# 2016 Census Update of the Net Interstate Migration Model, 2011-2016

Describes the methodology and results of the most recent five-yearly review of the interstate migration estimation model

Released
19/12/2019

## Introduction

Interstate migration is an important component of state-level population change in Australia, along with natural increase and overseas migration. Unlike the latter two components, there is no direct measure of interstate migration. Instead, migration estimates are modelled using change of address data from Medicare and the Department of Defence received quarterly.

Following the 2016 Census, the expansion factors used to account for under-reporting of address change in the Medicare data have been recalculated. These new expansion factors have been used to finalise the quarterly interstate migration estimates for the previous intercensal period (September 2011 to June 2016). The new factors have also been applied to all quarters from the 2016 Census (i.e. September 2016 quarter onwards) and will continue to be used until after the 2021 Census.

This paper presents the outcomes of this two processes following the 2016 Census, including the difference in the revision method used this Census cycle compared to previous revisions.

## Data sources

Interstate migration estimates incorporate three sources of data, to different degrees: Medicare data, Defence force data, and Census data.

### Medicare data

Quarterly estimates of interstate migration are published in Australian Demographic Statistics (cat. no. 3101.0). The main input to these estimates is Medicare change of address information, administered and supplied by the Department of Human Services. The Medicare system theoretically covers all Australian citizens and permanent residents, as well as certain temporary visa holders. Notably, people on international student visas or temporary work (457) visas are not covered by Medicare.

It is known that some people - particularly younger people - do not register changes of address with Medicare, or do so long after they move. This means that the Medicare data underestimates interstate migration for certain age groups. Comparing the change in relationship between Census and Medicare over time indicates that the level of under-reporting in Medicare (combined with population under-coverage) increased between 2006 and 2011.

This period coincides with increased promotion by Medicare of online claiming options. Under-reporting was previously confined primarily to young adults aged under 30, but over time under-reporting of address change to Medicare has increasingly affected older ages. The extent of under-reporting differs further by sex, with males more likely to be under-represented in the Medicare address change data, and across states and territories.

The below graph shows the number of people who indicated in the Census that their address one year ago was interstate from their current address, divided by the number of address changes supplied to Medicare for the same year. This ratio has been graphed by age. A ratio higher than one suggests that more people indicated in the Census that they had moved interstate than had reported their move to Medicare.

1. Moves over one year, Census data weighted to ERP, Medicare data unadjusted.

Despite these limitations, Medicare data is the most effective source of internal migration currently available, based on timeliness and population scope. Address change data from the Defence force data and from the Census data are used to supplement the Medicare data, to address some of the known limitations.

Australian defence force personnel have access to alternative health services and so may not use Medicare's services. To account for this, 70% of interstate movements by defence force personnel (calculated by age, sex and state/territory of arrival and departure) are added to the Medicare data. This data is provided to the ABS by the Department of Defence quarterly. It is not known what proportion of defence personnel opt to use Medicare instead of Defence's health system. The 70% factor is an estimate based on the assumption that single people are most likely to exclusively use the Defence health service whereas personnel with a partner or dependents are likely to be listed on the same Medicare card as their family members and so captured in the Medicare address change data. In 2016, 71.5% of defence personnel who moved interstate had neither a partner nor children.

The defence adjustment has a small total impact on net interstate migration, accounting for less than 3% of all movements. This impact varies markedly across states and territories, from 6.5% of movements to and from the Northern Territory in 2015/16, to 0.6% of movements to and from Tasmania.

### Census

The Australian Census of Population and Housing includes a question on address of usual residence one year ago and address five years ago, so that alternative interstate migration estimates can be calculated. These estimates are complementary to the Medicare-based estimates, rather than being superior. Census only provides a one-year and five-year snapshot of interstate migration, whereas quarterly estimates are required for the purposes of calculating the population. Census is limited in its ability to capture multiple interstate movements by the same person within the one or five year period. Although the scope of Census covers the whole population, non-response is still a factor - either where no Census form was received from an individual, or the specific question was missed.

