Tuesday, June 23, 2015

Guaranteed minimum income

"I care not how affluent some may be, provided that none be miserable in consequence of it." ― Thomas Paine, Agrarian Justice
The concept of guaranteed minimum income—GMI—is relatively self-explanatory.  The government would send periodic payments to households to guarantee a minimum income.  Let's suppose that a program was implemented in which, on average, every person received 6,800 dollars per person per year—this is approximately 100% of the poverty threshold—costing a total of 2.2 trillion dollars.  This program would be difficult to fund.  The government collected 3 trillion dollars in taxes in 2014, but that would probably change when the GMI program is implemented.

There are about 150 million jobs in the United States, which means each job provides, on average, 20,000 dollars in tax revenue.  However, GMI could render minimum wage obsolete.  A large number of jobs would open up, mostly unskilled positions paying a few dollars per hour.  How many is hard to say.  For the sake of argument, let's say a 70% decrease in minimum wage, would lead to a 10% increase in the number of jobs.  The net result would likely be a 66% decrease in taxable wages, if the GMI is not taxed.  Though dubious, my calculations suggest this would cause a 14% decrease in tax revenue.  That is, 2.5 trillion dollars, which would just about cover the costs of the program.

That's not to say that a similar program cannot be implemented.  Giving GMI payments to the bottom 20% of the population would cost less than half a trillion dollars annually—on par with current welfare spending.  Furthermore, solutions such as universal basic income have gained support from both left- and right-wing politicians.

Wednesday, June 17, 2015

Endangered element: indium


Unlike others in the endangered element series, indium use is not dominated by a single application—indium is employed in a number of applications.  For example, the screen you are looking at contains indium in the form of ITO—indium tin oxide—whose semi-conductive properties make it useful for controlling liquid-crystals.  Indium semi-conductors are also useful for thin-film solar panels, LEDs, and electroluminescent materials.  It is also found in solder, sodium vapor lamps, and nuclear control rods.  Truly, it's a versatile metal.

However, indium is relatively rare.  It comprises only 50 parts per billion (ppb) of the Earth's crust. One author compares indium with silver, claiming that silver is less abundant yet produced in higher quantities.  However, silver comprises 70 ppb of the Earth's crust—still quite rare, but about as common as indium.  Furthermore, silver is commonly found in ores, such as argentite.  Indium minerals are uncommon.  Instead, it is extracted from sphalerite—zinc ore—where it has a concentration of 1 to 100 parts per million.  Fortunately, there has been substantial interest in finding substitutes for indium.  Many of these solutions, however, still rely on non-renewable resources, like petrol chemicals or other endangered elements—e.g. gallium arsenide.

Tuesday, June 16, 2015

Cost of electricity

"Why, sir, there is every probability that you will soon be able to tax it." — Michael Faraday on the practical value of electricity
We are living in a period of extraordinarily cheap energy—but exactly how much does energy cost?  Fortunately, Open Energy Information—OpenEI—collected data on the costs for different forms of electricity production.  The problem is that different technologies incur different costs.  A coal plant requires a turbine to be built and maintained, but also require fuel.  Solar panels simply need to be constructed, but then collect energy from the sun without additional fuel inputs.  To take these differences into, we'll use a metric called the levelized cost of electricity—LCOE.  The LCOE is the present value of all the costs involved in operating the electrical plant.

Using the OpenEI data and U.S. energy data, we can compare the relative costs of the energy produced in 2011, for example.
Source LCOE
(USD/MWh)
%
Production
Cost
(b USD)
Hydropower 20 8.0 18.5
Coal,
unscrubbed
40 15.3 70.3
Coal,
scrubbed
50 30.6 175.9
Natural gas 50 19.7 113.4
Geothermal 60 0.4 2.9
Nuclear 60 21.1 145.3
Wind 60 3.0 20.6
Solar,
Photo-voltaic
200 0.4 12.3
Solar,
thermal
280 0.02 0.5
What inferences can be drawn from this?  First, we are likely to use primarily coal  and natural gas power for a long time—they are among the cheapest on the list.  However, because they are so low, they are more likely to increase than to decrease.  This could be driven by increasing fuel prices, but this is likely decades away.  Solar power—particularly, photo-voltaic solar power—could still decrease substantially in cost per megawatt-hour.  It is much easier to go from 200 dollars per MWh to 100 dollars per MWh than it is to go from 20 dollars per MWh to 10 dollars per MWh.  The technology to make cheap solar energy available may soon be widely available.

Thursday, June 11, 2015

Peak oil

"Life without oil, in fact, would be so different that it is frightening to contemplate. We are addicted, and it is no comfortable addiction. Like other drugs, oil comes with a baggage of greed, crime and filth. Worse, it is smothering the planet."  ― James Buchan
Petroleum is a non-renewable resource. The question we need to ask is just how much is left?  A 2013 OPEC report estimated that there are 1.5 trillion barrels of oil in proven reserves in the world.  At the rate the world consumes oil, this will be gone in only 44 years.  In 2014, BP released a report putting the figure at 1.7 trillion barrels, claiming that this will last 53 years.  New oil is continually being discovered, though—oil companies have an incentive to find these new resources.  How long we can keep discovering new oil, however, isn't clear.
Source data via OPEC.
Understanding this chart is difficult—not what it says, but why it says it.  This requires a more detailed study of the history of oil production and the technologies that have driven discovery.  In the past, intermittent bursts of discovery seem to have been the norm.  This appears to have changed in the 1990s, with a lull that has lasted until the present—I am most interested in finding out why.  However, the size of the earth is finite.  The oil we have already found is low hanging fruit—the remaining oil will be difficult to find.  In addition to slowing rates of discovery, the oil industry will also face increased competition from alternative energy and—one may hope—increased pressure from the public for environmental responsibility.  It is likely that the end of oil will not come from dwindling supplies, but from these other causes.

