Category Archives: local craftsmen

Michigan’s road bill — why not?

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Stagnating before the Michigan Senate is a road improvement bill that passed the Michigan house 10 days ago. Though it’s not great, I hope they sign the bill. The bill would raise raise $600 million to $1.2 billion/year, an increase of $60 to $120 per person per year ratcheting up over the next six years. The first stage of the bill would take effect in October 2016, and would raise $400 million by increasing our car/ truck registration fees by about 40%. People with normal sedans would pay about $60 more per car per year. Those with more expensive, heavier vehicles would pay more. Though our registration fee is already among the highest in the nation, raising it further has the potential (It seems to me) to be the most fair and reasonable source of additional revenue. People with fancy cars, I imagine, are wealthy and those with heavy cars (I imagine) do the most road damage. This is the part of the bill that has proven the most contentious.

The next stage would begin in early 2018. It would raise $200 million by increasing Michigan diesel and gasoline taxes. The larger part would be on diesel fuel, an increase of 7.3 cents/gal presumably to soak out-of-state truckers who come through Michigan. These individuals deserve extra taxation, I imagine, because they don’t pay registration fees and probably damage our roads even more than those with fancy cars. Besides, they don’t vote in Michigan. The gas tax increase is smaller, 3.3 cents/ gal on regular gas, but Democrats are correct to point out that it is regressive. It takes a greater fraction from the poorer than from the rich. The hope is that, by the time the tax increase takes effect, we’ll have some inflation and also some more fuel-efficient cars so the bite won’t be as bad. Sorry to say, we already pay the 10th highest gas tax in the country.

The final phase of the road funding bill would not take full effect until 2021. The idea is to transfer $600 million from the general fund to pay for the roads with money left over to reduce home-owner taxes. Underlying the ability to do this is an assumption that Michigan industry and home prices will recover enough between now and then that we’ll be able to stop using the gasoline taxes to fund our schools, ideally with money left over from the regular income and sales tax. While I’d like to see this happen, and while this is possible given that the last few years have seen the state’s GDP recover at a 15.5+% growth rate (third highest in the nation) there is also a basis to say the assumptions are over- optimistic. On the other hand, the Democratic plan, based on 1.6% growth next year is likely over-pessimistic. As The Yogi says, “Predictions are always difficult, especially about the future.”

Whatever your views of the future, our roads are crumbling now, and new money is needed to fix them now before they get worse. If taxes must be raised, I’m inclined to do it with use -taxes, that is by charging those who use the services most. This is a philosophical preference of mine. Not all Republicans agree with this, and only one House Democrat has signed on so far. It was the view of the old-time, labor Democrats I grew up with, but not of today’s Democrats who prefer to tax “the rich” for any and all goods and services. Their point: that there are struggling, poor people who drive heavy, expensive cars. They’ve something of a point on the heavy cars, but I have less sympathy for the rest. I wrote a comic story about a poor guy trying to dispose of an expensive car, a Viper. My guess is that struggling rappers and poser politicians would not find it funny.

Dollars per capita spent on roads, 2013. From MDoT's road funding proposal.

Dollars per capita spent on roads, 2013. From MDoT’s road funding proposal.

Part of the way that MDoT (the Michigan Department of Transportation) justified its target of $600 million to $1.2 billion was by comparison with surrounding states — not my favorite way of analysis. The MDoT graphic shows that Michiganians spend about $57 less per capita on roads than folks in Illinois, Wisconsin, or Ohio, and about $100 less than folks in Indiana or Pennsylvania. Multiply $57 by our state’s population, 10 million, and they conclude we should spend some $570 million more per year. Multiply by $100, and you get $1.0 billion.

While the need for at least $600 million/year sounds about right, I note that the per-capita spending justification seems dubious. If you calculate instead on the basis of dollars per lane-mile, as below, you find that Michiganians are already paying more per mile than Minnesota, Wisconsin, or Indiana. You’ll also note that Ohio and Illinois pays about 1 1/2 times as much their roads aren’t much better. A major part of the variation, I suspect, is corruption, and the rest, I guess is incompetence. Illinois, perhaps the most corrupt state in the mid-west, has seen 4 of its past 5 governors go to jail, along with innumerable Chicago Aldermen and lesser officials. Citizens of Illinois pay for this corruption in over-size construction projects, and over-size construction fees. After the $600 million increase, we’ll pay $8,950 per lane mile suggesting we are still not quite as costly per lan-mile as Illinois or Ohio. If it turns out we need the full $1.2 billion extra, it will suggest we are even more incompetent or corrupt than Illinois.

Road funding state by state comparison.

Road funding state by state comparison, from the same MDoT report, 2013.

An ideal way I’d like to reduce the costs of Michigan’s roads would be to reduce corruption, a trend that’s already helped to revitalize Detroit since the Justice department jailed the mayor and his father plus some associates for “pay for play”. I’m sure it also helped to remove the chief of police (millions in his ceiling) and Bobby Ferguson of the useless, expensive Jail project and Guardian building scandal.

