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  • 7/31/2019 A First Look at Australian Unemployment Statistics: A New Methodology for Analyzing Unemployment Data

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    A First Look at Australian Unemployment Rates

    A New Methodology for Analyzing Unemployment Stats

    Courtesy images:http://www.travelnotes.org/Oceania/images/australia_regions.gif

    https://reader009.{domain}/reader009/html5/0429/5ae4a981ed67a/5ae4a98506c3f.jpg https://reader009.{domain}/reader009/html5/0429/5ae4a981ed67a/5ae4a9867492b.jpg

    http://www.travelnotes.org/Oceania/images/australia_regions.gifhttp://www.travelnotes.org/Oceania/images/australia_regions.gifhttp://www.travelnotes.org/Oceania/images/australia_regions.gifhttp://www.sydney-australia.biz/western-australia/graphics/western-australia-kangaroo-beach.jpghttp://www.sydney-australia.biz/western-australia/graphics/western-australia-kangaroo-beach.jpghttp://resources3.news.com.au/images/2012/02/26/1226282/095447-australia-politics-gillard.jpghttp://resources3.news.com.au/images/2012/02/26/1226282/095447-australia-politics-gillard.jpghttp://resources3.news.com.au/images/2012/02/26/1226282/095447-australia-politics-gillard.jpghttp://www.sydney-australia.biz/western-australia/graphics/western-australia-kangaroo-beach.jpghttp://www.travelnotes.org/Oceania/images/australia_regions.gif
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    Table of Contents

    No. Topic Page No.

    1. Abstract 3

    2. Brief Introduction to Analysis 4

    3. Unemployment Diagrams 9

    4. Unemployment rate of 6% in 2013: Implications 15

    5. Summary and Conclusions 17

    6. Appendix 1: Compilation of some news items 18

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    1. Abstract

    There has been a significant improvement in the Australian economy, especially

    the unemployment situation (which is the focus here), between 2011 and 2012, as

    revealed by an analysis of the unemployment data, using a new methodology, as

    described here.

    Instead of the exclusive focus on the unemployment rate y/x, the focus here is on

    the nature of the underlying x-y relation where x is the labor force and y the

    number of unemployed.

    As with the earlier analysis for the USA (for the period 1941-2012), a simple linearlaw y = hx + c relates the two variables of interest. As the labor force x increases

    (or decreases), the unemployment levels y will also increase or decrease, following

    this simple linear law. However, the unemployment rate y/x = h + (c/x) can either

    increase or decrease depending on the numerical values of the constants h and c

    (which can be either positive or negative).

    The significant improvement in the Australian unemployment situation, between

    2011 and 2012, can be appreciated by the fact that h > 1 in 2011 but has now

    decreased to h 0.20 in 2012. The number of unemployed y is, therefore, growing

    at a lower rate in 2012, compared to 2011, with increase in the labor force.

    NOTE: More than 100 hits had been recorded after posting, in the first hour

    or so, prompting this clarification. I found an unfortunate numerical error in

    the PREVIOUS version, in Table 1. I had converted unemployed to millions

    and added this to the employed before converting it also to millions. This

    affects the labor force values. All graphs and Table 1 have been updated in

    this revision. The slope calculations were obviously affected by the numerical

    error and have also been fixed. Sorry, folks. I have been much too busy with

    several of these articles and, sometimes, mistakes are made. This is the first

    one that I discovered after posting. It was bugging me why I got 5.4% for

    unemployment rate for June 2012 instead of 5.2% (news media, or 5.1% as

    quoted on the ABS website).

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    2. Brief Introduction to Analysis

    Australias unemployment rate rose to 5.2% according to the most recent monthly

    data for June 2012, seehttp://www.abs.gov.au/ausstats/[email protected]/mf/6202.0/.

    Some economists have already warned that the unemployment rate could exceed

    6% in 2013 (see links to news items complied at the end of this article). Retiring

    baby boomers and youth who choose to stay in school longer are masking the more

    grim unemployment outlook.

    The unemployment rate is the ratio y/x, converted to a percentage, where the

    numerator y is the number of unemployed workers and the denominator x is the

    total labor force, the sum of the employed plus the unemployed. The data is

    obtained from various surveys, conducted monthly, and then extrapolated to the

    larger population, see website of Australian Bureau of Statistics, link given above

    for the June news release. The monthly data, from January 2011 to June 2012 has

    been compiled in Table 1 and will be analyzed here briefly.

