Wednesday, December 1, 2021

Dobbs vs. Jackson Women's Health Organization

 

My Country ‘Tis of Thee

My country, 'tis of thee,
Sweet land of liberty,
Of thee I sing;
Land where my fathers died,
Land of the pilgrims' pride
From ev'ry mountainside
Let freedom ring!

Is the freedom to have an abortion protected by the Constitution?

“Render unto Caesar the things that are Caesar’s, and unto God the things that are God’s”.  In the SCOTUS case concerning abortion,  the Supreme Court is NOT being asked to act as God, but it is being asked to act as Caesar.

IMHO, this opinion should not be decided on precedent.  It should also not rely on beliefs, no matter how popular.  It should not rely on whether the opinion might inconvenience any parties.  It should not rely on whether those actions were common law at the time the Constitution was adopted. It should rely on the US Constitution, and solely on the US Constitution, SCOTUS is NOT charged with being an activist who can invent rights not defined in the Constitution.

The Constitution defined that the people are its sovereign. That is what makes the experiment that began over 200 years ago so unique, that the subjects of a sovereign would BE the sovereign.   The subjects, the citizens of the States that were being United through ratification of the Constitution, did not ratify it without assuring that the Bill of Rights defined the rights of each person, to eliminate any confusion between rights of individual subjects and rights of the sovereign.  Those rights are enumerated to include, for the individual, freedom of speech, freedom of religion, freedom to assemble, freedom from unreasonable searches and seizures, and, especially pertinent in this case before SCOTUS, protection against actions by the sovereign unless the sovereign renders reasonable compensation.

When disputes arise between subjects of the sovereign, then the SCOTUS is charged with determining which subject’s rights prevail.  However the issue before the court is who is a subject.  In the Mississippi case, the state of Mississippi acting through its legislature, is clearly a subject. Those women who seek an abortion are clearly subjects.  Those women are carrying fetuses, and those fetuses may, or may not, be subjects.

The Constitution requires a decennial Census of its subjects to determine, among other things, voting representation.  The question of citizenship should thus be whether the Census, as required by the Constitution, considers a fetus to be a subject, i.e. a citizen.  Children are counted in the Census.  They are subjects, citizens, but do not yet have the right to vote.  Children who are born and die, between decennial Censuses are not enumerated, but they are still considered to be subjects, persons, because at the time of a Census they would have been enumerated.   The Census does not count fetuses.  Fetuses are children who have not yet been born.  SCOTUS has determined,  rightly IMHO,  that fetuses who are viable outside of the womb, are persons and have the same status as children who are born and die between decennial Censuses.  The question before SCOTUS is whether fetuses who are NOT viable outside of the womb are subjects. If they are not subjects, then laws giving special protections to those non viable fetuses, without compensation to the women who are carrying those fetuses, would appear to NOT be protected by the Constitution.

If the State of Mississippi required its citizens to take any action without compensation, and that action was not protected by the Constitution, it should be forbidden by the Constitution.  That the action is for non viable fetuses does not make that action Constitutionally protected, unless those fetuses also have rights under the Constitution. The Court has previously decided that, under the Constitution, those non viable fetuses have no protected rights.  I would hope that SCOTUS continues to uphold this principle.

The personhood of fetuses who are NOT viable outside of the womb is a matter of opinion and belief, e.g. a matter for God.  The status of those non viable fetuses with respect to the Constitution is the matter that is before the court.  Render unto Caesar the things that are Caesar’s.  Do not grant a right to those fetuses that is NOT listed in the Constitution. Unless there is a Constitutional Amendment which establishes that non viable fetuses are persons, the decision of SCOTUS should, IMHO, be clear. A decision by SCOTUS that a non viable fetus is not a person will not be popular with many. But just as paying taxes to Caesar was not popular,  the question is not popularity, but whether the issue is Caesar’s, i.e. the Constitution's, and not God’s.

