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Greco-Turkish War (1919–1922)

The Greco-Turkish War of 1919–1922 was fought between Greece and the Turkish National Movement during the partitioning of the Ottoman Empire in the aftermath of World War I, between 15 May 1919 and 14 October 1922.

The Greek campaign was launched primarily because the western Allies, particularly British Prime Minister David Lloyd George, had promised Greece territorial gains at the expense of the Ottoman Empire, recently defeated in World War I. Greek claims stemmed from the fact that Anatolia had been part of Ancient Greece and the Byzantine Empire before the Turks conquered the area in the 12th–15th centuries. The armed conflict started when the Greek forces landed in Smyrna (now İzmir), on 15 May 1919. They advanced inland and took control of the western and northwestern part of Anatolia, including the cities of Manisa, Balıkesir, Aydın, Kütahya, Bursa, and Eskişehir. Their advance was checked by Turkish forces at the Battle of the Sakarya in 1921. The Greek front collapsed with the Turkish counter-attack in August 1922, and the war effectively ended with the recapture of Smyrna by Turkish forces and the great fire of Smyrna.

As a result, the Greek government accepted the demands of the Turkish National Movement and returned to its pre-war borders, thus leaving Eastern Thrace and Western Anatolia to Turkey. The Allies abandoned the Treaty of Sèvres to negotiate a new treaty at Lausanne with the Turkish National Movement. The Treaty of Lausanne recognized the independence of the Republic of Turkey and its sovereignty over Anatolia, Istanbul, and Eastern Thrace. The Greek and Turkish governments agreed to engage in a population exchange.

Geopolitical context
The geopolitical context of this conflict is linked to the partitioning of the Ottoman Empire which was a direct consequence of World War I and involvement of the Ottomans in the Middle Eastern theatre. The Greeks received an order to land in Smyrna by the Triple Entente as part of the partition. During this war, the Ottoman government collapsed completely and the Ottoman Empire was divided amongst the victorious Entente powers with the signing of the Treaty of Sèvres on 10 August 1920.

There were a number of secret agreements regarding the partitioning of the Ottoman Empire at the end of World War I. The Triple Entente had made contradictory promises about post-war arrangements concerning Greek hopes in Asia Minor.

The western Allies, particularly British Prime Minister David Lloyd George, had promised Greece territorial gains at the expense of the Ottoman Empire if Greece entered the war on the Allied side. These included Eastern Thrace, the islands of Imbros (İmroz, since 29 July 1979 Gökçeada) and Tenedos (Bozcaada), and parts of western Anatolia around the city of Smyrna, which contained sizable ethnic Greek populations.

The Italian and Anglo-French repudiation of the Agreement of St.-Jean-de-Maurienne signed on 26 April 1917, which settled the "Middle Eastern interest" of Italy, was overridden with the Greek occupation, as Smyrna (İzmir) was part of the territory promised to Italy. Before the occupation the Italian delegation to the Paris Peace Conference, 1919, angry about the possibility of the Greek occupation of Western Anatolia, left the conference and did not return to Paris until 5 May. The absence of the Italian delegation from the Conference ended up facilitating Lloyd George's efforts to persuade France and the United States to support Greece and prevent Italian operations in Western Anatolia.

According to some historians, it was the Greek occupation of Smyrna that created the Turkish National movement. Arnold J. Toynbee argues: "The war between Turkey and Greece which burst out at this time was a defensive war for safeguarding of the Turkish homelands in Anatolia. It was a result of the Allied policy of imperialism operating in a foreign state, the military resources and powers of which were seriously under-estimated; it was provoked by the unwarranted invasion of a Greek army of occupation." According to others, the landing of the Greek troops in Smyrna was part of Eleftherios Venizelos's plan, inspired by the Megali Idea, to liberate the large Greek populations in the Asia Minor. Prior to the Great Fire of Smyrna, Smyrna had a bigger Greek population than the Greek capital, Athens. Athens, before the Population exchange between Greece and Turkey, had a population of 473,000, while the central kaza of Smyrna, according to Ottoman Census, in 1914, had a Greek population of 73.676 and the entire Aydın Vilayet including modern day İzmir, Manisa, Aydın and Denizli provinces had a Greek population of 299,096. While the sanjak of Muğla had a Greek population of 19,923.