### Extent of non-response in Census data

Of all Census records for usual residents, 8.6% had no response stated for their address one year ago. There was little variation in response rate between sexes or between states, other than Tasmania which had a non-response rate of 14.2% for this item. The item response rate also varied by age, with people over age 70 more likely not to answer. Most of non-responses came from imputed records. This means either that no form was collected but a Census record was created (with basic demographic information imputed), or that age or sex was not stated on a form received. Census records for which the person's sex or age or both was imputed accounted for 61% of records with address one year ago not-stated, compared to only 6.0% of all records. Imputation rates also varied by state, between 5.0% for Tasmania and 12.0% for the Northern Territory.

1. Census data is adjusted to account for residents temporarily overseas and for net undercount. This is done by taking the ratio of Census count to estimated resident population (ERP) for 9 August 2016, and applying this factor at age/sex/state level to the migration data. For more information on the difference between Census population estimates and ERP estimates, see feature article Final rebasing of Australia's population estimates using the 2016 Census.

$$Census \space based \space migration_a = Raw \space census \space migration_a \times \frac{ERP \space population_a}{Census \space population_a}$$, where a = age/sex/state
(e.g. 20 year-old males in New South Wales)

1. Item non-responses are pro-rated across states by age and sex. For example, there were 3,800 males aged 20 living in New South Wales whose address five years ago was not stated. Of those who did answer that Census question, 97% lived in New South Wales five years ago, 0.6% lived in Victoria, 1.1% lived in Queensland, etc. The 3,800 not stated responses were distributed according to these proportions.
2. People aged 0-4 on Census night have no response for 5 year-ago question. For 0-1 year-olds these are estimated based on the one year ago data for 1 year olds. For 2-4 year-olds an estimate is produced based on the data for five year olds, using the relationship between 5 year olds and younger ages in the Medicare data.

The data resulting from this adjustment process is what we call the 'Census-based' interstate migration estimates.

## Results

According to these adjusted Census results, 340,000 people lived in a different state on Census night than where they lived one year earlier. Slightly more males than females moved interstate despite there being more females in the population. Interstate movers also had a more pronounced age distribution than the general population. People aged 18 to 40 made up over half (54%) of all interstate movers, compared to only one-third (32%) of the total population. These trends broadly align with published preliminary estimates of net interstate migration.

### Calculating expansion factors

The interstate migration estimates used in calculating the quarterly ERP incorporate each of the above data sources. The model includes an 'expansion factor' calculated from the Census-based estimates to account for under-reporting of address change to Medicare, as follows:

$$Interstate \space Migration =(Medicare \space data \space \times \space expansion \space factor)+(Defence \space data \space \times \space 70\%)$$

Expansion factors are calculated for each age/sex/state/move type (ie arrival or departure) combination, and applied to certain age groups as:

$$Expansion \space factor =\frac{(Census \space based \space estimate \space - \space defence\space adjustment) \space \times \space Multiple \space Mover \space factor}{Raw \space Medicare \space data}$$

### Multiple mover factor

The biggest conceptual difference in coverage between Census data and Medicare data is in their ability to capture multiple interstate moves made by the same person within the year. Medicare records up to four moves per year (one per quarter), whereas Census records a maximum of one move for the year. To make the two data sources more comparable, Census data is inflated by the percentage of movements captured by Medicare which are not conceptually covered by Census.

This covers the following scenarios:

• If a person moves interstate (e.g. from New South Wales to the Australian Capital Territory) and then in a later quarter of the same year moves from to a third state (e.g. from the Australian Capital Territory to Victoria), Medicare records two moves, but Census only records one (New South Wales to Victoria).
• If a person moves interstate (e.g. from New South Wales to the Australian Capital Territory) and then returns to their original state within the same year (e.g. from the Australian Capital Territory to New South Wales), Medicare will record two moves, but Census will record no move at all.

To calculate the multiple mover factor, anonymous records from the quarterly Medicare data were matched by age, date of birth, enrolment type and postcode to estimate which movement records constituted multiple interstate movements by the same person. This percentage was applied to the Census data by single year of age/sex/state.

The multiple mover calculation was last done in 2006, when it was found that people who moved interstate more than once accounted for 7.0% of all interstate movements. In 2016 this percentage was found to be 6.5%.

Census estimates include defence force personnel. Approximately 88% of the defence adjustments applied to Medicare were conceptually covered by Census, and were removed from the Census estimate to allow for a direct comparison with the Medicare data. The remaining 12% were conceptually not able to be captured by Census and therefore were removed from the defence adjustments before subtracting from Census.