Conviceted IL

It’s somewhat hard to judge the level of general incompetence in a state, and even harder to find a fix. Minnesota had a bridge collapse in 2007, and we had the Zilwaukee in 1982 (and 2008), the 9 mile bridge collapse of 2009, and the Southfield overpass collapse of 2014. It’s been proposed that we should be able to fix both our corruption and our incompetence problems by holding the contractors responsible for any failures. If only it were that easy. Holding contractors responsible might get some contractors to allow the concrete cure for longer periods under water before opening a road, but I’m not sure the public would stand for it. A more-likely outcome is that crooked contractors would charge more for the same bad work, and then go bankrupt as soon as the road fails. If their company were appropriately structured, they could re-appear the next day: the same people and equipment, operating under a new corporate name.

The biggest single incompetence issue that I can see appears to be poor under-road drainage. In Oakland county, where I am, the drain department looks responsible for the major flood of last summer. We’ve had rains this big in previous years without this massive flooding. I suspect a lack of dry-wells, but don’t know. From what I see, the drainage is bad beneath many Oakland roads, too. It seems like the concrete slabs are not deteriorating as much as they are coming apart. That’s a sign of bad drainage. I also see sink-holes, new lakes, and places where the sidewalks sink. Again, that’s a sign of bad drainage; a sign there is a swamp near or beneath the road. If the ground below a major road is a swamp, there is no practical way a contractor can build a long-lasting road over it. Until the drains get better, or the corruption subsides, we’re going to have to replace the roads often at a cost of another $600 million/year. We might as well acknowledge our problems and sign the bill.

Robert Buxbaum, November 2-3, 2015. If you feel like getting involved, contact your state senator and tell him/her to vote yes (or no). Our senator is Vince Gregory. And if anyone would like to put me on a drainage board, I’d be happy to serve for free.

Detroit emerges from bankruptcy. Not quite.

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missing homes Detroit

While Detroit’s central core comes back, surrounding, homes burn at 220+/month, leave Detroit streets looking like the teeth of an aging hillbilly.

Detroit went bankrupt last year, the largest US city to do so since New York in 1970. As with New York’s bankruptcy, Detroit’s was used to cancel old debts and rewrite ill-thought contracts. Detroit also got to jail some crooked politicians including mayor Kilpatrick, described as “a walking crime wave.” But the city and county have no easy path out of bankruptcy as both city and county are likely insolvent. That is, they spend more than they take in despite massive out-state funding, and high taxes, 10% above the state level. To make matters worse, they are losing population at the rate of 1% or so per year. It’s hard to fund a city built for 2 million on the tax revenue of 1/3 as many, especially when they are mostly unemployed. Unless a lot changes soon, another bankruptcy is almost inevitable — likely this time at the county level.

We got in this state, largely as a result of a 50 year war between the black, solidly Democrat, somewhat anarchist, political establishment of Detroit, and the white, stayed, mostly Republican out state. The white population fled following the riots of the 60s and the richer black population soon followed. The remainder stayed, trapped in slowly decaying neighborhoods as the city went broke. White flight allowed the black community to develop its own, Motown culture, but except for the music industry, it has not benefitted from this culture.

Detroit's murder rate, 45/100,000, is the highest in the US. It's coming down but not that fast.

Detroit’s murder rate is the highest in the US. It’s come down 10% in the last 2 years, but has far to go.

Detroiters have poor health, poor savings rates, high murder rates, and a fire rate of about .22% per month, 2.6% per year. The city lacks basic city services like reliable fire fighting and street plowing. Police at one point erected signs that said, “enter at your own risk.” There is a lack of small businesses and the services they would provide too: laundromats, grocery stores, and taxis (though no lack of bars and marijuana maintenance clinics). Employment in the auto-industry is down. And it’s not being replaced by home-grown small business – perhaps hampered by the low savings rate. A surprisingly large fraction of the Detroit homes are in foreclosure, see map, and with it a high abandonment rate and a high fire rate. As pheasant and dear return, non-core Detroit is beginning to look like farm country.

Detroit foreclosures near me. Blue is occupied homes, red is unoccupied, yellow unknown, and green is destroyed homes or vacant, foreclosed land.

Detroit foreclosures near me. Homes in dark blue are occupied foreclosed, red is unoccupied, and green plots are destroyed homes or vacant, foreclosed land.

It’s not clear what political leaders should do. The city council would like to return to their pre-bankruptcy ways where they could borrow as much as they felt they needed and spend on whatever they saw fit — often on fast friends, fast cars, gambling, and vacation homes outside of the city. But the out-state population has been reluctant to give them the credit card. Is this racist or is it prudent — probably both, but this can not continue. The city and county pension funds were ransacked for ill-advised investments and consulting fees to cronies and their power-lawyers. Either the money is replaced from out-state or there will be some unhappy retirees in the not-too-distant future. My guess is that the state will have to pick up the tab for this mismanagement, but that they won’t want to hand over management control afterwards.