Tuesday, June 9, 2015

Livestock

"It may indeed be doubted, whether butcher's meat is any where a necessary of life." ― Adam Smith, The Wealth of Nations
Anti-microbial resistance poses a threat not only to public health, but also to the meat industry.  In recent years, the process of raising livestock has received some attention from the public.  In some cases this has inspired people to adopt a vegetarian—or vegan—diet, due to concerns over animal cruelty.  In order to meet the enormous demand for meat, farmers need to raise animals in a short amount of time and in as small a space as possible.  As a result, animals are raised in squalor and severely restricted in mobility, making them susceptible to disease.

Antibiotics are necessary to this process, but they are also often misused.  Antibiotics are administered in low doses to many animals to stimulate growth.  This means more meat, which means greater profits for processors.  However, this also creates an environment in which anti-microbial resistance can develop.  80% of antibiotics sold in the United States are sold for use in raising livestock.  This is unsurprising when you look at the numbers of animals kept in the United States: 100 million hogs, 250 million turkeys, 8.6 billion chickens, etc.  This contributes to drug-resistant infections in people, but it is likely to negatively impact the meat industry as well.


Policies could be put in place that curb the consumption of antibiotics.  Animals could also be raised with more space, proper food and exercise.  However, this would undoubtedly cause the prices of meat to rise as well.  Before the advent of industrial farming, meat was expensive.  For example, chickens were raised primarily for laying eggs.  There were no chicken farms.  As a result, poultry was expensive, and was only consumed occasionally.  The meat industry also makes extensive use of marketing—essentially manufacturing demand.  It's unlikely that consumers will change their habits; therefore, farmers are also unlikely to utilize different processes.

Wednesday, June 3, 2015

Endangered element: gallium

Gallium is a metallic element, well known for its low melting point—at 86 degrees Fahrenheit, it will melt in the palm of your hand.  The mechanical properties of gallium make it unsuitable for most manufacturing processes.  In fact, it is even known to weaken steel substantially.  However, its chemical properties lend it to the production of semi-conducting materials.  It is most commonly applied in compounds with arsenic—as gallium arsenide, GaAs—or nitrogen—as gallium nitride, GaN.

Three quarters of gallium is used in integrated circuits.  Gallium arsenide is ideal for semi-conductors that are insensitive to overheating—that is to say, mobile technology, whose compact designs allow waste heat to accumulate.  In the U.S., this accounts for the consumption of 30 tonnes of gallium each year.  If the world consumed gallium at this rate, it would require 750 tonnes of gallium per year.  World production capacity is estimated to be 680 tonnes per year.  As more countries develop, it possible for demand to increase, potentially leading to shortages.

The demand for solar energy will also drive demand for gallium in the coming decades.  In 2014, solar energy provided only 1% of Electricity in the United States.  Photo-voltaic cells that are made with gallium can achieve high-efficiency.  About 30%, compared to 20% efficiency of silicon based solar panels.  In 2014, this required only 700 kilograms in the United States; however, a hundred-fold increase would push this to 70 tonnes.  Again, if the entire world consumed gallium at this rate, the demand would be 1,750 tonnes.  It is likely that a number of solutions will be needed to meet our energy needs.

Tuesday, June 2, 2015

The doomsday argument

"Since after extinction no one will be present to take responsibility, we have to take full responsibility now."  ― Jonathan Schell, The Fate of the Earth
When will the last person be born?  The question is simple; the answer is difficult.  J.R. Gott tried to answer this question using Bayes' theorem and simple statistics.  The number of people who will be born is likely to be large.  But is it more likely that there will be one trillion people or two trillion?  We expect larger numbers to be less likely than smaller numbers.  We write $\text{Pr}(N) = k/N$ and $\text{Pr}(n) = k/n$, where N is the number of people that will ever be born and n is the number of people already born.  Furthermore, we'll assume that there is nothing special about our position in human history.  We were as likely to be born as the billionth or the hundred billionth person.  Mathematically, this is written $\text{Pr}(n|N)=1/N$.

The likelihood that there will be N people, given that we know there have been n people already—$\text{Pr}(N|n)$—is obtained from Bayes' theorem:$$\text{Pr}(N|n)=\frac{\text{Pr}(n|N) \times \text{Pr}(N)}{\text{Pr}(n)} = \frac{n}{N^2}$$From this, we can calculate the probability for upper bounds on the number N: $\text{Pr}(N \leq z)= \frac{z-n}{z}$.  The first modern census was not conducted until the 18th century, but we can estimate the number of people who have lived on Earth—it's on the order of 100 billion.  We can be 95% confident that there will be fewer than 2 trillion people.  Given that there are four births every second, this person will be born in 15 thousand years.

There are a number of objections that can be made against the doomsday argument on mathematical grounds; however, the biggest problem is that it fails to address the physical causes of extinction. Genetic mutations will continue to accumulate in human populations, perhaps causing h. sapiens to differentiate into new species.  Disasters may contribute to an early human extinction.  A 2008 report by the Future of Humanity Institute estimates a 1 in 5 chance of humans extinction before the year 2100.  Though, the methodology of this study is questionable.  The doomsday argument may be flawed, but it raises questions in mathematical inference, and has opened the door to managing the risks we face as a species.