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Saturday, October 7, 2023

Free trade

From Wikipedia, the free encyclopedia
https://en.wikipedia.org/wiki/Free_trade

Free trade is a trade policy that does not restrict imports or exports. In government, free trade is predominantly advocated by political parties that hold economically liberal positions, while economic nationalist and left-wing political parties generally support protectionism, the opposite of free trade.

Most nations are today members of the World Trade Organization multilateral trade agreements. Free trade was best exemplified by the unilateral stance of Great Britain who reduced regulations and duties on imports and exports from the mid-nineteenth century to the 1920s. An alternative approach, of creating free trade areas between groups of countries by agreement, such as that of the European Economic Area and the Mercosur open markets, creates a protectionist barrier between that free trade area and the rest of the world. Most governments still impose some protectionist policies that are intended to support local employment, such as applying tariffs to imports or subsidies to exports. Governments may also restrict free trade to limit exports of natural resources. Other barriers that may hinder trade include import quotas, taxes and non-tariff barriers, such as regulatory legislation.

Historically, openness to free trade substantially increased from 1815 to the outbreak of World War I. Trade openness increased again during the 1920s, but collapsed (in particular in Europe and North America) during the Great Depression. Trade openness increased substantially again from the 1950s onwards (albeit with a slowdown during the 1973 oil crisis). Economists and economic historians contend that current levels of trade openness are the highest they have ever been.

Economists are generally supportive of free trade. There is a broad consensus among economists that protectionism has a negative effect on economic growth and economic welfare while free trade and the reduction of trade barriers has a positive effect on economic growth and economic stability. However, in the short run, liberalization of trade can cause significant and unequally distributed losses and the economic dislocation of workers in import-competing sectors.

Features

  • Trade of goods without taxes (including tariffs) or other trade barriers (e.g., quotas on imports or subsidies for producers).
  • Trade in services without taxes or other trade barriers.
  • The absence of "trade-distorting" policies (such as taxes, subsidies, regulations, or laws) that give some firms, households, or factors of production an advantage over others.
  • Unregulated access to markets.
  • Unregulated access to market information.
  • Inability of firms to distort markets through government-imposed monopoly or oligopoly power.
  • Trade agreements which encourage free trade.

Economics

Economic models

Two simple ways to understand the proposed benefits of free trade are through David Ricardo's theory of comparative advantage and by analyzing the impact of a tariff or import quota. An economic analysis using the law of supply and demand and the economic effects of a tax can be used to show the theoretical benefits and disadvantages of free trade.

Most economists would recommend that even developing nations should set their tariff rates quite low, but the economist Ha-Joon Chang, a proponent of industrial policy, believes higher levels may be justified in developing nations because the productivity gap between them and developed nations today is much higher than what developed nations faced when they were at a similar level of technological development. Underdeveloped nations today, Chang believes, are weak players in a much more competitive system. Counterarguments to Chang's point of view are that the developing countries are able to adopt technologies from abroad whereas developed nations had to create new technologies themselves and that developing countries can sell to export markets far richer than any that existed in the 19th century.

If the chief justification for a tariff is to stimulate infant industries, it must be high enough to allow domestic manufactured goods to compete with imported goods in order to be successful. This theory, known as import substitution industrialization, is largely considered ineffective for currently developing nations.

Tariffs

The light red regions are the net loss to society caused by the existence of the tariff.

The chart at the right analyzes the effect of the imposition of an import tariff on some imaginary good. Prior to the tariff, the price of the good in the world market and hence in the domestic market is Pworld. The tariff increases the domestic price to Ptariff. The higher price causes domestic production to increase from QS1 to QS2 and causes domestic consumption to decline from QC1 to QC2.

This has three effects on societal welfare. Consumers are made worse off because the consumer surplus (green region) becomes smaller. Producers are better off because the producer surplus (yellow region) is made larger. The government also has additional tax revenue (blue region). However, the loss to consumers is greater than the gains by producers and the government. The magnitude of this societal loss is shown by the two pink triangles. Removing the tariff and having free trade would be a net gain for society.

An almost identical analysis of this tariff from the perspective of a net producing country yields parallel results. From that country's perspective, the tariff leaves producers worse off and consumers better off, but the net loss to producers is larger than the benefit to consumers (there is no tax revenue in this case because the country being analyzed is not collecting the tariff). Under similar analysis, export tariffs, import quotas and export quotas all yield nearly identical results.

Sometimes consumers are better off and producers worse off and sometimes consumers are worse off and producers are better off, but the imposition of trade restrictions causes a net loss to society because the losses from trade restrictions are larger than the gains from trade restrictions. Free trade creates winners and losers, but theory and empirical evidence show that the gains from free trade are larger than the losses.

A 2021 study found that across 151 countries over the period 1963–2014, "tariff increases are associated with persistent, economically and statistically significant declines in domestic output and productivity, as well as higher unemployment and inequality, real exchange rate appreciation, and insignificant changes to the trade balance."

Technology and innovation

Economic models indicate that free trade leads to greater technology adoption and innovation.

Productivity and welfare

A 2023 study in Journal of Political Economy found that reductions in trade costs since 1980 caused increases in agricultural productivity, food consumption and welfare across the world. The welfare gains were particularly large in some developing countries.

Trade diversion

According to mainstream economics theory, the selective application of free trade agreements to some countries and tariffs on others can lead to economic inefficiency through the process of trade diversion. It is efficient for a good to be produced by the country which is the lowest cost producer, but this does not always take place if a high cost producer has a free trade agreement while the low cost producer faces a high tariff. Applying free trade to the high cost producer and not the low cost producer as well can lead to trade diversion and a net economic loss. This reason is why many economists place such high importance on negotiations for global tariff reductions, such as the Doha Round.

Opinions

Political poster from the British Liberal Party displaying their views on the differences between an economy based on free trade and protectionism. The free-trade shop is shown as full to the brim with customers due to its low prices. The shop based upon protectionism is shown as suffering from high prices and a lack of customers, with animosity between the business owner and the regulator.

Economist opinions

The literature analysing the economics of free trade is rich. Economists have done extensive work on the theoretical and empirical effects of free trade. Although it creates winners and losers, the broad consensus among economists is that free trade provides a net gain for society. In a 2006 survey of American economists (83 responders), "87.5% agree that the U.S. should eliminate remaining tariffs and other barriers to trade" and "90.1% disagree with the suggestion that the U.S. should restrict employers from outsourcing work to foreign countries".