The Greek community in Anatolia
One of the reasons proposed by the Greek government for launching the Asia Minor expedition was that there was a sizeable Greek-speaking Orthodox Christian population inhabiting Anatolia that needed protection. Greeks had lived in Asia Minor since antiquity, and in 1912, there were 2.5 million Greeks in the Ottoman Empire. The Ottoman Census of 1906–1907 gives a higher figure for the entire Greek Orthodox population including Orthodox Albanians, Slavic-speakers, Vlachs, Arab Orthodox Christians, of the empire amounted to 2,823,063. According to the Ottoman Census of 1914 the Greek Orthodox population of Ottoman Empire after losing its Balkan & Aegean Island provinces, including 188,047 Arab Orthodox Christians from modern day Syria, Lebanon & Israel was 1,729,738. The suggestion that the Greeks constituted the majority of the population in the lands claimed by Greece has been contested by a number of historians. Cedric James Lowe and Michael L. Dockrill also argued that Greek claims about Smyrna were at best debatable, since Greeks constituted perhaps a bare majority, more likely a large minority in the Smyrna Vilayet, "which lay in an overwhelmingly Turkish Anatolia." Precise demographics are further obscured by the Ottoman policy of dividing the population according to religion rather than descent, language, or self-identification. On the other hand, contemporaneous British and American statistics (1919) support the point that the Greek element was the most numerous in the region of Smyrna, counting 375,000, while Muslims were 325,000.

Greek Prime Minister Venizelos stated to a British newspaper that "Greece is not making war against Islam, but against the anachronistic Ottoman Government, and its corrupt, ignominious, and bloody administration, with a view to expelling it from those territories where the majority of the population consists of Greeks."

To an extent, the above danger may have been overstated by Venizelos as a negotiating card on the table of Sèvres, in order to gain the support of the Allied governments. For example, the Young Turks were not in power at the time of the war, which makes such a justification less straightforward. Most of the leaders of that regime had fled the country at the end of World War I and the Ottoman government in Constantinople was already under British control. Furthermore, Venizelos had already revealed his desires for annexation of territories from the Ottoman Empire in the early stages of World War I, before these massacres had taken place. In a letter sent to Greek King Constantine in January 1915, he wrote that: "I have the impression that the concessions to Greece in Asia Minor ... would be so extensive that another equally large and not less rich Greece will be added to the doubled Greece which emerged from the victorious Balkan wars."

Through its failure, the Greek invasion may have instead exacerbated the atrocities that it was supposed to prevent. Arnold J. Toynbee blamed the policies pursued by Great Britain and Greece, and the decisions of the Paris Peace conference as factors leading to the atrocities committed by both sides during and after the war: "The Greeks of 'Pontus' and the Turks of the Greek occupied territories, were in some degree victims of Mr. Venizelos's and Mr. Lloyd George's original miscalculations at Paris."

Greek irredentism
One of the main motivations for initiating the war was to realize the Megali (Great) Idea, a core concept of Greek nationalism. The Megali Idea was an irredentist vision of a restoration of a Greater Greece on both sides of the Aegean that would incorporate territories with Greek populations outside the borders of the Kingdom of Greece, which was initially very small – roughly half the size of the present-day Greek Republic. From the time of Greek independence from the Ottoman Empire in 1830, the Megali Idea had played a major role in Greek politics. Greek politicians, since the independence of the Greek state, had made several speeches on the issue of the "historic inevitability of the expansion of the Greek Kingdom." For instance, Greek politician Ioannis Kolettis voiced this conviction in the assembly in 1844: "There are two great centres of Hellenism. Athens is the capital of the Kingdom. Constantinople is the great capital, the City, the dream and hope of all Greeks."

The Great Idea was not merely the product of 19th century nationalism. It was, in one of its aspects, deeply rooted in many Greeks' religious consciousnesses. This aspect was the recovery of Constantinople for Christendom and the reestablishment of the Christian Byzantine Empire which had fallen in 1453. "Ever since this time the recovery of St. Sophia and the City had been handed down from generation to generation as the destiny and aspiration of the Greek Orthodox." The Megali Idea, besides Constantinople, included most traditional lands of the Greeks including Crete, Thessaly, Epirus, Macedonia, Thrace, the Aegean Islands, Cyprus, the coastlands of Asia Minor and Pontus on the Black Sea. Asia Minor was an essential part of the Greek world and an area of enduring Greek cultural dominance. In antiquity, from late Bronze Age up to the Roman conquest, Greek city-states had even exercised political control of most of the region, except the period ca. 550–470 BC when it was part of the Achaimenid Persian Empire. Later, during Middle Ages, the region had belonged to the Byzantine Empire until the 12th century, when the first Seljuk Turk raids reached it.

The National Schism in Greece
The National Schism in Greece was the deep split of Greek politics and society between two factions, the one led by Eleftherios Venizelos and the other by King Constantine, that predated World War I but escalated significantly over the decision on which side Greece should support during the war.

