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United States congressional apportionment

From Encyclopedia Jr, free information reference for Kids

Allocation of congressional districts after the 2000 census.

The allocation among states of the 435 seats in the United States House of Representatives changes each decade following the decennial United States Census. Each state is apportioned a number of seats based upon its population. This number also determines the state's number of electors in presidential elections, which equals the size of their congressional delegation (House plus Senate).

Reapportionment occurs every year ending in "1", the year after the decennial census. After seats have been reapportioned, each state determines the boundaries of Congressional districts within the state--geographical areas of approximately equal population--a process called redistricting.





Contents

[edit] House size

Ratio of representation in the House, 1789-1923
Years Source Constituents per Representative
1789–1793 U.S. Constitution 30,000
1793–1803 U.S. Census of 1790 30,000
1803–1813 U.S. Census of 1800 33,000
1813–1823 U.S. Census of 1810 35,000
1823–1833 U.S. Census of 1820 40,000
1833–1843 U.S. Census of 1830 47,700
1843–1853 U.S. Census of 1840 70,680
1853–1863 U.S. Census of 1850 93,425
1863–1873 U.S. Census of 1860 127,381
1873–1883 U.S. Census of 1870 131,425
1883–1893 U.S. Census of 1880 151,912
1893–1903 U.S. Census of 1890 173,901
1903–1913 U.S. Census of 1900 194,182
1913–1923 U.S. Census of 1910 212,407

The United States Constitution requires that

The number of Representatives shall not exceed one for every thirty thousand, but each state shall have at least one Representative (Article I, Section 2, Paragraph 3)

Prior to the twentieth century, the number of representatives increased every decade as more states joined the union, and the population increased.

In 1911, Public Law 62-5 set the membership of the U.S. House at 433; with the subsequent admission of Arizona and New Mexico as states, membership increased to 435, where it has remained (except for a brief period from 1959 to 1963 following the admission of Alaska and Hawaii, during which House membership was 437). If the ratio as specified by the Constitution of one representative for every 30,000 people were maintained today, the House of Representatives would have about 10,000 members. Instead, today one member represents about 650,000 people, which varies by state.

Proposals have been made to add voting representation for the District of Columbia, now represented only by a non-voting delegate, who is not counted as one of the 435 House representatives. A recent bill, the DC Fair and Equal House Voting Rights Act of 2006, if passed, would resolve the issue by permanently increasing House membership to 437. One of the new members would be from the District of Columbia; the other would be from the next state in line to receive another House seat (as described below), presently Utah. The political appeal of this plan lies in its balancing of a new, presumably Democratic seat (D.C.) with a new likely Republican seat (Utah).





[edit] Apportionment methods

Apart from the fact that the number of delegates is at least 1 for each state, as required by the Constitution, a state's number of representatives is in principle proportional to population (thus equalizing the size of congressional districts nationwide). No method of calculating this desired result, however, has been found perfectly satisfactory in practice. Five distinct methods have been used since the adoption of the Constitution, all of them susceptible to mathematical paradoxes.

[edit] The Equal Proportions Method

The Equal Proportions method is the apportionment methodology currently used.

In this method, as a first step, each state is automatically guaranteed at least one seat in Congress. That means there are a total of 385 seats left to hand out.

The remaining seats are handed out one at a time, to the state that "deserves" another seat the most. Thus, the 51st seat always goes to the largest state (currently California).

The apportionment method uses a mathematical formula to express the priority ordering of states for an additional seat. For instance, in the example above, California has already receieved a second seat and thus "deserves" a third one less.

The formula used by the method of equal proportions is

A=\frac{P}{\sqrt{n(n+1)}}

where P is the population of the state, and n is the number of seats it currently has. An equivalent, recursive definition is

A_{n}=(A_{n-1})(\frac{n}{n+2})^{-\frac{1}{2}}

where n is still the number of seats the state has, and for n = 1, A is explicitly defined as

A_{1}=\frac{P}{\sqrt{2}}

A sequential definition may likewise be given where the n = 1 case is defined as above, but the formula is

A_{n+1}=(A_{n})(\frac{n-1}{n+1})^{-\frac{1}{2}}

When all states have 1 seat, the largest value of A corresponds to the largest state. But now that California has 2 seats, its priority value decreases, and it has to take a step back in line. The 52nd seat goes to Texas, the 2nd largest state, but the 53rd goes back to California, and so on until all the seats have been handed out. Each time a state gets a seat, its priority drops and another state comes to the top of the list.