Quoting Harvard economics professor N. Gregory Mankiw, "Few propositions command as much consensus among professional economists as that open world trade increases economic growth and raises living standards". In a survey of leading economists, none disagreed with the notion that "freer trade improves productive efficiency and offers consumers better choices, and in the long run these gains are much larger than any effects on employment".

Paul Krugman stated that free trade is greatly beneficial to the world as a whole, and especially beneficial to people in poorer nations, since it allows them to increase their standards of living. He also stated in 2007 that as the US trades more with less-industrialized countries whose workers are paid less than equivalent US workers (2007 wages in Mexico were 1/10th what they were in the US, and in China less than 1/20th), that increased trade with those countries will put downward pressure on unskilled labor rates in the US.

Public opinions

An overwhelming number of people internationally – both in developed and developing countries – support trade with other countries, but are more split when it comes to whether or not they believe trade creates jobs, increases wages, and decreases prices. The median belief in advanced economies is that trade increases wages, with 31 percent of people believing it does, compared to 27 percent who believe it does not. In emerging economies, 47 percent of people believe trade increases wages, compared to 20 percent who says it lowers wages. There is a positive relationship of 0.66 between the average GDP growth rate for the years 2014 to 2017 and the percentage of people in a given country that say trade increases wages. Most people, in both advanced and emerging economies, believe that trade increases prices. 35 percent of people in advanced economies and 56 percent in emerging economies believe trade increases prices, and 29 percent and 18 percent, respectively, believe that trade lowers prices. Those with a higher level of education are more likely than those with less education to believe that trade lowers prices.

History

Early era

David Ricardo

The notion of a free trade system encompassing multiple sovereign states originated in a rudimentary form in 16th century Imperial Spain. American jurist Arthur Nussbaum noted that Spanish theologian Francisco de Vitoria was "the first to set forth the notions (though not the terms) of freedom of commerce and freedom of the seas". Vitoria made the case under principles of jus gentium. However, it was two early British economists Adam Smith and David Ricardo who later developed the idea of free trade into its modern and recognizable form.

Economists who advocated free trade believed trade was the reason why certain civilizations prospered economically. For example, Smith pointed to increased trading as being the reason for the flourishing of not just Mediterranean cultures such as Egypt, Greece and Rome, but also of Bengal (East India) and China. Netherlands prospered greatly after throwing off Spanish Imperial rule and pursuing a policy of free trade. This made the free trade/mercantilist dispute the most important question in economics for centuries. Free trade policies have battled with mercantilist, protectionist, isolationist, socialist, populist and other policies over the centuries.

The Ottoman Empire had liberal free trade policies by the 18th century, with origins in capitulations of the Ottoman Empire, dating back to the first commercial treaties signed with France in 1536 and taken further with capitulations in 1673, in 1740 which lowered duties to only 3% for imports and exports and in 1790. Ottoman free trade policies were praised by British economists advocating free trade such as J. R. McCulloch in his Dictionary of Commerce (1834), but criticized by British politicians opposing free trade such as Prime Minister Benjamin Disraeli, who cited the Ottoman Empire as "an instance of the injury done by unrestrained competition" in the 1846 Corn Laws debate, arguing that it destroyed what had been "some of the finest manufactures of the world" in 1812.

Average tariff rates in France, the United Kingdom and the United States

Trade in colonial America was regulated by the British mercantile system through the Acts of Trade and Navigation. Until the 1760s, few colonists openly advocated for free trade, in part because regulations were not strictly enforced (New England was famous for smuggling), but also because colonial merchants did not want to compete with foreign goods and shipping. According to historian Oliver Dickerson, a desire for free trade was not one of the causes of the American Revolution. "The idea that the basic mercantile practices of the eighteenth century were wrong", wrote Dickerson, "was not a part of the thinking of the Revolutionary leaders".

Free trade came to what would become the United States as a result of the American Revolution. After the British Parliament issued the Prohibitory Act in 1775, blockading colonial ports, the Continental Congress responded by effectively declaring economic independence, opening American ports to foreign trade on 6 April 1776 – three months before declaring sovereign independence. According to historian John W. Tyler, "[f]ree trade had been forced on the Americans, like it or not".

In March 1801, the Pope Pius VII ordered some liberalization of trade to face the economic crisis in the Papal States with the motu proprio Le più colte. Despite this, the export of national corn was forbidden to ensure the food for the Papal States.

Britain waged two Opium Wars to force China to legalize the opium trade and to open all of China to British merchants.

In Britain, free trade became a central principle practiced by the repeal of the Corn Laws in 1846. Large-scale agitation was sponsored by the Anti-Corn Law League. Under the Treaty of Nanking, China opened five treaty ports to world trade in 1843. The first free trade agreement, the Cobden-Chevalier Treaty, was put in place in 1860 between Britain and France which led to successive agreements between other countries in Europe.

Many classical liberals, especially in 19th and early 20th century Britain (e.g. John Stuart Mill) and in the United States for much of the 20th century (e.g. Henry Ford and Secretary of State Cordell Hull), believed that free trade promoted peace. Woodrow Wilson included free-trade rhetoric in his "Fourteen Points" speech of 1918:

The program of the world's peace, therefore, is our program; and that program, the only possible program, all we see it, is this: [...] 3. The removal, so far as possible, of all economic barriers and the establishment of equality of trade conditions among all the nations consenting to the peace and associating themselves for its maintenance.

According to economic historian Douglas Irwin, a common myth about United States trade policy is that low tariffs harmed American manufacturers in the early 19th century and then that high tariffs made the United States into a great industrial power in the late 19th century. A review by the Economist of Irwin's 2017 book Clashing over Commerce: A History of US Trade Policy notes:

Political dynamics would lead people to see a link between tariffs and the economic cycle that was not there. A boom would generate enough revenue for tariffs to fall, and when the bust came pressure would build to raise them again. By the time that happened, the economy would be recovering, giving the impression that tariff cuts caused the crash and the reverse generated the recovery. Mr Irwin also methodically debunks the idea that protectionism made America a great industrial power, a notion believed by some to offer lessons for developing countries today. As its share of global manufacturing powered from 23% in 1870 to 36% in 1913, the admittedly high tariffs of the time came with a cost, estimated at around 0.5% of GDP in the mid-1870s. In some industries, they might have sped up development by a few years. But American growth during its protectionist period was more to do with its abundant resources and openness to people and ideas.

