control |
| PRA Center | 1144 | 3.39 (1.32) | 3.21 (1.38) | 0.93 (1.18) | 2.85 (1.36) |
| PRA Boundary | 1144 | 3.34 (1.35) | 3.22 (1.38) | 2.59 (1.46) | 2.86 (1.34) |
1. Before shade construction; 2. After shade construction.
Figure A1Unadjusted mean PRA center SED by study group at pretest and posttest: (a) during clear sky conditions; (b) during cloudy conditions.
Parameters estimated for the linear mixed model of SED during 30 min at the center of the PRAs (SEDC30) by test-period and intervention group.
| Fixed Effect Variables | Coef. | Robust | z | P > (z) | Lower 95% CI | Upper 95% CI |
|---|---|---|---|---|---|---|
| Strata—city and wave | ||||||
| Melbourne-Wave 1 | Ref | |||||
| Melbourne-Wave 2 | −0.001 | 0.076 | −0.01 | 0.991 | −0.15 | 0.15 |
| Melbourne-Wave 3 | 0.118 | 0.090 | 1.31 | 0.189 | −0.06 | 0.30 |
| Denver-Wave 1 | −0.084 | 0.076 | −1.09 | 0.274 | −0.23 | 0.07 |
| Denver-Wave 2 | −0.072 | 0.064 | −1.11 | 0.266 | −0.20 | 0.05 |
| Denver-Wave 3 | −0.144 | 0.082 | −1.75 | 0.080 | −0.31 | 0.02 |
| Treatment group | ||||||
| Shade | −0.101 | 0.163 | −0.62 | 0.535 | −0.42 | 0.22 |
| Test-period | ||||||
| Posttest | 0.194 | 0.130 | 1.49 | 0.136 | −0.06 | 0.45 |
| Treatment group and test-period | ||||||
| Shade-Posttest | −3.474 | 0.601 | −5.78 | 0.000 | −4.65 | −2.30 |
| Cosine solar elevation angle (SEA) | ||||||
| (continuous-degrees) | −0.266 | 0.216 | −1.23 | 0.218 | −0.69 | 0.16 |
| Treatment group with cosine SEA | ||||||
| Shade | 0.422 | 0.378 | 1.12 | 0.264 | −0.32 | 1.16 |
| Treatment group and test-period with cosine SEA | ||||||
| Control-Posttest | −0.431 | 0.284 | −1.52 | 0.129 | −0.99 | 0.13 |
| Shade-Posttest | 2.885 | 1.025 | 2.81 | 0.005 | 0.88 | 4.89 |
| Cloud (dummy variable) | ||||||
| Cloud cover present | −0.078 | 0.047 | −1.64 | 0.100 | −0.17 | −0.02 |
| Ambient (Boundary PRA) SEDs | ||||||
| Sedb30 (continuous) | 0.869 | 0.020 | 42.41 | 0.000 | 0.83 | 0.91 |
| Constant | ||||||
| 0.609 | 0.164 | 3.72 | 0.000 | 0.29 | 0.93 |
Adjusts for city by wave, ambient SED (boundary measures), cosine solar elevation, cloud cover and interaction terms for cosine solar elevation angle as fixed effects and park ID the random effect. N = 1144 observations of center SEDs; number of groups = 144; obs per group = avg 7.9 (7–8); Wald chi sq(14) = 5896.28; Prob > chi sq = 0.000; Std. Err. adjusted for 144 clusters in parkidu.
Random effects.
| Random Effects Parameters | Estimate | Robust Std. Err. | 95% CI | |
|---|---|---|---|---|
| Parkidu: Identity | ||||
| Var (_cons) | 0.0371745 | 0.010567 | 0.0212955 | 0.0648936 |
| Var (Residual) | 0.3268697 | 0.0383334 | 0.2597471 | 0.4113378 |
Interpretation: 0.037 is the variance between parks, and 0.327 is the variance between SED measurements within the same park.
Margins analysis—Table A1 linear mixed model post-estimation predicted values.
| Independent Variable Condition | Margin. | Delta-Method Std. Err. | z | P > (t) | 95% CI | |
|---|---|---|---|---|---|---|
| Pretest control | 3.10 | 0.028 | 108 | 0.000 | 2.97 | 3.08 |
| Pretest shade | 3.12 | 0.031 | 100 | 0.000 | 3.06 | 3.18 |
| Posttest control | 3.02 | 0.021 | 146 | 0.000 | 2.98 | 3.06 |
| Posttest shade | 1.17 | 0.174 | 6.7 | 0.000 | 0.82 | 1.51 |
Mean PRA center SEDs (SEDC30) by test-period and treatment group (post#shade variable) N = 1144.