    Notice that the labor force x has increased between Jan 2011 and June 2012, see

    Figure 1. The unemployment rate, y/x, on the other hand has been going up and

    down and revealed a pronounced peak, as seen in Figure 2. An expanded scale isused in both figures to reveal these trends. As discussed in two recent articles (see

    links below) which discuss the high US unemployment rate during the Obama

    years and how it compares with other periods of high US unemployment rates

    (from 1941-2011), the focus has always been on the ratio y/x. The relation between

    the labor force x and the number of unemployed y has generally not been

    investigated and tells a very different story.

    1. http://www.scribd.com/doc/99647215/The-US-Unemployment-Rate-What-

    happened-in-the-Obama-years Published July 10, 2012.2. http://www.scribd.com/doc/99857981/The-Highest-US-Unemployment-

    Rates-Obama-years-compared-with-historic-highs-in-Unemployment-levels

    Published July 12, 2012.

    http://www.abs.gov.au/ausstats/[email protected]/mf/6202.0/http://www.abs.gov.au/ausstats/[email protected]/mf/6202.0/http://www.abs.gov.au/ausstats/[email protected]/mf/6202.0/http://www.scribd.com/doc/99647215/The-US-Unemployment-Rate-What-happened-in-the-Obama-yearshttp://www.scribd.com/doc/99647215/The-US-Unemployment-Rate-What-happened-in-the-Obama-yearshttp://www.scribd.com/doc/99647215/The-US-Unemployment-Rate-What-happened-in-the-Obama-yearshttp://www.scribd.com/doc/99647215/The-US-Unemployment-Rate-What-happened-in-the-Obama-yearshttp://www.scribd.com/doc/99647215/The-US-Unemployment-Rate-What-happened-in-the-Obama-yearshttp://www.scribd.com/doc/99857981/The-Highest-US-Unemployment-Rates-Obama-years-compared-with-historic-highs-in-Unemployment-levelshttp://www.scribd.com/doc/99857981/The-Highest-US-Unemployment-Rates-Obama-years-compared-with-historic-highs-in-Unemployment-levelshttp://www.scribd.com/doc/99857981/The-Highest-US-Unemployment-Rates-Obama-years-compared-with-historic-highs-in-Unemployment-levelshttp://www.scribd.com/doc/99857981/The-Highest-US-Unemployment-Rates-Obama-years-compared-with-historic-highs-in-Unemployment-levelshttp://www.scribd.com/doc/99857981/The-Highest-US-Unemployment-Rates-Obama-years-compared-with-historic-highs-in-Unemployment-levelshttp://www.scribd.com/doc/99857981/The-Highest-US-Unemployment-Rates-Obama-years-compared-with-historic-highs-in-Unemployment-levelshttp://www.scribd.com/doc/99857981/The-Highest-US-Unemployment-Rates-Obama-years-compared-with-historic-highs-in-Unemployment-levelshttp://www.scribd.com/doc/99647215/The-US-Unemployment-Rate-What-happened-in-the-Obama-yearshttp://www.scribd.com/doc/99647215/The-US-Unemployment-Rate-What-happened-in-the-Obama-yearshttp://www.abs.gov.au/ausstats/[email protected]/mf/6202.0/
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    12.020

    12.040

    12.060

    12.080

    12.100

    12.120

    12.140

    12.160

    0 3 6 9 12 15 18 21

    580

    590

    600

    610

    620

    630

    640

    650

    0 3 6 9 12 15 18 21

    Time t [months]

    Laborforce,x[millio

    ns]

    Time t [months]

    Unemployed,y[in000s]

    Oct 11

    Oct 11

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    Figure 1 (Top): Australian labor force x plotted as a function time t expressed in

    months, with Jan 2011 being taken as month number 1. More than one value can

    be obtained for any given month because of revisions being made for prior month.

    Some of these are included here in this plot (vertical line at same month number).

    Figure 2 (Middle): Australian unemployment level y, plotted as a function time t

    expressed in months. The Oct 2011 peak in the unemployed y coincides with a

    local maximum in the labor force x.

    Figure 3 (Bottom): Australian unemployment rate plotted as a function time t

    expressed in months. The maximum in the unemployed y in Oct 11 coincides with

    the maximum in the unemployment rate, also observed in October 2011.