Rand Paul, a potential GOP presidential candidate, has proposed rebuilding business and property values by a method that the city will almost certainly reject. His solution: cut services to low-population density areas and cut taxes on business and earned income. While this would likely bring in new people and new businesses, the people would likely be white, and the businesses white-owned/ white-serving. Black-Detroiters have too little savings, organization and income to directly benefit from this plan. Detroit’s Democrat politicians will claim, not without merit, that this is welfare for rich whites: a way for them to become yet-richer while doing nothing for the poor blacks of the burning neighborhoods. They are likely to demand control as the elected officials of the town: regulating business and raising the minimum wage to create “equality.” I suspect this is a bad idea.

Detroit hunger games

Detroit suffers from two populations and a divide.

To some extent we’re already seeing the return of white-owned, white-serving businesses. Classic buildings in the core of the city have been purchased by white developers – notably Dan Gilbert of Quicken Loans leading to gentrification and an influx of single, white hipsters. The newcomers are viewed as half-saviors, half-carpetbaggers. They dwell in a whiter city core with hipster bars and expensive restaurants. Does a poor city with massive debt, crime, and unemployment benefit from a core filled with high-priced, gourmet coffee and fern bars?

The author, Robert Buxbaum, enjoys a day at an artificial beach in central Detroit.

The author, Robert Buxbaum, enjoys a beer at an artificial beach-cafe in central Detroit with some, few black folks, none poor. Is this good for Detroit?

The new hipsters put a squeeze on city services too — one that’s hard to deal with fairly. Detroit can not afford to plow all the streets after a snow. Should the new high-tax white folks get plowed streets, or should they suffer equally with everyone else? Detroit education is abysmal, but the high tax-bracket folks want better. Should they get it, or suffer equally? They want extra street lights and police protection. Should they get it, or suffer equally? Is this the way up?  A solution I’d proposed some while ago was to divide the core city from the now-rural outskirts so that each could be managed more sanely. It’s not a grand a solution like Rand’s plan, but less likely to be rejected. One way or another, we seem destined to have a Detroit with a rich core and abandoned neighborhoods. I suspect it might as well be managed that way.

Robert E. Buxbaum, February 10, 2015. I don’t have solutions, but write about the city’s problems, and the partial solutions I’ve heard as a way to clarify my thinking — and perhaps yours too.

In praise of tariffs

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In a previous post I noted that we could reduce global air pollution if we used import taxes (tariffs) to move manufacture to the US from China and other highly polluting countries. It strikes me that import tariffs can have other benefits too, they can keep US jobs in the US, provide needed taxes, and they’re a tool of foreign policy. We buy far more from China and Russia than they buy from us, and we get a fair amount of grief — especially from Russia. An appropriate-sized tariff should reduce US unemployment, help balance the US, and help clean the air while pushing Russia in an alternative to war-talk.

There is certainly such a thing as too high a tariff, but it seems to me we’re nowhere near that. Too high a tariff is only when it severely limits the value of our purchasing dollar. We can’t eat dollars, and want to be able to buy foreign products with them. Currently foreign stuff is so cheap thought, that what we import is most stuff we used to make at home — often stuff we still make to a small extent, like shoes, ties, and steel. An import tax can be bad when it causes other countries to stop buying from us, but that’s already happened. Except for a very few industries, Americans buy far more abroad than we sell. As a result, we have roughly 50% of Americans out of well-paying work, and on some form government assistance. Our government spends far more to care for us, and to police and feed the world than it could possibly take in, in taxes. It’s a financial imbalance that could be largely corrected if we bought more from US manufacturers who employ US workers who’d pay taxes and not draw unemployment. Work also benefits folks by developing, in them, skills and self-confidence.

Cartoon by Daryl Cagle. Now why is Russia a most favorable trade partner?

Cartoon by Daryl Cagle. Trade as foreign policy. Why is Russia a most favorable trade partner?

In a world without taxes or unemployment, and free of self-confidence issues, free trade might be ideal, but taxes and unemployment are a big part of US life. US taxes pay for US roads and provide for education and police. Taxes pay for the US army, and for the (free?) US healthcare. With all these tax burdens, it seems reasonable to me that foreign companies should pay at least 5-10% — the amount an American company would if the products were made here. Tariff rates could be adjusted for political reasons (cartoon), or environmental — to reduce air pollution. Regarding Russia, I find it bizarre that our president just repealed the Jackson Vanik tariff, thus giving Russia most favored trade status. We should (I’d think) reinstate the tax and ramp it up or down if Russia invades again or if they help us with Syria or Iran.

A history of US tariff rates. There is room to put higher tariffs on some products or some countries.

A history of US tariff rates. Higher rates on some products and some countries did not harm the US for most of our history.

For most of US history, the US had much higher tariffs than now, see chart. In 1900 it averaged 27.4% and rose to 50% on dutiable items. Our economy did OK in 1900. By 1960, tariffs had decreased to 7.3% on average (12% on duty-able) and the economy was still doing well. Now our average tariff is 1.3%, and essentially zero for most-favored nations, like Russia. Compare this to the 10% that New York applies to in-state sales, or the 6% Michigan applies, or the 5.5% that Russia applies to goods imported from the US. Why shouldn’t we collect at least as high a tax on products bought from the non-free, polluting world as we collect from US manufacturers.

Some say tariffs caused the Great Depression. Countries with lower tariffs saw the same depression. Besides the Smoot-Hawley was 60%, and I’s suggesting 5-10% like in 1960. Many countries today do fine today with higher tariffs than that.

