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Transportation Deployment Casebook/2024/Sydney Bus

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The lifecycle of the Sydney bus network is about analysing the birthing, the growth, the maturity and potential decline of its service through data analytics and computer modelling. A time based approach is used to plot scale of its yearly patronage or track length over the network's entire lifetime. An S-curve model using the Logistics equation with three parameters forms the theoretical basis for this approach.

Background

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The bus network in Sydney, Australia forms the second largest public mode of travel by patronage in the state of New South Wales, behind the train line service. According to Transport NSW, in 2023, 48.9% of single trips completed using the train/metro whereas 38.1% of trips were completed by the bus.[1] As of 2015, it covers over 25,000 km of route length.[2] It services the CBD and the suburban areas of the Greater Sydney region and operates under Opal Card scheme introduced in 2013 to 2014.[3]

An articulated bus model Volvo B12BLEA.

The lifecycle of the bus network in Sydney spans over a 100 years and has changed based on the technology, and policy needs of the city. This lineage includes the early adoptions of the horse carriage omni buses to the modern engine powered articulated and double decked buses. It is estimated that the city has grown from 8.4 million yearly passengers in 1900 to over 308.8 million in 2014 as of latest figures by Bureau of Infrastructure, Transportation and Research Economics (BITRE), before the introduction of Opal.[4]

The bus network is considered quite a mature mode of transport as it has saturated the region for 30 years without increasing its ridership significantly. Due to recent events such as Covid-19, the ridership has still been in recovery as it has only surpassed 200 million yearly passengers again in 2023 still below its pre-Covid numbers of 308.5 million in 2019.[1]

History

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The historical context of the bus network in Sydney puts the numbers into a more human perspective. The trends in the bus network tend to reflect saturation without much room for growth only maintenance.

Birthing

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In the early 20th century, the tram network dominated the city followed by the ferry and heavy rail network. Since the modern car had not been motorised to take over the market just yet, the bus network was simply made of horse carriage omnibuses, that could hold not hold more than around 10-15 people before it was put under severe stress. This is in contrast to the early trams that were, at the time, just recently electrified, and could serve well over twice the capacity of a regular bus while having more connections and integration for faster travel time.

1898 Horse Carriage Omnibus typical of the 1900s.

Following the ending of the Great War, the buses too became motorised and received traction for their versatility and low maintenance and running costs. This was happening at the same as the modern personal car became a staple as production costs decreased, paved roads became more common and the urban landscape increased. This sparked large amount of privately owned bus companies to run as the transport had not been formally systematised by the state government. In 1927, over 500 buses that ran on a motor engine served the city while being unregulated.[5] In contrast, the trams were widely adopted by the city and plans to control major modes of public transport was an important opportunity to seize.

In 1930, the New South Wales government intervened the bus network operations by limiting its freedoms to open new routes and more services through taxation and legislation.[6] The Transport Act of 1931 passed to stifle the competition as its private owners could pay the high costs that the government enforced. A condensed timeline from BITRE shows that the bus service was still in its infancy but it was gaining popularity as the technology continued to accelerate especially post Second World War.

Growth

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The comparison and competition with the tram system continued through the 40s and 50s as the popularity of one mode sacrificed the patronage of the other. The exception occurred in the middle of World War Two where integration of the two services was used to save running costs for buses and trams, which proved important as this became a bigger problem later on and was experienced across the globe.[5][7] After the war, the buses were upgraded and received further funding as the idea of a wide spread bus urban public transport (UPT) mode became more popular. Similarly to the trends overseas, like in the U.S.A., car adoption with decrease in fuel price, stronger and lighter metals meant that the government could look into cheaper options that could gain capital. BITRE shows one perspective how attractive it would have been for petrol or diesel owned vehicles as their real price compared to 2011-12.[8]

1920's shows the rise of the bus network as the trams started to stagnate in use. Full quality image available when clicked. Sample data from BITRE.