    4.7

    4.8

    4.9

    5.0

    5.1

    5.2

    5.3

    5.4

    0 3 6 9 12 15 18 21

    Time t [months]

    Unemploy

    mentrate,y/x[perce

    nt]

    Oct 11

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    For example, for the USA, the study of all of the historical data reveals a simple

    linear relation, y = hx + c = h(x x0), between the labor force x and the

    unemployed y. The numerical values of the constants h and c in this law can be

    fixed by considering the data for different periods. Interestingly, this also fixes the

    cut-off labor force, x0 = - c/h, below which the number of unemployed y = 0.

    For the USA, we find that there were three periods when the unemployment level y

    was its highest for that era: in 1941, in 1982 and 1983, and now in 2009-2011.

    These highest ever recorded unemployment levels can be shown to fall on a

    PERFECT straight line, with the equation y = 0.0946x + 0.2731, thus revealing a

    unique relation between the labor force x and the unemployed y, see Figure 4 in

    Ref. [2]http://www.scribd.com/doc/99857981/The-Highest-US-Unemployment-

    Rates-Obama-years-compared-with-historic-highs-in-Unemployment-levels. The

    slope h = 0.0946 is therefore akin to a universal constant of nature, or at the very

    least a unique property of the US economy.

    All of the US unemployment data can thus be explained by merely postulating a

    change in values of the constant c. A series of parallels with the general equation y

    = 0.0946x + c, with various values of c sweep through the data. The unemployment

    level (y) falls when c decreases and rises when c increases. When the constant c

    decreases, the cut-off labor force x0 = - c/h increases and more will be employed.

    The constant c is just like the work function W introduced by Einstein in 1905 toexplain certain puzzling aspects of the photoelectric effect (which engaged the

    attention of physicists of the late 19th

    and early 20th

    centuries) and x0 is just like the

    cut-off frequency f0. The photoelectric law can be written as K = EW = hfW =

    h(ff0). This is exactly analogous to the linear y = hx + c = h(xx0). The reader is

    referred to the article cited above for more details.

    Are these findings, unique to the United States, or will we see exactly similar

    trends in other technologically advanced economies, such as Australia, UK, Japan,

    Germany, and other European economies? However, the observations just maderegarding the USA suggest that we must look for unique points in the historical

    unemployment datafor the highest unemployment levels, or may be even the

    lowest unemployment levels. The constants h and c have unique values for a given

    economic system and this property is only revealed under these special conditions.

    http://www.scribd.com/doc/99857981/The-Highest-US-Unemployment-Rates-Obama-years-compared-with-historic-highs-in-Unemployment-levelshttp://www.scribd.com/doc/99857981/The-Highest-US-Unemployment-Rates-Obama-years-compared-with-historic-highs-in-Unemployment-levelshttp://www.scribd.com/doc/99857981/The-Highest-US-Unemployment-Rates-Obama-years-compared-with-historic-highs-in-Unemployment-levelshttp://www.scribd.com/doc/99857981/The-Highest-US-Unemployment-Rates-Obama-years-compared-with-historic-highs-in-Unemployment-levelshttp://www.scribd.com/doc/99857981/The-Highest-US-Unemployment-Rates-Obama-years-compared-with-historic-highs-in-Unemployment-levelshttp://www.scribd.com/doc/99857981/The-Highest-US-Unemployment-Rates-Obama-years-compared-with-historic-highs-in-Unemployment-levels
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    Table 1: Monthly Australian unemployment data

    Month Month

    No.

    Labor force,

    x (millions)

    Unemployed, y

    (millions)

    Unemployment

    rate %, 100(y/x)

    Jan-11 1 12.0325 0.6079 5.052Feb-11 2 12.04 0.6001 4.984

    Feb-11 2 12.0478 0.6041 5.014

    Mar-11 3 12.0432 0.5947 4.938

    Mar-11 3 12.0329 0.5917 4.917

    Apr-11 4 12.0318 0.5857 4.868

    May-11 5 12.0332 0.5895 4.899

    Jun-11 6 12.0366 0.5891 4.894

    Jul-11 7 12.0519 0.6123 5.081

    Aug-11 8 12.0602 0.6203 5.143

    Sep-11 9 12.0808 0.6333 5.242Oct-11 10 12.0928 0.6395 5.288

    Nov-11 11 12.0763 0.634 5.250

    Dec-11 12 12.0743 0.6342 5.252

    Jan-12 13 12.0704 0.6268 5.193

    Feb-12 14 12.0696 0.625 5.178

    Mar-12 15 12.0912 0.6176 5.108

    Apr-12 16 12.0984 0.6142 5.077

    Apr-12 16 12.1188 0.618 5.100

    May-12 17 12.1287 0.6217 5.126May-12 17 12.1328 0.6158 5.075

    Jun-12 18 12.1404 0.6228 5.130

    More than one (x, y) values are obtained for a month due to revisions being

    made to the tables. Some of these are included here.