Tuesday, November 30, 2021

Income Taxes

 

I Paid My Income Tax Today

I said to my Uncle Sam
Old Man Taxes, here I am
And he
Was glad to see me
Mister Small Fry, yes, indeed
Lower brackets, that's my speed
But he
Was glad to see me

The rate in a tax bracket is the marginal rate, not the effective rate.

There is a world of difference between speed and acceleration.  We understand that acceleration is important for sprints, but speed is important for marathons. And there is just as much difference between the marginal tax rate (analogous to acceleration) and the effective tax rate (analogous to speed). No one expects a National Association for Stock Car Auto Racing, NASCAR, vehicle to win a drag race against a National Hot Rod Association, NHRA, vehicle.  And no one expects a NHRA vehicle to beat a NASCAR vehicle at the Daytona 500.  The tax brackets are only a way to compute taxes.  The rates cited in those brackets are NOT effective tax rates.

If marginal tax rates were uniformly zero, there would be a flat tax rate.  This would NOT be a  progressive tax rate, which mathematically would be described as a convex function.  By contrast regressive taxes, which decrease with increasing income  mathematically would be described as a concave function.

Math is hard.  But the answer is not to make math fit our expectations. Votes to make Pi equal to 3, (Don’t laugh.  In 1897, the Indiana State Legislature considered such a law) because the value of Pi is hard to remember might be  tempting. But such a law would result in computing the circumference and area of a circle incorrectly.  The correct course should be to change our expectations to fit the rules of math, not vice versa. 

For example the marginal rate for the 2020 married filing separately tax bracket for incomes from $207,350 to $311,025 is 35%, but the effective tax rate varies from 23% to 27%. Mistaking the marginal rate for the effective rate could lead to mistakes in policy.

The effective tax rates are progressive, which is necessary but not sufficient in determining if they are equitable.  The effective tax rates should also reflect the distribution of income.  The US Census reports on the distribution of incomes by quintile.  The distribution of incomes appears to follow an exponential function.  The taxes, and thus the tax rates, should also follow this distribution.  If the mean tax rate, say 20%, is set then the maximum tax rate can be computed from this distribution of income. The formula for the taxes which reflects the distribution of incomes is

Taxes=Income*Maximum Tax Rate*(1-exp (-Income/(Transient-Income))) 

If the distribution of income exactly followed an exponential distribution (not function) then the transient income would also be the mean income.  In this were the case, then the median income would be would be 69% of the mean income.  The maximum rate is not higher than the mean tax rate, because there is a bias against those with higher incomes.  It is the inevitable result of a progressive tax system.  With a progressive tax rate, the only way the mean rate could be the same rate for all incomes, is if ALL incomes were equal to the mean.  The maximum tax rate is a consequence of all incomes not being equal and that there are high incomes and low incomes.  The greater the variance in income, mathematically, the higher the maximum tax rate must be.  As Willie Sutton, the bank robber, once said, he did not rob banks because he had a vendetta against banks. He robbed banks because that is where the money is. If taxes on the rich are high then that is because they are rich, not because the tax system has a vendetta against the rich.


Wednesday, November 24, 2021

Nature

 It's Nature's Way

It's nature's way of receiving you
It's nature's way of retrieving you
It's nature's way of telling you
Something's wrong

What is nature trying to tell us?

Nature is a strict mistress.  While humans may be able to choose a spectrum between User and Optimal solutions, chose a spectrum between Truth and Fantasy and choose a spectrum between Inclusion or Exclusion, Nature has come out very strongly for System Optimal solutions, for Truth, and for Inclusion.

Nature not only favors System Optimal Solutions, but its System Optimal solutions must be efficient AND resilient.  Texas might have thought that it had an efficient electrical system, but how did Texas like that the winter storm that Nature provided in February of 2021. Texas’s electrical system might have been efficiently System Optimal  as long as “normal” temperatures continued, but it wasn’t very resilient in the cold, was it.

