Urban Morphometrics and the Intangible Uniqueness of Tangible Heritage. An Evidence-Based Generative Design Experiment in Historical Kochi (IN)
Abstract
:1. Introduction
2. Methodology
2.1. Morphometric Taxonomy and Profiling of Urban Types
2.2. From Morphometric Profile to Figure-Grounds
- Selection of the sample site. This is usually a brownfield, or an area designated by local authorities as developable, within specified design constraints to be integrated in this workflow. The iterative testing carried out by the UNICITI designers showed that the method works well at the meso-scale, that is, an area comprising a few blocks (at least 100 buildings), considering smaller areas would mean that intervals with small distribution percentages would not be represented. Having selected the site, this step requires the computation of its area (A) in m2.
- Computation of number of buildings (for the sample site and intervals of the six primary characters). Using the cell area (CA) intervals and distribution in the morphometric profile, the total cell areas per interval (TCA) is calculated by multiplying the median value of each interval (M) by the corresponding distribution percentage. The total number of buildings for the sample site is computed by multiplying the site area (A) by 100 (the total of all intervals) and dividing this value by the sum of TCAs. The number of buildings in each interval, for each primary character, is computed by multiplying the distribution percentages for each interval by N and dividing this value by 100.
- Generation of the building envelopes. To avoid uniformity in figure-grounds, a random set of x values, where x is the number of buildings in each interval computed at the previous step, is generated for each interval for BF and BE. The generated building footprints and elongation values are then randomly matched. Both operations of random number generation can be achieved in Excel via the RAND function, or through ad hoc websites (for example, https://pinetools.com/random-number-generator, accessed on 31 August 2021). The longer dimension (LD) of each building is computed by calculating the square root of the ratio between BF and BE. The shorter dimension (SD) is calculated by dividing BF by LD.
- Design considerations. Several considerations must be made on the UT around the sample site before laying the buildings on the ground: (i) function and spatial distribution of buildings (i.e., clustered or sparse) and their relations with open spaces; (ii) whether buildings tend to abut on the streets with their short or long sides; (iii) whether the street network tends more to a grid or a tree-like structure. Such considerations are purely qualitative and are made from remote via a quick visual inspection of commonly available map repositories.