The Census 2000 Ranking of Priority Values[1] shows the order in which seats 51-435 were apportioned after the 2000 Census, with additional listings for the next five priorities. North Carolina was allocated the final (435th) seat. Utah (priority list 436) missed a fourth seat by only 857 residents. Legal action by Utah to amend the results, citing irregularities in North Carolina and undercounting of Utah's overseas population, was unsuccessful. However, it may still get its fourth seat if the DC Fair and Equal House Voting Rights Act of 2006 is passed.

[edit] State Congressional Delegation Size

[edit] 1789-1910

  1789 1790 1800 1810 1820 1830 1840 1850 1860 1870 1880 1890 1900 1910
Alabama -- -- -- 1 3 5 7 7 6 8 8 9 10 10
Arizona -- -- -- -- -- -- -- -- -- -- -- -- -- 1
Arkansas -- -- -- -- -- 1 1 2 3 4 5 6 7 7
California -- -- -- -- -- -- 2 2 3 4 6 7 8 11
Colorado -- -- -- -- -- -- -- -- -- 1 1 2 3 4
Connecticut 5 7 7 7 6 6 6 4 4 4 4 4 5 5
Delaware 1 1 1 2 1 1 1 1 1 1 1 1 1 1
Florida -- -- -- -- -- -- 1 1 1 2 2 2 3 4
Georgia 3 2 4 6 7 9 8 8 7 9 10 11 11 12
Idaho -- -- -- -- -- -- -- -- -- -- 1 1 1 2
Illinois -- -- -- 1 1 3 7 9 14 19 20 22 25 27
Indiana -- -- -- 1 3 7 10 11 11 13 13 13 13 13
Iowa -- -- -- -- -- -- 1 2 6 9 11 11 11 11
Kansas -- -- -- -- -- -- -- -- 1 3 7 8 8 8
Kentucky -- 2 6 10 12 13 10 10 9 10 11 11 11 11
Louisiana -- -- -- 1 3 3 4 4 5 6 6 6 7 8
Maine -- -- -- 7[2] 7 8 7 6 5 5 4 4 4 4
Maryland 6 8 9 9 9 8 6 6 5 6 6 6 6 6
Massachusetts 8 14 17 13[2] 13 12 10 11 10 11 12 13 14 16
Michigan -- -- -- -- -- 1 3 4 6 9 11 12 12 13
Minnesota -- -- -- -- -- -- -- 1 2 3 5 7 9 10
Mississippi -- -- -- 1 1 2 4 5 5 6 7 7 8 8
Missouri -- -- -- -- 1 2 5 7 9 13 14 15 16 16
  1789 1790 1800 1810 1820 1830 1840 1850 1860 1870 1880 1890 1900 1910
Montana -- -- -- -- -- -- -- -- -- -- 1 1 1 2
Nebraska -- -- -- -- -- -- -- -- 1 1 3 6 6 6
Nevada -- -- -- -- -- -- -- -- 1 1 1 1 1 1
New Hampshire 3 4 5 6 6 5 4 3 3 3 2 2 2 2
New Jersey 4 5 6 6 6 6 5 5 5 7 7 8 10 12
New Mexico -- -- -- -- -- -- -- -- -- -- -- -- -- 1
New York 6 10 17 27 34 40 34 33 31 33 34 34 37 43
North Carolina 5 10 12 13 13 13 9 8 7 8 9 9 10 10
North Dakota -- -- -- -- -- -- -- -- -- -- 1 1 2 3
Ohio -- -- 1 6 14 19 21 21 19 20 21 21 21 22
Oklahoma -- -- -- -- -- -- -- -- -- -- -- -- 5 8
Oregon -- -- -- -- -- -- -- 1 1 1 1 2 2 3
Pennsylvania 8 13 18 23 26 28 24 25 24 27 28 30 32 36
Rhode Island 1 2 2 2 2 2 2 2 2 2 2 2 2 3
South Carolina 5 6 8 9 9 9 7 6 4 5 7 7 7 7
South Dakota -- -- -- -- -- -- -- -- -- -- 2 2 2 3
Tennessee -- 1 3 6 9 13 11 10 8 10 10 10 10 10
Texas -- -- -- -- -- -- 2 2 4 6 11 13 16 18
Utah -- -- -- -- -- -- -- -- -- -- -- 1 1 2
Vermont -- 2 4 6 5 5 4 3 3 3 2 2 2 2
Virginia 10 19 22 23 22 21 15 13 11 9[3] 10 10 10 10
Washington -- -- -- -- -- -- -- -- -- -- 1 2 3 5
West Virginia -- -- -- - -- -- -- -- -- 3[3] 4 4 5 6
Wisconsin -- -- -- -- -- -- 2 3 6 8 9 10 11 11
Wyoming -- -- -- -- -- -- -- -- -- -- 1 1 1 1
  1789 1790 1800 1810 1820 1830 1840 1850 1860 1870 1880 1890 1900 1910
Total: 65 106 142 186 213 242 232 237 243 293 332 357 391 435

