Archive for May, 2010

Fuel Efficiency: Modes of Transportation Ranked By MPG

Building on a previous post on the energy efficiency of various foods, I decided to create a list of transportation modes by fuel efficiency.  In order to compare vehicles with different passenger capacities and average utilization, I included both average efficiency and maximum efficiency, at average and maximum passenger loads.

The calculations and source data are explained in detail in the footnotes. For human-powered activities, the mpg ratings might appear high, but many calculations omit the fact that a human’s baseline calorie consumption must be subtracted to find the efficiency of human-powered transportation. I have subtracted out baseline metabolism, showing the true efficiencies for walking, running, and biking.

For vehicles like trucks and large ships which primarily carry cargo, I count 4000 pounds of cargo as equivalent to one person. This is roughly the weight of an average American automobile (cars, minivans, SUVs, and trucks).

The pmpg ratings of cars, trucks, and motorcycles are also higher than traditional mpg estimates, since pmpg accounts for the average number of occupants in a vehicle, which according to the Bureau of Transportation Statistics is 1.58 for cars, 1.73 for SUVs, minivans, and trucks, and 1.27 for motorcycles.

List of Transportation Modes By Person-Miles Per Gallon (PMPG)

Transport Average PMPG Max PMPG
Bicycle [3] 984 984
Walking [1] 700 700
Freight Ship [10] 340 570
Running [2] 315 315
Freight Train [7] 190.5 190.5
Plugin Hybrid [5] 110.6 350
Motorcycle [4] 71.8 113
Passenger Train [7] 71.6 189.7
Airplane [9] 42.6 53.6
Bus [8] 38.3 330
Car [4] 35.7 113
18-Wheeler (Truck) [5] 32.2 64.4
Light Truck, SUV, Minivan [4] 31.4 91

[0] I used these conversion factors for all calculations.

[1] Walking: A typical person expends roughly 75 calories to walk a mile in 20 minutes. An American burns about 30 calories just to exist for 20 minutes, so the net expenditure for walking is 45 calories per mile. One gallon of gasoline contains roughly 31,500 kcal, so 45 calories is 0.0014 gallons of gas. Thus the average American has a walking efficiency of 700mpg. This estimate is higher than that given elsewhere – the crucial difference is that you have to subtract out baseline metabolism, since an American consumes over 2100 calories a day just to stay alive.

[2] Running: The calculation is similar to [1]. Here we assume a 6 minute/mile pace, which burns 1088 calories per hour, or 109 calories per mile, and 100 net calories per mile. 100 calories is 0.003 gallons of gas, for a fuel efficiency of 315mpg.

[3] Bicycles: Bicycling at 10mph requires 408 calories per hour, or 40.8 calories per mile, which is 32 net calories per mile. This yield an mpg rating of 984, higher even than walking!

[4] Automobiles: The Bureau of Transportation Statistics has done the heavy lifting for us, calculating BTU per passenger-mile for cars, light trucks, and motorcycles. For cars, the latest (2008) data point is 3501 BTU / passenger-mile, or 0.028 gallons per passenger-mile, which equals 35.7 pmpg (BTS assumes 1.58 passengers on average, so this equates to 22.6 mpg). Using the same BTS data, average pmpg for light trucks is 31.4, and for motorcycles is 71.76. For max pmpg, we use a max passengers of 5 for cars and trucks, and 2 for motorcycles. To do this calculation from the BTS data, we first divide the avg. pmpg by the avg. passenger count, and then multiply by the max in each case.

[5] 18-Wheelers: For 18-wheel rigs, BTS data shows an average diesel mpg of 5.1. This equates to a gasoline mpg of 4.6, using 125,000 btu / 138,700 btu as the gas / diesel energy ratio. The weight limit for trucks on most roads is 80,000 lbs, of which 55,000 might be the max load given a truck weight of 25,000 lbs. To convert load to passengers, I assume 4000 lbs per passenger, since that’s roughly the weight of a passenger vehicle. A 50% (average) loaded truck counts for roughly 7 passengers, and a full load counts for 14. Using these factors, average pmpg is 32.2 and max pmpg is 64.4.

[6] Plugin-Hybrids: With the exception of the Prius Hymotion conversion, plugin hybrids like the Chevy Volt have yet to reach market, and have not yet had a final mpg designation. Consumer Reports achieved 67 mpg with the Hymotion Prius, though Hymotion and many owners claim 100 mpg is possible. Using 70 mpg, and adjusting this by the 1.58 average passenger count, the Hymotion Prius has an average pmpg of 110.6, and a maximum pmpg of 350.

