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United States congressional apportionment is the process by which seats in the
United States House of Representatives The United States House of Representatives, often referred to as the House of Representatives, the U.S. House, or simply the House, is the lower chamber of the United States Congress, with the Senate being the upper chamber. Together the ...
are distributed among the 50 states according to the most recent decennial
census A census is the procedure of systematically acquiring, recording and calculating information about the members of a given population. This term is used mostly in connection with national population and housing censuses; other common censuses in ...
mandated by the United States Constitution. Each state is apportioned a number of seats which approximately corresponds to its share of the aggregate population of the 50 states. Every state is constitutionally guaranteed at least one seat in the House and two seats in the Senate, regardless of population. The number of voting seats in the House of Representatives has been 435 since 1913, capped at that number by the
Reapportionment Act of 1929 The Reapportionment Act of 1929 (ch. 28, , ), also known as the Permanent Apportionment Act of 1929, is a combined census and apportionment bill enacted on June 18, 1929, that establishes a permanent method for apportioning a constant 435 seats ...
—except for a temporary (1959–1962) increase to 437 when
Alaska Alaska ( ; russian: Аляска, Alyaska; ale, Alax̂sxax̂; ; ems, Alas'kaaq; Yup'ik: ''Alaskaq''; tli, Anáaski) is a state located in the Western United States on the northwest extremity of North America. A semi-exclave of the U.S ...
and
Hawaii Hawaii ( ; haw, Hawaii or ) is a state in the Western United States, located in the Pacific Ocean about from the U.S. mainland. It is the only U.S. state outside North America, the only state that is an archipelago, and the only ...
were admitted into the Union.
Public Law 62-5 The Apportionment Act of 1911 (, ) was an apportionment bill passed by the United States Congress on August 8, 1911. The law initially set the number of members of the United States House of Representatives at 433, effective with the 63rd Congr ...
of 1911.
The Huntington–Hill method of equal proportions has been used to distribute the seats among the states since the
1940 census The United States census of 1940, conducted by the Census Bureau, determined the resident population of the United States to be 132,164,569, an increase of 7.3 percent over the 1930 population of 122,775,046 people. The census date of record wa ...
reapportionment. Federal law requires the
Clerk of the United States House of Representatives The Clerk of the United States House of Representatives is an officer of the United States House of Representatives, whose primary duty is to act as the chief record-keeper for the House. Along with the other House officers, the Clerk is ele ...
to notify each state government of the number of seats apportioned to the state no later than January 25 of the year immediately following each decennial
census A census is the procedure of systematically acquiring, recording and calculating information about the members of a given population. This term is used mostly in connection with national population and housing censuses; other common censuses in ...
. The size of a state's total congressional delegation (which in addition to representative(s) includes 2 senators for each state) also determines the size of its representation in the U.S. Electoral College, which elects the U.S. president.


Constitutional context

Article One, Section 2, Clause 3 of the United States Constitution initially provided: "Three-fifths of all other persons" refers to the inclusion of of the slaves in the population base. Following the end of the
Civil War A civil war or intrastate war is a war between organized groups within the same state (or country). The aim of one side may be to take control of the country or a region, to achieve independence for a region, or to change government polic ...
, the first of those provisions was superseded by Section 2 of the Fourteenth Amendment:


Reapportionment

Reapportionments normally occur following each decennial census, though the law that governs the total number of representatives and the method of apportionment to be carried into force at that time are enacted prior to the census. The decennial apportionment also determines the size of each state's representation in the U.S. Electoral College. Under Article II, Section 1, Clause 2 of the U.S. Constitution, the number of electors of any state equals the size of its total congressional delegation (House and Senate seats). Federal law requires the
Clerk of the House of Representatives The Clerk of the United States House of Representatives is an officer of the United States House of Representatives, whose primary duty is to act as the chief record-keeper for the House. Along with the other House officers, the Clerk is elec ...
to notify each state government no later than January 25 of the year immediately following the census of the number of seats to which it is entitled. Whether or not the number of seats has changed, the state determines the boundaries of
congressional districts Congressional districts, also known as electoral districts and legislative districts, electorates, or wards in other nations, are divisions of a larger administrative region that represent the population of a region in the larger congressional bod ...
—geographical areas within the state of approximately equal population—in a process called redistricting. Because the deadline for the House Clerk to report the results does not occur until the following January, and the states need sufficient time to perform the redistricting, the decennial census does not affect the elections that are held during that same year. For example, the electoral college apportionment and congressional races during the 2020 presidential election year were still based on the 2010 census results; all of the newly redrawn districts based on the 2020 census do not finally come into force until the 2022 midterm election winners are inaugurated in January 2023.