From the beginning of WW II until the end 1939 - 1945), it saw an increase in yearly ridership by nearly 100 million people from 65.8 to 159.8 million.[4] This can be thought of as the inflexion point of highest rise in the mode's lifecycle. From 1946 all the way to end of the 70s, the bus saw a steadier rise in popularity as the tram network was virtually phased out in favour of the light capacity UPT that could now reach greater distances and was more versatile and flexible in times of need. In 1969, bus patronage reached a maximum yearly patronage of over 328.1 million, which is the first true peak of the mode and the sign of maturity and saturation over the upcoming decade.[4]

Maturity

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Despite the evolution of the bus taking over the tram system and becoming dominant the dominant UPT in the 70s and 80s, the numbers show a stagnation in the service as it was saturated and had reached most of the regions in the Greater Sydney region. Again, it followed similar paths to Australian cities such as Melbourne as it stagnated its development due to filling most of its areas with bus links. However, Melbourne had a resurgence that is up to dispute based on boundary conditions of city limits as pointed by the BITRE analysis.[4] As such, the data is not 100% conclusive as even the bureau agrees with through its inclusion of different accuracy classifications for its 'UPT Bus' figures in Sydney.

Decline

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Excluding Covid due to its external impacts on the wide transport network across the globe, Sydney bus system has stayed relatively consistent in terms of patronage numbers despite rising city population and possible demand for greater amount of bus services.

As of 2020, the network is 5 times the size that of 1925 and with more suburban and outer Sydney buses that travel longer distances.[2] However, with rise of suburban sprawl, cars have become dominant mode of transport for most residents and trains have gained more patronage becoming leading mode transport in 2023.[1]

Thus, bus network has reached an equilibrium in terms of its usage, or it is not utilised as has been argued in recent media and government pieces that debate efficacy of the system.[9][10]

S-Curve Projection

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Methodology

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For the projection to occur, the logistic S-curve is a sensible approach to assess the state of the bus network or any mode of transport or moving of goods. The unique aspect of being able to project a peak instead of an infinite rise like in an exponential rise give it more realistic use scenarios. However, it has to be noted that this logistic curve does not account for lag as is more evident in this mode of transport as it has not significantly decreased in its use but has also not found a resurgence or a second rise. The following equation sets the foundation for the predicted projection of the network vs the actual figures.

  • S(t) = given yearly passenger value at a given year
  • Sm = maximum predicted level
  • b = a coefficient representing the slope from predicted saturation and actual value at given time.
  • t = time in years
  • ti = inflection time

The b coefficient is represents a lot of challenge as the slope represents the natural log of the different cases where the actual value is compared against the difference between the actual and predicted saturation value.

  • x(t) = a point in time
  • K = chosen predicted saturation max passenger value.

For this data set, 114 years or points are chosen and the b is the slope in between them. The intercept is also calculated. This forms a straight line with an intercept which can be compared against real data. The R squared value (RSQ) is modelled in Excel to evaluate its effectiveness in realising the logistic S-curve. It is not only an approximation in terms of the method as it does not account for deviations or sudden falls or rises.

Results

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For this example, total 18 guesses were made for possible peak ranging from K = 330 - 500 million yearly patrons with a positive increment of 10 million.

The biggest RSQ was chosen out of the 18 calculations. The range between smallest and biggest number was 0.033967. This suggests that it is not conclusive what the maximum number could be and that it could range anywhere from 330 - 500 million without much difference. However, the maximum number was 360 million patrons.

RSQ 0.769418
b 0.060491
Sm 360,000,000

The graph visualises the logistic S-curve and how it generally follows the trend of the rise and peak of the Sydney buses. The extrapolation is not shown to reach 360 million passengers which is predicted to happen in 2027. It also shows the inability to account for the stagnation in the numbers its sharp climb happening during 40-70s not accounted. This might be because of the WW II dip that slowed down progress and the war efforts being the main capital investment for the government, with the addition of restrictions and rations.

The predicted model showing the S-curve compared to actual measured values of lifecycle of the Sydney bus mode.