Robert E. Buxbaum, March 25, 2014. Previous historical posts discussed the poor reviews of Lincoln’s Gettysburg address, and analyzed world war two in terms of mustaches. I’ve also compared military intervention to intervening in a divorce dispute. My previous economic post suggested that Detroit’s very high, living wage hurt the city by fostering unemployment.

Where does industrial CO2 come from? China mostly.

The US is in the process of imposing strict regulations on carbon dioxide as a way to stop global warming and climate change. We have also closed nearly new power plants, replacing them with cleaner options like a 2.2 billion dollar solar-electric generator in lake Ivanpah, and this January our president imposed a ban on lightbulbs of 60 W and higher. But it might help to know that China produced twice as much of the main climate change gas, carbon dioxide (CO2) as the US in 2012, and the ratio seems to be growing. One reason China produces so much CO2 is that China generates electricity from dirty coal using inefficient turbines.

Where the CO2 is coming from: a fair amount from the US and Europe, but mostly from China and India too.

From EDGAR 4.2; As of 2012 twice as much carbon dioxide, CO2 is coming from China as from the US and Europe.

It strikes me that a good approach to reducing the world’s carbon-dioxide emissions is to stop manufacturing so much in China. Our US electric plants use more efficient generating technology and burn lower carbon fuels than China does. We then add scrubbers and pollution reduction equipment that are hardly used in China. US manufacture thus produces not only less carbon dioxide than China, it also avoids other forms of air pollution, like NOx and SOx. Add to this the advantage of having fewer ships carrying products to and from China, and it’s clear that we could significantly reduce the world’s air problems by moving manufacture back to the USA.

I should also note that manufacture in the US helps the economy by keeping jobs and taxes here. A simple way to reduce purchases from China and collect some tax revenue would be to impose an import tariff on Chinese goods based, perhaps on the difference in carbon emissions or other pollution involved in Chinese manufacture and transport. While I have noted a lack of global warming, sixteen years now, that doesn’t mean I like pollution. It’s worthwhile to clean the air, and if we collect tariffs from the Chinese and help the US economy too, all the better.

Robert E. Buxbaum, February 24, 2014. Nuclear power produces no air pollution and uses a lot less land area compared to solar and wind projects.

Near-Poisson statistics: how many police – firemen for a small city?

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In a previous post, I dealt with the nearly-normal statistics of common things, like river crests, and explained why 100 year floods come more often than once every hundred years. As is not uncommon, the data was sort-of like a normal distribution, but deviated at the tail (the fantastic tail of the abnormal distribution). But now I’d like to present my take on a sort of statistics that (I think) should be used for the common problem of uncommon events: car crashes, fires, epidemics, wars…

Normally the mathematics used for these processes is Poisson statistics, and occasionally exponential statistics. I think these approaches lead to incorrect conclusions when applied to real-world cases of interest, e.g. choosing the size of a police force or fire department of a small town that rarely sees any crime or fire. This is relevant to Oak Park Michigan (where I live). I’ll show you how it’s treated by Poisson, and will then suggest a simpler way that’s more relevant.

First, consider an idealized version of Oak Park, Michigan (a semi-true version until the 1980s): the town had a small police department and a small fire department that saw only occasional crimes or fires, all of which required only 2 or 4 people respectively. Lets imagine that the likelihood of having one small fire at a given time is x = 5%, and that of having a violent crime is y =5% (it was 6% in 2011). A police department will need to have to have 2 policemen on call at all times, but will want 4 on the 0.25% chance that there are two simultaneous crimes (.05 x .05 = .0025); the fire department will want 8 souls on call at all times for the same reason. Either department will use the other 95% of their officers dealing with training, paperwork, investigations of less-immediate cases, care of equipment, and visiting schools, but this number on call is needed for immediate response. As there are 8760 hours per year and the police and fire workers only work 2000 hours, you’ll need at least 4.4 times this many officers. We’ll add some more for administration and sick-day relief, and predict a total staff of 20 police and 40 firemen. This is, more or less, what it was in the 1980s.

If each fire or violent crime took 3 hours (1/8 of a day), you’ll find that the entire on-call staff was busy 7.3 times per year (8x365x.0025 = 7.3), or a bit more since there is likely a seasonal effect, and since fires and violent crimes don’t fall into neat time slots. Having 3 fires or violent crimes simultaneously was very rare — and for those rare times, you could call on nearby communities, or do triage.

In response to austerity (towns always overspend in the good times, and come up short later), Oak Park realized it could use fewer employees if they combined the police and fire departments into an entity renamed “Public safety.” With 45-55 employees assigned to combined police / fire duty they’d still be able to handle the few violent crimes and fires. The sum of these events occurs 10% of the time, and we can apply the sort of statistics above to suggest that about 91% of the time there will be neither a fire nor violent crime; about 9% of the time there will be one or more fires or violent crimes (there is a 5% chance for each, but also a chance that 2 happen simultaneously). At least two events will occur 0.9% of the time (2 fires, 2 crimes or one of each), and they will have 3 or more events .09% of the time, or twice per year. The combined force allowed fewer responders since it was only rarely that 4 events happened simultaneously, and some of those were 4 crimes or 3 crimes and a fire — events that needed fewer responders. Your only real worry was when you have 3 fires, something that should happen every 3 years, or so, an acceptable risk at the time.

