Table 1 Parameter values used in the model analysis and data sources.

From: Generative AI may create a socioeconomic tipping point through labour displacement

Parameter

Symbol

Value

Data source

Underutilised persons initial

U0

1,445,000

Unemployed plus underemployed persons in Australia as of 30th June 2023—seasonally adjusted (ABS, 6202.0 Labour Force, Australia, Table 22. https://www.abs.gov.au/statistics/labour/employment-and-unemployment/labour-force-australia/latest-release)

Ratio of underemployed to unemployed

r

1.6

Derived from ABS, 6202.0 Labour Force, Australia, Table 22. https://www.abs.gov.au/statistics/labour/employment-and-unemployment/labour-force-australia/latest-release. Average value over the 10-year period, Dec 2013—Nov 2023. Varied by ± 10% in sensitivity analyses

Ratio of disposable income of an underemployed to fully employed person

77%

Derived from Table 25 of: Campbell I., Parkinson, S. and Wood, G. (2014) Underemployment and housing insecurity: an empirical analysis of HILDA data, AHURI Final Report No.230. Melbourne: Australian Housing and Urban Research Institute

Labour underutilisation onset rate initial

O0

9.9%

Derived from ABS, 6202.0 Labour Force, Australia, Table 22 https://www.abs.gov.au/statistics/labour/employment-and-unemployent/labour-force-australia/latest-release

Base labour underutilisation onset rate increase per year

β

0.0015

Reasoned estimate based on plausible forward projections of labour underutilisation to 2050.5. Varied by ± 10% in sensitivity analyses

Labour force initial

i

14,585,316

Labour force total persons as of 30th June 2023. ABS, 6202.0 Labour Force, Australia, Table 22: https://www.abs.gov.au/statistics/labour/employment-and-unemployment/labour-force-australia/latest-release

Capital-to-labour ratio (K-L ratio) initial

K0

94.6

ABS, Australian National Accounts, 2022–23, Cat. no. 5204.0, Table 13: https://www.abs.gov.au/statistics/economy/national-accounts/australian-system-national-accounts/latest-release. Quality adjusted hours worked and indexed (2021 = 100)

K-L ratio percent increase per annum

α

1.8%

ABS, Australian National Accounts, 2022–23, Cat. no. 5204.0, Table 13: https://www.abs.gov.au/statistics/economy/national-accounts/australian-system-national-accounts/latest-release. Average annual increase in the K-L ratio over the period 1995 to 2023 derived from regression model

Initial population

P0

26,638,544

The population of Australia as of 30th June 2023 (https://www.abs.gov.au/statistics/people/population)

Population increase percent per annum

\(g\)

1.1

Population projections, Australia:https://www.abs.gov.au/statistics/people/population/population-projections-australia/2022-base-2071. This approximates medium series by 2050.5

Mortality rate

m

0.0015

Derived from Australian Bureau of Statistics. Table 1.9, Life Tables, Australia, 2020–2022 https://www.abs.gov.au/statistics/people/population/life-expectancy/latest-release and population data for each age

New job creation rate per capita

λ

0.0021

Australian Bureau of Statistics. (2019, December 10). Jobs growth over the past 25 years. ABS. https://www.abs.gov.au/articles/jobs-growth-over-past-25-years. Varied between 0.001 (half the default value) and 0.0042 (double the default value) in sensitivity analyses

Delay in change to underutilisation onset rate

d

5

5 years—an estimate. Delay in changes to the underutilisation onset rate as a result of changes to the K-L ratio

Base Multi-Factor Productivity (MFP) rate

ν

0.56298

Derived from MFP data, OECD, Australia, 1985–2022: https://data.oecd.org/lprdty/multifactor-productivity.htm

Scaling factor

τ

86,985

To align the model’s output with the June 2023 Real Net National Disposable Income (RNNDI) per capita in Australia, a scaling factor of 86,985 was applied. This calibration ensures the model’s initial conditions broadly reflect a real world economic indicator of disposable income (data: Table 1 : https://www.abs.gov.au/statistics/economy/national-accounts/australian-national-accounts-national-income-expenditure-and-product/latest-release#data-downloads)

Proportion of disposable income affected by productivity related price decreases

ω

50%

Reasoned estimate. Varied between 30 and 70% in sensitivity analyses

The per unit change in average disposable income as the proportion of the population underutilised changes

θ

Graphical converter*: Points (underutilisation, disposable income): (0.000, 1.359), (0.500, 1.152), (1.000, 1.000), (1.500, 0.876), (2.000, 0.796), (2.500, 0.748), (3.000, 0.705), (3.500, 0.676), (4.000, 0.648), (4.500, 0.631), (5.000, 0.612). Value of 1 is reference point (i.e. current values of underutilisation and average disposable income). Highlighted example says that if underutilisation was double the current rate, then average disposable income (wages) would be 79.6% the current level (or 20.4% less than the current level). Approximates Phillips Curve provided by the Reserve Bank of Australia (Fig. 3 in https://www.rba.gov.au/publications/rdp/2021/pdf/rdp2021-09.pdf)

The per unit change in the underutilisation onset rate as a result of changes to the K-L ratio due to generative AI

η

Graphical converter*: Points (K-L ratio, labour underutilisation onset rate): (0.000, 0.000), (0.500, 0.291), (1.000, 1.000), (1.500, 1.990), (2.000, 3.083), (2.500, 4.029), (3.000, 4.636), (3.500, 4.976), (4.000, 5.000), (4.500, 5.000), (5.000, 5.000)

The per unit change in the MFP rate as a result of changes to the K-L ratio due to generative AI

δ

Graphical converter*: Points (K-L ratio, MFP): (0.000, 0.000), (0.500, 0.415), (1.000, 1.000), (1.500, 1.524), (2.000, 2.214), (2.500, 3.135), (3.000, 4.093), (3.500, 4.667), (4.000, 4.929), (4.500, 5.000), (5.000, 5.000)

The per unit change in prices as MFP increases

ρ

Graphical converter* (MFP, prices): Points (MFP, Prices): (0.000, 1.3890), (0.500, 1.1500), (1.000, 1.0000), (1.500, 0.9223), (2.000, 0.8870), (2.500, 0.8560), (3.000, 0.8332), (3.500, 0.8083), (4.000, 0.8000), (4.500, 0.8000), (5.000, 0.8000)

  1. *Graphical converters are mathematical functions that use a series of input–output coordinate points to determine intermediate values through interpolation. For example, if the input value falls between two defined points, the converter calculates the corresponding output value by interpolating between the known coordinates.