According to Paul Bairoch, since the end of the 18th century, the United States has been "the homeland and bastion of modern protectionism". In fact, the United States never adhered to free trade until 1945. For the most part, the Jeffersonians strongly opposed protectionism. In the 19th century, statesmen such as Senator Henry Clay continued Alexander Hamilton's themes within the Whig Party under the name American System. The opposition Democratic Party contested several elections throughout the 1830s, 1840s and 1850s in part over the issue of the tariff and protection of industry. The Democratic Party favored moderate tariffs used for government revenue only while the Whigs favored higher protective tariffs to protect favored industries. The economist Henry Charles Carey became a leading proponent of the American System of economics. This mercantilist American System was opposed by the Democratic Party of Andrew Jackson, Martin Van Buren, John Tyler, James K. Polk, Franklin Pierce and James Buchanan.

The fledgling Republican Party led by Abraham Lincoln, who called himself a "Henry Clay tariff Whig", strongly opposed free trade and implemented a 44% tariff during the Civil War, in part to pay for railroad subsidies and for the war effort and in part to protect favored industries. William McKinley (later to become President of the United States) stated the stance of the Republican Party (which won every election for president from 1868 until 1912, except the two non-consecutive terms of Grover Cleveland) as thus:

Under free trade the trader is the master and the producer the slave. Protection is but the law of nature, the law of self-preservation, of self-development, of securing the highest and best destiny of the race of man. [It is said] that protection is immoral [...]. Why, if protection builds up and elevates 63,000,000 [the U.S. population] of people, the influence of those 63,000,000 of people elevates the rest of the world. We cannot take a step in the pathway of progress without benefitting mankind everywhere. Well, they say, 'Buy where you can buy the cheapest'…. Of course, that applies to labor as to everything else. Let me give you a maxim that is a thousand times better than that, and it is the protection maxim: 'Buy where you can pay the easiest.' And that spot of earth is where labor wins its highest rewards.

During the interwar period, economic protectionism took hold in the United States, most famously in the form of the Smoot–Hawley Tariff Act which is credited by economists with the prolonging and worldwide propagation of the Great Depression. From 1934, trade liberalization began to take place through the Reciprocal Trade Agreements Act.

Post-World War II

Since the end of World War II, in part due to industrial size and the onset of the Cold War, the United States has often been a proponent of reduced tariff-barriers and free trade. The United States helped establish the General Agreement on Tariffs and Trade and later the World Trade Organization, although it had rejected an earlier version in the 1950s, the International Trade Organization. Since the 1970s, United States governments have negotiated managed-trade agreements, such as the North American Free Trade Agreement in the 1990s, and the Dominican Republic-Central America Free Trade Agreement in 2006.

In Europe, six countries formed the European Coal and Steel Community in 1951 which became the European Economic Community (EEC) in 1958. Two core objectives of the EEC were the development of a common market, subsequently renamed the single market, and establishing a customs union between its member states. After expanding its membership, the EEC became the European Union in 1993. The European Union, now the world's largest single market, has concluded free trade agreements with many countries around the world.

Modern era

Singapore is the top country in the Enabling Trade Index.

Most countries in the world are members of the World Trade Organization which limits in certain ways but does not eliminate tariffs and other trade barriers. Most countries are also members of regional free trade areas that lower trade barriers among participating countries. The European Union and the United States are negotiating a Transatlantic Trade and Investment Partnership. in 2018, the Comprehensive and Progressive Agreement for Trans-Pacific Partnership came into force, which includes eleven countries that have borders on the Pacific Ocean.

Degree of free trade policies

Free trade may apply to trade in goods and services. Non-economic considerations may inhibit free trade as a country may espouse free trade in principle but ban certain drugs, such as ethanol, or certain practices, such as prostitution, and limiting international free trade.

Some degree of protectionism is nevertheless the norm throughout the world. From 1820 to 1980, the average tariffs on manufactures in twelve industrial countries ranged from 11 to 32%. In the developing world, average tariffs on manufactured goods are approximately 34%. The American economist C. Fred Bergsten devised the bicycle theory to describe trade policy. According to this model, trade policy is dynamically unstable in that it constantly tends towards either liberalisation or protectionism. To prevent falling off the bike (the disadvantages of protectionism), trade policy and multilateral trade negotiations must constantly pedal towards greater liberalisation. To achieve greater liberalisation, decision makers must appeal to the greater welfare for consumers and the wider national economy over narrower parochial interests. However, Bergsten also posits that it is also necessary to compensate the losers in trade and help them find new work as this will both reduce the backlash against globalisation and the motives for trades unions and politicians to call for protection of trade.

George W. Bush and Hu Jintao of China meet while attending an APEC summit in Santiago de Chile, 2004.

In Kicking Away the Ladder, development economist Ha-Joon Chang reviews the history of free trade policies and economic growth and notes that many of the now-industrialized countries had significant barriers to trade throughout their history. The United States and Britain, sometimes considered the homes of free trade policy, employed protectionism to varying degrees at all times. Britain abolished the Corn Laws which restricted import of grain in 1846 in response to domestic pressures and reduced protectionism for manufactures only in the mid 19th century when its technological advantage was at its height, but tariffs on manufactured products had returned to 23% by 1950. The United States maintained weighted average tariffs on manufactured products of approximately 40–50% up until the 1950s, augmented by the natural protectionism of high transportation costs in the 19th century. The most consistent practitioners of free trade have been Switzerland, the Netherlands and to a lesser degree Belgium. Chang describes the export-oriented industrialization policies of the Four Asian Tigers as "far more sophisticated and fine-tuned than their historical equivalents".

Free trade in goods

The Global Enabling Trade Report measures the factors, policies and services that facilitate the trade in goods across borders and to destinations. The index summarizes four sub-indexes, namely market access; border administration; transport and communications infrastructure; and business environment. As of 2016, the top 30 countries and areas were the following:

  1.  Singapore 6.0
  2.  Netherlands 5.7
  3.  Hong Kong 5.7
  4.  Luxembourg 5.6
  5.  Sweden 5.6
  6.  Finland 5.6
  7.  Austria 5.5
  8.  United Kingdom 5.5
  9.  Germany 5.5
  10.  Belgium 5.5
  11.   Switzerland 5.4
  12.  Denmark 5.4
  13.  France 5.4
  14.  Estonia 5.3
  15.  Spain 5.3
  16.  Japan 5.3
  17.  Norway 5.3
  18.  New Zealand 5.3
  19.  Iceland 5.3
  20.  Ireland 5.3
  21.  Chile 5.3
  22.  United States 5.2
  23.  United Arab Emirates 5.2
  24.  Canada 5.2
  25.  Czech Republic 5.1
  26.  Australia 5.1
  27.  South Korea 5.0
  28.  Portugal 5.0
  29.  Lithuania 5.0
  30.  Israel 5.0

Politics

Academics, governments and interest groups debate the relative costs, benefits and beneficiaries of free trade.