    Are these findings, unique to the United States, or will we see exactly similar

    trends in other technologically advanced economies, such as Australia, UK, Japan,

    Germany, and other European economies? However, the observations just made

    regarding the USA suggest that we must look for unique points in the historicalunemployment datafor the highest unemployment levels, or may be even the

    lowest unemployment levels. The constants h and c have unique values for a given

    economic system and this property is only revealed under these special conditions.

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    3. Unemployment Diagrams

    Nonetheless, a preliminary analysis of the monthly data starting January 2011 is

    presented here to show that new insights can be gained by careful study of the x-yunemployment diagrams, instead of only focusing on the unemployment rate, y/x.

    Figure 4: The x-y unemployment diagram for Australia based on the monthly data,

    for the period January 2011 to June 2012.

    In the unemployment diagram of Figure 4, the monthly data separates itself clearlyinto two periods with the most of the data for 2011 falling along the line with the

    steeper slope (h = 1.044). The procedure used to determine these slopes will be

    discussed shortly. The lowest unemployment level (0.5857 million) was in April

    2011 and the highest (0.6395 million) in Oct 2011. The unemployment levels were

    dropping between Dec 2011 and March 2012 and then started climbing again, see

    0.56

    0.58

    0.60

    0.62

    0.64

    0.66

    12.00 12.04 12.08 12.12 12.16 12.20

    y = 0.205x 1.863= 0.205 x 9.099

    y = 1.044x 11.98= 1.044 x 11.47

    Labor force, x [millions]

    Unemployed,y[millions]

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    Figure 5 which highlights this most recent trend separately, without distraction

    from the 2011 data.

    Figure 5: The x-y unemployment diagram for Australia, based on monthly data, for

    the period Jan 2012 to June 2012. Between April 2012 and June 2012, the labor

    force increased from 12.0984 million to 12.1404 million (x = 0.042) and the

    unemployed increased from 0.6142 million to 0.6228 million (y = 0.0086). Hence

    the slope h = y/x = 0.205 and the equation of the straight line joining these two

    points is y = 0.205x1.863. This reveals the most recent trend nicely. The two (x,

    y) pairs for April 2012 and May 2012 obtained from ABS website (revisions made

    from month-to-month releases) are both plotted here. The Jan and Feb data, with

    the two lowest labor force values, fall well above the operating line shown here.

    The unemployment level decreased between Jan 2012 and March 2012 and then

    started increasing again.

    0.605

    0.610

    0.615

    0.620

    0.625

    0.630

    12.06 12.08 12.10 12.12 12.14 12.16

    Labor force, x [millions]

    Unemploy

    ed,y[millions]

    y = 0.205x 1.863= 0.205 x 9.099

    Mar 2012May 2012

    Apr 2012

    May 2012

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    The steep slope h = 1.044 in Figure 4 and the corresponding intercept c = -11.97

    were determined using a straightforward linear regression analysis, considering 13

    (x, y) pairs between Jan 2011 and Feb 2012 (the data for Jan 2011, Sep 2011 and

    Oct 2011 were excluded). These 13 (x, y) pairs can be seen to lie approximately

    on a straight line. The slope h and intercept c for the best-fit line are readilydetermined. The linear regression coefficient r

    2= 0.981 is very high.

    Other values of h and c can obviously be determined by choosing other (x, y) pairs.

    For example, consider the Jan 2011 and Oct 2011 data. The labor force increased

    by x = 0.0287 million and the number of unemployed increased by y = 0.0316

    million. Hence, the slope h = y/x = 0.0315/0.0287 = 1.0998 > 1 since the rate of

    increase of unemployed exceeded the rate of increase in the labor force. The slope

    h = 1.044, determined from 13 (x, y) pairs from this period, confirms this general

    trend. Other values suggesting h > 1 in 2011 can also be determined.

