2927: Alphabetical Cartogram

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Alphabetical Cartogram
Poor Weeoming.
Title text: Poor Weeoming.

Explanation

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This comic shows a map of the United States, with every state resized based on where it appears in an alphabetical list of states. Hence Alabama is the largest state and Wyoming is the smallest. The joke is that the comic purports to "be more fair", but there's nothing fair or unfair about sizing states by alphabetical order. Whether or not it is 'fair' in the first place to have states being shown as bigger or smaller merely because of raw geographical fact (and perhaps a little bit of carographic bias).

Wyoming shrank the most proportionally in geographical size, while Delaware grew the most. Compared to a ranking of US states by area, Texas dropped the most (41 places), while Delaware and Connecticut rose the most (also 41 places). South Carolina and Vermont did not change rank.

This coincides with a recent study from the University of Michigan showing that the alphabetical order of surnames leads to differences in grading.

The title text creates a portmanteau of the words “wee,” which means “little,” and “Wyoming,” making fun of how small it is on this map, since Wyoming appears last on the alphabetical list of states.

Bias resulting from alphabetical order was also the topic of 2789: Making Plans.

It should be noted that the resizing is not done perfectly in the drawing. For example, Vermont appears slightly larger than Texas, and Idaho appears smaller than Missouri. The map strikes a balance between actually making the sizes of the states correspond to their alphabetical order, keeping the shapes of the states correct, and making the "lower 48" states fit together contiguously. The shapes of many states are significantly warped, such as Maryland, Delaware, and New York (which is lacking Long Island).

The table below ranks the states according to their actual size, their alphabetical order, and their approximate size as they are drawn in the comic.

Table of states

State Real Life Listings Actual Sizes in the
Comic (Approximate)
Total Area  % of the
US 		Area
ranking 		Alphabetic
ranking 		Ranking
adjustment 		Area
(pixels) 		 % of
total 		Comic
ranking
sq mi km2
Alaska 665,384 1,723,337 17.53% 1 2 1 ▼ 27329 4.26% 5
Texas 268,596 695,662 7.07% 2 43 41 ▼ 3122 0.487% 44
California 163,695 423,970 4.31% 3 5 2 ▼ 25285 3.94% 6
Montana 147,040 380,800 3.87% 4 26 22 ▼ 13781 2.15% 24
New Mexico 121,590 314,915 3.20% 5 31 26 ▼ 9768 1.52% 29
Arizona 113,990 295,254 3.00% 6 3 3 ▲ 29710 4.63% 3
Nevada 110,572 286,382 2.91% 7 28 21 ▼ 10754 1.68% 26
Colorado 104,094 269,601 2.74% 8 6 2 ▲ 27929 4.35% 4
Oregon 98,379 254,806 2.59% 9 37 28 ▼ 6959 1.09% 36
Wyoming 97,813 253,335 2.58% 10 50 40 ▼ 383 0.0597% 50
Michigan 96,714 250,493 2.55% 11 22 11 ▼ 10150 1.58% 27
Minnesota 86,936 225,163 2.29% 12 23 11 ▼ 15491 2.42% 20
Utah 84,897 219,882 2.24% 13 44 31 ▼ 5035 0.785% 38
Idaho 83,569 216,443 2.20% 14 12 2 ▲ 11253 1.75% 25
Kansas 82,278 213,100 2.17% 15 16 1 ▼ 14515 2.26% 22
Nebraska 77,348 200,330 2.04% 16 27 11 ▼ 9632 1.50% 30
South Dakota 77,116 199,729 2.03% 17 41 24 ▼ 4087 0.637% 42
Washington 71,298 184,661 1.88% 18 47 29 ▼ 1687 0.263% 47
North Dakota 70,698 183,108 1.86% 19 34 15 ▼ 9797 1.53% 28
Oklahoma 69,899 181,037 1.841% 20 36 16 ▼ 7493 1.17% 32
Missouri 69,707 180,540 1.836% 21 25 4 ▼ 16016 2.50% 17
Florida 65,758 170,312 1.732% 22 9 13 ▲ 22794 3.55% 8
Wisconsin 65,496 169,635 1.725% 23 49 26 ▼ 1098 0.171% 49
Georgia 59,425 153,910 1.565% 24 10 14 ▲ 20650 3.22% 9
Illinois 57,914 149,995 1.525% 25 13 12 ▲ 19537 3.05% 10
Iowa 56,273 145,746 1.482% 26 15 11 ▲ 16925 2.64% 15
New York 54,555 141,297 1.437% 27 32 5 ▼ 7402 1.15% 34
North Carolina 53,819 139,391 1.418% 28 33 5 ▼ 6982 1.09% 35
Arkansas 53,179 137,732 1.401% 29 4 25 ▲ 31942 4.98% 2
Alabama 52,420 135,767 1.381% 30 1 29 ▲ 34207 5.33% 1
Louisiana 52,378 135,659 1.380% 31 18 13 ▲ 15720 2.45% 18
Mississippi 48,432 125,438 1.276% 32 24 8 ▲ 16412 2.56% 16
Pennsylvania 46,054 119,280 1.213% 33 38 5 ▼ 6025 0.939% 37
Ohio 44,826 116,098 1.181% 34 35 1 ▼ 4865 0.759% 39
Virginia 42,775 110,787 1.127% 35 46 11 ▼ 1863 0.290% 46
Tennessee 42,144 109,153 1.110% 36 42 6 ▼ 4588 0.715% 40
Kentucky 40,408 104,656 1.064% 37 17 20 ▲ 18557 2.89% 12
Indiana 36,420 94,326 0.959% 38 14 24 ▲ 15719 2.45% 19
Maine 35,380 91,633 0.932% 39 19 20 ▲ 16950 2.64% 14
South Carolina 32,020 82,933 0.843% 40 40 0 ◀ 4482 0.699% 41
West Virginia 24,230 62,756 0.638% 41 48 7 ▼ 1136 0.177% 48
Maryland 12,406 32,131 0.327% 42 20 22 ▲ 13811 2.15% 23
Hawaii 10,932 28,313 0.288% 43 11 32 ▲ 15000 2.34% 21
Massachusetts 10,554 27,336 0.278% 44 21 23 ▲ 17734 2.77% 13
Vermont 9,616 24,906 0.253% 45 45 0 ◀ 2554 0.398% 45
New Hampshire 9,349 24,214 0.246% 46 29 17 ▲ 8994 1.40% 31
New Jersey 8,723 22,591 0.230% 47 30 17 ▲ 7432 1.16% 33
Connecticut 5,543 14,357 0.146% 48 7 41 ▲ 24549 3.83% 7
Delaware 2,489 6,446 0.066% 49 8 41 ▲ 19332 3.01% 11
Rhode Island 1,545 4,001 0.041% 50 39 11 ▲ 3950 0.616% 43

