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Using R to Evaluate the
Affects of Street Stress on
Park Use Elizabeth Crawley Rental Manager
CompassTools, Inc.
The Plan
Reasons for this study
Background
Data
Methods
R
Results
Urban Green Space: Any undeveloped land in urban areas that is partially
covered by vegetation, such as parks, cemeteries,
forests, river corridors, playing fields, etc.
Benefits of Urban Green Spaces
Environmental Services Removal of pollution
Oxygen generation
Noise reduction
Mitigation of urban heat island effects
Regulation of microclimates
Soil stabilization
Recharging ground water
Carbon sequestration
Erosion control
Biodiversity conservation
And more…
Health Affects
Exercise
Weight control
Reduces stress levels
Reduces blood pressure
Reduces BMI z-scores
Reduces risks of certain diseases
Improves mental health
Improves recovery rates
Standards and recommendations
The World Health Organization: 9 m2 per person
European Environment Agency: people live within 900 m
English Nature: people live within 300 m of 2 ha
Hypotheses
Higher road stress surrounding parks will result in
less use.
Denver, CO
Pop = 610,000
Population density = 4,000 people per m2
Administrative area = 154.9 mi2
GDP per person = 49,200 US$
Average Temperature = 50oF
Chen, et al, 2010
Over 4000 acres of parks, trails,
gardens and other green spaces
4% of the total area is green
space
Includes private parks, golf
courses, cemeteries, etc.
Data Sources
US census: http://www.census.gov/geo/maps-data/data/tiger.html
Denver Regional Council of Governments (DRCOG): http://www.drcog.org/index.cfm?page=regionaldataandmaps
Denver Open Data Catalog: http://data.denvergov.org/dataset/city-and-county-of-denver-hud-income-levels-census-tract
Bronson, R. Alternative and adaptive transportation: What household and neighborhood factors support recovery from a drastic increase in gas price? Thesis. University of Denver, 2013.
Methods
Park selection
Randomly selected 11 parks
Data collection
October 2013
Sampled 4 entrances at each park
Sampled entrances 3 times for 20 minutes
Converted Level of Traffic Stress (LTS) shapefile to network
Calculated half-mile and 1 mile service area for park entrances
Calculated LTS averages
Poisson’s Regression
Park Selection
ID Park Acres Trails Field Playground
1 Barnum Park 34.04 Y Y Y
2 City Park 314.4 Y Y Y
3 Eisenhower (Mamie D.) Park 27.7 Y Y Y
4 Grant Frontier Park 16.6 Y Y Y
5 James A. Bible Park 83.6 Y Y Y
6 Montbello Central Park 36.8 Y Y Y
7 Pinehurst Park 13.7 Y Y Y
8 Rocky Mountain Lake Park 54.9 Y Y Y
9 Rosamond Park 35.6 Y Y Y
10 Swansea Park 10.8 Y Y Y
11 Washington Park 157.5 Y Y Y
Bicycle LTS Scoring
≤25 mph =30 mph ≥35 mph
2-3 lanes LTS 2 LTS 3 LTS 4
4-5 lanes LTS 3 LTS 4 LTS 4
6+ lanes LTS 4 LTS 4 LTS 4
LTS 1 LTS 2 LTS 3 LTS 4
Physically separated bike path X
Most local X
Collector urban (17), collector X
LTS 4 street with a bike lane X
Interstate urban (11), freeway urban (12), other primary arterial urban (14), Minor arterial urban (16);
volume classification (arterial); type (ramp) X
Bronson, 2013
Pedestrian LTS Scoring
Bike LTS 1 Bike LTS 2 Bike LTS 3 Bike LTS 4
Sidewalk ≥5ft LTS 1 LTS 1 LTS 1 LTS 3
Sidewalk 4ft n/a LTS 1 LTS 2 LTS 3
Sidewalk 3ft n/a LTS 2 LTS 3 LTS 4
Sidewalk ≤2ft n/a LTS 3 LTS 4 LTS 4
Bronson, 2013
LTS networks
Bike stress levels Pedestrian stress levels
Service Areas
Pearson’s Coefficient Matrix
Acres % LowMod Pop_SQMI Bike_LTS_1 Ped_LTS_1m
Acres 1 -0.1448755 -0.009307279 0.30994987 -0.135930051
% LowMod -0.14488 1 -0.143675778 0.38367136 0.123655126
Pop_SQMI -0.00931 -0.1436758 1 -0.5271868 -0.522569574
Bike_LTS_1m 0.30995 0.3836714 -0.527186832 1 0.592874976
Ped_LTS_1m -0.13593 0.1236551 -0.522569574 0.59287498 1
“ggplot2”: plotting system for R, based on the grammar of graphics, which tries to take the good parts of base and lattice graphics and none of the bad parts. It takes care of many of the fiddly details that make plotting a hassle (like drawing legends) as well as providing a powerful model of graphics that makes it easy to produce complex multi-layered graphics.
“sandwich”: Model-robust standard error estimators for cross-sectional, time series, and longitudinal data
“msm”: Functions for fitting general continuous-time Markov and hidden Markov multi-state models to longitudinal data. A variety of observation schemes are supported, including processes observed at arbitrary times (panel data), continuously-observed processes, and censored states. Both Markov transition rates and the hidden Markov output process can be modelled in terms of covariates, which may be constant or piecewise-constant in time.