    Nonetheless, the finding h > 1 during 2011 is quite significant and highlights the

    recent improvement, with h = 0.205 < 1, see Figure 5. In the recent months, the

    unemployment rate has again been increasing with the increase in the labor force

    but the number of unemployed y is now increasing at a lower rate. For example,

    between March 2011 and June 2012, the labor force increased by x = 0.1075 but

    the number of unemployed increased only by y = 0.0311 and h = 0.289. Between

    May 2012 and June 2012, x = 0.0076 and y = 0.007 which yields h = y/x =0.007/0.0076 = 0.921 (the higher slope) which is lower than 1. For these same two

    months we also get, h = 0.094, which is significantly lower than 1, if we use the

    higher unemployed for May 2012 (different values in successive ABS monthly

    reports). Nonetheless, the unemployed y has clearly been increasing at a much

    lower rate (with increase in labor force) in recent months compared to 2011.

    This general improvement in the economic conditions is, however, not revealed if

    we only focus on the unemployment rate, y/x. If so, why did the unemployment

    rate go up between say March 2012 and June 2012?

    Let us consider again by referring to both Figures 5 and the theoretical calculations

    in Figure 6. A nice upward linear trend is revealed in the x-y plot. Consider the

    months of April 2012 and June 2012. The straight line joining these two data

    points has the equation y = 0.205x1.863 = 0.205(x9.099). However, this graph

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    does not pass through the origin (0, 0). The intercept c = -1.863 is nonzero which

    also means that there is a finite labor force x0 = - c/h = 1.863/0.205 = 9.099 million

    below which the number of unemployed will go to zero. More importantly, the

    non-zero intercept c means the unemployment rate, taken as the ratio y/x = 0.205

    (1.863/x) is made up two parts: the constant part which equals the slope h = 0.205and a variable part which depends on the size of the labor force x. Since c < 0, the

    unemployment rate y/x, as now being calculated, will keep on increasing as

    the labor force x increases, assuming no change in the current economic

    conditions.

    Figure 6: Theoretical calculations for the unemployment rate y/x based on the

    linear law y = hx + c, for the most recent months, March 2012 to June 2012. Forthese months, y = 0.205x1.863. Since the slope h is positive and the intercept c is

    negative, the ratio y/x will keep on increasing with increasing labor force x, as

    shown here. The graph appears linear since we are looking at small changes in

    labor force. The actual graph is a rising hyperbola with the maximum value of y/x

    = h = 0.205 (see also Figure 8).

    0.0490

    0.0495

    0.0500

    0.0505

    0.0510

    0.0515

    0.0520

    0.0525

    11.95 12.00 12.05 12.10 12.15 12.20 12.25

    Labor force, x [millions]

    Unemploymentrate,y/x(fractional)

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    The theoretical predictions for y/x = h + (c/x) = 0.205(1.863/x), based on the

    linear law y = 0.205x1.863, are shown in Figure 6 with the data points for recent

    months superimposed on to this graph. The theoretical curve y/x = h + (c/x) is

    actually a rising hyperbola. It appears to be a straight line here because of the

    rather small range of labor force x values. The hyperbola is more apparent inFigure 8, to be discussed shortly, where we consider the effect of higher labor

    force x on the unemployment rate, y/x, specifically the 6% projected for 2013 by

    some economists who are already sounding alarm bells.

    Notice also that fractional values (rather than percentages) are used in the vertical

    axis for the unemployment rate, y/x. Thus, 5% unemployment rate means y/x =

    0.05 and 5.2% means y/x = 0.052, and 6% means y/x = 0.06, and so on.

    Table 1A (extract): Monthly Australian unemployment data

    Month Month

    No.

    Labor force,

    x (millions)

    Unemployed, y

    (millions)

    Unemployment

    rate %, 100(y/x)

    Feb-11 2 12.04 0.6001 4.984

    Feb-11 2 12.0478 0.6041 5.014

    Mar-11 3 12.0432 0.5947 4.938

    Apr-11 4 12.0318 0.5857 4.868

    Between Feb-11 and Apr-11, x = - 0.0082 and y = - 0.0144. Both changes are

    negative, yielding a positive slope h = y/x = 1.756 > 1. The labor forcedecreased but the unemployed decrease even more.