Before going to what caused this model of police and fire service to break down as Oak Park got bigger, I should explain Poisson statistics, exponential Statistics, and Power Law/ Fractal Statistics. The only type of statistics taught for dealing with crime like this is Poisson statistics, a type that works well when the events happen so suddenly and pass so briefly that we can claim to be interested in only how often we will see multiples of them in a period of time. The Poisson distribution formula is, P = rke-λ/r! where P is the Probability of having some number of events, r is the total number of events divided by the total number of periods, and k is the number of events we are interested in.

Using the data above for a period-time of 3 hours, we can say that r= .1, and the likelihood of zero, one, or two events begin in the 3 hour period is 90.4%, 9.04% and 0.45%. These numbers are reasonable in terms of when events happen, but they are irrelevant to the problem anyone is really interested in: what resources are needed to come to the aid of the victims. That’s the problem with Poisson statistics: it treats something that no one cares about (when the thing start), and under-predicts the important things, like how often you’ll have multiple events in-progress. For 4 events, Poisson statistics predicts it happens only .00037% of the time — true enough, but irrelevant in terms of how often multiple teams are needed out on the job. We need four teams no matter if the 4 events began in a single 3 hour period or in close succession in two adjoining periods. The events take time to deal with, and the time overlaps.

The way I’d dealt with these events, above, suggests a power law approach. In this case, each likelihood was 1/10 the previous, and the probability P = .9 x10-k . This is called power law statistics. I’ve never seen it taught, though it appears very briefly in Wikipedia. Those who like math can re-write the above relation as log10P = log10 .9 -k.

One can generalize the above so that, for example, the decay rate can be 1/8 and not 1/10 (that is the chance of having k+1 events is 1/8 that of having k events). In this case, we could say that P = 7/8 x 8-k , or more generally that log10P = log10 A –kβ. Here k is the number of teams required at any time, β is a free variable, and Α = 1-10-β because the sum of all probabilities has to equal 100%.

In college math, when behaviors like this appear, they are incorrectly translated into differential form to create “exponential statistics.” One begins by saying ∂P/∂k = -βP, where β = .9 as before, or remains some free-floating term. Everything looks fine until we integrate and set the total to 100%. We find that P = 1/λ e-kλ for k ≥ 0. This looks the same as before except that the pre-exponential always comes out wrong. In the above, the chance of having 0 events turns out to be 111%. Exponential statistics has the advantage (or disadvantage) that we find a non-zero possibility of having 1/100 of a fire, or 3.14159 crimes at a given time. We assign excessive likelihoods for fractional events and end up predicting artificially low likelihoods for the discrete events we are interested in except going away from a calculus that assumes continuity in a world where there is none. Discrete math is better than calculus here.

I now wish to generalize the power law statistics, to something similar but more robust. I’ll call my development fractal statistics (there’s already a section called fractal statistics on Wikipedia, but it’s really power-law statistics; mine will be different). Fractals were championed by Benoit B. Mandelbrot (who’s middle initial, according to the old joke, stood for Benoit B. Mandelbrot). Many random processes look fractal, e.g. the stock market. Before going here, I’d like to recall that the motivation for all this is figuring out how many people to hire for a police /fire force; we are not interested in any other irrelevant factoid, like how many calls of a certain type come in during a period of time.

To choose the size of the force, lets estimate how many times per year some number of people are needed simultaneously now that the city has bigger buildings and is seeing a few larger fires, and crimes. Lets assume that the larger fires and crimes occur only .05% of the time but might require 15 officers or more. Being prepared for even one event of this size will require expanding the force to about 80 men; 50% more than we have today, but we find that this expansion isn’t enough to cover the 0.0025% of the time when we will have two such major events simultaneously. That would require a 160 man fire-squad, and we still could not deal with two major fires and a simultaneous assault, or with a strike, or a lot of people who take sick at the same time. 

To treat this situation mathematically, we’ll say that the number times per year where a certain number of people are need, relates to the number of people based on a simple modification of the power law statistics. Thus:  log10N = A – βθ  where A and β are constants, N is the number of times per year that some number of officers are needed, and θ is the number of officers needed. To solve for the constants, plot the experimental values on a semi-log scale, and find the best straight line: -β is the slope and A  is the intercept. If the line is really straight, you are now done, and I would say that the fractal order is 1. But from the above discussion, I don’t expect this line to be straight. Rather I expect it to curve upward at high θ: there will be a tail where you require a higher number of officers. One might be tempted to modify the above by adding a term like Cθ2 but this will cause problems at very high θ. Thus, I’d suggest a fractal fix.

My fractal modification of the equation above is the following: log10N = A-βθ-w where A and β are similar to the power law coefficients and w is the fractal order of the decay, a coefficient that I expect to be slightly less than 1. To solve for the coefficients, pick a value of w, and find the best fits for A and β as before. The right value of w is the one that results in the straightest line fit. The equation above does not look like anything I’ve seen quite, or anything like the one shown in Wikipedia under the heading of fractal statistics, but I believe it to be correct — or at least useful.