Nature insists on Truth.  It does not treat liars very kindly.  Individuals can deny climate change all that they want.  There may have been species, that if they have been able, that would have denied climate change and yet still became extinct during the end of Permian mass extinction because  of climate change.  “And yet it moves.”  The Truth is the Truth,  deal with it.

Nature is very, very inclusionary.  It does not consider Caste and/or social status, even if humans may value them.  Former President Trump contracted COVID-19 just as readily as the lowest ranked person in society.  He was NOT excluded by Nature, even if he though he wished he had been.

While humans are free to choose where they fall on the Spectrum of a framework human behavior,  Nature, or if you are religious, God, seems to have already expressed choices.

Monday, November 22, 2021

Tax Brackets

Won't Get Fooled Again

Then I'll get on my knees and pray
We don't get fooled again, no, no

Have we been fooled in the tax rates?

A  change in the range of the brackets in the Tax Cuts and Jobs Act, TCJA, without changing the marginal rates in the TCJA, would lower the tax rate for most incomes. Incomes are not equal, but are distributed according to an exponential function.  Taxes should be expected to follow that same exponential function. The effective, not the marginal, tax rate is taxes divided by the income.  A flat tax rate assumes that all incomes are equal.  So country to popular wisdom, a flat tax is a communistic approach, not a free market approach.

Math is hard.  The Orange Menace’s son made the statement in the past that raising the average (i.e. mean) wealth raises everyone’s wealth because that is how math works.  It prompted a blog post from me https://dbeagan.blogspot.com/2018/08/wonderful-world-dont-know-much-about.htmlbecause unless DJT Jr. was either hungover again in class at UPenn’s Wharton Business School and did not hear correctly,  this is different from the math that I learned, and used, as a graduate student down the street at UPenn’s Towne School of Engineering.  The statement is definitely false.  Whether it is false in a effort to deceive, or false because the speaker was ignorant, I can’t say, but the apple does not fall far from the tree.  The problem is that “Math is Hard” and people get the terms wrong, and people deal with linear equations better than with non-linear equations.

The tax code is one place where the difference between a linear and non-linear equation has dire consequences.  Because a nonlinear equation is hard to compute, when dealing with these equations, it is common to approximate the nonlinear function by a series of linear functions.  But you have to approximate correctly or it will not work correctly.

When approximating an exponential association, such as the tax rate, it is common to use a series of linear equations (e.g. tax brackets).  But math has rules. If you are approximating an exponential association, the range of those linear equations MUST BE EQUAL.  For example, if as in the TCJA, the top bracket is incomes over $539,000 ( $628,300 if married and filing jointly), then the range of the brackets should NOT be variable, but should be equal to the top range divided by the number of brackets minus one ( $89,833, or $104,717 if married and filing jointly).
 
The implication is that the constant term in the linear equation is lower for each tax bracket in the TCJA than it should be. I would like to assume that this was done from ignorance.  And this is the same ignorance that is shown when people are surprised that doubling the diameter of a cake quadruples the amount of a cake, not realizing the amount of a cake is a non-linear function of the diameter of a cake. But  this was done by the same “fine” individuals who also proposed the Texas Abortion Law, which was carefully crafted so that no government officials could be sued, and it has been going on for the last 40 years.   I have to conclude that the taxpayer is Lou Costello and the TCJA Tax Code authors are Bud Abbott, and those authors are taking advantage of poor Lou again.  https://www.youtube.com/watch?v=9udNrOh5DyA.



As shown in the figure above, computing tax brackets correctly will lower the effective tax rate for all incomes, but the lowering is proportionally larger for lower incomes.  This may mean also mean that marginal tax rates have to be raised in order to raise the same amount of total tax revenue, but  there are ways to do this that are  mathematically correct, and hopefully we have learned from our mistakes and won't get fooled again.