Parameters estimated for the linear regression model of SED during 30 min at the center of PRAs (SEDC30) by test-period and intervention group.
| Independent Variables | Coef. | Robust | t | P > (t) | Lower 95% CI | Upper |
|---|---|---|---|---|---|---|
| Strata—city and wave | ||||||
| Melbourne-Wave 1 | Ref | |||||
| Melbourne-Wave 2 | −0.005 | 0.125 | −0.04 | 0.967 | −0.25 | 0.24 |
| Melbourne-Wave 3 | 0.224 | 0.164 | 1.37 | 0.172 | −0.10 | 0.54 |
| Denver-Wave 1 | 0.337 | 0.119 | 2.83 | 0.005 | −0.10 | 0.57 |
| Denver-Wave 2 | 0.034 | 0.118 | 0.29 | 0.772 | −0.20 | 0.27 |
| Denver-Wave 3 | −0.035 | 0.131 | −0.27 | 0.790 | −0.29 | 0.22 |
| Treatment group | ||||||
| Shade | −0.001 | .511 | −0.00 | 0.999 | −1.00 | 1.00 |
| Test-period | ||||||
| Posttest | 0.707 | 0.404 | 1.75 | 0.081 | −0.09 | 1.50 |
| Treatment group and test-period | ||||||
| Shade-Posttest | −4.293 | 0.714 | −6.02 | 0.000 | −5.69 | −2.89 |
| Cosine solar elevation angle (SEA) | ||||||
| (continuous-degrees) | −1.825 | 2.790 | −0.65 | 0.513 | −7.30 | 3.65 |
| Treatment group with cosine SEA | ||||||
| Shade | 0.287 | 1.068 | 0.27 | 0.788 | −1.81 | 2.38 |
| Treatment group and test-period with cosine SEA | ||||||
| Control_Posttest | −1.677 | .781 | −2.15 | 0.032 | −3.21 | −0.15 |
| Shade_Posttest | 2.750 | 1.253 | 2.20 | 0.028 | 0.29 | 5.21 |
| Cloud conditions | ||||||
| Cloud present | −3.736 | 0.949 | −3.94 | 0.000 | −5.60 | −1.87 |
| Cloud conditions with cosine SEA | ||||||
| Cloud cover present | 9.951 | 3.912 | 2.54 | 0.011 | 2.27 | 17.63 |
| Cloud conditions with cosine SEA2 | ||||||
| Clear skies | −4.088 | 2.844 | −1.44 | 0.151 | −9.67 | 1.49 |
| Cloud cover present | −11.376 | 2.812 | −4.05 | 0.000 | −16.89 | −5.86 |
| Constant | ||||||
| 5.356 | 0.671 | 7.99 | 0.000 | 4.04 | 6.67 |
Adjusts for city by wave, cosine solar elevation, cloud cover and interaction terms for cosine solar elevation angle as independent variables. N = 1144 observations of center SEDs; F = 96.78; Prob > F = 0.000; R-squared = 0.3920; Root MSE = 1.2006.
Parameters estimated for the linear regression model of SED during 30 min at the boundary of PRAs (SEDB30-approximating ambient SED) by test-period and intervention group.