This included all movements for people who moved interstate but returned to their original state, and the intermediate movements of a multiple interstate move (e.g. from New South Wales to the Australian Capital Territory to Victoria).

• If a person moves interstate and then returns to their original state, Census records no move, so these movements were removed from the defence data before subtracting from Census
• If a person moves (for example) from New South Wales to the Australian Capital Territory and then from the Australian Capital Territory to Victoria, Census records this as New South Wales to Victoria, so the arrival to and departure from the Australian Capital Territory are missed and therefore were removed from the defence data before subtracting from Census

### Smoothing and capping

Because the expansion factors are based on comparison of only one year of data (2015-16), they are potentially volatile and are limited in their ability to represent a longer period. The relationship between Census and Medicare for a given age/sex/state observed to particularly fluctuate as actual migration behaviour changes. Smoothing and capping are both treatments which help to 'future-proof' the expansion factors.

### Smoothing

All inputs, as well as the expansion factors themselves, were smoothed by taking a three-term moving average across single years of age. For example, the smoothed figure for age 24 is the average of the figures for ages 23, 24 and 25. This reduces the impact on future estimates of random noise within the historical data. This smoothing also addresses the theoretical inconsistency that Census data gives age at the end of the period, rather than age at move. In previous reviews, adjusting the age of the Census data was not found to have a significant impact on the data. Smoothing was not applied where this would change the real pattern of the data - i.e., defence was only smoothed starting at age 19, because smoothing ages 17 and 18 distorted the real pattern.

### Capping

Expansion factors were capped at 2, as has been the practice in the past. Capping the expansion factors at 2.0 limits the influence of any one age group, whose behaviour may change over time.

### Age range

Expansion factors are calculated for all ages, but are only applied to certain ages. When this model was originally designed in 1996, only a small number of consecutive ages were under-represented in the Medicare data, and the extent of undercoverage was relatively small. As can be seen in the graph Interstate moves, ratio of Census to Medicare-based, by age, Australia above, both the number of ages under-represented and the extent of this under-coverage, have increased over the last 20 years. In 2016, the possibility of applying all factors greater than 1.0 (rather than limiting to an age range) was considered, however the results were too variable, especially for smaller states.

The original intention of the model was to apply an expansion factor to all ages that experienced under-reporting in the Medicare change of address data - with an upper age limit of 55 years, as data becomes more volatile in older ages. That is, any age (below 55) for which the expansion factor was greater than 1.0. When this model was originally designed (in 1996), only a relatively small number of consecutive ages were under-represented, and only by a relatively small amount.

In 2016, over half the ages had expansion factors greater than 1.0, not necessarily consecutively (see the graph Interstate moves, ratio of Census to Medicare-based, by age, Australia above). To reduce this variability and 'future-proof' the model as much as possible, the age range to which the expansion factors are applied was limited to only addressing the main bulk of the under-reporting, at the Australia level. Note that expansion factors are calculated and applied at the state level - it is only the age range which is determined at the Australia level. This approach produced less variability when applying different Census' expansion factors to the same Medicare data, and also performs well in minimising intercensal difference.

The resulting age range to which the expansion factors were ultimately applied was 17-35 for males, and 17-30 for females. These age ranges cover 91% of under-reporting according to the 2016 Census.

### Revising interstate migration

The new, 2016 Census-based expansion factors have now been applied to all data from September 2011 onwards, and will continue to be used in the preliminary migration model until after the 2021 Census. Prior to this revision, preliminary interstate migration (that is, from September 2011 onwards) was based on the expansion factors calculated from the 2011 Census. Data up to June 2016 is now considered final. Data from September 2016 onwards will be revised following the 2021 Census.

The expansion factors are available from the Data downloads section in the Interstate Migration Expansion Factors datacube.

Prior to this revision, preliminary interstate migration (that is, from September 2011 onwards) was based on the expansion factors calculated from the 2011 Census. The newly-calculated 2016 Census-based expansion factors will be applied from September 2016 - so the last 5 quarters of published data are being revised due to the change. These new factors will continue to be used in the preliminary model until after the 2021 Census. Data from September 2011 to June 2016 has been revised according to the method below, and is now 'final'.

