Combining Spatial Statistics and Simulation Models

0 downloads 0 Views 5MB Size Report
Spatial and planning methods in a digital world make it easier to deal with the UHI ... Previous research has involved large scale geographical units (city instead.
Urban Heat Island Reduction through Urban Design and Planning Decisions: Combining Spatial Statistics and Simulation Models Jean-Michel Guldmann Department of City and Regional Planning The Ohio State University Columbus, Ohio

Bumseok Chun Center for Geographical Information Systems Georgia Institute of Technology Atlanta, Georgia

Beijing Forum 2013 November 1-3, 2013

Urbanization – Sustainable Planning and Diversity

Overview of Presentation • • • • • • •

Research Motivation Urban Heat Island Basics Research Methodology Spatial Statistical Modeling Statistical Results Simulation of Greening Actions Conclusions and Future Research

Research Motivation • • • • • • •

Environmental/urban sustainability and local/global warming The Urban Heat Island (UHI) is a critical factor for energy consumption, air quality, and public health, Higher peak energy demand in summer because of air conditioning, and secondary air pollutants, such as ozone Spatial and planning methods in a digital world make it easier to deal with the UHI This research develops statistical models of local surface temperatures for central cities with high-density buildings and complicated morphologies. The models are estimated with data for the core of the metropolitan area of Columbus, Ohio, U.S.A. The models are then used to spatially simulate the temperature decreases resulting from installing green roofs, greening parking and vacant lots, and increasing the density of existing vegetated areas.

Urban Heat Island Basics SURFACE TEMPERATURE PROFILE AND THE UHI

Urban Heat Island Basics • •

• •

• • •

Converting soil and vegetation into impervious surfaces is a major cause of the UHI. Construction materials and impervious surfaces (concrete, asphalt, roads, parking lots) absorb thermal energy during daytime and release during nighttime, leading to higher temperature in urban areas than in surrounding rural areas. Vegetation areas have lower temperatures because they re-emit less thermal energy to the environment due to energy consumption through evapotranspiration. Urban canyons affect air circulation, wind flow, and thermal energy absorption. Tall buildings isolate hot air within the canyon. Dense built-up areas cannot easily release heat energy into the atmosphere, due to lack of open space resulting from building obstructions. Solar energy is absorbed into the walls of buildings, increasing the temperature of the air surrounding the walls. More than 1.5 billion people lived in urban areas worldwide in 2007. The United Nations forecast that 60% of the world population will live in urban regions by 2030.

Urban Heat Island Basics Physical Urban Structure and the UHI

Less Open Space (Isolated roughness flow)

High-rise building Solar radiation Vegetation: Trees

More Open Space (Skimming flow) Low-rise building

Vegetation: Grass

Water

Urban Heat Island Basics Background Literature



Surface Characteristics  Landsberg and Maisel (1972): Impervious materials are obstacles to the emission of thermal energy. There is a 1~2 ℃ difference between rural and urban areas.  Oke (1989): Impervious areas have temperatures 2℃ higher than those in vegetated districts.  Owen et al. (1998): Converting soil and vegetation into impervious surfaces is a major cause of the UHI.  Recently, remotely-sensed images have been used (Amiri et al., 2009; Chen et al., 2006; Jenerette et al., 2007; Kato and Yamaguchi, 2007; Katpatal et al., 2008; Sun and Kafatos, 2007 ) These studies show that vegetated areas tend to decrease surface temperatures.

Urban Heat Island Basics Background Literature •

Urban Geometry  Complex urban environments characterized by “street canyons” and “building structures”  SVF=Sky View Factor: Measures the portion of visible sky (Teller, 2003; Unger et al., 2004; Grimmond, 2007; Gál et al., 2009; Unger, 2009) Unger et al. (2007): Temperature difference between the maximum SVF (=1) and minimum SVF (=0.66) is around 4.4°C. The higher SVF, the lower the temperature

Urban Heat Island Basics Background Literature •

Research Shortcomings  Little research on the UHI has taken place in the 3-D space because of technical problems.  Past research has analyzed the UHI with small sets of variables.  Much previous research has conducted statistical analyses with Ordinary Least Squares (OLS) models, excluding spatial effects.  Previous research has involved large scale geographical units (city instead of neighborhood or site).