| Independent Variables | Coef. | Robust Std. Err. | t | P > (t) | Lower 95% CI | Upper |
|---|---|---|---|---|---|---|
| Strata—city and wave | ||||||
| Melbourne-Wave 1 | Ref | |||||
| Melbourne-Wave 2 | −0.000 | 0.129 | −0.00 | 0.998 | −0.25 | 0.25 |
| Melbourne-Wave 3 | 0.106 | 0.162 | 0.66 | 0.511 | −0.21 | 0.42 |
| Denver-Wave 1 | 0.476 | 0.115 | 4.12 | 0.000 | 0.25 | 0.70 |
| Denver-Wave 2 | 0.117 | 0.124 | 0.94 | 0.345 | −0.13 | 0.36 |
| Denver-Wave 3 | 0.138 | 0.139 | 0.99 | 0.320 | −0.13 | 0.41 |
| Treatment group | ||||||
| Shade | 0.001 | 0.514 | 0.00 | 0.998 | −1.01 | 1.01 |
| Test-period | ||||||
| Posttest | 0.656 | 0.412 | 1.59 | 0.111 | −0.15 | 1.46 |
| Treatment group and test-period | ||||||
| Shade-Posttest | −0.780 | 0.786 | −0.99 | 0.321 | −2.32 | 0.76 |
| Cosine solar elevation angle (SEA) | ||||||
| (continuous-degrees) | −3.246 | 3.017 | −1.08 | 0.282 | −9.17 | 2.67 |
| Treatment group with cosine SEA | ||||||
| Shade | 0.128 | 1.083 | 0.12 | 0.906 | −2.00 | 2.25 |
| Treatment group and test-period with cosine SEA | ||||||
| Control_Posttest | −1.572 | 0.791 | −1.99 | 0.047 | −3.12 | −0.02 |
| Shade_Posttest | −0.682 | 1.423 | −0.48 | 0.632 | −3.47 | 2.11 |
| Cloud (dummy variable) | ||||||
| Cloud cover present | −3.587 | 1.003 | −3.58 | 0.000 | −5.55 | −1.62 |
| Cloud with cosine SEA | ||||||
| Cloud cover present | 9.704 | 4.124 | 2.35 | 0.019 | 1.61 | 17.80 |
| Cloud with cosine SEA2 | ||||||
| Clear skies | −2.430 | 3.116 | −0.78 | 0.436 | −8.54 | 3.68 |
| Cloud cover present | −9.967 | 2.973 | −3.35 | 0.001 | −15.80 | −4.13 |
| Constant | ||||||
| 5.604 | 0.730 | 7.67 | 0.000 | 4.17 | 7.04 |
Adjusts for city by wave, cosine solar elevation, cloud cover and interaction terms for cosine solar elevation angle as fixed effects and park ID the random effect. N = 1144 observations of center SEDs; F = 53.18; Prob > F = 0.000; R-squared = 0.2515; Root MSE = 1.2137.
Margins analysis—Table A2 linear regression model post-estimation predicted values.
| Independent Variable Condition | Margin. | Delta-Method Std. Err. | t | P > (t) | Lower | Upper 95% CI |
|---|---|---|---|---|---|---|
| Melbourne | ||||||
| Control pretest clear sky | 4.74 | 0.171 | 27.7 | 0.000 | 4.41 | 5.08 |
| Control pretest cloud | 3.03 | 0.191 | 15.8 | 0.000 | 2.65 | 3.40 |
| Control posttest clear sky | 5.03 | 0.231 | 21.8 | 0.000 | 4.58 | 5.49 |
| Control posttest cloud sky | 3.32 | 0.239 | 13.9 | 0.000 | 2.85 | 3.79 |
| Shade pretest clear sky | 4.81 | 0.254 | 18.9 | 0.000 | 4.31 | 5.31 |
| Shade pretest cloud sky | 3.10 | 0.258 | 12.0 | 0.000 | 2.59 | 3.60 |
| Shade posttest clear sky | 1.91 | 0.327 | 5.8 | 0.000 | 1.27 | 2.55 |
| Shade posttest cloud sky | 0.19 | 0.295 | 0.7 | 0.514 | −0.39 | 0.77 |
| Denver | ||||||
| Control pretest clear sky | 4.61 | 0.137 | 33.7 | 0.000 | 4.35 | 4.88 |
| Control pretest cloud | 3.09 | 0.153 | 20.3 | 0.000 | 2.79 | 3.39 |
| Control posttest clear sky | 4.85 | 0.188 | 25.9 | 0.000 | 4.48 | 5.22 |
| Control posttest cloud sky | 3.33 | 0.197 | 16.9 | 0.000 | 2.94 | 3.72 |
| Shade pretest clear sky | 4.70 | 0.215 | 21.8 | 0.000 | 4.27 | 5.12 |
| Shade pretest cloud sky | 3.17 | 0.216 | 14.7 | 0.000 | 2.75 | 3.60 |
| Shade posttest clear sky | 1.88 | 0.281 | 6.7 | 0.000 | 1.33 | 2.43 |
| Shade posttest cloud sky | 0.36 | 0.253 | 1.4 | 0.159 | −0.14 | 0.85 |
Mean PRA center SEDs (SEDC30) by city, test-period, treatment group and cloud observation (post#shade#cloudcat variable) at the cosine solar elevation angle for Denver (0.2799966) and Melbourne (0.2481827) using Model VCE: Robust (with city solar elevation angles during summer solstice and solar noon).
Figure 3SED predicted: (a) at Denver PRAs by solar elevation during observations with clear skies; (b) at Melbourne PRAs by solar elevation during observations with clear skies.