- Generation of the figure-ground. This is a four step process: (i) in order to maintain and foster the internal connectivity of the sample site as well as that between the sample site and its surroundings, lay down the main street network by continuing the major roads surrounding the site; (ii) start distributing the building envelopes from one side of the site by following the considerations formulated at the previous point; (iii) if necessary, add secondary streets to make each building in the site accessible; (iv) verify whether alignments and distances between buildings correspond to the values of ASB and MDBB.
3. Kochi
4. Dataset, Primary, and Contextual Characters
5. Results
5.1. The Morphometric Taxonomy of Kochi
5.2. Morphometric Profiles of Urban Types in the Historical District of Kochi
5.3. Producing Figure-Grounds in Sample Sites
6. Discussion
7. Conclusions
Author Contributions
Funding
Conflicts of Interest
Appendix A
Primary Character | Element | Formula | Contextual Character | Median |
---|---|---|---|---|
Footprint | Building | ablg | mean | 124.1678 |
range | 93.3752 | |||
Theil index | 0.0868 | |||
Simpson index | 0.4644 | |||
Perimeter | Building | pblg | mean | 46.1862 |
range | 18.5704 | |||
Theil index | 0.0251 | |||
Simpson index | 0.4094 | |||
Courtyard area | Building | ablgc | mean | 0.0000 |
range | 0.0000 | |||
Theil index | 0.0000 | |||
Simpson index | 1.0000 | |||
Cardinal orientation | Building | Oriblg = |OblgB − 45| | mean | 12.2051 |
range | 6.4277 | |||
Theil index | 0.0489 | |||
Simpson index | 0.2978 | |||
Cell alignment | Building | mean | 6.4250 | |
range | 9.7176 | |||
Theil index | 0.2585 | |||
Simpson index | 0.5192 | |||
Circular compactness | Building | mean | 0.5561 | |
range | 0.0996 | |||
Theil index | 0.0049 | |||
Simpson index | 0.2056 | |||
Corners | Building | mean | 4.0000 | |
range | 0.5000 | |||
Theil index | 0.0171 | |||
Simpson index | 0.5946 | |||
Squareness | Building | mean | 3.3104 | |
range | 3.4466 | |||
Theil index | 0.1722 | |||
Simpson index | 0.6333 | |||
Equivalent rectangular index | Building | mean | 0.9959 | |
range | 0.0168 | |||
Theil index | 0.0003 | |||
Simpson index | 0.6307 | |||
Elongation | Building | mean | 0.7162 | |
range | 0.2668 | |||
Theil index | 0.0180 | |||
Simpson index | 0.1834 | |||
Centroid-corner distance deviation | Building | mean | 0.2971 | |
range | 0.6086 | |||
Theil index | 0.4551 | |||
Simpson index | 0.5749 | |||
Centroid-corner mean distance | Building | mean | 7.9237 | |
range | 2.9362 | |||
Theil index | 0.0207 | |||
Simpson index | 0.3981 | |||
Area | Cell | acell | mean | 457.3075 |
range | 403.0552 | |||
Theil index | 0.1043 | |||
Simpson index | 0.7593 | |||
Cardinal orientation | Cell | mean | 15.8594 | |
range | 13.9275 | |||
Theil index | 0.1125 | |||
Simpson index | 0.2255 | |||
Weighted neighbours | Cell | mean | 0.0685 | |