Arguments for protectionism fall into the economic category (trade hurts the economy or groups in the economy) or into the moral category (the effects of trade might help the economy but have ill effects in other areas). A general argument against free trade is that it represents neocolonialism in disguise. The moral category is wide, including concerns about:

The European Union–Mercosur Free Trade Agreement would form one of the world's largest free trade areas.

Economic arguments against free trade criticize the assumptions or conclusions of economic theories.

Domestic industries often oppose free trade on the grounds that it would lower prices for imported goods would reduce their profits and market share. For example, if the United States reduced tariffs on imported sugar, sugar producers would receive lower prices and profits, and sugar consumers would spend less for the same amount of sugar because of those same lower prices. The economic theory of David Ricardo holds that consumers would necessarily gain more than producers would lose. Since each of the domestic sugar producers would lose a lot while each of a great number of consumers would gain only a little, domestic producers are more likely to mobilize against the reduction in tariffs. More generally, producers often favor domestic subsidies and tariffs on imports in their home countries while objecting to subsidies and tariffs in their export markets.

United States real wages vs. trade as a percent of GDP

Socialists frequently oppose free trade on the ground that it allows maximum exploitation of workers by capital. For example, Karl Marx wrote in The Communist Manifesto (1848): "The bourgeoisie [...] has set up that single, unconscionable freedom – free trade. In one word, for exploitation, veiled by religious and political illusions, it has substituted naked, shameless, direct, brutal exploitation". Marx supported free trade, however, solely because he felt that it would hasten the social revolution. He also viewed the tendency to support protectionism out of spite for free trade to be unsound. That is because Marx viewed protectionism as a means for domestic firms to establish "large-scale" industry within its borders, which would inevitably make it dependent on the world market so that it could make more revenue for example. He also argues that protectionism does not stop a country from developing a domestic economic system that ironically mirrors competitive free trade. 

Many anti-globalization groups oppose free trade based on their assertion that free-trade agreements generally do not increase the economic freedom of the poor or of the working class and frequently make them poorer.

Some opponents of free trade favor free-trade theory but oppose free-trade agreements as applied. Some opponents of NAFTA see the agreement as materially harming the common people, but some of the arguments are actually against the particulars of government-managed trade, rather than against free trade per se. For example, it is argued that it would be wrong to let subsidized corn from the United States into Mexico freely under NAFTA at prices well below production cost (dumping) because of its ruinous effects to Mexican farmers.

Research shows that support for trade restrictions is highest among respondents with the lowest levels of education. Hainmueller and Hiscox find:

that the impact of education on how voters think about trade and globalization has more to do with exposure to economic ideas and information about the aggregate and varied effects of these economic phenomena, than it does with individual calculations about how trade affects personal income or job security. This is not to say that the latter types of calculations are not important in shaping individuals' views of trade – just that they are not being manifest in the simple association between education and support for trade openness

A 2017 study found that individuals whose occupations are routine-task-intensive and who do jobs that are offshorable are more likely to favor protectionism.

Research suggests that attitudes towards free trade do not necessarily reflect individuals' self-interests.

Colonialism

Map of colonial empires in 1945

Various proponents of economic nationalism and of the school of mercantilism have long portrayed free trade as a form of colonialism or imperialism. In the 19th century, such groups criticized British calls for free trade as cover for British Empire, notably in the works of American Henry Clay, architect of the American System.

Free-trade debates and associated matters involving the colonial administration of Ireland have periodically (such as in 1846 and 1906) caused ructions in the British Conservative (Tory) Party (Corn Law issues in the 1820s to the 1840s, Irish Home Rule issues throughout the 19th and early-20th centuries).

Ecuadorian President Rafael Correa (in office from 2007 to 2017) denounced the "sophistry of free trade" in an introduction he wrote for a 2006 book, The Hidden Face of Free Trade Accords, which was written in part by Correa's Energy Minister Alberto Acosta. Citing as his source the 2002 book Kicking Away the Ladder written by Ha-Joon Chang, Correa identified the difference between an "American system" opposed to a "British System" of free trade. The Americans explicitly viewed the latter, he says, as "part of the British imperialist system". According to Correa, Chang showed that Treasury Secretary Alexander Hamilton (in office 1789–1795), rather than List, first presented a systematic argument defending industrial protectionism.

Major free trade areas

Africa

Europe

Americas

Alternatives

The following alternatives to free trade have been proposed: protectionism, imperialism, balanced trade, fair trade, and industrial policy. Protectionism involves tariffs to protect domestic goods and industry from international competition, and to raise government revenue in lieu of other forms of taxation. Imperialism entails unequal exchange for the benefit of the mother country, often at the expense of the colonies. Balanced and fair trade involves allowing trade but taking into account other interests, such as dirigisme, protecting labor rights, environmentalism, etc.

In literature

The value of free trade was first observed and documented in 1776 by Adam Smith in The Wealth of Nations, writing:

It is the maxim of every prudent master of a family, never to attempt to make at home what it will cost him more to make than to buy. [...] If a foreign country can supply us with a commodity cheaper than we ourselves can make it, better buy it of them with some part of the produce of our own industry, employed in a way in which we have some advantage.

This statement uses the concept of absolute advantage to present an argument in opposition to mercantilism, the dominant view surrounding trade at the time which held that a country should aim to export more than it imports and thus amass wealth. Instead, Smith argues, countries could gain from each producing exclusively the goods in which they are most suited to, trading between each other as required for the purposes of consumption. In this vein, it is not the value of exports relative to that of imports that is important, but the value of the goods produced by a nation. However, the concept of absolute advantage does not address a situation where a country has no advantage in the production of a particular good or type of good.

This theoretical shortcoming was addressed by the theory of comparative advantage. Generally attributed to David Ricardo, who expanded on it in his 1817 book On the Principles of Political Economy and Taxation, it makes a case for free trade based not on absolute advantage in production of a good, but on the relative opportunity costs of production. A country should specialize in whatever good it can produce at the lowest cost, trading this good to buy other goods it requires for consumption. This allows for countries to benefit from trade even when they do not have an absolute advantage in any area of production. While their gains from trade might not be equal to those of a country more productive in all goods, they will still be better off economically from trade than they would be under a state of autarky.