Figure 4SED predicted: (a) at shaded PRAs in Denver during posttest by solar elevation and cloud; (b) at shaded PRAs in Melbourne during posttest by solar elevation and cloud.
UV exposure (SED/sun protection factor (SPF)) during 30 min under shaded PRAs, posttest by shade design, city and cloud cover.
| PRA Shade Design Type |
|
|
| |||||
|---|---|---|---|---|---|---|---|---|
| Clear Sky | Cloud | Clear Sky | Cloud | |||||
| No. Obs. | PRA Center | PRA Center | PRA Center | PRA Center | PRA Center | PRA | PRA Center | |
| SED Mean (SD) | SED Mean (SD) | SED Mean (SD) | SED Mean (SD) | SED Mean (SD) | SED | SPF | ||
| Overall shaded PRAs | 142 | 0.9 (1.1) | 0.5 (0.5) | 1.4 (1.7) | 1.1 (1.3) | 0.9 (1.2) | 2.6 (1.5) | 7.4 (14.4) |
| Shade design | ||||||||
| Cantilever | 15 | 1.2 (0.8) | 0.5 (0.1) | -- | -- | 1.0 (0.8) | 2.8 (0.9) | 4.2 (2.0) |
| Shade sail | 92 | 0.7 (0.9) | 0.8 (0.9) | 1.4 (1.7) | 1.1 (1.3) | 1.1 (1.3) | 2.4 (1.6) | 4.7 (6.6) |
| Shade cloth color | ||||||||
| Dark | 122 | 0.9 (1.1) | 0.5 (0.5) | 1.2 (1.7) | 1.0 (1.2) | 0.9 (1.1) | 2.7 (1.4) | 8.2 (15.4) |
| Light | 20 | -- | -- | 2.2 (1.7) | 1.2 (1.4) | 1.4 (1.5) | 2.2 (1.7) | 2.7 (2.8) |
| Shade cloth size, m2 | ||||||||
| 20–35 | 42 | 1.1 (1.1) | 0.5 (0.6) | -- | -- | 0.7 (0.9) | 3.1 (1.1) | 9.4 (6.9) |
| 35–80 | 24 | 0.6 (0.8) | 0.4 (0.4) | -- | -- | 0.5 (0.6) | 3.2 (1.1) | 17.2 (32.1) |
| ≥81 | 76 | 1.6 (2.3) | 1.5 b | 1.4 (1.7) | 1.1 (1.3) | 1.2 (1.4) | 2.1 (1.6) | 3.3 (3.1) |
| Shade cloth entry height, m | ||||||||
| <3.0 | 20 | 0.9 (1.4) | 0.5 (0.7) | -- | -- | 0.6 (0.8) | 3.2 (1.0) | 16.7 (33.3) |
| ≥3.0 | 122 | 0.9 (1.1) | 0.4 (0.4) | 1.4 (1.7) | 1.1 (1.3) | 1.0 (1.2) | 2.5 (1.5) | 5.8 (7.0) |
The UV measurements after shade construction at 36 PRAs, comprised 144 center and 144 boundary SEDs measurements, including n = 2 with missing cloud observations; Standard Erythemal Dose (SED) = ((measured UVI units at PRA × 0.025 W/m2) × number of seconds exposure i.e., 30 × 60)/100 J/m2 per SED); Sun Protection Factor = Boundary PRA SED/Center PRA SED; a n = 1 custom wrap shade design was analyzed as a hip and ridge structure; b n = 1 observation; -- no relevant observation for this table cell.
Model 1 SEDC30 main effects (type III tests of fixed effects).
| Fixed Effects Variables | No. DF | Den. DF. | F Value | P > F |
|---|---|---|---|---|
| Shade design type (final_design) | 2 | 33.2 | 0.65 | 0.53 |
| Shade size (sqrt cloth area (m)-continuous) | 1 | 33.7 | 2.43 | 0.13 |
| Minimum pole height (minht-continuous) | 1 | 32.7 | 0.00 | 0.98 |
| Cosine solar elevation angle during PRA observation | 1 | 131 | 0.75 | 0.39 |
| Cloud cover during PRA observation | 3 | 130 | 3.56 | 0.02 |
Interpretation: None of the predictors (final_design, sqrtarea, and minht) are statistically significantly associated with the outcome (SEDC30), after controlling for cloud and cosine solar elevation (coselev).