range | 0.0254 | |||
Theil index | 0.0179 | |||
Simpson index | 0.4150 | |||
Coverage ratio | Cell | mean | 0.3127 | |
range | 0.1811 | |||
Theil index | 0.0464 | |||
Simpson index | 0.2180 | |||
Circular compactness | Cell | mean | 0.5232 | |
range | 0.1452 | |||
Theil index | 0.0104 | |||
Simpson index | 0.1742 | |||
Equivalent rectangular index | Cell | mean | 0.9890 | |
range | 0.0660 | |||
Theil index | 0.0006 | |||
Simpson index | 0.4214 | |||
Perimeter wall length | Adjacent buildings | mean | 47.1169 | |
range | 19.6771 | |||
Theil index | 0.0283 | |||
Simpson index | 0.4360 | |||
Shared walls’ ratio | Adjacent buildings | mean | 0.0000 | |
range | 0.0000 | |||
Theil index | 2.0809 | |||
Simpson index | 1.0000 | |||
Number of courtyards | Adjacent buildings | mean | 0.0000 | |
range | 0.0000 | |||
Theil index | 0.0000 | |||
Simpson index | 1.0000 | |||
Alignment | Neighbouring buildings | mean | 4.0671 | |
range | 2.6006 | |||
Theil index | 0.0541 | |||
Simpson index | 0.5052 | |||
Mean distance | Neighbouring buildings | mean | 9.3790 | |
range | 7.0551 | |||
Theil index | 0.0729 | |||
Simpson index | 0.6777 | |||
Mean inter-building distance | Neighbouring buildings | mean | 11.1417 | |
range | 2.5860 | |||
Theil index | 0.0074 | |||
Simpson index | 1.0000 | |||
Building adjacency | Neighbouring buildings | mean | 1.0000 | |
range | 0.0000 | |||
Theil index | 0.0000 | |||
Simpson index | 0.6859 | |||
Area covered | Neighbouring cells | mean | 3917.0594 | |
range | 2540.8757 | |||
Theil index | 0.0556 | |||
Simpson index | 0.7752 |
Appendix B
CA Intervals | % Cells | CR Intervals | % Cells | BF Intervals | % Buildings | BE Intervals | % Buildings | ASB Intervals | % Buildings | MDBB Intervals | % Buildings |
---|---|---|---|---|---|---|---|---|---|---|---|
(24.60, 336.09) | 29.70 | (0.01, 0.06) | 1.26 | (12.02, 78.95) | 20.15 | (0.07, 0.20) | 0.59 | (0.00, 1.43) | 40.59 | (0.82, 3.67) | 4.30 |
(336.09, 650.88) | 36.59 | (0.06, 0.11) | 5.63 | (78.95, 145.13) | 42.00 | (0.20, 0.31) | 1.93 | (1.43, 2.31) | 20.59 | (3.67, 5.95) | 12.81 |
(650.88, 1080.39) | 20.22 | (0.11, 0.16) | 11.63 | (145.13, 234.55) | 24.07 | (0.31, 0.39) | 3.78 | (2.31, 3.12) | 12.07 | (5.95, 8.33) | 17.04 |
(1080.39, 1677.60) | 9.33 | (0.16, 0.20) | 12.30 | (234.55, 371.63) | 8.30 | (0.39, 0.46) | 5.33 | (3.12, 3.95) | 8.15 | (8.33, 10.96) | 17.85 |
(1677.60, 2515.36) | 2.89 | (0.20, 0.25) | 10.89 | (371.63, 585.08) | 3.56 | (0.46, 0.52) | 5.33 | (3.95, 4.83) | 5.70 | (10.96, 13.91) | 17.11 |
(2515.36, 3689.55) | 0.59 | (0.25, 0.29) | 12.37 | (585.08, 910.02) | 0.59 | (0.52, 0.57) | 8.52 | (4.83, 5.78) | 4.74 | (13.91, 17.34) | 10.96 |
(3689.55, 5266.39) | 0.37 | (0.29, 0.33) | 11.70 | (910.02, 1430.61) | 0.81 | (0.57, 0.62) | 6.59 | (5.78, 6.84) | 2.44 | (17.34, 21.52) | 9.56 |