Exceptionally, Henry George's 1886 book Protection or Free Trade was read out loud in full into the Congressional Record by five Democratic congressmen. American economist Tyler Cowen wrote that Protection or Free Trade "remains perhaps the best-argued tract on free trade to this day". Although George is very critical towards protectionism, he discusses the subject in particular with respect to the interests of labor:

We all hear with interest and pleasure of improvements in transportation by water or land; we are all disposed to regard the opening of canals, the building of railways, the deepening of harbors, the improvement of steamships as beneficial. But if such things are beneficial, how can tariffs be beneficial? The effect of such things is to lessen the cost of transporting commodities; the effect of tariffs is to increase it. If the protective theory be true, every improvement that cheapens the carriage of goods between country and country is an injury to mankind unless tariffs be commensurately increased.

George considers the general free trade argument inadequate. He argues that the removal of protective tariffs alone is never sufficient to improve the situation of the working class, unless accompanied by a shift towards a "single tax" in the form of a land value tax.

Granite

From Wikipedia, the free encyclopedia
Granite
Igneous rock
Composition
ClassificationFelsic
Primarypotassium feldspar, plagioclase feldspar, and quartz
SecondaryDiffering amounts of muscovite, biotite, and hornblende-type amphiboles

Granite (/ˈɡrænɪt/) is a coarse-grained (phaneritic) intrusive igneous rock composed mostly of quartz, alkali feldspar, and plagioclase. It forms from magma with a high content of silica and alkali metal oxides that slowly cools and solidifies underground. It is common in the continental crust of Earth, where it is found in igneous intrusions. These range in size from dikes only a few centimeters across to batholiths exposed over hundreds of square kilometers.

Granite is typical of a larger family of granitic rocks, or granitoids, that are composed mostly of coarse-grained quartz and feldspars in varying proportions. These rocks are classified by the relative percentages of quartz, alkali feldspar, and plagioclase (the QAPF classification), with true granite representing granitic rocks rich in quartz and alkali feldspar. Most granitic rocks also contain mica or amphibole minerals, though a few (known as leucogranites) contain almost no dark minerals.

Thin section of granite

Granite is nearly always massive (lacking any internal structures), hard, and tough. These properties have made granite a widespread construction stone throughout human history.

Description

QAPF diagram with granite field highlighted
Mineral assemblage of igneous rocks

The word "granite" comes from the Latin granum, a grain, in reference to the coarse-grained structure of such a completely crystalline rock. Granitic rocks mainly consist of feldspar, quartz, mica, and amphibole minerals, which form an interlocking, somewhat equigranular matrix of feldspar and quartz with scattered darker biotite mica and amphibole (often hornblende) peppering the lighter color minerals. Occasionally some individual crystals (phenocrysts) are larger than the groundmass, in which case the texture is known as porphyritic. A granitic rock with a porphyritic texture is known as a granite porphyry. Granitoid is a general, descriptive field term for lighter-colored, coarse-grained igneous rocks. Petrographic examination is required for identification of specific types of granitoids. Granites can be predominantly white, pink, or gray in color, depending on their mineralogy.

The alkali feldspar in granites is typically orthoclase or microcline and is often perthitic. The plagioclase is typically sodium-rich oligoclase. Phenocrysts are usually alkali feldspar.

Granitic rocks are classified according to the QAPF diagram for coarse grained plutonic rocks and are named according to the percentage of quartz, alkali feldspar (orthoclase, sanidine, or microcline) and plagioclase feldspar on the A-Q-P half of the diagram. True granite (according to modern petrologic convention) contains between 20% and 60% quartz by volume, with 35% to 90% of the total feldspar consisting of alkali feldspar. Granitic rocks poorer in quartz are classified as syenites or monzonites, while granitic rocks dominated by plagioclase are classified as granodiorites or tonalites. Granitic rocks with over 90% alkali feldspar are classified as alkali feldspar granites. Granitic rock with more than 60% quartz, which is uncommon, is classified simply as quartz-rich granitoid or, if composed almost entirely of quartz, as quartzolite.

True granites are further classified by the percentage of their total feldspar that is alkali feldspar. Granites whose feldspar is 65% to 90% alkali feldspar are syenogranites, while the feldspar in monzogranite is 35% to 65% alkali feldspar. A granite containing both muscovite and biotite micas is called a binary or two-mica granite. Two-mica granites are typically high in potassium and low in plagioclase, and are usually S-type granites or A-type granites, as described below.

Another aspect of granite classification is the ratios of metals that potentially form feldspars. Most granites have a composition such that almost all their aluminum and alkali metals (sodium and potassium) are combined as feldspar. This is the case when K2O + Na2O + CaO > Al2O3 > K2O + Na2O. Such granites are described as normal or metaluminous. Granites in which there is not enough aluminum to combine with all the alkali oxides as feldspar (Al2O3 < K2O + Na2O) are described as peralkaline, and they contain unusual sodium amphiboles such as riebeckite. Granites in which there is an excess of aluminum beyond what can be taken up in feldspars (Al2O3 > CaO + K2O + Na2O) are described as peraluminous, and they contain aluminum-rich minerals such as muscovite.

Physical properties

The average density of granite is between 2.65 and 2.75 g/cm3 (165 and 172 lb/cu ft), its compressive strength usually lies above 200 MPa (29,000 psi), and its viscosity near STP is 3–6·1020 Pa·s.

The melting temperature of dry granite at ambient pressure is 1215–1260 °C (2219–2300 °F); it is strongly reduced in the presence of water, down to 650 °C at a few hundred megapascals of pressure.

Granite has poor primary permeability overall, but strong secondary permeability through cracks and fractures if they are present.

Chemical composition

A worldwide average of the chemical composition of granite, by weight percent, based on 2485 analyses:

SiO2 72.04% (silica)
 
Al2O3 14.42% (alumina)
 
K2O 4.12%
 
Na2O 3.69%
 
CaO 1.82%
 
FeO 1.68%
 
Fe2O3 1.22%
 
MgO 0.71%
 
TiO2 0.30%
 
P2O5 0.12%
 
MnO 0.05%
 

The medium-grained equivalent of granite is microgranite. The extrusive igneous rock equivalent of granite is rhyolite.