The United Kingdom had hoped that strategic considerations might persuade Constantine to join the cause of the Allies, but the King and his supporters insisted on strict neutrality, especially whilst the outcome of the conflict was hard to predict. In addition, family ties and emotional attachments made it difficult for Constantine to decide which side to support during World War I. The King's dilemma was further increased when the Ottomans and the Bulgarians, both having grievances and aspirations against the Greek Kingdom, joined the Central Powers.

Though Constantine did remain decidedly neutral, Prime Minister of Greece Eleftherios Venizelos had from an early point decided that Greece's interests would be best served by joining the Entente and started diplomatic efforts with the Allies to prepare the ground for concessions following an eventual victory. The disagreement and the subsequent dismissal of Venizelos by the King resulted in a deep personal rift between the two, which spilled over into their followers and the wider Greek society. Greece became divided into two radically opposed political camps, as Venizelos set up a separate state in Northern Greece, and eventually, with Allied support, forced the King to abdicate. In May 1917, after the exile of Constantine, Venizélos returned to Athens and allied with the Entente. Greek military forces (though divided between supporters of the monarchy and supporters of "Venizelism") began to take part in military operations against the Bulgarian Army on the border.

The act of entering the war and the preceding events resulted in a deep political and social division in post–World War I Greece. The country's foremost political formations, the Venizelist Liberals and the Royalists, already involved in a long and bitter rivalry over pre-war politics, reached a state of outright hatred towards each other. Both parties viewed the other's actions during the First World War as politically illegitimate and treasonous. This enmity inevitably spread throughout Greek society, creating a deep rift that contributed decisively to the failed Asia Minor campaign and resulted in much social unrest in the inter war years.

Greek expansion
The military aspect of the war began with the Armistice of Mudros. The military operations of the Greco-Turkish war can be roughly divided into three main phases: the first phase, spanning the period from May 1919 to October 1920, encompassed the Greek Landings in Asia Minor and their consolidation along the Aegean Coast. The second phase lasted from October 1920 to August 1921, and was characterised by Greek offensive operations. The third and final phase lasted until August 1922, when the strategic initiative was held by the Turkish Army.

Landing at Smyrna (May 1919)
On 15 May 1919, twenty thousand Greek soldiers landed in Smyrna and took control of the city and its surroundings under cover of the Greek, French, and British navies. Legal justifications for the landings was found in Article 7 of the Armistice of Mudros, which allowed the Allies "to occupy any strategic points in the event of any situation arising which threatens the security of Allies." The Greeks had already brought their forces into Eastern Thrace (apart from Constantinople and its region).

The Christian population of Smyrna (mainly Greeks and Armenians), according to different sources, either formed a minority or a majority compared to Muslim Turkish population of the city. The Greek army also consisted of 2,500 Armenian volunteers. The majority of the Greek population residing in the city greeted the Greek troops as liberators.

Greek summer offensives (Summer 1920)
During the summer of 1920, the Greek army launched a series of successful offensives in the directions of the Büyük Menderes River (Meander) Valley, Bursa (Prusa) and Alaşehir (Philadelphia). The overall strategic objective of these operations, which were met by increasingly stiff Turkish resistance, was to provide strategic depth to the defence of Smyrna. To that end, the Greek zone of occupation was extended over all of Western and most of North-Western Anatolia.

Treaty of Sèvres (August 1920)
In return for the contribution of the Greek army on the side of the Allies, the Allies supported the assignment of eastern Thrace and the millet of Smyrna to Greece. This treaty ended the First World War in Asia Minor and, at the same time, sealed the fate of the Ottoman Empire. Henceforth, the Ottoman Empire would no longer be a European power.

On 10 August 1920, the Ottoman Empire signed the Treaty of Sèvres ceding to Greece Thrace, up to the Chatalja lines. More importantly, Turkey renounced to Greece all rights over Imbros and Tenedos, retaining the small territories of Constantinople, the islands of Marmara, and "a tiny strip of European territory". The Straits of Bosporus were placed under an International Commission, as they were now open to all.

Turkey was furthermore forced to transfer to Greece "the exercise of her rights of sovereignty" over Smyrna in addition to "a considerable Hinterland, merely retaining a 'flag over an outer fort'." Though Greece administered the Smyrna enclave, its sovereignty remained, nominally, with the Sultan. According to the provisions of the Treaty, Smyrna was to maintain a local parliament and, if within five years time she asked to be incorporated within the Kingdom of Greece, the provision was made that the League of Nations would hold a plebiscite to decide on such matters.

The treaty was never ratified by the Ottoman Empire nor Greece.