To treat this politically is more difficult than treating it mathematically. I suspect we will have to combine our police and fire department with those of surrounding towns, and this will likely require our city to revert to a pure police department and a pure fire department. We can’t expect other cities specialists to work with our generalists particularly well. It may also mean payments to other cities, plus (perhaps) standardizing salaries and staffing. This should save money for Oak Park and should provide better service as specialists tend to do their jobs better than generalists (they also tend to be safer). But the change goes against the desire (need) of our local politicians to hand out favors of money and jobs to their friends. Keeping a non-specialized force costs lives as well as money but that doesn’t mean we’re likely to change soon.

Robert E. Buxbaum  December 6, 2013. My two previous posts are on how to climb a ladder safely, and on the relationship between mustaches in WWII: mustache men do things, and those with similar mustache styles get along best.

Surrealists art joke

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How many surrealists does it take to screw in a lightbulb.

 

The fish.

 

Surrealism aims to show the reality that exceeds realism; the dream-like absurd that is beyond the rational, common-sensical and practical. Beyond control engineering.

And you know “How many engineers would it take to screw in a lightbulb?” —- “Minimally two, and it would have to be a very large lightbulb.”

Even if the insights of surrealism are common-place, for example, that the eye is a false mirror of the world, I like is that they become real (if the surrealist is talented.)

False Mirror by Magritte; The idea, I suppose is that the eye is a false mirror of the world, seeing what's already within it.

False Mirror by Magritte; the idea, I suppose is that we see what’s already within us.

“The greatest obstacle to discovering the shape of the earth, the continents, and the oceans was not ignorance but the illusion of knowledge.” What I particularly like is the falseness of the mirror is shown as both false and true. The world is rarely this or that. Another insight / joke.

We all have masks, especially with those we love.

We all have masks, especially with those we love.

I imagine most I could make second-rate surrealistic works. The way to know your work is second rate it’s beautiful and insightful, but not funny.

Creation of Man-the-militant in the style of Michelangelo

Creation of Man-the-militant. Kuksi. It’s well done, and interesting (a retake on Michelangelo), but it’s not funny. See my cartoon in mechanical v civil engineers joke.

And then there is bad modern art. You could argue that this isn’t surreal, but some sort of other modern art, or post modern art. But that’s all false: it’s just bad art.

Bad modern art: little skill, little meaning, no humor. If you have to ask: "is it art?" It usually isn't.

Bad modern art: little skill, little meaning, no humor. If you have to ask: “is it art?” It usually isn’t.

If you buy something like this, and put it in your corporate headquarters lobby, the joke’s on you, and the artist is laughing his or her way to the bank.  Here is a link to why surrealism should be funny, And why architecture should not be (someone’s got to live in that joke).

R. E. Buxbaum, August 5, 2013

Simple electroplating of noble metals

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Electro-coating gold onto a Pd tube by dissolving an iron wire.

Electro-coating gold onto at Pd-coated tube by dissolving an iron wire at REB Research.

Here’s a simple trick for electroplating noble metals: gold, silver, copper, platinum. I learned this trick at Brooklyn Technical High School some years ago, and I still use it at REB Research as part of our process to make hydrogen permeation barriers, and sulfur tolerant permeation membranes.  It’s best used to coat reasonably inactive, small objects,  e.g. to coat copper on a nickel or silver on a penny for a science fair.

As a first step, you make a dilute acidic solution of the desired noble metal. Dissolve a gram or so of copper sulphate, silver nitrate, or gold chloride per 250 ml of water. Make sure the solution is acidic using pH paper, add acid if needed aiming for a pH of 3 to 4. Place some solution into a test tube or beaker of a size that will hold the object you want to coat. As a next step, attach an iron or steel wire to the object, I typically use bailing wire from the hardware store wrapped several times about the top of the object, and run the length of the object; see figure. Place the object into your solution and wait for 5 to 30 minutes. Coating works without the need for any other electric source or any current control.

The iron wire creates the electricity used in electroplating the noble metal. Iron has a higher electro-motive potential than hydrogen and hydrogen has a higher potential than the noble metals. In acid solution, the iron wire dissolves but (it’s hoped) the substrate does not. Each iron atom gives up two electrons, becoming Fe++. Some of these electrons go on to reduce hydrogen ions making H2 (2H+ + 2e– –> H2), but most should go to reduce the noble metal ions in the solution to form a coat of metallic gold, silver, or copper on both the wire and the object. See an example of how I do calculations regarding voltage, electron number, and Gibbs free energy.

Transferring electrons requires you have good electrical contact between the wire and the object. Most of the noble metal coats the object, not the wire since the object is bigger, typically. Thanks to my teachers at Brooklyn Technical High School for teaching me. For a uniform coat, it helps to run the wire down parallel to the entire length of tube; I think this is a capacitance, field effect. For a larger object, you may want several wires if you are plating a larger object. For a thicker coat, I found you are best off making many thin coats and heating them. This reduces tension forces in the coat, I think.