Occurrence

The Cheesewring, a granite tor in England
A granite peak at Huangshan, China
Pink granite at Hiltaba, South Australia (part of the Hiltaba Suite)
Granite with quartz veins at Gros la Tête cliff, Aride Island, Seychelles

Granitic rock is widely distributed throughout the continental crust. Much of it was intruded during the Precambrian age; it is the most abundant basement rock that underlies the relatively thin sedimentary veneer of the continents. Outcrops of granite tend to form tors, domes or bornhardts, and rounded massifs. Granites sometimes occur in circular depressions surrounded by a range of hills, formed by the metamorphic aureole or hornfels. Granite often occurs as relatively small, less than 100 km2 stock masses (stocks) and in batholiths that are often associated with orogenic mountain ranges. Small dikes of granitic composition called aplites are often associated with the margins of granitic intrusions. In some locations, very coarse-grained pegmatite masses occur with granite.

Origin

Granite forms from silica-rich (felsic) magmas. Felsic magmas are thought to form by addition of heat or water vapor to rock of the lower crust, rather than by decompression of mantle rock, as is the case with basaltic magmas. It has also been suggested that some granites found at convergent boundaries between tectonic plates, where oceanic crust subducts below continental crust, were formed from sediments subducted with the oceanic plate. The melted sediments would have produced magma intermediate in its silica content, which became further enriched in silica as it rose through the overlying crust.

Early fractional crystallisation serves to reduce a melt in magnesium and chromium, and enrich the melt in iron, sodium, potassium, aluminum, and silicon. Further fractionation reduces the content of iron, calcium, and titanium. This is reflected in the high content of alkali feldspar and quartz in granite.

The presence of granitic rock in island arcs shows that fractional crystallization alone can convert a basaltic magma to a granitic magma, but the quantities produced are small. For example, granitic rock makes up just 4% of the exposures in the South Sandwich Islands. In continental arc settings, granitic rocks are the most common plutonic rocks, and batholiths composed of these rock types extend the entire length of the arc. There are no indication of magma chambers where basaltic magmas differentiate into granites, or of cumulates produced by mafic crystals settling out of the magma. Other processes must produce these great volumes of felsic magma. One such process is injection of basaltic magma into the lower crust, followed by differentiation, which leaves any cumulates in the mantle. Another is heating of the lower crust by underplating basaltic magma, which produces felsic magma directly from crustal rock. The two processes produce different kinds of granites, which may be reflected in the division between S-type (produced by underplating) and I-type (produced by injection and differentiation) granites, discussed below.

Alphabet classification system

The composition and origin of any magma that differentiates into granite leave certain petrological evidence as to what the granite's parental rock was. The final texture and composition of a granite are generally distinctive as to its parental rock. For instance, a granite that is derived from partial melting of metasedimentary rocks may have more alkali feldspar, whereas a granite derived from partial melting of metaigneous rocks may be richer in plagioclase. It is on this basis that the modern "alphabet" classification schemes are based.

The letter-based Chappell & White classification system was proposed initially to divide granites into I-type (igneous source) granite and S-type (sedimentary sources). Both types are produced by partial melting of crustal rocks, either metaigneous rocks or metasedimentary rocks.

I-type granites are characterized by a high content of sodium and calcium, and by a strontium isotope ratio, 87Sr/86Sr, of less than 0.708. 87Sr is produced by radioactive decay of 87Rb, and since rubidium is concentrated in the crust relative to the mantle, a low ratio suggests origin in the mantle. The elevated sodium and calcium favor crystallization of hornblende rather than biotite. I-type granites are known for their porphyry copper deposits. I-type granites are orogenic (associated with mountain building) and usually metaluminous.

S-type granites are sodium-poor and aluminum-rich. As a result, they contain micas such as biotite and muscovite instead of hornblende. Their strontium isotope ratio is typically greater than 0.708, suggesting a crustal origin. They also commonly contain xenoliths of metamorphosed sedimentary rock, and host tin ores. Their magmas are water-rich, and they readily solidify as the water outgasses from the magma at lower pressure, so they less commonly make it to the surface than magmas of I-type granites, which are thus more common as volcanic rock (rhyolite). They are also orogenic but range from metaluminous to strongly peraluminous.

Although both I- and S-type granites are orogenic, I-type granites are more common close to the convergent boundary than S-type. This is attributed to thicker crust further from the boundary, which results in more crustal melting.

A-type granites show a peculiar mineralogy and geochemistry, with particularly high silicon and potassium at the expense of calcium and magnesium and a high content of high field strength cations (cations with a small radius and high electrical charge, such as zirconium, niobium, tantalum, and rare earth elements.) They are not orogenic, forming instead over hot spots and continental rifting, and are metaluminous to mildly peralkaline and iron-rich. These granites are produced by partial melting of refractory lithology such as granulites in the lower continental crust at high thermal gradients. This leads to significant extraction of hydrous felsic melts from granulite-facies resitites. A-type granites occur in the Koettlitz Glacier Alkaline Province in the Royal Society Range, Antarctica. The rhyolites of the Yellowstone Caldera are examples of volcanic equivalents of A-type granite.

M-type granite was later proposed to cover those granites that were clearly sourced from crystallized mafic magmas, generally sourced from the mantle. Although the fractional crystallisation of basaltic melts can yield small amounts of granites, which are sometimes found in island arcs, such granites must occur together with large amounts of basaltic rocks.

H-type granites were suggested for hybrid granites, which were hypothesized to form by mixing between mafic and felsic from different sources, such as M-type and S-type. However, the big difference in rheology between mafic and felsic magmas makes this process problematic in nature.

Granitization

Granitization is an old, and largely discounted, hypothesis that granite is formed in place through extreme metasomatism. The idea behind granitization was that fluids would supposedly bring in elements such as potassium, and remove others, such as calcium, to transform a metamorphic rock into granite. This was supposed to occur across a migrating front. However, experimental work had established by the 1960s that granites were of igneous origin. The mineralogical and chemical features of granite can be explained only by crystal-liquid phase relations, showing that there must have been at least enough melting to mobilize the magma.

However, at sufficiently deep crustal levels, the distinction between metamorphism and crustal melting itself becomes vague. Conditions for crystallization of liquid magma are close enough to those of high-grade metamorphism that the rocks often bear a close resemblance. Under these conditions, granitic melts can be produced in place through the partial melting of metamorphic rocks by extracting melt-mobile elements such as potassium and silicon into the melts but leaving others such as calcium and iron in granulite residues. This may be the origin of migmatites. A migmatite consists of dark, refractory rock (the melanosome) that is permeated by sheets and channels of light granitic rock (the leucosome). The leucosome is interpreted as partial melt of a parent rock that has begun to separate from the remaining solid residue (the melanosome). If enough partial melt is produced, it will separate from the source rock, become more highly evolved through fractional crystallization during its ascent toward the surface, and become the magmatic parent of granitic rock. The residue of the source rock becomes a granulite.