Research Methodology Overview 1. Developing a digital 3-D city model with LiDAR and GIS footprint data 2. Estimating 3-D geometric parameters for building layouts 3. Estimating land-use and NDVI parameters 4. Estimating urban temperature, using satellite images 5. Generating grid structures: 480m, 240m, 120m 6. Superimposing temperature, land uses, NDVI, and 3-D parameters into the grid structures 7. Application to the center of the city of Columbus, Ohio 8. Conducting spatial regression analyses

Research Methodology

Study Area: Center of the City of Columbus, Ohio

Research Methodology Surface Temperatures Computation 𝐓 = 𝑲𝟐 𝐥𝐧

𝑲𝟏 𝑳𝝀

+𝟏 ,

(1)

𝑳𝝀 = 𝑮𝒓𝒆𝒔𝒄𝒂𝒍𝒆 × 𝐃𝐍 + 𝑩𝒓𝒆𝒔𝒄𝒂𝒍𝒆 ,

(2)

𝛌∙𝑻 ⋅ 𝐥𝐧(𝛆) 𝝆

(3)

𝛆 = 𝟎. 𝟎𝟎𝟒𝑷𝑽 + 𝟎. 𝟗𝟖𝟔,

(4)

𝑻𝜺 = 𝑻

𝟏+

𝐍𝐃𝐕𝐈 − 𝑵𝑫𝑽𝑰𝒎𝒊𝒏 𝑷𝑽 = 𝑵𝑫𝑽𝑰𝒎𝒂𝒙 − 𝑵𝑫𝑽𝑰𝒎𝒊𝒏

𝟐

,

(5)

Research Methodology

Average Surface Temperatures (AST)

Research Methodology Digital surface model (DSM): 3-D city model o Vertical information by LiDAR (Light Detection and Ranging): Remote sensing method using light in the form of a pulsed laser to measure distances to the Earth surface o Horizontal information by GIS building footprint data o Cookie-cut the LiDAR data by building footprints

Three-Dimensional (3-D) City Model

Research Methodology Building A

Building B

aA

aB Cell

aC Building C

Building Footprints in a Cell

Superimposing LiDAR Data onto Building Footprints

Research Methodology

Building Ground Floor / Roof-top Area (BGFA)

Research Methodology Land Use

Research Methodology

NDVI Values

Research Methodology

ARSVF

AGSVF

Geometry of the Sky View Factor: Ground Level (AGSVF) and Roof-Top Level (ARSVF)

Research Methodology

Sky View

Research Methodology Sky View Factor Computation

• 𝑨𝑮𝑺𝑽𝑭 𝒐𝒓 𝑨𝑹𝑺𝑽𝑭 =

𝒏 𝑺𝑽𝑭𝒊 𝒊=𝟏 𝒏

• 𝑻𝑺𝑽𝑭 = 𝒏𝒈 × 𝑨𝑮𝑺𝑽𝑭 + 𝒏𝒓 × 𝑨𝑹𝑺𝑽𝑭 o Total number of SVF observations=9,152 o Ground-level=7,682 o Rooftop-level=1,470

Research Methodology

Total Sky View Factor (TSVF) Values

Research Methodology Modeling Solar Radiation Area Solar Radiation (Spatial Analysis on ArcGIS 10): Derives incoming solar radiation on a raster surface o Primary requirements for insulation calculation with ArcGIS 10  Digital surface model (DSM): raster 3-D city model  Sky size/Resolution for the viewshed, sky map, and sun map grids  Latitude for the site area: solar declination and its position  Time configuration: function of the time period determined by Julian days and time duration

Research Methodology Modeling solar radiation – Step. 1: Viewshed calculation

– Step. 2: Sunmap calculation

Research Methodology Modeling solar radiation – Step. 3: Skymap calculation

– Step. 4: Overlay of viewshed with sunmap and skymap

Research Methodology

Solar Radiations

Research Methodology View of Buildings in the 3-D Space

Research Methodology 120m×120m cell and 480m×480m cell on 2-D space

Research Methodology 30m×30m cell and 480m×480m cell on 2-D space

Research Methodology Data overlay

Research Methodology Hierarchical Grid Scales: 480m, 240m, and 120m Smaller grids reflect “detailed urban characteristics” with more variations. Smaller grids provide “larger sample sizes”.