Number of members

The size of the U.S. House of Representatives refers to the total number of congressional districts (or seats) into which the land area of the United States proper has been divided. The number of voting representatives is currently set at 435. There are an additional five delegates to the House of Representatives. They represent the
District of Columbia ) , image_skyline = , image_caption = Clockwise from top left: the Washington Monument and Lincoln Memorial on the National Mall, United States Capitol, Logan Circle, Jefferson Memorial, White House, Adams Morgan ...
and the territories of
American Samoa American Samoa ( sm, Amerika Sāmoa, ; also ' or ') is an unincorporated territory of the United States located in the South Pacific Ocean, southeast of the island country of Samoa. Its location is centered on . It is east of the Internation ...
,
Guam Guam (; ch, Guåhan ) is an organized, unincorporated territory of the United States in the Micronesia subregion of the western Pacific Ocean. It is the westernmost point and territory of the United States (reckoned from the geographic ce ...
, the
Northern Mariana Islands The Northern Mariana Islands, officially the Commonwealth of the Northern Mariana Islands (CNMI; ch, Sankattan Siha Na Islas Mariånas; cal, Commonwealth Téél Falúw kka Efáng llól Marianas), is an unincorporated territory and commonwe ...
, which first elected a representative in 2008, and the U.S. Virgin Islands.
Puerto Rico Puerto Rico (; abbreviated PR; tnq, Boriken, ''Borinquen''), officially the Commonwealth of Puerto Rico ( es, link=yes, Estado Libre Asociado de Puerto Rico, lit=Free Associated State of Puerto Rico), is a Caribbean island and Unincorporated ...
also elects a
resident commissioner Resident commissioner was or is an official title of several different types of commissioners, who were or are representatives of any level of government. Historically, they were appointed by the British Crown in overseas protectorates (such ...
every four years.


Controversy and history

Since 1789, when the
United States Congress The United States Congress is the legislature of the federal government of the United States. It is bicameral, composed of a lower body, the House of Representatives, and an upper body, the Senate. It meets in the U.S. Capitol in Washi ...
first convened under the Constitution, the number of citizens per congressional district has risen from an average of 33,000 in 1790 to over 700,000 . Prior to the 20th century, the number of representatives increased every decade as more states joined the union, and the population increased. The ideal number of members has been a contentious issue since the country's founding. George Washington agreed that the original representation proposed during the
Constitutional Convention Constitutional convention may refer to: * Constitutional convention (political custom), an informal and uncodified procedural agreement *Constitutional convention (political meeting), a meeting of delegates to adopt a new constitution or revise an e ...
(one representative for every 40,000) was inadequate and supported an alteration to reduce that number to 30,000. This was the only time that Washington pronounced an opinion on any of the actual issues debated during the entire convention. Five years later, Washington was so insistent on having no more than 30,000 constituents per representative that he exercised the first presidential
veto A veto is a legal power to unilaterally stop an official action. In the most typical case, a president or monarch vetoes a bill to stop it from becoming law. In many countries, veto powers are established in the country's constitution. Veto ...
in history on a bill which allowed half states to go over the quota. In
Federalist No. 55 Federalist No. 55 is an essay by James Madison, the fifty-fifth of The Federalist Papers. It was published on February 13, 1788 under the pseudonym Publius, the name under which all The Federalist Papers were published. It is titled "The Total ...
,
James Madison James Madison Jr. (March 16, 1751June 28, 1836) was an American statesman, diplomat, and Founding Father. He served as the fourth president of the United States from 1809 to 1817. Madison is hailed as the "Father of the Constitution" for h ...
argued that the size of the House of Representatives has to balance the ability of the body to legislate with the need for legislators to have a relationship close enough to the people to understand their local circumstances, that such representatives' social class be low enough to sympathize with the feelings of the mass of the people, and that their power be diluted enough to limit their abuse of the public trust and interests. Madison also addressed Anti-Federalist claims that the representation would be inadequate, arguing that the major inadequacies are of minimal inconvenience since these will be cured rather quickly by virtue of decennial reapportionment. He noted, however, Madison argued against the assumption that more is better:


Global comparison and disparities

When talking about the populations within California's reapportioned House districts in 1951, a report from Duke University found that "
here Here is an adverb that means "in, on, or at this place". It may also refer to: Software * Here Technologies, a mapping company * Here WeGo (formerly Here Maps), a mobile app and map website by Here Television * Here TV (formerly "here!"), a ...
is not an excessive disparity in district populations, but he populations and disparities areperhaps larger than necessary." If the House continued to expand as it did prior to the
Reapportionment Act of 1929 The Reapportionment Act of 1929 (ch. 28, , ), also known as the Permanent Apportionment Act of 1929, is a combined census and apportionment bill enacted on June 18, 1929, that establishes a permanent method for apportioning a constant 435 seats ...
, it would currently have 1,156 members (still just the second largest lower house, after China). This would give the representatives, on average, about 287 thousand constituents, on par with Japan's National Diet. The United States also has comparatively massive constituencies for
OECD The Organisation for Economic Co-operation and Development (OECD; french: Organisation de coopération et de développement économiques, ''OCDE'') is an intergovernmental organisation with 38 member countries, founded in 1961 to stimulate ...
members, with almost three times more constituents per legislator on average than Japan and
Mexico Mexico ( Spanish: México), officially the United Mexican States, is a country in the southern portion of North America. It is bordered to the north by the United States; to the south and west by the Pacific Ocean; to the southeast by Guate ...
. The U.S. has the third most populous average legislative districts in the world (second if the EU's
European Parliament The European Parliament (EP) is one of the legislative bodies of the European Union and one of its seven institutions. Together with the Council of the European Union (known as the Council and informally as the Council of Ministers), it adop ...
is not included).


Membership cap

The
Apportionment Act of 1911 The Apportionment Act of 1911 (, ) was an apportionment bill passed by the United States Congress on August 8, 1911. The law initially set the number of members of the United States House of Representatives at 433, effective with the 63rd Congr ...
(
Public Law 62-5 The Apportionment Act of 1911 (, ) was an apportionment bill passed by the United States Congress on August 8, 1911. The law initially set the number of members of the United States House of Representatives at 433, effective with the 63rd Congr ...
) raised the membership of the U.S. House to 433 and provided for an apportionment. It also provided for additional seats upon the admissions of
Arizona Arizona ( ; nv, Hoozdo Hahoodzo ; ood, Alĭ ṣonak ) is a U.S. state, state in the Southwestern United States. It is the list of U.S. states and territories by area, 6th largest and the list of U.S. states and territories by population, 14 ...
and
New Mexico ) , population_demonym = New Mexican ( es, Neomexicano, Neomejicano, Nuevo Mexicano) , seat = Santa Fe, New Mexico, Santa Fe , LargestCity = Albuquerque, New Mexico, Albuquerque , LargestMetro = Albuquerque metropolitan area, Tiguex , Offi ...
as states, increasing the number to 435 in 1912. In 1921, Congress failed to reapportion the House membership as required by the United States Constitution. This failure to reapportion may have been politically motivated, as the newly elected Republican majority may have feared the effect such a reapportionment would have on their future electoral prospects. A reapportionment in 1921 in the traditional fashion would have increased the size of the House to 483 seats, but many members would have lost their seats due to the population shifts, and the House chamber did not have adequate seats for 483 members. By 1929, no reapportionment had been made since 1911, and there was vast representational inequity, measured by the average district size. By 1929 some states had districts twice as large as others due to population growth and demographic shift. In 1929 Congress (with Republican control of both houses of Congress and the presidency) passed the
Reapportionment Act of 1929 The Reapportionment Act of 1929 (ch. 28, , ), also known as the Permanent Apportionment Act of 1929, is a combined census and apportionment bill enacted on June 18, 1929, that establishes a permanent method for apportioning a constant 435 seats ...
which capped the size of the House at 435 (the then current number) and established a permanent method for apportioning a constant 435 seats. This cap has remained unchanged since then, except for a temporary increase to 437 members upon the 1959 admission of
Alaska Alaska ( ; russian: Аляска, Alyaska; ale, Alax̂sxax̂; ; ems, Alas'kaaq; Yup'ik: ''Alaskaq''; tli, Anáaski) is a state located in the Western United States on the northwest extremity of North America. A semi-exclave of the U.S ...
and
Hawaii Hawaii ( ; haw, Hawaii or ) is a state in the Western United States, located in the Pacific Ocean about from the U.S. mainland. It is the only U.S. state outside North America, the only state that is an archipelago, and the only ...
into the Union. Two states,
Wyoming Wyoming () is a state in the Mountain West subregion of the Western United States. It is bordered by Montana to the north and northwest, South Dakota and Nebraska to the east, Idaho to the west, Utah to the southwest, and Colorado to the sou ...
and
Vermont Vermont () is a state in the northeast New England region of the United States. Vermont is bordered by the states of Massachusetts to the south, New Hampshire to the east, and New York to the west, and the Canadian province of Quebec to the ...
, have populations smaller than the average for a single district, although neither state has fewer people than the least populous congressional districts.