Wednesday, November 17, 2021

Distribution of Income

 

Good Morning Judge

I filed my income tax return, thought I'd saved some dough
I cheated just a little bit, I knew they'd never know
I got some money back this year, like I always do
They'll have to catch me before I pay Internal Revenue!

When you file, will there be the same flat tax rate in all income brackets?

A flat tax on income is socialist, if socialism is defined as everyone having the same income.  That is not my definition of socialism, but it is the definition of many.

The degree of the variation is a statistical measure called the..... variance.  If everyone had the same income, then the variance of income would be zero.  A flat tax rate, the same percentage of tax on everyone, also has a variance of zero.  If there is a distribution of income, then if there should also be a distribution of taxes on that income, then its variance could not be zero.

A uniform normal distribution is one in which the variance is 1.0, for example the familiar bell‑shaped curve. The phrase “Flatten the curve” became familiar during the COVID-19 pandemic.  It  means that the normal distribution of COVID-19 cases requiring hospitalization remained the same,  but its variance increased.  A normal distribution is one in which the median equals the median (where these values are also equal to a seldom used statistic, the mode). Flattening the curve is still a normal distribution but it was no longer a uniform normal distribution. 

A normal distribution requires the consideration of negative values.  It is common not to report negative incomes ( negative incomes could include donations, debt, etc. but those are not often considered to be income).  A distribution which does not allow negative values is the exponential distribution.  In this case the median does not equal the median, but the mean is a constant factor of the median.  In an exponential distribution, the mean is always 1.44 times the median.  The variance of an exponential distribution is by definition equal to its mean.

An exponential function is NOT an exponential distribution.

An exponential function is

a*e -bx

An exponential distribution is the special case where a=b, which is traditionally expressed using  γ, where the exponential distribution probability function is

γ*e-γx

In an exponential distribution  the mean is 1/γ, the variance is also 1/γ , and the median is ln(2)⁄γ, or 0.69 * mean, or its inverse, mean = 1.44 * median. The variance of all exponential functions can be described.  It is at a minimum when the mean is the variance, which is the exponential distribution.

Any large collection of independent objects can be expected to follow an exponential function when their cumulative values are reported.  Individual incomes in the United States appear to follow an exponential function.  Prior to 1980, the distribution of incomes as reported by the US Census was highly correlated with the exponential distribution. These incomes were not equal.  If the taxes on this income followed the same distribution, it also could not be equal unless all incomes were also equal.  Allowing for a distribution of taxes, not a flat tax rate, considers this distribution of income.  A flat tax rate considers no variation in the distribution of income.  If individual incomes are not equal, then the distribution of taxes, which is what the tax rate is, should also not be equal.

Incomes in the United States prior to 1980 correlated well with an exponential distribution, especially at the higher incomes, and less well for lower incomes.  After 1980, the incomes follow an exponential function, but not an exponential distribution.  The variance in incomes are much larger than the mean income.  The variance in incomes increased between 1980 and 1990, and between 1990 and 2000. There was a set-back between 2000 and  2010, ( it is almost as if there was a recession during this period😏). However between 2010 and 2019 the increase in variance continued the previous trend.  The distribution of incomes have bent, i.e. the variance from an exponential distribution has increased. It has not yet broken yet, but how long is it healthy to continue this trend?















Why?

 

Who Am I?

Who am I?
Can I conceal myself for evermore?
Pretend I'm not the man I was before?
And must my name until I die
Be no more than an alibi?

On the 200th post to this blog, it is probably time to explain the name.

I am a semi-retired traffic engineer/planner.  One of the questions that I am often asked to answer is  “ How many people would use a particular mode?” One mode is hitchhiking (which the profession would  euphemistically call a shared ride mode).  When hitchhiking  with an outstretched thumb, the question by the Driver to the Hitchhiker, if he intended to offer a ride would be, “Going My Way”.