Transcript

Ambox notice.png This transcript is incomplete. Please help editing it! Thanks.
A More Fair Map
Instead of giving more area to larger states, this map improves fairness by sizing the states alphabetically.
[A labeled map of the United States where states are resized based on their alphabetical order]


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Discussion

replaced incorrect explanation 172.70.111.45 17:17, 1 May 2024 (UTC)

Is it me or is Hawaii strangely bigger than california. -- 172.70.100.40 (talk) (please sign your comments with ~~~~)

I think he's only counting the land area. The area between the islands may be creating an illusion that Hawaii is bigger. It's hard to tell just by looking, does anyone have the tech to measure this? P.S. remember to sign... Barmar (talk) 14:11, 1 May 2024 (UTC)

Im just wondering why Maine is still so big.... JushJosh (talk) 13:22, 1 May 2024 (UTC)Jush

I know, right? That's what made me think it wasn't just a simple alphabetical listing. That, and Hawaii is bigger than Alaska, despite the fact that Alaska is substantially higher on the list. In fact, it even appears that Alaska is smaller than Maine! How did Randall decide on the sizes??? Pie Guy (talk) 16:01, 1 May 2024 (UTC)

The sad part is that Rhode Island grew. 172.71.31.139 14:01, 1 May 2024 (UTC)

I believe it is some sort of ranking rather than swapping sizes as the chart suggests, as South Carolina appears to be smaller than normal (?) Primmy (talk) 14:56, 1 May 2024 (UTC)

Poor Utah :( If you click on this you will get a fun surprise (talk) 15:15, 1 May 2024 (UTC)

I believe the first paragraph is incorrect. I did a full comparison, and Texas shrank the most (dropping 41 places from size ranking to alphabetical ranking), while Connecticut as well as Delaware grew the most (each rising 41 places between the lists). 172.71.255.28 15:40, 1 May 2024 (UTC)

This map gives a lot more land to Mexico. Weslar (talk) 16:31, 1 May 2024 (UTC)

Mexico is not represented at all in the map. And all states are much smaller than in reality (unless you have a very big monitor, c.f. 2911) --172.71.160.32 12:30, 2 May 2024 (UTC)
I think Weslar is saying that Mexico gains land, since (historically) it has everything south of Arizona, New Mexico, and Texas. (Source: Just visited the Alamo a couple weeks ago, on an eclipse vacation...) So the fact that the states are smaller makes Texas bigger. (talk)

UNFORTUNATELY it seems that there are many errors in the actual relationship of sizes. I did a quick area take off of each state. These units are in miles using the real width of Colorado (since it is about the same place in the list) as the scale reference. https://imgur.com/a/hKIVjRZ. you can see immediately that Delaware and Alaska and Iowa are incorrect in the order.