(5266.39, 7385.03) | 0.07 | (0.33, 0.38) | 9.56 | (1430.61, 2212.47) | 0.30 | (0.62, 0.66) | 6.81 | (6.84, 8.06) | 1.93 | (21.52, 26.72) | 6.59 |
(7385.03, 10,282.65) | 0.07 | (0.38, 0.42) | 8.74 | (2212.47, 3423.68) | 0.07 | (0.66, 0.71) | 7.11 | (8.06, 9.53) | 1.41 | (26.72, 33.26) | 2.30 |
(10,282.65, 14,106.60) | 0.00 | (0.42, 0.47) | 5.85 | (3423.68, 5308.78) | 0.07 | (0.71, 0.75) | 8.37 | (9.53, 11.39) | 0.89 | (33.26, 41.53) | 1.04 |
(14,106.60, 19,523.60) | 0.15 | (0.47, 0.51) | 4.00 | (5308.78, 7792.22) | 0.07 | (0.75, 0.80) | 7.63 | (11.39, 13.81) | 0.59 | (41.53, 52.31) | 0.30 |
(19,523.60, 26,922.44) | 0.00 | (0.51, 0.56) | 3.48 | (7792.22, 10,715.89) | 0.00 | (0.80, 0.85) | 7.56 | (13.81, 17.03) | 0.37 | (52.31, 67.13) | 0.07 |
(26,922.4, 35,608.03) | 0.00 | (0.56, 0.63) | 1.56 | (10,715.8, 14,611.60) | 0.00 | (0.85, 0.90) | 9.85 | (17.03, 21.37) | 0.22 | (67.13, 87.98) | 0.07 |
(35,608.0, 48,659.49) | 0.00 | (0.63, 0.71) | 0.89 | (14,611.6, 26,037.39) | 0.00 | (0.90, 0.95) | 10.07 | (21.37, 27.66) | 0.15 | (87.98, 118.10) | 0.00 |
(48,659.4, 67,909.16) | 0.00 | (0.71, 1.34) | 0.15 | (26,037.3, 34,898.16) | 0.00 | (0.95, 1.00) | 10.52 | (27.66, 40.37) | 0.15 | (118.10, 199.79) | 0.00 |
CA Intervals | % Cells | CR Intervals | % Cells | BF Intervals | % Buildings | BE Intervals | % Buildings | ASB Intervals | % Buildings | MDBB Intervals | % Buildings |
---|---|---|---|---|---|---|---|---|---|---|---|
(24.60, 336.09) | 89.54 | (0.02, 0.06) | 0.45 | (12.02, 78.95) | 61.39 | (0.09, 0.20) | 0.76 | (0.27, 1.43) | 8.46 | (0.11, 3.67) | 45.90 |
(336.09, 650.88) | 9.14 | (0.06, 0.11) | 1.36 | (78.95, 145.13) | 29.35 | (0.20, 0.31) | 2.64 | (1.43, 2.31) | 19.38 | (3.67, 5.95) | 27.01 |
(650.88, 1080.39) | 0.91 | (0.11, 0.16) | 2.38 | (145.13, 234.55) | 7.03 | (0.31, 0.39) | 5.89 | (2.31, 3.12) | 18.47 | (5.95, 8.33) | 15.49 |
(1080.39, 1677.60) | 0.26 | (0.16, 0.20) | 3.48 | (234.55, 371.63) | 1.51 | (0.39, 0.46) | 7.67 | (3.12, 3.95) | 15.64 | (8.33, 10.96) | 6.35 |
(1677.60, 2515.36) | 0.11 | (0.20, 0.25) | 4.38 | (371.63, 585.08) | 0.45 | (0.46, 0.52) | 7.40 | (3.95, 4.83) | 10.43 | (10.96, 13.91) | 3.02 |
(2515.36, 3689.55) | 0.04 | (0.25, 0.29) | 6.16 | (585.08, 910.02) | 0.19 | (0.52, 0.57) | 7.67 | (4.83, 5.78) | 8.08 | (13.91, 17.34) | 1.32 |
(3689.55, 5266.39) | 0.00 | (0.29, 0.33) | 7.22 | (910.02, 1430.61) | 0.08 | (0.57, 0.62) | 7.74 | (5.78, 6.84) | 6.23 | (17.34, 21.52) | 0.76 |
(5266.39, 7385.03) | 0.00 | (0.33, 0.38) | 7.44 | (1430.61, 2212.47) | 0.00 | (0.62, 0.66) | 8.88 | (6.84, 8.06) | 4.57 | (21.52, 26.72) | 0.11 |
(7385.03, 10,282.65) | 0.00 | (0.38, 0.42) | 10.09 | (2212.47, 3423.68) | 0.00 | (0.66, 0.71) | 7.78 | (8.06, 9.53) | 3.97 | (26.72, 33.26) | 0.04 |
(10,282.6, 14,106.60) | 0.00 | (0.42, 0.47) | 10.05 | (3423.68, 5308.78) | 0.00 | (0.71, 0.75) | 7.56 | (9.53, 11.39) | 2.61 | (33.26, 41.53) | 0.00 |