The partial melting of solid rocks requires high temperatures and the addition of water or other volatiles which lower the solidus temperature (temperature at which partial melting commences) of these rocks. It was long debated whether crustal thickening in orogens (mountain belts along convergent boundaries) was sufficient to produce granite melts by radiogenic heating, but recent work suggests that this is not a viable mechanism. In-situ granitization requires heating by the asthenospheric mantle or by underplating with mantle-derived magmas.

Ascent and emplacement

Granite magmas have a density of 2.4 Mg/m3, much less than the 2.8 Mg/m3 of high-grade metamorphic rock. This gives them tremendous buoyancy, so that ascent of the magma is inevitable once enough magma has accumulated. However, the question of precisely how such large quantities of magma are able to shove aside country rock to make room for themselves (the room problem) is still a matter of research.

Two main mechanisms are thought to be important:

Of these two mechanisms, Stokes diapirism has been favoured for many years in the absence of a reasonable alternative. The basic idea is that magma will rise through the crust as a single mass through buoyancy. As it rises, it heats the wall rocks, causing them to behave as a power-law fluid and thus flow around the intrusion allowing it to pass without major heat loss. This is entirely feasible in the warm, ductile lower crust where rocks are easily deformed, but runs into problems in the upper crust which is far colder and more brittle. Rocks there do not deform so easily: for magma to rise as a diapir it would expend far too much energy in heating wall rocks, thus cooling and solidifying before reaching higher levels within the crust.

Fracture propagation is the mechanism preferred by many geologists as it largely eliminates the major problems of moving a huge mass of magma through cold brittle crust. Magma rises instead in small channels along self-propagating dykes which form along new or pre-existing fracture or fault systems and networks of active shear zones. As these narrow conduits open, the first magma to enter solidifies and provides a form of insulation for later magma.

These mechanisms can operate in tandem. For example, diapirs may continue to rise through the brittle upper crust through stoping, where the granite cracks the roof rocks, removing blocks of the overlying crust which then sink to the bottom of the diapir while the magma rises to take their place. This can occur as piecemeal stopping (stoping of small blocks of chamber roof), as cauldron subsidence (collapse of large blocks of chamber roof), or as roof foundering (complete collapse of the roof of a shallow magma chamber accompanied by a caldera eruption.) There is evidence for cauldron subsidence at the Mt. Ascutney intrusion in eastern Vermont. Evidence for piecemeal stoping is found in intrusions that are rimmed with igneous breccia containing fragments of country rock.

Assimilation is another mechanism of ascent, where the granite melts its way up into the crust and removes overlying material in this way. This is limited by the amount of thermal energy available, which must be replenished by crystallization of higher-melting minerals in the magma. Thus, the magma is melting crustal rock at its roof while simultaneously crystallizing at its base. This results in steady contamination with crustal material as the magma rises. This may not be evident in the major and minor element chemistry, since the minerals most likely to crystallize at the base of the chamber are the same ones that would crystallize anyway, but crustal assimilation is detectable in isotope ratios. Heat loss to the country rock means that ascent by assimilation is limited to distance similar to the height of the magma chamber.

Weathering

Grus sand and granitoid from which it derived

Physical weathering occurs on a large scale in the form of exfoliation joints, which are the result of granite's expanding and fracturing as pressure is relieved when overlying material is removed by erosion or other processes.

Chemical weathering of granite occurs when dilute carbonic acid, and other acids present in rain and soil waters, alter feldspar in a process called hydrolysis. As demonstrated in the following reaction, this causes potassium feldspar to form kaolinite, with potassium ions, bicarbonate, and silica in solution as byproducts. An end product of granite weathering is grus, which is often made up of coarse-grained fragments of disintegrated granite.

2 KAlSi3O8 + 2 H2CO3 + 9 H2O → Al2Si2O5(OH)4 + 4 H4SiO4 + 2 K+ + 2 HCO3

Climatic variations also influence the weathering rate of granites. For about two thousand years, the relief engravings on Cleopatra's Needle obelisk had survived the arid conditions of its origin before its transfer to London. Within two hundred years, the red granite has drastically deteriorated in the damp and polluted air there.

Soil development on granite reflects the rock's high quartz content and dearth of available bases, with the base-poor status predisposing the soil to acidification and podzolization in cool humid climates as the weather-resistant quartz yields much sand. Feldspars also weather slowly in cool climes, allowing sand to dominate the fine-earth fraction. In warm humid regions, the weathering of feldspar as described above is accelerated so as to allow a much higher proportion of clay with the Cecil soil series a prime example of the consequent Ultisol great soil group.

Natural radiation

Granite is a natural source of radiation, like most natural stones. Potassium-40 is a radioactive isotope of weak emission, and a constituent of alkali feldspar, which in turn is a common component of granitic rocks, more abundant in alkali feldspar granite and syenites. Some granites contain around 10 to 20 parts per million (ppm) of uranium. By contrast, more mafic rocks, such as tonalite, gabbro and diorite, have 1 to 5 ppm uranium, and limestones and sedimentary rocks usually have equally low amounts.

Many large granite plutons are sources for palaeochannel-hosted or roll front uranium ore deposits, where the uranium washes into the sediments from the granite uplands and associated, often highly radioactive pegmatites.

Cellars and basements built into soils over granite can become a trap for radon gas, which is formed by the decay of uranium. Radon gas poses significant health concerns and is the number two cause of lung cancer in the US behind smoking.

Thorium occurs in all granites. Conway granite has been noted for its relatively high thorium concentration of 56±6 ppm.

There is some concern that some granite sold as countertops or building material may be hazardous to health. Dan Steck of St. Johns University has stated that approximately 5% of all granite is of concern, with the caveat that only a tiny percentage of the tens of thousands of granite slab types have been tested. Resources from national geological survey organizations are accessible online to assist in assessing the risk factors in granite country and design rules relating, in particular, to preventing accumulation of radon gas in enclosed basements and dwellings.

A study of granite countertops was done (initiated and paid for by the Marble Institute of America) in November 2008 by National Health and Engineering Inc. of USA. In this test, all of the 39 full-size granite slabs that were measured for the study showed radiation levels well below the European Union safety standards (section 4.1.1.1 of the National Health and Engineering study) and radon emission levels well below the average outdoor radon concentrations in the US.