The picture shows a step in the process we use making our sulfur-resistant hydrogen permeation membranes (buy them here), used, e.g. to concentrate impurities in a hydrogen stream for improved gas chromatography. The next step is to dissolve the gold or copper into the palladium.

Go here for a great periodic table cup from REB Research, or for the rest of our REB Research products. I occasionally make silver-coated pennies for schoolchildren, but otherwise use this technology only for in-house production.

R.E. Buxbaum, July 20, 2013.

Paint your factory roof white

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Standing on the flat roof of my lab / factory building, I notice that virtually all of my neighbors’ roofs are black, covered by tar or bitumen. My roof was black too until three weeks ago; the roof was too hot to touch when I’d gone up to patch a leak. That’s not quite egg-frying hot, but I came to believe my repair would last longer if the roof stayed cooler. So, after sealing the leak with tar and bitumen, we added an aluminized over-layer from Ace hardware. The roof is cooler now than before, and I notice a major drop in air conditioner load and use.

My analysis of our roof coating follows; it’s for Detroit, but you can modify it for your location. Sunlight hits the earth carrying 1300 W/m2. Some 300W/m2 scatters as blue light (for why so much scatters, and why the sky is blue, see here). The rest, 1000 W/m2 or 308 Btu/ft2hr, comes through or reflects off clouds on a cloudy day and hits buildings at an angle determined by latitude, time of day, and season of the year.

Detroit is at 42° North latitude so my roof shows an angle of 42° to the sun at noon in mid spring. In summer, the angle is 20°, and in winter about 63°. The sun sinks lower on the horizon through the day, e.g. at two hours before or after noon in mid spring the angle is 51°. On a clear day, with a perfectly black roof, the heating is 308 Btu/ft2hr times the cosine of the angle.

To calculate our average roof heating, I integrated this heat over the full day’s angles using Euler’s method, and included the scatter from clouds plus an absorption factor for the blackness of the roof. The figure below shows the cloud cover for Detroit.

Average cloud cover for Detroit, month by month.

Average cloud cover for Detroit, month by month; the black line is the median cloud cover. On January 1, it is strongly overcast 60% of the time, and hardly ever clear; the median is about 98%. From http://weatherspark.com/averages/30042/Detroit-Michigan-United-States

Based on this and an assumed light absorption factor of σ = .9 for tar and σ = .2 after aluminum. I calculate an average of 105 Btu/ft2hr heating during the summer for the original black roof, and 23 Btu/ft2hr after aluminizing. Our roof is still warm, but it’s no longer hot. While most of the absorbed heat leaves the roof by black body radiation or convection, enough enters my lab through 6″ of insulation to cause me to use a lot of air conditioning. I calculate the heat entering this way from the roof temperature. In the summer, an aluminum coat is a clear winner.

Detroit High and Low Temperatures Over the ear

High and Low Temperatures For Detroit, Month by Month. From http://weatherspark.com/averages/30042/Detroit-Michigan-United-States

Detroit has a cold winter too, and these are months where I’d benefit from solar heat. I find it’s so cloudy in winter that, even with a black roof, I got less than 5 Btu/ft2hr. Aluminizing reduced this heat to 1.2 Btu/ft2hr, but it also reduces the black-body radiation leaving at night. I should find that I use less heat in winter, but perhaps more in late spring and early fall. I won’t know the details till next year, but that’s the calculation.

The REB Research laboratory is located at 12851 Capital St., Oak Park, MI 48237. We specialize in hydrogen separations and membrane reactors. By Dr. Robert Buxbaum, June 16, 2013

What’s the quality of your home insulation

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By Dr. Robert E. Buxbaum, June 3, 2013

It’s common to have companies call during dinner offering to blow extra insulation into the walls and attic of your home. Those who’ve added this insulation find a small decrease in their heating and cooling bills, but generally wonder if they got their money’s worth, or perhaps if they need yet-more insulation to get the full benefit. Here’s a simple approach to comparing your home heat bill to the ideal your home can reasonably reach.

The rate of heat transfer through a wall, Qw, is proportional to the temperature difference, ∆T, to the area, A, and to the average thermal conductivity of the wall, k; it is inversely proportional to the wall thickness, ∂;

Qw = ∆T A k /∂.

For home insulation, we re-write this as Qw = ∆T A/Rw where Rw is the thermal resistance of the wall, measured (in the US) as °F/BTU/hr-ft2. Rw = ∂/k.

Lets assume that your home’s outer wall thickness is nominally 6″ thick (0.5 foot). With the best available insulation, perfectly applied, the heat loss will be somewhat higher than if the space was filled with still air, k=.024 BTU/ft. hr°F, a result based on molecular dynamics. For a 6″ wall, the R value, will always be less than .5/.024 = 20.8 °F/BTU/hr-ft2.. It will be much less if there are holes or air infiltration, but for practical construction with joists and sills, an Rw value of 15 or 16 is probably about as good as you’ll get with 6″ walls.