    Table 1B (extract): Monthly Australian unemployment data

    Month Month

    No.

    Labor force,

    x (millions)

    Unemployed, y

    (millions)

    Unemployment

    rate %, 100(y/x)

    Feb-11 2 12.04 0.6001 4.984

    Mar-11 3 12.0432 0.5947 4.938

    Apr-11 4 12.0318 0.5857 4.868

    Jun-11 6 12.0366 0.5891 4.894

    Jul-11 7 12.0519 0.6123 5.081

    Between Mar-11 and Jul-11, x = 0.0087and y = 0.0176. Both changes are

    positive,yielding a positive slope h = y/x = 2.023 > 1. The labor force

    increased but the unemployed increased even more. Between Jun-11 and Jul-11,

    the labor force again increasedx = 0.0153 and the unemployed also increased

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    y = 0.0232 and the slope h =y/x = 1.52 > 1. These points lie on the dashed

    line with a positive slope h > 1.

    Finally, we see an interesting pattern of back and forth movement along lines with

    a positive slope h > 1 if we consider a small section of the data for 2011, Figure 7.Between Feb 2011 and April 2011, the movement was down the line with a

    positive slope h > 1, see Table 1A. We see the unemployed level decreasing with

    decreasing labor force, but at a high rate with h > 1.

    Figure 7: Back and forth movement on the x-y unemployment diagram for

    Australia, based on monthly data, for the period Mar 2011 to Jul 2011. Asdiscussed in the text, with reference to data extracts in Tables 1A and 1B, a

    positive slope h > 1 is observed with both increasing unemployed and decreasing

    unemployed. This local observation confirms the overall trend of h > 1 for 2011

    deduced earlier by linear regression analysis by considering 13 (x, y) pairs.

    0.54

    0.55

    0.56

    0.57

    0.58

    0.59

    0.6

    0.61

    0.62

    0.63

    0.64

    12.02 12.025 12.03 12.035 12.04 12.045 12.05 12.055 12.06

    Labor force, x [millions]

    Une

    mployed,y[millions

    ]

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    The slope h > 1 observed here suggests extremely stressful conditions for those

    who are seeking employment, with job losses (increasing unemployed) occurring

    after very short periods of job gains (decreasing unemployed). If the speculation

    here is true, this situation deserves more careful study by sociologists and those

    specializing in unemployment studies. Both employers and employees stand togain when stable conditions prevail. Rapid fire job gains and losses are not

    desirable. It is obviously important to ensure a healthy economy.

    4. Unemployment rate of 6% in 2013

    As noted already, since the labor force x and the number of unemployed y are

    related by the linear law, y = hx +c, the unemployment rate y/x will vary as the

    labor force x following the hyperbolic law, y/x = h + (c/x). For h > 0 and c < 0, this

    is a rising hyperbola with y/x increasing to it maximum value of h when the labor

    force x becomes very large.

    The calculations presented in graphical form in Figure 8 are of interest since they

    reveal this theoretical hyperbolic curve, y/x = 0.205(0.186/x) for the most recent

    Australian unemployment data. All of the monthly data points for 2012 are nowclustered and collapse into what appears to be a single point on this hyperbola.

    This also means that if present economic conditions prevail (i.e., no changes in h

    and c), the projected increase in unemployment rate to 6% in 2013 implies that the

    labor force must increase to about 13 million from the current level of 12.15

    million. This also means that the economy must be able to create additional jobs,

    since the labor force is the sum of both the employed and the unemployed.

    This is a subtle and very important, but overlooked, aspect of the projectedincreases in the unemployment rate to 6%. One cannot simply have unemployment

    increasing from 5.1% to 6% without a concomitant increase in both the labor force

    and the number of employed persons. The consequences of such a drastic increase

    in unemployment rate to 6% - without an increase in labor force or the number of

    employed personsare simply too horrendous to imagine!

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    Figure 8: The theoretical rising hyperbola for unemployment rate, deduced from

    y/x = h + (c/x) = 0.205 (1.863/x). For 6% unemployment rate, the labor forcemust increase to about 13 million. This also means the economy must be able to

    create additional jobs since labor force equals the sum of the employed and the

    unemployed.