Model 1 SEDC30 fixed effects estimates.
| Fixed Effects Variables | Coef. | Std. Err. | Df | t | P > (t) | Lower 95% CI | Upper 95% CI |
|---|---|---|---|---|---|---|---|
| Shade design type (final_design) | |||||||
| 1-Cantilever | 1.275 | 0.457 | 35.2 | 2.79 | 0.008 | 0.348 | 2.202 |
| 2-Hip (Referent) | 0.704 | 0.309 | 33.5 | 2.28 | 0.029 | 0.075 | 1.332 |
| 3-Shade Sail | 0.860 | 0.179 | 29.4 | 4.80 | <0.001 | 0.494 | 1.226 |
| Shade size (sqrt shade cloth area (m)-continuous) | 0.151 | 0.097 | 33.7 | 1.56 | 0.128 | NR | NR |
| Minimum pole height (minht-continuous) | 0.011 | 0.542 | 32.7 | 0.02 | 0.984 | NR | NR |
| Cosine solar elevation during PRA observation | |||||||
| (continuous-degrees) | −0.743 | 0.857 | 131 | −0.87 | 0.387 | NR | NR |
| Cloud cover during PRA observation | |||||||
| 1-Clear sky (Referent) | 1.290 | 0.218 | 51.3 | 5.92 | <0.001 | 0.852 | 1.728 |
| 2-Thin high cloud | 1.243 | 0.265 | 84.9 | 4.69 | <0.001 | 0.716 | 1.770 |
| 3-Partly cloudy | 0.762 | 0.247 | 69.1 | 3.08 | 0.003 | 0.269 | 1.254 |
| 4-Overcast | 0.490 | 0.302 | 101 | 1.62 | 0.108 | −0.109 | 1.089 |
| Intercept | |||||||
| 0.187 | 1.393 | 44 | 0.13 | 0.894 | NR | NR |
N = 144 SEDC30 observations, N = 142 SEDC30 observations used in the model, Model Likelihood Ratio Test Chi-Square = 5.51, p = 0.019; AIC = 434.1.
Model 1 SEDC30 random effects for sampling unit PRA—covariance parameter estimates.
| Variance for Parkidu | Estimate | Std. Err. | Z Value | Pr > Z |
|---|---|---|---|---|
| Identity matrix (constant) | 0.252 | 0.141 | 1.79 | 0.037 |
| Residual | 1.034 | 0.145 | 7.12 | <0.001 |
Interpretation: 0.252 is the variance between parks, and 1.034 is the variance between SED measurements within the same park.
Model 2 SEDC30 main effects (type III tests of fixed effects).
| Fixed Effects Variables | No. DF | Den. DF. | F Value | P > F |
|---|---|---|---|---|
| Shade design type (final_design) | 2 | 23.2 | 0.36 | 0.70 |
| Shade size (sqrt cloth area (m)-continuous) | 1 | 26.2 | 1.19 | 0.29 |
| Minimum pole height (minht-continuous) | 1 | 23.4 | 0.02 | 0.89 |
| Cosine solar elevation during PRA observation | 1 | 95.4 | 0.17 | 0.69 |
| Cloud cover during PRA observation | 2 | 106 | 2.27 | 0.11 |
Interpretation: None of the predictors (final_design, sqrtarea, and minht) are significantly associated with the outcome (SEDC30), after controlling for cloud and cosine solar elevation (coselev).
Model 2 SEDC30 fixed effects estimates.
| Fixed Effects Variables | Coef. | Std. Err. | df | t | P > (t) | Lower 95% CI | Upper |
|---|---|---|---|---|---|---|---|
| Shade design type (final_design) | |||||||
| 1-Cantilever | 1.281 | 0.519 | 25.2 | 2.47 | 0.021 | 0.213 | 2.349 |
| 2-Hip (Referent) | 0.789 | 0.340 | 22.5 | 2.32 | 0.030 | 0.085 | 1.493 |
| 3-Shade Sail | 0.974 | 0.233 | 21.7 | 4.17 | <0.001 | 0.490 | 1.458 |
| Shade size (sqrt shade cloth area (m)-continuous) | 0.127 | 0.117 | 26.2 | 1.09 | 0.286 | NR | NR |
| Minimum pole height (minht-continuous) | 0.089 | 0.638 | 23.4 | 0.14 | 0.890 | NR | NR |
| Cosine solar elevation angle during PRA observation | |||||||
| (continuous-degrees) | −0.387 | 0.952 | 95.4 | −0.41 | 0.686 | NR | NR |
| Cloud cover during PRA observation | |||||||
| 1-Clear sky (Referent) | 1.229 | 0.235 | 37.6 | 5.24 | <0.001 | 0.754 | 1.704 |
| 2-Thin high cloud | 1.111 | 0.279 | 63.3 | 3.98 | <0.001 | 0.553 | 1.669 |
| 3-Partly cloudy | 0.704 | 0.260 | 51.2 | 2.71 | 0.009 | 0.182 | 1.226 |
| Intercept | |||||||
| −0.045 | 1.619 | 32 | −0.03 | 0.978 | NR | NR |
N = 122 SEDC30 observations, N = 120 SEDC30 observations used in the model, n = 22 observations with overcast conditions excluded, Model Likelihood Ratio Test Chi-Square = 5.98, p = 0.015; AIC = 375.3.