Poisson’s Test: Total Park Use
Estimate Std.Error z-score Pr(>|z|)
(Intercept) 3.32E+00 1.44E-01 23.11 <2.00E-16
Pop_SQMI 6.63E-05 1.51E-05 4.394 1.11E-05
% LowMod -8.98E-03 2.13E-03 -4.216 2.49E-05
Acres 3.58E-03 2.41E-04 14.846 <2.00E-16
Poisson’s Test: Pedestrian LTS scores
Total Vehicle Use Total Use
Total Pedestrian Use Total Bicycle Use
Variable Coefficient StdError z-value P-value
Intercept 4.2503658 0.1654938 25.683 <2e-16
Acres 0.0042109 0.0002042 20.619 < 2e-16
LowModAvg -0.0277047 0.0014290 -19.388 <2e-16
Ped_LTS_1m 0.2623475 0.0882020 2.974 0.00294
Variable Coefficient StdError Z value P-value
Intercept 3.1861761 0.2547435 12.507 < 2e-16
Acres 0.0036333 0.0003205 11.337 < 2e-16
LowModAvg -0.0251740 0.002173 -11.582 < 2e-16
Ped_LTS_1m 0.3546953 0.1341913 2.643 0.00821
Variable Coefficient StdError Z value P-value
Intercept 3.9318751 0.2605735 15.089 <2e-16
Acres 0.0038760 0.0003421 11.331 <2e-16
LowModAv -0.0281268 0.0023434 -12.002 <2e-16
Ped_LTS_1m -0.0896872 0.1393243 -0.644 0.52
Variable Coefficient StdError Z value P-value
Intercept 1.7235420 0.3994641 4.315 1.6e-05
Acres 0.0060014 0.0004335 13.844 < 2e-16
LowModAvg -0.0335790 0.0032862 -10.218 <2e-16
Ped_LTS_1m 0.8036480 0.2157909 3.724 0.000196
Poisson’s Test: Bicycle LTS scores
Total Vehicle Use Total Use
Total Pedestrian Use Total Bicycle Use
Variable Coefficient StdError z-value P-value
Intercept 2.2812952 0.2341904 9.741 <2e-16
Acres 0.0026295 0.0002434 10.803 <2e-16
LowModAvg -0.0324837 0.0014891 -21.815 <2e-16
Bike_LTS_1m 1.0513087 0.0975706 10.775 <2e-16
Variable Coefficient StdError Z value P-value
Intercept 2.4756370 0.3586037 6.904 5.07e-12
Acres 0.0026813 0.0003836 6.991 2.74e-12
LowModAvg -0.0274803 0.0022799 -12.053 < 2e-16
Bike_LTS_1m 0.5788709 0.1503070 3.851 0.000118
Variable Coefficient StdError Z value P-value
Intercept 3.0494100 0.3956062 7.708 1.28e-14
Acres 0.003431 0.0004171 8.227 < 2e-16
LowModAv -0.0297508 0.0024441 -12.173 < 2e-16
Bike_LTS_3m 0.3179075 0.1656562 1.919 0.055
Variable Coefficient StdError Z value P-value
Intercept -5.0540748 0.5641783 -8.958 < 2e-16
Acres 0.0013987 0.0004813 2.906 0.00366
LowModAvg -0.0523074 0.0035455 -14.753 <2e-16
Bike_LTS_1m 3.4756722 0.230154 15.101 < 2e-16
Summary of Results
755 pedestrians (37%)
419 cyclist (21%)
844 vehicles (42%)
Larger parks results in more users
Parks in neighborhoods with higher percentages of low- to moderate-
income houses lower number of users
Parks in high population density areas have more users
Summary of Results: LTS
Higher percent of low- to moderate-income houses resulted in lower park
use regardless of transportation method.
Pedestrian LTS averages were only significant for pedestrian park use and
negatively correlated.
Bicycle LTS averages were significant and positive for all transportation
methods.
Resources
http://www.statmethods.net/stats/correlations.html
http://cran.r-project.org/doc/manuals/R-intro.html
http://www.rstudio.com/
https://support.rstudio.com/hc/en-us/articles/200552336-Getting-Help-with-R
References
Bronson, R. Alternative and adaptive transportation: What household and neighborhood factors support recovery from a drastic increase in gas price? Thesis. University of Denver, 2013.
Chen, D; G. Doherty, A. Georgoulias, M.A. Hughes, R. Kassel, T. Wright, and R. Zimmerman. US and Canada Green City Index. Munich, Germany. Siemens AG Economist Intelligence Unit.2011.
Giles-Corti, B.; M.H. Broomhall; M. Knuiman; C. Collins; K. Douglas; K. Ng; A. Lange; and R.J. Donovan. “Increasing Walking: How Important is Distance To, Attractiveness; and Size of Public Open Space?” Am. Journal of Preventive Medicine. 28(2S2) 2005: 169-176.
Heynen, N.; H.A. Perkins; P. Roy. “The Political Ecology of Uneven Green Space: The impact of political economy on race and ethnicity in producing environmental inequality in Milwaukee.” Urban Affairs Review. 42 (1) 2006: 3-25.
Mennis J. “Socioeconomic-Vegetation Relationships in Urban, Residential Land: The Case of Denver, Colorado.” Photogrammetric Engineering & Remote Sensing. 72(8) 2006: 911-921.
Sotoudehnia, F and A Comber. “Measuring Perceived Accessibility to Urban Green Spaces: An Integration of GIS and Participatory Map.” AGILE, 2011.