“Going My Way” is also the name of a 1944 film that won the Oscar for Best Picture   It is the story of a Catholic parish priest played by Bing Crosby (for which he won the Oscar for Best Leading Actor).  Since I attended St Paul’s parochial parish School from grades 1 to 8, it is a safe bet that the nuns teaching at that school held this film and its sequel, “The Bells of St Mary’s”, in high regard. Consequently  I saw “Going My Way”  more than once.  That film also had the Oscar winning Best Song, “Swinging On A Star”.  Because I find it easier to remember a topic if it is associated with a song, I have tried to include some lines from a song before each blog post.

This blog post  has a song from Les Mis, and is dedicated to a former colleague, Kate Fox, whom I think of when I hear any song from Les Mis.

Distribution of Wealth III

You’re a Rich Girl

You're a rich girl, and you've gone too far
'Cause you know it don't matter anyway
You can rely on the old man's money
You can rely on the old man's money

How rich are we? And how rich should we be?

The United States is the wealthiest county on the planet. This is according to the Credit Suisse Global Wealth Databook for 2021 as reported in Wikipedia. Out of the 162 countries, or sub-units of countries, (e.g. Hong Kong and Taiwan are reported as separate sub-units of China), the United States is reported to have a wealth of 126 trillion USD, more than 30% of the world’s reported wealth, more than 168% of wealth of the second‑place country China, and more than 41 times the wealth of Russia. The country with the least wealth is São Tomé and Príncipe in Africa, but that country also only has a reported adult population of 104 thousand as opposed to the US adult population of 249 million, China’s adult population of 1.1 billion and Russia’s adult population of 111 million.,

Reporting the arithmetic mean of wealth per adult (national wealth divided by adult population) normalizes wealth by a country’s population. In this instance, the United States has a mean wealth of $505 thousand per adult, which is second place to Switzerland with a mean wealth per adult of $674 thousand per adult. However this same mean could also occur if all of the wealth is owned by only a few individuals. The median is the wealth at which 50% own more and 50% own less. The median wealth per adult in the United States is $79 thousand, which places it in 26th place, where the highest (first place) median wealth is Luxembourg with a median wealth per adult of $260 thousand. The mean and median wealth, when ranked, both seem to follow an exponential function, If this exponential trend continued, the first-place country should have a median wealth of $166 thousand per adult.

The distribution of wealth is often reported by the Gini coefficient, where a score of 100 indicates that all of the wealth is owned by one individual in a population. The Gini coefficient for the United States is 85.00 which ranks as 24th place. When ranked, only two countries have a high Gini coefficient which does not follow the trend: Brunei with a Gini coefficient of 96.01 and Cameroon with a Gini coefficient of 94.30. The Gini coefficient does seem to show the distribution of wealth, but it does not give an expected normal distribution of wealth. It also shows the two most equitable countries, Iceland with a Gini Index of 50.9 and Slovakia with a Gini Index of 50.3, where 50 indicates an equal allocation of wealth throughout the population.

If the distribution of wealth followed a statistical normal distribution, the median would be equal to the mean. However a normal distribution must also allow for negative values, while wealth will only have positive values. Mean and median wealth appear to follow an exponential function which allows only positive values when ranked.  An exponential distribution is one where the median is 0.69 times the mean. This ratio of the mean to the median for an exponential distribution would be the inverse, 1.44, which is almost the ratio in Iceland and Slovakia.

If the linear trend between the 36th and the 153th ranked country continued, the expected ratio for the highest ranked country would be almost 4.0.  It is suggested that an equitable distribution for the United States thus might be when the median is 4 times the mean. This would suggest that the median wealth per adult, should be $126 thousand, which is $47 thousand higher than the reported amount. Those countries where the median income is less than this expected amount includes, not only the United States, but also Brunei, Bahrain, the United Arab Emirates, Brazil, Ukraine, Russia, Philippines, Lesotho, Laos, Yemen, Kuwait, South Africa, India, Zambia, Saudi Arabia, Nigeria, Botswana, Suriname, and Namibia. This may not be the best company to keep for an equitable distribution of wealth.