In previous years, the new expansion factors have been applied only to estimates forward from the most recent Census. The revision to the previous intercensal period was done differently.

### Difference to previous revision method

The method of revision is reviewed and adjusted each Census cycle in order to produce the best final estimates. One indicator of the accuracy of the interstate migration estimates is intercensal difference. Intercensal difference is the difference between preliminary population estimates based on the 2011 Census (updated using births, deaths, overseas and interstate migration data), and the 'rebased' population estimate based on the 2016 Census. If the final interstate migration estimates result in a smaller intercensal difference, this may indicate an improvement in the estimate. Intercensal difference cannot be wholly attributed to interstate migration - other components as well as the 2011 base population and 2016 population estimate may contribute.

In the past, the difference between the Census-based estimate and the Medicare-based estimate was highly correlated with preliminary intercensal difference (R2=0.82 in 1996). The revision to net interstate migration (NIM) was made by adjusting the Medicare estimate for each state by the amount of the intercensal difference. This adjustment consistently resulted in a NIM estimate that was closer to the Census estimate than the preliminary estimate had been. Over time the relationship between Census, Medicare and Intercensal difference weakened such that the previously observed correlation no longer exists (R2=0.05 in 2016). Neither the newly calculated Census-based estimates nor the previously published Medicare-based estimates are observed to be systematically 'more accurate' than the other for every state in 2016.

The estimation method used in recent revision cycles was therefore not appropriate to the new data. It was decided that a more appropriate treatment would be to revise the 2011-2016 data using the same model as the preliminary estimates, but updated with the 2016 expansion factors. This method treats all states comparably, draws on the strengths of both Census and Medicare and aligns well, overall, with known trends over the five-year period. It also produced more plausible and consistent results than other methods considered, when tested against other Census years.

### Further results

The graphs and tables below show the differences between preliminary and final NIM estimates.

Interstate migration and corresponding intercensal difference, September 2011 to June 2016
2011-based (preliminary)                        2016-based (final)
Net interstate migrationIntercensal difference(a)Net interstate migrationIntercensal difference
New South Wales-57 0004 200-58 0003 600
Victoria43 000-91 50047 000-86 700
Queensland43 0007 70046 00010 500
South Australia-20 000400-24 000-3 700
Western Australia11 00050 700-2 00037 900
Tasmania-6 0003 800-3 0007 200
Northern Territory-12 0001 200-8 0005 000
Australian Capital Territory-2 000-1 8001 000900
Other Territories(b). .400. .400
Australia. .-24 900. .-24 900

. . not applicable
a.   2011-based intercensal difference is the difference that would have occurred if NIM had not been revised. It takes into account final rebasing of the June 2016 ERP as well as finalisation of other components of ERP. This is not the same as 'preliminary intercensal difference' published elsewhere, which relates to the difference prior to final rebasing and finalisation of components.
b.   Comprises Jervis Bay Territory, Christmas Island and the Coco (Keeling) Islands.

Difference between preliminary and final net interstate migration, September 2011 and June 2016
Difference preliminary to final
ArrivalsDeparturesNet
New South Wales                                         -11 000-11 000       1 000
Victoria-12 000-7 000-5 000
Queensland-2 0001 000-3 000
South Australia1 000-3 0004 000
Western Australia8 000-5 00013 000
Tasmania-5 000-1 000-3 000
Northern Territory-3 0001 000-4 000
Australian Capital Territory-4 000-1 000-3 000
Other Territories-1 000-1 000-
Australia. .. .. .

. . not applicable
- nil or rounded to zero (including null cells)

Preliminary and revised net interstate migration(a), September 2016 to September 2017
2011-based (preliminary)2016-based (revised)Difference
New South Wales                         -18 800-19 100                   -350
Victoria19 90021 1001 190
Queensland22 70023 200470
South Australia-7 000-8 100-1 040
Western Australia-14 000-16 700-2 660
Tasmania1 1002 100980
Northern Territory-4 300-3 500750
Australian Capital Territory4001 000670
Other Territories. .. .. .
Australia. .. .. .

. . not applicable
a.   These estimates are subject to further revision after the 2021 Census.