Larger grids can better reflect “neighborhood effects”. Larger grids may involve a ”loss of urban information”.

Spatial Statistical Modeling SPATIAL NEIGHBORHOOD MATRIX W

1

5

9

13

2

6

10

14

3

7

11

15

4

8

12

16

Sample grid

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0

2 1 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0

3 0 1 0 1 0 1 1 1 0 0 0 0 0 0 0 0

4 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0

5 1 1 0 0 0 1 0 0 1 1 0 0 0 0 0 0

6 1 1 1 0 1 0 1 0 1 1 1 0 0 0 0 0

7 0 1 1 1 0 1 0 1 0 1 1 1 0 0 0 0

8 0 0 1 1 0 0 1 0 0 0 1 1 0 0 0 0

9 10 11 12 13 14 15 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 1 0 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 1 1 1 0 1 0 1 0 0 1 1 0 0 1 0

First-order queen’s contiguity relations

Spatial Statistical Modeling

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

1 2 3 4 5 6 0 0.333 0 0 0.333 0.333 0.2 0 0.2 0 0.2 0.2 0 0.2 0 0.2 0 0.2 0 0 0.333 0 0 0 0.2 0.2 0 0 0 0.2 0.125 0.125 0.125 0 0.125 0 0 0.125 0.125 0.125 0 0.125 0 0 0.2 0.2 0 0 0 0 0 0 0.2 0.2 0 0 0 0 0.125 0.125 0 0 0 0 0 0.125 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

7 8 9 10 11 12 13 14 15 16 0 0 0 0 0 0 0 0 0 0 0.2 0 0 0 0 0 0 0 0 0 0.2 0.2 0 0 0 0 0 0 0 0 0.333 0.333 0 0 0 0 0 0 0 0 0 0 0.2 0.2 0 0 0 0 0 0 0.125 0 0.125 0.125 0.125 0 0 0 0 0 0 0.125 0 0.125 0.125 0.125 0 0 0 0 0.2 0 0 0 0.2 0.2 0 0 0 0 0 0 0 0.2 0 0 0.2 0.2 0 0 0.125 0 0.125 0 0.125 0 0.125 0.125 0.125 0 0.125 0.125 0 0.125 0 0.125 0 0.125 0.125 0.125 0.2 0.2 0 0 0.2 0 0 0 0.2 0.2 0 0 0.333 0.333 0 0 0 0.333 0 0 0 0 0.2 0.2 0.2 0 0.2 0 0 0.2 0 0 0 0.2 0.2 0.2 0 0.2 0 0.2 0 0 0 0 0.333 0.333 0 0 0.333 0

Standardized weight matrix

Spatial Statistical Modeling SPATIAL NEIGHBORHOOD MATRIX W

• • • •

Number of cells/tracts/regions: N (i = 1 → N) Matrix W: dimensions NxN X : column vector Nx1 of a given variable x W.X : column vector Nx1 represents the average value of x over the neighboring cells for each cell i (1→ N)

Spatial Statistical Modeling Spatial Autoregressive Model (SAR)

Spatial Statistical Modeling Spatial Error Model (SEM)