Proposed expansion

Among the
Bill of Rights A bill of rights, sometimes called a declaration of rights or a charter of rights, is a list of the most important rights to the citizens of a country. The purpose is to protect those rights against infringement from public officials and pri ...
amendments to the United States Constitution proposed by Congress in 1789, was one addressing the number of seats in the House. It attempted to set a pattern for growth of the House along with the population, but has not been ratified. With the nation's population reaching approximately 308.7 million according to the 2010 census, the proposed amendment would have called for an up-to 6,000-member House. One proposal to alleviate the current constituency disparities and the high average number of constituents in many states' congressional districts is the " Wyoming rule." Operating similar to New Zealand's method of allocation for proportional representation, it would give the least populous state (which has been Wyoming since 1990) one representative and then create districts in other states with the same population. Another proposed expansion rule, the
cube root rule The cube root law is an observation in political science that the number of members of a unicameral legislature, or the lower house of a bicameral legislature, is about the cube root of the population being represented. The rule was devised by Rei ...
, calls for the membership of the legislature to be based on the cube root (rounded up) of the U.S. population at the last census. For example, such a rule would call for 692 members of the House based on the 2020 United States census. An additional House member would be added each time the ''national'' population ''exceeds'' the next cube; in this case, the next House member would be added when the census population reached 331,373,889, and the one after that at 332,812,558. A variation would split the representation between the House and the Senate, e.g. 592 members in the House (692 − 100 senators). On May 21, 2001, Rep.
Alcee Hastings Alcee Lamar Hastings ( ; September 5, 1936 – April 6, 2021) was an American politician and judge from the state of Florida. Hastings was nominated to the United States District Court for the Southern District of Florida by President Jimmy Cart ...
sent a dear colleague letter pointing out that U.S. expansion of its legislature had not kept pace with other countries. In 2007, during the , Representative Tom Davis introduced a bill in the House of Representatives that would add two seats to the House, one for Utah and one for the
District of Columbia ) , image_skyline = , image_caption = Clockwise from top left: the Washington Monument and Lincoln Memorial on the National Mall, United States Capitol, Logan Circle, Jefferson Memorial, White House, Adams Morgan ...
. It was passed by the House, but was tripped up by procedural hurdles in the Senate and withdrawn from consideration. An identical bill was reintroduced during the . In February 2009 the Senate adopted the measure 61–37. In April 2010, however, House leaders decided to shelve the proposal.


Apportionment methods

Apart from the requirement that each state is to be entitled to at least one representative in the House of Representatives, the number of representatives in each state is in principle to be proportional to its population. Since the adoption of the
Constitution A constitution is the aggregate of fundamental principles or established precedents that constitute the legal basis of a polity, organisation or other type of entity and commonly determine how that entity is to be governed. When these princip ...
, five distinct apportionment methods have been used. The first apportionment was contained in Art. I, § 2, cl. 3 of the Constitution. After the first census in 1790, Congress passed the
Apportionment Act of 1792 The Apportionment Act of 1792 () was the first Apportionment Act passed by the United States Congress on April 10, 1792, and signed into law by President George Washington on April 14, 1792. The Act set the number of members of the United Stat ...
and adopted the Jefferson method to apportion U.S. representatives to the states based on population. The Jefferson method required fractional
remainder In mathematics, the remainder is the amount "left over" after performing some computation. In arithmetic, the remainder is the integer "left over" after dividing one integer by another to produce an integer quotient (integer division). In algeb ...
s to be discarded when calculating each state's total number of U.S. representatives and was used until the 1830 census. The Webster method, proposed in 1832 by
Daniel Webster Daniel Webster (January 18, 1782 – October 24, 1852) was an American lawyer and statesman who represented New Hampshire and Massachusetts in the U.S. Congress and served as the U.S. Secretary of State under Presidents William Henry Harri ...
and adopted for the 1840 census, allocated an additional representative to states with a fractional remainder greater than 0.5. The Hamilton/ Vinton ( largest remainder) method was used from 1850 until 1900. The Vinton or Hamilton method was shown to be susceptible to an
apportionment paradox An apportionment paradox exists when the rules for apportionment in a political system produce results which are unexpected or seem to violate common sense. To apportion is to divide into parts according to some rule, the rule typically being one ...
.. The
Apportionment Act of 1911 The Apportionment Act of 1911 (, ) was an apportionment bill passed by the United States Congress on August 8, 1911. The law initially set the number of members of the United States House of Representatives at 433, effective with the 63rd Congr ...
, in addition to setting the number of U.S. representatives at 435, returned to the Webster method, which was used following the 1910 and 1930 censuses (no reapportionment was done after the 1920 census). The current method, known as the
Huntington–Hill method The Huntington–Hill method is a way of allocating seats proportionally for representative assemblies such as the United States House of Representatives. The method assigns seats by finding a modified divisor ''D'' such that each constituency's ...
or method of equal proportions, was adopted in 1941 for reapportionment based on the 1940 census and beyond. The revised method was necessary in the context of the cap on the number of representatives set in the
Reapportionment Act of 1929 The Reapportionment Act of 1929 (ch. 28, , ), also known as the Permanent Apportionment Act of 1929, is a combined census and apportionment bill enacted on June 18, 1929, that establishes a permanent method for apportioning a constant 435 seats ...
.