The table of results is listed below:

Year Actual

Passengers

(millions)[4]

Predicted

Passengers

(millions)

1900 8.4 7
1901 8.0 8
1902 7.6 8
1903 7.2 9
1904 6.8 9
1905 6.5 10
1906 6.2 11
1907 6.0 11
1908 5.7 12
1909 5.4 13
1910 4.9 13
1911 4.5 14
1912 4.1 15
1913 3.7 16
1914 3.1 17
1915 2.5 18
1916 2.2 19
1917 2.3 20
1918 3.0 21
1919 4.4 23
1920 6.4 24
1921 9.2 25
1922 12.7 27
1923 16.4 28
1924 20.4 30
1925 24.5 32
1926 29.3 33
1927 34.6 35
1928 39.8 37
1929 45.9 39
1930 50.5 42
1931 51.0 44
1932 51.5 46
1933 52.0 49
1934 54.4 51
1935 56.9 54
1936 59.8 57
1937 60.4 60
1938 62.9 63
1939 65.8 66
1940 71.0 69
1941 92.6 73
1942 129.3 76
1943 143.1 80
1944 150.4 84
1945 159.8 88
1946 167.9 92
1947 179.0 96
1948 193.6 101
1949 231.1 105
1950 262.0 110
1951 268.0 114
1952 264.3 119
1953 257.3 124
1954 262.8 129
1955 269.2 134
1956 275.6 139
1957 235.9 144
1958 251.1 149
1959 275.9 155
1960 290.4 160
1961 311.6 166
1962 307.7 171
1963 295.4 176
1964 297.8 182
1965 301.8 187
1966 326.7 193
1967 323.3 198
1968 323.1 203
1969 328.1 209
1970 324.3 214
1971 319.8 219
1972 286.8 224
1973 300.5 230
1974 298.8 234
1975 289.5 239
1976 270.0 244
1977 266.6 249
1978 268.4 253
1979 260.9 258
1980 264.4 262
1981 269.6 267
1982 263.4 271
1983 265.3 275
1984 263.4 279
1985 268.5 282
1986 269.5 286
1987 275.5 289
1988 281.5 293
1989 280.7 296
1990 273.6 299
1991 282.7 302
1992 281.7 305
1993 270.1 308
1994 271.7 310
1995 274.7 313
1996 282.8 315
1997 288.9 318
1998 293.2 320
1999 295.8 322
2000 291.6 324
2001 286.6 326
2002 274.5 328
2003 275.1 329
2004 273.1 331
2005 278.6 333
2006 279.0 334
2007 283.7 336
2008 291.7 337
2009 297.8 338
2010 292.5 339
2011 299.0 341
2012 304.3 342
2013 306.7 343
2014 308.3 344

References

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  1. a b c NSW, Transport for (2023-06-22). "Public Transport Trips - All Modes". www.transport.nsw.gov.au. Retrieved 2024-03-03.
  2. a b Rayaprolu, Hema (2021). "Evolution of Sydney's Bus Network: 1925 to 2020". ATRF. Retrieved 2024-03-03.
  3. "'The end of ticket queues': Minister announces Opal trial". The Sydney Morning Herald. 2013-06-02. Retrieved 2024-03-03.
  4. a b c d e "Long-term trends in urban public transport". BITRE. Retrieved 2024-03-03.
  5. a b Solomons, Vic (1983). "50 Years of Government Bus Service" (PDF). Sydney Tramway Museum. Retrieved 2024-03-03.
  6. "ROUTE NUMBERING HISTORY – Sydney Bus Routes". Retrieved 2024-03-03.
  7. Munoz, Juan-Carlos (2016). Restructuring public transport through Bus Rapid Transit - An international and interdisciplinary perspective. Bristol: Policy Press. pp. 31–33. ISBN 9781447326168.
  8. "Petrol Prices and Diesel Prices in Australia" (PDF). BITRE. 2016. Retrieved 2024-03-03.
  9. "Privatisation of bus serivces" (PDF). Parliament NSW. 2022. Retrieved 2024-03-03.
  10. Smith, Alexandra (2023-04-30). "Bus privatisation under the spotlight as delays and driver shortages worsen". The Sydney Morning Herald. Retrieved 2024-03-03.