Statistical Results Grid

Variable

AST

Unit

25.20

34.49

0.06

˚C

7,530

1,120,375

0.60

ft2

ASR

5,426

3,407

5,749

0.06

TSVF

56.5

36.8

63.8

0.09

N/A

TNDVI

49.5

-5.4

138.4

0.51

N/A

80,339

0

1,089,122

2.78

ft2

30.89

22.90

37.71

0.07

˚C

98,193

0

482,010

0.69

ft2

ASR

5,425

2,954

5,752

0.07

TSVF

14.1

8.5

16.0

0.10

N/A

AST BGFA

TNDVI WATER AST BGFA 120m

Maximum

30.89

WATER

240m

Minimum

392,772

BGFA 480m

Mean

Coeffi cient of Variat ion

ASR

Wh/m 2

Wh/m 2

12.4

-8.0

42.1

0.62

N/A

20,085

0

595,826

3.74

ft2

30.89

21.22

39.17

0.08

˚C

24,548

0

143,584

0.90

ft2

5,425

2,221

5,753

0.08

Wh/m 2

TSVF

3.5

1.3

4.0

0.13

N/A

TNDVI

3.1

-3.3

11.7

0.76

N/A

5,021

0

155,000

4.51

ft2

WATER

Descriptive Statistics for All Variables and Grids

Statistical Results OLS Regression Model

• 𝒍𝒏 𝑨𝑺𝑻 = 𝒂𝟎 + 𝒂𝟏 𝑩𝑮𝑭𝑨 + 𝒂𝟐 𝑨𝑺𝑹 + 𝒂𝟑 𝑻𝑺𝑽𝑭 + 𝒂𝟒 𝑻𝑵𝑫𝑽𝑰 + 𝒂𝟓 𝑾𝑨𝑻𝑬𝑹 + 𝜺, • 𝛆~𝐍(𝟎, 𝝈𝟐 𝐈)

Statistical Results GRID Variable

480m Coefficient

240m t-value

Coefficient

120m t-value

Coefficient

t-value

BGFA

7.44E-08***

3.88

3.41E-07***

10.02

8.38E-07***

13.57

ASR

5.14E-05***

4.72

4.65E-05***

7.53

2.5E-05***

7.34

TSVF

-0.00363***

-4.11

-0.011***

-6.67

-0.03273***

-11.38

TNDVI

-0.00105***

-9.63

-0.004***

-17.49

-0.01416***

-29.75

WATER

-1.51E-07***

-14.82

-5.65E-07***

-27.70

-2.08E-06***

-44.69

3.369***

59.16

3.358***

108.76

3.441***

199.05

Constant Sample size

143

572

2,288

R-square

.835

.779

.647

0.240***

0.275***

0.438***

Moran-I

***PIndirect Impact for 480m and 240m; =0.4

0.51

0.09

0.40

0.79

0.44

0.48

0.56

Simulation of Greening Actions Scenario 3: NDVI=0.8 for Roofs, Parking Lots, Vacant Lots NDVI elsewhere increased by 25% when NDVI≥0.4 120m Grid

Temperature Changes

NDVI Pattern (NDVI>0.4)

Simulation of Greening Actions Number of cells in each interval Interval

D06

D08

D125

"-8 - -7"

0

0

4

"-7 - -6"

0

3

4

"-6 - -5"

3

5

1

"-5 - -4"

4

1

15

"-4 - -3"

4

18

15

"-3 - -2.5"

11

8

21

"-2.5 - -2"

11

25

23

"-2 - -1.5"

29

31

31

"-1.5 - -1"

42

41

95

"-1 - -0.75"

27

34

91

"-0.75 - -0.5"

56

53

170

"-0.5 - -0.25"

71

73

581

1241

1238

1237

789

758

0

2288

2288

2288

"-0.25 - 0" "0" Total

Conclusions and Future Research • The results suggest that solar radiation, open space, vegetation, building roof-top areas, and water strongly impact surface temperatures. • A high concentration of high-rise buildings generally reduces open space and sky openness. • A high concentration of high-rise buildings generally obstructs air flows and isolates hot air. • A higher NDVI tends to decrease surface temperatures. • Water is an important urban feature that helps reduce surface temperatures.

Conclusions and Future Research • Spatial regressions are necessary to capture neighboring effects. • These models can be used to effectively mitigate the UHI, through design and land-use policies in central cities. • The simulation of the effects of green roofs, the greening of parking lots, and increased vegetation density, shows that significant decreases in temperature can be achieved. • Future research could test the statistical approach with data from other cities, and at different periods of the year. New variables could be considered to increase the explanatory power of the spatial model.