    0

    0.01

    0.02

    0.03

    0.04

    0.05

    0.06

    0.07

    0.08

    8 9 10 11 12 13 14 15 16Unemploymentrate,y/x(fractional)

    Labor force, x [millions]

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    5. Summary and Conclusions

    In summary, it is clear now that the simple linear law y = hx + c = h(xx0) relates

    the labor force x and the unemployment level y. The numerical values of the

    constants h and c can be deduced from the monthly (or quarterly, or annual) data.

    However, as discussed earlier with the US unemployment data, it appears that

    considering all of the historical data for a country will yield some unique insights

    into the numerical values of the two constants and how the cut-off labor force x0 =

    - c/h changes as economic conditions change.

    As economists have warned, the current unemployment statistics masks the real

    problemthe baby boomers who are retiring and the youth who have chosen to

    stay longer in school. Both these factors imply that the labor force x is now

    artificially low and will increase soon, may be in 2013. Hence, it is widely believed

    that the unemployment rate will increase.

    A review of all of the available historical data for Australia, using

    the x-y unemployment diagrams, as suggested here, is therefore

    extremely important to fully understand a key aspect of the growing

    Australian economy. Perhaps, sound economic policies that promote

    an increase in the cut-off labor force (reduce unemployment) can be

    devised as we understand the implications of this universal law that

    has escaped attention to date.

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    Appendix 1: Highlights of Recent News Items

    on Australian Unemployment Rates

    http://www.businessspectator.com.au/bs.nsf/Article/Unemployment-rate-set-to-climb-higher-

    economists-pd20120716-W9NTC?OpenDocument

    Unemployment rate set to climb: economistsPublished 4:36 AM, 17 Jul 2012 Last update 4:36 AM, 17 Jul 2012

    QUICK SUMMARY| FULL STORY |ECONOMY

    A Macquarie senior economist has warned that Australia's unemployment rate could topsix per cent in 2013, saying that the country's jobless rate is rising faster than officialfigures indicate, according to Fairfax Media.

    Macquarie's Brian Redican said that baby-boomer retirements and stay-at-school youthare masking the troubling outlook for employment.

    Australian unemployment up to 5.2%http://www.google.com/hostednews/afp/article/ALeqM5hn0xh_FZaBgxbTn-

    qfOEGSkPPsjw?docId=CNG.f5f076923056409682365dbb1aa2e343.231

    (AFP)6 days ago (as of today July 18, 2012)

    SYDNEYAustralia's unemployment rate rose to 5.2 percent in June, data showed Thursday,

    with the economy shedding 27,000 jobs as global uncertainty and the strong Australian dollarweighed on employers.

    Prime Minister Julia Gillard said the numbers remained robust compared with other advanced

    economies.

    "By the standards of the world we continue to have a low unemployment rate," she toldreporters.

    "When I sit at that G20 table and talk to my counterparts from around the world... they would

    literally do anything to have the same economic story and statistics as Australia."

    http://www.businessspectator.com.au/bs.nsf/Article/Unemployment-rate-set-to-climb-higher-economists-pd20120716-W9NTC?OpenDocumenthttp://www.businessspectator.com.au/bs.nsf/Article/Unemployment-rate-set-to-climb-higher-economists-pd20120716-W9NTC?OpenDocumenthttp://www.businessspectator.com.au/bs.nsf/Article/Unemployment-rate-set-to-climb-higher-economists-pd20120716-W9NTC?OpenDocumenthttp://www.businessspectator.com.au/bs.nsf/Article/Unemployment-rate-set-to-climb-higher-economists-pd20120716-W9NTC?OpenDocument&rf=shttp://www.businessspectator.com.au/bs.nsf/Article/Unemployment-rate-set-to-climb-higher-economists-pd20120716-W9NTC?OpenDocument&rf=shttp://www.businessspectator.com.au/bs.nsf/fmISHome?OpenForm&is=Economyhttp://www.businessspectator.com.au/bs.nsf/fmISHome?OpenForm&is=Economyhttp://www.businessspectator.com.au/bs.nsf/fmISHome?OpenForm&is=Economyhttp://www.google.com/hostednews/afp/article/ALeqM5hn0xh_FZaBgxbTn-qfOEGSkPPsjw?docId=CNG.f5f076923056409682365dbb1aa2e343.231http://www.google.com/hostednews/afp/article/ALeqM5hn0xh_FZaBgxbTn-qfOEGSkPPsjw?docId=CNG.f5f076923056409682365dbb1aa2e343.231http://www.google.com/hostednews/afp/article/ALeqM5hn0xh_FZaBgxbTn-qfOEGSkPPsjw?docId=CNG.f5f076923056409682365dbb1aa2e343.231http://www.google.com/hostednews/afp/article/ALeqM5hn0xh_FZaBgxbTn-qfOEGSkPPsjw?docId=CNG.f5f076923056409682365dbb1aa2e343.231http://www.google.com/hostednews/afp/article/ALeqM5hn0xh_FZaBgxbTn-qfOEGSkPPsjw?docId=CNG.f5f076923056409682365dbb1aa2e343.231http://www.businessspectator.com.au/bs.nsf/fmISHome?OpenForm&is=Economyhttp://www.businessspectator.com.au/bs.nsf/Article/Unemployment-rate-set-to-climb-higher-economists-pd20120716-W9NTC?OpenDocument&rf=shttp://www.businessspectator.com.au/bs.nsf/Article/Unemployment-rate-set-to-climb-higher-economists-pd20120716-W9NTC?OpenDocumenthttp://www.businessspectator.com.au/bs.nsf/Article/Unemployment-rate-set-to-climb-higher-economists-pd20120716-W9NTC?OpenDocument
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    Australia Unemployment Rate