[edit] 1920-present

  1920 1930 1940 1950 1960 1970 1980 1990 2000
Alabama 10 9 9 9 8 7 7 7 7
Alaska -- -- -- 1 1 1 1 1 1
Arizona 1 1 2 2 3 4 5 6 8
Arkansas 7 7 7 6 4 4 4 4 4
California 11 20 23 30 38 43 45 52 53
Colorado 4 4 4 4 4 5 6 6 7
Connecticut 5 6 6 6 6 6 6 6 5
Delaware 1 1 1 1 1 1 1 1 1
Florida 4 5 6 8 12 15 19 23 25
Georgia 12 10 10 10 10 10 10 11 13
Hawaii -- -- -- 1 2 2 2 2 2
Idaho 2 2 2 2 2 2 2 2 2
Illinois 27 27 26 25 24 24 22 20 19
Indiana 13 12 11 11 11 11 10 10 9
Iowa 11 9 8 8 7 6 6 5 5
Kansas 8 7 6 6 5 5 5 4 4
Kentucky 11 9 9 8 7 7 7 6 6
Louisiana 8 8 8 8 8 8 8 7 7
Maine 4 3 3 3 2 2 2 2 2
Maryland 6 6 6 7 8 8 8 8 8
Massachusetts 16 15 14 14 12 12 11 10 10
Michigan 13 17 17 18 19 19 18 16 15
Minnesota 10 9 9 9 8 8 8 8 8
Mississippi 8 7 7 6 5 5 5 5 4
Missouri 16 13 13 11 10 10 9 9 9
  1920 1930 1940 1950 1960 1970 1980 1990 2000
Montana 2 2 2 2 2 2 2 1 1
Nebraska 6 5 4 4 3 3 3 3 3
Nevada 1 1 1 1 1 1 2 2 3
New Hampshire 2 2 2 2 2 2 2 2 2
New Jersey 12 14 14 14 15 15 14 13 13
New Mexico 1 1 2 2 2 2 3 3 3
New York 43 45 45 43 41 39 34 31 29
North Carolina 10 11 12 12 11 11 11 12 13
North Dakota 3 2 2 2 2 1 1 1 1
Ohio 22 24 23 23 24 23 21 19 18
Oklahoma 8 9 8 6 6 6 6 6 5
Oregon 3 3 4 4 4 4 5 5 5
Pennsylvania 36 34 33 30 27 25 23 21 19
Rhode Island 3 2 2 2 2 2 2 2 2
South Carolina 7 6 6 6 6 6 6 6 6
South Dakota 3 2 2 2 2 2 1 1 1
Tennessee 10 9 10 9 9 8 9 9 9
Texas 18 21 21 22 23 24 27 30 32
Utah 2 2 2 2 2 2 3 3 3
Vermont 2 1 1 1 1 1 1 1 1
Virginia 10 9 9 10 10 10 10 11 11
Washington 5 6 6 7 7 7 8 9 9
West Virginia 6 6 6 6 5 4 4 3 3
Wisconsin 11 10 10 10 10 9 9 9 8
Wyoming 1 1 1 1 1 1 1 1 1
  1920 1930 1940 1950 1960 1970 1980 1990 2000
Total: 435 435 435 437 435 435 435 435 435

[edit] Notes

  • Delegate counts in italics represent temporary counts assigned by Congress until the next decennial census or by the U.S. Constitution in 1789 until the first U.S. Census.
  • Elections held in the year of a census use the apportionment determined by the previous census.
  1. ^ census.gov
  2. ^ a b The state of Maine was formed out of portions of Massachusetts in 1820.
  3. ^ a b The state of West Virginia was formed out of portions of Virginia in 1863.

[edit] See also

[edit] External links

  • Thirty-thousand.org:

Citation Help

APA Style: Reference List

Encyclopedia Jr (2007). United states congressional apportionment. Retrieved May 28, 2012, from http://www.encyclopediajr.com/wikiarticle/u/n/i/united_states_congressional_apportionment.

MLA Style: Works Cited Page

"United states congressional apportionment." Encyclopedia Jr. 2007. 28 May 2012 <http://www.encyclopediajr.com/wikiarticle/u/n/i/united_states_congressional_apportionment>.


This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article united_states_congressional_apportionment.


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