To show you how to evaluate your home, I’ll now calculate the R value of my walls based on the size of my ranch-style home (in Michigan) and our heat bills. I’ll first do this in a simplified calculation, ignoring windows, and will then repeat the calculation including the windows. Windows are found to be very important. I strongly suggest window curtains to save heat and air conditioning,

The outer wall of my home is 190 feet long, and extends about 11 feet above ground to the roof. Multiplying these dimensions gives an outer wall area of 2090 ft2. I could now add the roof area, 1750 ft2 (it’s the same as the area of the house), but since the roof is more heavily insulated than the walls, I’ll estimate that it behaves like 1410 ft2 of normal wall. I calculate there are 3500 ft2 of effective above-ground area for heat loss. This is the area that companies keep offering to insulate.

Between December 2011 and February 2012, our home was about 72°F inside, and the outside temperature was about 28°F. Thus, the average temperature difference between the inside and outside was about 45°F; I estimate the rate of heat loss from the above-ground part of my house, Qu = 3500 * 45/R = 157,500/Rw.

Our house has a basement too, something that no one has yet offered to insulate. While the below-ground temperature gradient is smaller, it’s less-well insulated. Our basement walls are cinderblock covered with 2″ of styrofoam plus wall-board. Our basement floor is even less well insulated: it’s just cement poured on pea-gravel. I estimate the below-ground R value is no more than 1/2 of whatever the above ground value is; thus, for calculating QB, I’ll assume a resistance of Rw/2.

The below-ground area equals the square footage of our house, 1750 ft2 but the walls extend down only about 5 feet below ground. The basement walls are thus 950 ft2 in area (5 x 190 = 950). Adding the 1750 ft2 floor area, we find a total below-ground area of 2700 ft2.

The temperature difference between the basement and the wet dirt is only about 25°F in the winter. Assuming the thermal resistance is Rw/2, I estimate the rate of heat loss from the basement, QB = 2700*25*(2/Rw) = 135,000/Rw. It appears that nearly as much heat leaves through the basement as above ground!

Between December and February 2012, our home used an average of 597 cubic feet of gas per day or 25497 BTU/hour (heat value = 1025 BTU/ ft3). QU+ QB = 292,500/Rw. Ignoring windows, I estimate Rw of my home = 292,500/25497 = 11.47.

We now add the windows. Our house has 230 ft2 of windows, most covered by curtains and/or plastic. Because of the curtains and plastic, they would have an R value of 3 except that black-body radiation tends to be very significant. I estimate our windows have an R value of 1.5; the heat loss through the windows is thus QW= 230*45/1.5 = 6900 BTU/hr, about 27% of the total. The R value for our walls is now re-estimated to be 292,500/(25497-6900) = 15.7; this is about as good as I can expect given the fixed thickness of our walls and the fact that I can not easily get an insulation conductivity lower than still air. I thus find that there will be little or no benefit to adding more above-ground wall insulation to my house.

To save heat energy, I might want to coat our windows in partially reflective plastic or draw the curtains to follow the sun. Also, since nearly half the heat left from the basement, I may want to lay a thicker carpet, or lay a reflective under-layer (a space blanket) beneath the carpet.

To improve on the above estimate, I could consider our furnace efficiency; it is perhaps only 85-90% efficient, with still-warm air leaving up the chimney. There is also some heat lost through the door being opened, and through hot water being poured down the drain. As a first guess, these heat losses are balanced by the heat added by electric usage, by the body-heat of people in the house, and by solar radiation that entered through the windows (not much for Michigan in winter). I still see no reason to add more above-ground insulation. Now that I’ve analyzed my home, it’s time for you to analyze yours.

My steam-operated, high pressure pump

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Here’s a miniature version of a duplex pump that we made 2-3 years ago at REB Research as a way to pump fuel into hydrogen generators for use with fuel cells. The design is from the 1800s. It was used on tank locomotives and steamboats to pump water into the boiler using only the pressure in the boiler itself. This seems like magic, but isn’t. There is no rotation, but linear motion in a steam piston of larger diameter pushes a liquid pump piston with a smaller diameter. Each piston travels the same distance, but there is more volume in the steam cylinder. The work from the steam piston is greater: W = ∫PdV; energy is conserved, and the liquid is pumped to higher pressure than the driving steam (neat!).

The following is a still photo. Click on the YouTube link to see the steam pump in action. It has over 4000 views!

Mini duplex pump. Provides high pressure water from steam power. Amini version of a classic of the 1800s Coffee cup and pen shown for scale.

Mini duplex pump. Provides high pressure water from steam power. A mini version of a classic of the 1800s Coffee cup and pen shown for scale.

You can get the bronze casting and the plans for this pump from Stanley co (England). Any talented machinist should be able to do the rest. I hired an Amish craftsman in Ohio. Maurice Perlman did the final fit work in our shop.

Our standard line of hydrogen generators still use electricity to pump the methanol-water. Even our latest generators are meant for nom-mobile applications where electricity is awfully convenient and cheap. This pump was intended for a future customer who would need to generate hydrogen to make electricity for remote and mobile applications. Even our non-mobile hydrogen is a better way to power cars than batteries, but making it mobile has advantages. Another advance would be to heat the reactors by burning the waste gas (I’ve been working on that too, and have filed a patent). Sometimes you have to build things ahead of finding a customer — and this pump was awfully cool.