Model 2 random effects for sampling unit PRA—covariance parameter estimates.
| Variance for Parkidu | Estimate | Std. Err. | Z Value | Pr > Z |
|---|---|---|---|---|
| Identity matrix (constant) | 0.441 | 0.235 | 1.88 | 0.030 |
| Residual | 1.025 | 0.168 | 6.09 | <0.001 |
Interpretation: 0.441 is the variance between parks, and 1.025 is the variance between SED measurements within the same park.
Model 3 SEDC30 main effects (type III tests of fixed effects).
| Fixed Effects Variables | No. DF | Den. DF. | F Value | P > F |
|---|---|---|---|---|
| Shade design type (final_design) | 2 | 23.0 | 0.60 | 0.56 |
| Shade size (sqrt cloth area (m)-continuous) | 1 | 24.2 | 1.79 | 0.19 |
| Maximum pole height (maxht-continuous) | 1 | 21.4 | 0.18 | 0.67 |
| Cosine solar elevation during PRA observation | 1 | 103 | 0.21 | 0.65 |
| Cloud cover during PRA observation | 2 | 106 | 2.24 | 0.11 |
Interpretation: None of the predictors (final_design, sqrtarea, and maxht) are significantly associated with the outcome (SEDC30), after controlling for cloud and cosine solar elevation (coselev).
Model 3 SEDC30 fixed effects estimates.
| Fixed Effects Variables | Coef. | Std. Err. | df | t | P > (t) | Lower 95% CI | Upper 95% CI |
|---|---|---|---|---|---|---|---|
| Shade design type (final_design) | |||||||
| 1-Cantilever | 1.306 | 0.518 | 25 | 2.52 | 0.018 | 0.239 | 2.374 |
| 2-Hip (Referent) | 0.712 | 0.329 | 21.5 | 2.17 | 0.042 | 0.030 | 1.395 |
| 3-Shade Sail | 1.004 | 0.229 | 22.7 | 4.38 | <0.001 | 0.530 | 1.479 |
| Shade size (sqrt shade cloth area (m)-continuous) | 0.179 | 0.134 | 24.2 | 1.34 | 0.193 | NR | NR |
| Maximum pole height (maxht-continuous) | −0.091 | 0.212 | 21.4 | −0.43 | 0.672 | NR | NR |
| Cosine solar elevation during PRA observation | |||||||
| (continuous-degrees) | −0.424 | 0.929 | 103 | −0.46 | 0.649 | NR | NR |
| Cloud cover during PRA observation | |||||||
| 1-Clear sky (Referent) | 1.225 | 0.234 | 36.5 | 5.23 | <0.001 | 0.751 | 1.700 |
| 2-Thin high cloud | 1.095 | 0.278 | 62.2 | 3.94 | <0.001 | 0.540 | 1.650 |
| 3-Partly cloudy | 0.702 | 0.258 | 51.5 | 2.72 | 0.009 | 0.184 | 1.221 |
| Intercept | |||||||
| 0.175 | 0.767 | 39 | 0.23 | 0.821 | NR | NR |
N = 122 SEDC30 observations, N = 120 SEDC30 observations used in the model, n = 22 observations with overcast conditions excluded, Model Likelihood Ratio Test Chi-Square = 5.87, p = 0.015; AIC = 377.4. Comparison of the AICs indicates Model 2, with minimum height, had a slightly better fit of the data.
Model 3 SEDC30 Random Effects for Sampling Unit PRA—Covariance Parameter Estimates.
| Variance for Parkidu | Estimate | Std. Err. | Z Value | Pr > Z |
|---|---|---|---|---|
| Identity matrix (constant) | 0.437 | 0.234 | 1.87 | 0.031 |
| Residual | 1.025 | 0.168 | 6.09 | <0.001 |
Interpretation: 0.437 is the variance between parks, and 1.025 is the variance between SED measurements within the same park.