The method of equal proportions

The apportionment method currently used is the method of equal proportions, which minimizes the
percentage difference In any quantitative science, the terms relative change and relative difference are used to compare two quantities while taking into account the "sizes" of the things being compared, i.e. dividing by a ''standard'' or ''reference'' or ''starting'' va ...
s in the number of people per representative among the different states. The resulting apportionment is optimal in the sense that any additional transfer of a seat from one state to another would result in larger percentage differences. In this method, as a first step, each of the 50 states is given its one guaranteed seat in the House of Representatives, leaving 385 seats to assign. The remaining seats are allocated one at a time, to the state with the highest priority number. Thus, the 51st seat would go to the most populous state (currently California). The priority number is determined by the ratio of the state population to the
geometric mean In mathematics, the geometric mean is a mean or average which indicates a central tendency of a set of numbers by using the product of their values (as opposed to the arithmetic mean which uses their sum). The geometric mean is defined as the ...
of the number of seats it currently holds in the assignment process, ''n'' (initially 1), and the number of seats it ''would'' hold ''if'' the seat were assigned to it, ''n''+1. Symbolically, the priority number ''An'' is : A_ = \frac where ''P'' is the population of the state, and ''n'' is the number of seats it currently holds before the possible allocation of the next seat. An equivalent, recursive definition is : A_ = \sqrt \ A_ : A_ = \sqrt \ A_ where ''n'' is still the number of seats the state has before allocation of the next (in other words, for the ''m''th allocation, ''n'' = ''m''-1, where ''m'' > 1), and for ''n'' = 1, the initial ''A''1 is explicitly defined by the non-recursive formula as : A_ = \frac Consider the reapportionment following the 2010 U.S. census: beginning with all states initially being allocated one seat, the largest value of ''A''1 corresponds to the largest state, California, which is allocated seat 51. After being allocated its 2nd seat, its priority value decreases to its ''A''2 value, which is reordered to a position back in line. The 52nd seat goes to Texas, the 2nd largest state, because its ''A''1 priority value is larger than the ''An'' of any other state. However, the 53rd seat goes back to California because its ''A''2 priority value is larger than the ''An'' of any other state. The 54th seat goes to New York because its ''A''1 priority value is larger than the ''An'' of any other state at this point. This process continues until all remaining seats are assigned. Each time a state is assigned a seat, ''n'' is incremented by 1, causing its priority value to be reduced and reordered among the states, whereupon another state normally rises to the top of the list. The Census 2010 Ranking of Priority Values shows the order in which seats 51–435 were apportioned after the 2010 census, with additional listings for the next five priorities.
Minnesota Minnesota () is a state in the upper midwestern region of the United States. It is the 12th largest U.S. state in area and the List of U.S. states and territories by population, 22nd most populous, with over 5.75 million residents. Minne ...
was allocated the final (435th) seat.
North Carolina North Carolina () is a state in the Southeastern region of the United States. The state is the 28th largest and 9th-most populous of the United States. It is bordered by Virginia to the north, the Atlantic Ocean to the east, Georgia a ...
missed its 14th seat by 15,754 residents as the 436th seat to be allocated; ten years earlier it had gained its 13th seat as the 435th seat to be allocated based on the 2000 census. The Census 2020 Ranking of Priority Values shows the order in which seats 51–435 were apportioned after the 2020 census, with additional listings for the next ten priorities. For the second time in a row, Minnesota was allocated the final (435th) seat. If either New York had registered 89 more residents or Minnesota had registered 26 fewer residents, New York wo