Industry

Granite dimension stone quarry in Taivassalo, Finland

Granite and related marble industries are considered one of the oldest industries in the world, existing as far back as Ancient Egypt.

Major modern exporters of granite include China, India, Italy, Brazil, Canada, Germany, Sweden, Spain and the United States.

Uses

Antiquity

Cleopatra's Needle, London

The Red Pyramid of Egypt (c. 2590 BC), named for the light crimson hue of its exposed limestone surfaces, is the third largest of Egyptian pyramids. Pyramid of Menkaure, likely dating 2510 BC, was constructed of limestone and granite blocks. The Great Pyramid of Giza (c. 2580 BC) contains a huge granite sarcophagus fashioned of "Red Aswan Granite". The mostly ruined Black Pyramid dating from the reign of Amenemhat III once had a polished granite pyramidion or capstone, which is now on display in the main hall of the Egyptian Museum in Cairo (see Dahshur). Other uses in Ancient Egypt include columns, door lintels, sills, jambs, and wall and floor veneer. How the Egyptians worked the solid granite is still a matter of debate. Patrick Hunt has postulated that the Egyptians used emery, which has greater hardness on the Mohs scale.

The Seokguram Grotto in Korea is a Buddhist shrine and part of the Bulguksa temple complex. Completed in 774 AD, it is an artificial grotto constructed entirely of granite. The main Buddha of the grotto is a highly regarded piece of Buddhist art, and along with the temple complex to which it belongs, Seokguram was added to the UNESCO World Heritage List in 1995.

Rajaraja Chola I of the Chola Dynasty in South India built the world's first temple entirely of granite in the 11th century AD in Tanjore, India. The Brihadeeswarar Temple dedicated to Lord Shiva was built in 1010. The massive Gopuram (ornate, upper section of shrine) is believed to have a mass of around 81 tonnes. It was the tallest temple in south India.

Imperial Roman granite was quarried mainly in Egypt, and also in Turkey, and on the islands of Elba and Giglio. Granite became "an integral part of the Roman language of monumental architecture". The quarrying ceased around the third century AD. Beginning in Late Antiquity the granite was reused, which since at least the early 16th century became known as spolia. Through the process of case-hardening, granite becomes harder with age. The technology required to make tempered metal chisels was largely forgotten during the Middle Ages. As a result, Medieval stoneworkers were forced to use saws or emery to shorten ancient columns or hack them into discs. Giorgio Vasari noted in the 16th century that granite in quarries was "far softer and easier to work than after it has lain exposed" while ancient columns, because of their "hardness and solidity have nothing to fear from fire or sword, and time itself, that drives everything to ruin, not only has not destroyed them but has not even altered their colour."

Modern

Sculpture and memorials

Granites (cut and polished surfaces)

In some areas, granite is used for gravestones and memorials. Granite is a hard stone and requires skill to carve by hand. Until the early 18th century, in the Western world, granite could be carved only by hand tools with generally poor results.

A key breakthrough was the invention of steam-powered cutting and dressing tools by Alexander MacDonald of Aberdeen, inspired by seeing ancient Egyptian granite carvings. In 1832, the first polished tombstone of Aberdeen granite to be erected in an English cemetery was installed at Kensal Green Cemetery. It caused a sensation in the London monumental trade and for some years all polished granite ordered came from MacDonald's. As a result of the work of sculptor William Leslie, and later Sidney Field, granite memorials became a major status symbol in Victorian Britain. The royal sarcophagus at Frogmore was probably the pinnacle of its work, and at 30 tons one of the largest. It was not until the 1880s that rival machinery and works could compete with the MacDonald works.

Modern methods of carving include using computer-controlled rotary bits and sandblasting over a rubber stencil. Leaving the letters, numbers, and emblems exposed and the remainder of the stone covered with rubber, the blaster can create virtually any kind of artwork or epitaph.

The stone known as "black granite" is usually gabbro, which has a completely different chemical composition.

Buildings

The granite castle of Aulanko in Hämeenlinna, Finland

Granite has been extensively used as a dimension stone and as flooring tiles in public and commercial buildings and monuments. Aberdeen in Scotland, which is constructed principally from local granite, is known as "The Granite City". Because of its abundance in New England, granite was commonly used to build foundations for homes there. The Granite Railway, America's first railroad, was built to haul granite from the quarries in Quincy, Massachusetts, to the Neponset River in the 1820s.

Engineering

Engineers have traditionally used polished granite surface plates to establish a plane of reference, since they are relatively impervious, inflexible, and maintain good dimensional stability. Sandblasted concrete with a heavy aggregate content has an appearance similar to rough granite, and is often used as a substitute when use of real granite is impractical. Granite tables are used extensively as bases or even as the entire structural body of optical instruments, CMMs, and very high precision CNC machines because of granite's rigidity, high dimensional stability, and excellent vibration characteristics. A most unusual use of granite was as the material of the tracks of the Haytor Granite Tramway, Devon, England, in 1820. Granite block is usually processed into slabs, which can be cut and shaped by a cutting center. In military engineering, Finland planted granite boulders along its Mannerheim Line to block invasion by Russian tanks in the Winter War of 1939–40.

Paving

Granite is used as a pavement material. This is because it is extremely durable, permeable and requires little maintenance. For example, in Sydney, Australia black granite stone is used for the paving and kerbs throughout the Central Business District

Curling stones

Curling stones

Curling stones are traditionally fashioned of Ailsa Craig granite. The first stones were made in the 1750s, the original source being Ailsa Craig in Scotland. Because of the rarity of this granite, the best stones can cost as much as US$1,500. Between 60 and 70 percent of the stones used today are made from Ailsa Craig granite. Although the island is now a wildlife reserve, it is still quarried under license for Ailsa granite by Kays of Scotland for curling stones.

Rock climbing

Granite is one of the rocks most prized by climbers, for its steepness, soundness, crack systems, and friction. Well-known venues for granite climbing include the Yosemite Valley, the Bugaboos, the Mont Blanc massif (and peaks such as the Aiguille du Dru, the Mourne Mountains, the Adamello-Presanella Alps, the Aiguille du Midi and the Grandes Jorasses), the Bregaglia, Corsica, parts of the Karakoram (especially the Trango Towers), the Fitzroy Massif, Patagonia, Baffin Island, Ogawayama, the Cornish coast, the Cairngorms, Sugarloaf Mountain in Rio de Janeiro, Brazil, and the Stawamus Chief, British Columbia, Canada.

Computer-aided software engineering

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