[7] Trains: While all trains have similar underlying efficiencies, passenger trains in the US are much less efficient in practice because of poor utilization. BTS calculates Amtrak efficiency at 1745 BTU per passenger-mile, which equates to 71.6 pmpg. Amtrak traveled 267 million car-miles in 2007, which equals to 16 billion potential passenger miles if the average car holds 60 passengers. In 2007 Amtrak consumed 10.5 trillion BTU of fuel, or 659 BTU per available passenger mile. Amtrak’s max pmpg is therefore 189.7 (if somebody would just ride it).

Freight trains consume 328 BTU to move a ton one mile. Using 4000 lbs of freight equals one passenger, this equals 656 BTU per passenger-mile, or 190.5 pmpg.

[8] Buses: At average passenger loads, buses achieve 3262 BTU per passenger-mile, or 38.3 pmpg. Per BTS data, buses average 6.1 diesel mpg, or 5.5 gas mpg. With a full load of roughly 60 passengers, a max pmpg of 330 is possible. The huge difference in average and max pmpg implies that buses are usually almost empty – perhaps smaller mini-buses should be used by more fleets.

[9] Airplanes: Airplanes flying domestic routes average 2931 BTU per passenger-mile, or 42.6 pmpg. The overall domestic load factor in 2008 was 79.6%, so at max capacity a plane might achieve 53.6 pmpg.

[10] Ships: In a previous post I found that shipping over water (by barge) costs one-third of shipping by rail. This implies that water based shipping is also roughly triple the efficiency in energy terms, since energy is one of the key cost drivers in transportation. This provides a rough estimate of 570 pmpg. According to this post, the world’s largest container ship travels 28 feet on a gallon of residual fuel oil (149,690 BTU or 1.2 gallons of gas). This equals 0.004 mpg. Per Wikipedia, the ship can carry 11,000 14-ton containers, or 77,000 passenger-equivalents using our 4000 lb conversion rate. Thus pmpg is 340 for this ship.

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The ROI Payback of Tossing Incandescents For CFLs

After moving into my current home, I discovered that the previous owners had left dozens of light bulbs for the various fixtures in the house. I was happy to know that I wouldn’t have to restock for a while. In the interim, compact fluorescent light bulbs have become inexpensive, and LED bulbs have begun to become economical as well. While I have realized for some time that CFLs are a good investment with a short payback period, I have yet to replace my bulbs. At some level, it feels wrong to throw out all those light bulbs. What is the real return on throwing out a working bulb and replacing it with a CFL?

I calculated the payback period in days when replacing a 60W bulb with a CFL, assuming $0.1 per kWh electricity and $0.97 per CFL, which is what I paid at Home Depot last weekend [1]. I performed the calculation for a variety of usage assumptions, and this graph shows the results:

CFL Payback Period In Days

The payback on moving to CFLs is quite fast, a few weeks for high usage bulbs, and several months for bulbs used only one hour per day.

The first graph begs the question – how frequently does a light bulb need to be used to justify replacing it with an incandescent? Assuming that a 10% return on investment is desired, that the CFL will last 5 years [2], and that electricity costs $0.10 per kWh, I calculate that you should replace any bulb used more than 9 minutes per day [3].

That’s a pretty low bar, lower than I expected. As CFL prices have dropped, and light quality has improved [4], there aren’t many arguments left for sticking with incandescents. And for the lazy, switching to CFLs will decrease the frequency of light bulb changes, resulting in lower effort as well.

Conclusion: Throw out your light bulbs and replace them with CFLs today. The quality of CFL light output is now pretty close to incandescent, and you are burning money every day you wait!

I replaced roughly 40 light bulbs last weekend, in the middle of writing this post. For the most part it’s worked out – the light quality is decent, but the CFLs still take some time to get to full intensity, and I may have to replace a few that flicker due to dimmers on the switches.

Here is my calculations spreadsheet on Google Docs.

[1] While this was a sale price, CFL prices have been falling steadily and the standard price at HomeDepot.com is still only $1.25 per bulb (see the 12 pack of 60W-equivalent TCP brand bulbs available at this writing).

[2] Many CFLs are warrantied for 7-9 years, and claim 8000-12,000 hours of working life. Five years is thus a conservative estimate, but takes into account the fact that CFL quality control is still an issue, so that some percentage of bulbs will be defective.

[3] The calculations in my spreadsheet are linear with respect to purchase price – if you pay $2 for a CFL instead of $1, then you should replace all bulbs used for more than 18 minutes a day, and so on.

[4] That CFL light quality has improved is my personal opinion – look around on the web, and you will find hundreds of articles disparaging CFL light quality. I think they’ve come a long way, however, and the soft-white (2700K) bulbs available now do an acceptable job imitating incandescent soft-white bulbs.

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