    http://www.tradingeconomics.com/australia/unemployment-rate

    The unemployment rate in Australia was last reported at 5.2 percent in June of2012. Historically, from 1978 until 2012, Australia Unemployment Rate averaged

    7.0 Percent reaching an all time high of 10.9 Percent in December of 1992 and a

    record low of 4.0 Percent in February of 2008. The unemployment rate can be

    defined as the number of people actively looking for a job as a percentage of the

    labour force. This page includes a chart with historical data for Australia

    Unemployment Rate.

    http://www.tradingeconomics.com/australia/unemployment-ratehttp://www.tradingeconomics.com/australia/unemployment-ratehttp://www.tradingeconomics.com/australia/unemployment-rate
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    About the author

    V. Laxmanan, Sc. D.

    The author obtained his Bachelors degree (B. E.) in Mechanical Engineering from

    the University of Poona and his Masters degree (M. E.), also in Mechanical

    Engineering, from the Indian Institute of Science, Bangalore, followed by a

    Masters (S. M.) and Doctoral (Sc. D.) degrees in Materials Engineering from the

    Massachusetts Institute of Technology, Cambridge, MA, USA. He then spent his

    entire professional career at leading US research institutions (MIT, Allied

    Chemical Corporate R & D, now part of Honeywell, NASA, Case Western Reserve

    University (CWRU), and General Motors Research and Development Center in

    Warren, MI). He holds four patents in materials processing, has co-authored two

    books and published several scientific papers in leading peer-reviewed

    international journals. His expertise includes developing simple mathematical

    models to explain the behavior of complex systems.

    While at NASA and CWRU, he was responsible for developing material processing

    experiments to be performed aboard the space shuttle and developed a simple

    mathematical model to explain the growth Christmas-tree, or snowflake, like

    structures (called dendrites) widely observed in many types of liquid-to-solid phasetransformations (e.g., freezing of all commercial metals and alloys, freezing of

    water, and, yes, production of snowflakes!). This led to a simple model to explain

    the growth of dendritic structures in both the ground-based experiments and in the

    space shuttle experiments.

    More recently, he has been interested in the analysis of the large volumes of data

    from financial and economic systems and has developed what may be called the

    Quantum Business Model (QBM). This extends (to financial and economicsystems) the mathematical arguments used by Max Planck to develop quantum

    physics using the analogy Energy = Money, i.e., energy in physics is like money in

    economics. Einstein applied Plancks ideas to describe the photoelectric effect (by

    treating light as being composed of particles called photons, each with the fixed

    quantum of energy conceived by Planck). The mathematical law deduced by

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    Planck, referred to here as the generalized power-exponential law, might actually

    have many applications far beyond blackbody radiation studies where it was first

    conceived.

    Einsteins photoelectric law is a simple linear law, as we see here, and wasdeduced from Plancks non-linear law for describing blackbody radiation. It

    appears that financial and economic systems can be modeled using a similar

    approach. Finance, business, economics and management sciences now essentially

    seem to operate like astronomy and physics before the advent of Kepler and

    Newton.

    Cover page of AirTran 2000 Annual Report