Ignoring the Errors in the map and Assuming We are keeping the total area of the US the same and scaling the new map based on this total... then Alaska loses the most land area ( approx 510,000 mi) and Alabama gains the most Land area (156,000 mi). Looking at which state gained or lost the largest percentage of its land area shows that Minnesota is the least affected at only 4.6% or 4,200 mi and Wyoming is the most affected losing 98% of its land area or 95,000 miles.162.158.41.56

As a Wyomingite, I can't complain. We're still bigger than our population justifies. (fun fact, we get two whole senators despite lacking the population to actually justify a single house member)172.68.34.59 17:08, 1 May 2024 (UTC)

Alaska is STILL disproportionally small. Fabian42 (talk) 17:24, 1 May 2024 (UTC)

Utah is way too big (should be after Texas) and Idaho is too small (should be bigger than the Ms)

Why the hell is Massachusetts so BIG?! Psychoticpotato (talk) 13:01, 2 May 2024 (UTC)

To account for all its Mass. 172.71.242.175 13:51, 2 May 2024 (UTC)
I should've seen that coming. Psychoticpotato (talk) 15:40, 7 May 2024 (UTC)

I went further and measured the exact sizes of each state to the pixel: https://imgur.com/a/d6ruHvs really nerd sniped myself lol. The post includes excel screenshots as well as text, and the image I used at the bottom. Will explain methodology if anyone wants. Obviously all these discrepancies are due to the fact that the states actually have to fit together for the joke-map to work. Paintadot (talk) 13:48, 2 May 2024 (UTC)

Having the pixel area for each state in the explanation would be really nice! Do you count the "border pixels" (or maybe half of them) to the pixel area? (not sure if that would be sufficient to have Alaska stay atop of Arizona ...) --172.71.160.32 14:39, 2 May 2024 (UTC)
As drawn, the borders vary significantly in width. Usually 2 pixels wide, but often 3 or more. Between states, I divided them evenly to the best of my judgment. For the outer borders of the lower 48, Hawai'i, and Alaska, I added roughly one outer pixel. It's possible it could be done better, but it's kind of subjective anyway. Nevertheless it seems a lot of us agree that it's an interesting thing to try to measure. I imagine it was a lot of fun for Randall to try to balance his stated goal with keeping the shapes of the states more or less correct :) Paintadot (talk) 16:16, 2 May 2024 (UTC)
I was going to take some time to establish 'drawn areas', myself (perhaps work out if it were contained area, 'hull' area, one-axis scale, etc) and add the likiest metric in the "Alphabetic" group of columns (remember to re-colspan!), but looks like like you've got that covered... 172.71.102.254 15:10, 2 May 2024 (UTC)
"I was going to take some time to establish 'drawn areas" --- When I was a boy, they had planimeters. You run the pointer around your figure and it computes area with two wheels. Magic? https://www.youtube.com/watch?v=jMvEOmpy8Kw Among other chores, they computed the area of the PV diagram of a steam engine. --PRR (talk) 20:08, 3 May 2024 (UTC)
Magic or an application of Green's theorem :) --198.41.242.211 12:00, 6 May 2024 (UTC)

I modified the table to include the data I gathered (https://imgur.com/a/d6ruHvs). I hope that's okay. This is my first contribution ^^' Paintadot (talk) 16:15, 2 May 2024 (UTC)

What definition of 'fair' is Randall using? --NeatNit (talk) 15:04, 2 May 2024 (UTC)

Number 3 172.71.102.254 15:10, 2 May 2024 (UTC)

replaced incorrect explanation 172.70.230.172 20:30, 2 May 2024 (UTC)

The title is written weirdly (to me): "a more fair map". Wouldn't "a fairer map" be more usual? Does anyone know if this phrasing is a reference to something that I'm not getting? --172.69.79.191 23:10, 2 May 2024 (UTC)

Randall talks about the distortion from various map projections time and time again. Is there a chance that the pixel by pixel analysis that has been performed by us is overlooking the impact of map projection distortion? Ianrbibtitlht (talk) 23:09, 3 May 2024 (UTC)

O_O Well. That is a fantastic point. It doesn't seem likely that Randall would choose a projection that messes up the entire point of the comic, and the compromise of making the lower 48 fit together is still likely to have been a factor. But I will definitely look into this today and get back to y'all. We can actually figure out the projection, or get close, since the N-S E-W borders are not at parallel to the x and y axes. So it's not Mercator - but duh that would never happen - but it's also not an imaginary "projection" that keeps the borders on the x and y axes but is also somehow equal area. Alaska, oddly, is rotated so its N-S border IS on the y axis. Hawai'i, meanwhile, has been rotated so it's counter clockwise relative to both the axes and to whatever the lower 48 are on. This seems to be so that it fits snugly under the lower 48.Paintadot (talk) 07:37, 6 May 2024 (UTC)
Now I feel like I've nerd-sniped you in the worst way! Sorry. Ianrbibtitlht (talk) 15:08, 7 May 2024 (UTC)
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