(14,106.6, 19,523.60) | 0.00 | (0.47, 0.51) | 10.80 | (5308.78, 7792.22) | 0.00 | (0.75, 0.80) | 6.91 | (11.39, 13.81) | 0.94 | (41.53, 52.31) | 0.00 |
(19,523.6, 26,922.44) | 0.00 | (0.51, 0.56) | 11.41 | (7792.22, 10,715.89) | 0.00 | (0.80, 0.85) | 6.72 | (13.81, 17.03) | 0.72 | (52.31, 67.13) | 0.00 |
(26,922.4, 35,608.03) | 0.00 | (0.56, 0.63) | 12.05 | (10,715.8, 14,611.60) | 0.00 | (0.85, 0.90) | 8.20 | (17.03, 21.37) | 0.23 | (67.13, 87.98) | 0.00 |
(35,608.0, 48,659.49) | 0.00 | (0.63, 0.71) | 9.52 | (14,611.6, 26,037.39) | 0.00 | (0.90, 0.95) | 7.40 | (21.37, 27.66) | 0.19 | (87.98, 118.10) | 0.00 |
(48,659.4, 67,909.16) | 0.00 | (0.71, 1.34) | 3.21 | (26,037.3, 34,898.16) | 0.00 | (0.95, 1.00) | 6.76 | (27.66, 40.37) | 0.08 | (118.10, 199.79) | 0.00 |
CA Intervals | % Cells | CR Intervals | % Cells | BF Intervals | % Buildings | BE Intervals | % Buildings | ASB Intervals | % Buildings | MDBB Intervals | % Buildings |
---|---|---|---|---|---|---|---|---|---|---|---|
(41.18, 336.09) | 51.15 | (0.05, 0.06) | 0.27 | (12.02, 78.95) | 27.21 | (0.05, 0.20) | 0.35 | (0.49, 1.43) | 8.57 | (0.80, 3.67) | 12.28 |
(336.09, 650.88) | 33.66 | (0.06, 0.11) | 1.15 | (78.95, 145.13) | 39.75 | (0.20, 0.31) | 1.06 | (1.43, 2.31) | 20.49 | (3.67, 5.95) | 22.70 |
(650.88, 1080.39) | 11.66 | (0.11, 0.16) | 2.92 | (145.13, 234.55) | 20.14 | (0.31, 0.39) | 3.89 | (2.31, 3.12) | 20.76 | (5.95, 8.33) | 27.03 |
(1080.39, 1677.60) | 2.65 | (0.16, 0.20) | 6.45 | (234.55, 371.63) | 9.63 | (0.39, 0.46) | 6.01 | (3.12, 3.95) | 15.72 | (8.33, 10.96) | 18.64 |
(1677.60, 2515.36) | 0.71 | (0.20, 0.25) | 7.51 | (371.63, 585.08) | 2.56 | (0.46, 0.52) | 7.07 | (3.95, 4.83) | 11.57 | (10.96, 13.91) | 11.57 |
(2515.36, 3689.55) | 0.09 | (0.25, 0.29) | 9.36 | (585.08, 910.02) | 0.62 | (0.52, 0.57) | 6.80 | (4.83, 5.78) | 6.27 | (13.91, 17.34) | 4.33 |
(3689.55, 5266.39) | 0.09 | (0.29, 0.33) | 14.84 | (910.02, 1430.61) | 0.09 | (0.57, 0.62) | 6.71 | (5.78, 6.84) | 5.48 | (17.34, 21.52) | 2.03 |
(5266.39, 7385.03) | 0.00 | (0.33, 0.38) | 14.22 | (1430.61, 2212.47) | 0.00 | (0.62, 0.66) | 8.83 | (6.84, 8.06) | 3.89 | (21.52, 26.72) | 0.97 |
(7385.03, 10,282.65) | 0.00 | (0.38, 0.42) | 12.54 | (2212.47, 3423.68) | 0.00 | (0.66, 0.71) | 9.10 | (8.06, 9.53) | 3.36 | (26.72, 33.26) | 0.18 |
(10,282.65, 14,106.60) | 0.00 | (0.42, 0.47) | 11.57 | (3423.68, 5308.78) | 0.00 | (0.71, 0.75) | 9.01 | (9.53, 11.39) | 1.41 | (33.26, 41.53) | 0.09 |
(14,106.60, 19,523.60) | 0.00 | (0.47, 0.51) | 8.92 | (5308.78, 7792.22) | 0.00 | (0.75, 0.80) | 9.63 | (11.39, 13.81) | 0.71 | (41.53, 52.31) | 0.09 |
(19,523.60, 26,922.44) | 0.00 | (0.51, 0.56) | 4.59 | (7792.22, 10,715.89) | 0.00 | (0.80, 0.85) | 7.42 | (13.81, 17.03) | 0.62 | (52.31, 67.13) | 0.09 |
(26,922.44, 35,608.03) | 0.00 | (0.56, 0.63) | 3.18 | (10,715.89, 14,611.60) | 0.00 | (0.85, 0.90) | 8.48 | (17.03, 21.37) | 0.27 | (67.13, 87.98) | 0.00 |
(35,608.03, 48,659.49) | 0.00 | (0.63, 0.71) | 1.77 | (14,611.60, 26,037.39) | 0.00 | (0.90, 0.95) | 7.69 | (21.37, 27.66) | 0.44 | (87.98, 118.10) | 0.00 |
(48,659.49, 67,909.16) | 0.00 | (0.71, 1.34) | 0.71 | (26,037.39, 34,898.16) | 0.00 | (0.95, 1.00) | 7.95 | (27.66, 40.37) | 0.44 | (118.10, 199.79) | 0.00 |
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CA Intervals | % Cells | Median (M) | Total Cell Areas (TCA) |
---|---|---|---|
(24.60, 336.09) | 29.70 | 180.35 | 5356.91 |
(336.09, 650.88) | 36.59 | 493.49 | 18,057.90 |
(650.88, 1080.39) | 20.22 | 865.64 | 17,505.06 |
(1080.39, 1677.60) | 9.33 | 1379.00 | 12,870.62 |
(1677.60, 2515.36) | 2.89 | 2096.48 | 6056.50 |
(2515.36, 3689.55) | 0.59 | 3102.46 | 1838.49 |
(3689.55, 5266.39) | 0.37 | 4477.97 | 1658.51 |
(5266.39, 7385.03) | 0.07 | 6325.71 | 468.57 |
(7385.03, 10,282.65) | 0.07 | 8833.84 | 654.36 |
(10,282.65, 14,106.60) | 0 | 12,194.63 | 0.00 |
(14,106.60, 19,523.60) | 0.15 | 16,815.10 | 2491.13 |
(19,523.60, 26,922.44) | 0 | 23,223.02 | 0.00 |
(26,922.44, 35,608.03) | 0 | 31,265.24 | 0.00 |
(35,608.03, 48,659.49) | 0 | 42,133.76 | 0.00 |
(48,659.49, 67,909.16) | 0 | 58,284.33 | 0.00 |
Sum: 66,958.05 |
BF Intervals | % Buildings | No. of Buildings |
---|---|---|
(12.02, 78.95) | 20.15 | 34 |
(78.95, 145.13) | 42.00 | 72 |
(145.13, 234.55) | 24.07 | 41 |
(234.55, 371.63) | 8.30 | 14 |
(371.63, 585.08) | 3.56 | 6 |
(585.08, 910.02) | 0.59 | 1 |
(910.02, 1430.61) | 0.81 | 1 |
(1430.61, 2212.47) | 0.30 | 1 |
(2212.47, 3423.68) | 0.07 | 0 |
(3423.68, 5308.78) | 0.07 | 0 |
(5308.78, 7792.22) | 0.07 | 0 |
(7792.22, 10,715.89) | 0 | 0 |
(10,715.89, 14,611.60) | 0 | 0 |
(14,611.60, 26,037.39) | 0 | 0 |
(26,037.39, 34,898.16) | 0 | 0 |
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Venerandi, A.; Romice, O.; Chepelianskaia, O.; Kalyan, K.; Bhardwaj, N.; Viese, V.; Ugás, S.; Raman, S.; Porta, S. Urban Morphometrics and the Intangible Uniqueness of Tangible Heritage. An Evidence-Based Generative Design Experiment in Historical Kochi (IN). Heritage 2021, 4, 4399-4420. https://doi.org/10.3390/heritage4040243
Venerandi A, Romice O, Chepelianskaia O, Kalyan K, Bhardwaj N, Viese V, Ugás S, Raman S, Porta S. Urban Morphometrics and the Intangible Uniqueness of Tangible Heritage. An Evidence-Based Generative Design Experiment in Historical Kochi (IN). Heritage. 2021; 4(4):4399-4420. https://doi.org/10.3390/heritage4040243
Chicago/Turabian StyleVenerandi, Alessandro, Ombretta Romice, Olga Chepelianskaia, Kavya Kalyan, Nitin Bhardwaj, Vija Viese, Sebastián Ugás, Shibu Raman, and Sergio Porta. 2021. "Urban Morphometrics and the Intangible Uniqueness of Tangible Heritage. An Evidence-Based Generative Design Experiment in Historical Kochi (IN)" Heritage 4, no. 4: 4399-4420. https://doi.org/10.3390/heritage4040243