Greek advance (October 1920)
In October 1920, the Greek army advanced further east into Anatolia, with the encouragement of Lloyd George, who intended to increase pressure on the Turkish and Ottoman governments to sign the Treaty of Sèvres. This advance began under the Liberal government of Eleftherios Venizelos, but soon after the offensive began, Venizelos fell from power and was replaced by Dimitrios Gounaris. The strategic objective of these operations was to defeat the Turkish Nationalists and force Mustafa Kemal into peace negotiations. The advancing Greeks, still holding superiority in numbers and modern equipment at this point, had hoped for an early battle in which they were confident of breaking up ill-equipped Turkish forces. Yet they met with little resistance, as the Turks managed to retreat in an orderly fashion and avoid encirclement. Churchill said: "The Greek columns trailed along the country roads passing safely through many ugly defiles, and at their approach the Turks, under strong and sagacious leadership, vanished into the recesses of Anatolia."

Change in Greek government (November 1920)
During October 1920, King Alexander, who had been installed on the Greek throne on 11 June 1917 when his father Constantine was pushed into exile by the Venizelists, was bitten by a monkey kept at the Royal Gardens and died within days from sepsis. After King Alexander died without heirs, the legislative elections scheduled to be held on 1 November 1920, suddenly became the focus of a new conflict between the supporters of Venizelos and the Royalists. The anti-Venizelist faction campaigned on the basis of accusations of internal mismanagement and authoritarian attitudes of the government, which, due to the war, had stayed in power without elections since 1915. At the same time they promoted the idea of disengagement in Asia Minor, without though presenting a clear plan as to how this would happen. On the contrary, Venizelos was identified with the continuation of a war that did not seem to go anywhere. The majority of the Greek people were both war-weary and tired of the almost dictatorial regime of the Venizelists, so opted for change. To the surprise of many, Venizelos won only 118 out of the total 369 seats. The crushing defeat obliged Venizelos and a number of his closest supporters to leave the country. To this day his rationale to call elections at that time is questioned.

The new government under Dimitrios Gounaris prepared for a plebiscite on the return of King Constantine.

A month later a plebiscite called for the return of King Constantine. Soon after his return, the King replaced many of the World War I Venizelist officers and appointed inexperienced monarchist officers to senior positions. The leadership of the campaign was given to Anastasios Papoulas, while King Constantine himself assumed nominally the overall command. The High Commissioner in Smyrna, Aristeidis Stergiadis, however was not removed.

The British and French government promised Greeks to give 850,000,000 golden franks ,but because of the government change in Greece, and heavy losses in Cilicia, the French government stopped supporting the Greeks until a small period between the Battle of Kütahya-Eskişehir and the end of the Battle of the Sakarya. The British government were also uneasy, but they preferred to wait. The Greeks, afraid of losing the support of the British, did not liquidate some Venizelist officers. The British continued to promise that they will give 850,000,000 golden franks.

Gediz Offensive
After the summer offensive of 1920, the Turkish irregular forces attacked the Greek Army which is under the command of Constantinos Matenas. Even though the offensive was successful, the opportunity of sieging the and destroying of the 13th Infantry Division of Greece (the division had nearly ~15,000 men) was gone because of the arbitrary behaviours of the Kuva-yi Seyyare under the command of the Çerkes Ethem. Because of these events, the Grand National Assembly of the Turkish Nationalists started to create a regular force.The regular forces was going to loose the Battle of Kütahya-Eskişehir only against the Greek Armed Forces.

Battles of İnönü (December 1920 – March 1921)
By December 1920, the Greeks had advanced on two fronts, approaching Eskişehir from the North West and from Smyrna, and had consolidated their occupation zone. In early 1921 they resumed their advance with small scale reconnaissance incursions that met stiff resistance from entrenched Turkish Nationalists, who were increasingly better prepared and equipped as a regular army.

The Greek advance was halted for the first time at the First Battle of İnönü on 11 January 1921. Even though this was a minor confrontation involving only one Greek division, it held political significance for the fledgling Turkish revolutionaries. This development led to Allied proposals to amend the Treaty of Sèvres at a conference in London where both the Turkish Revolutionary and Ottoman governments were represented.

Although some agreements were reached with Italy, France and Britain, the decisions were not agreed to by the Greek government, who believed that they still retained the strategic advantage and could yet negotiate from a stronger position. The Greeks initiated another attack on 27 March, the Second Battle of İnönü, where the Turkish troops fiercely resisted and finally halted the Greeks on 30 March. The British government supported Greeks with 6in howitzer during Second Battle of İnönü. The Turkish forces received arms assistance from Soviet Russia.

Shift of support towards the Turkish national movement
By this time all other fronts had been settled in favour of the Turks, freeing more resources for the main threat of the Greek Army. France and Italy concluded private agreements with the Turkish revolutionaries in recognition of their mounting strength. They viewed Greece as a British client, and sold military equipment to the Turks. The new Bolshevik government of Russia became friendly to the Turkish revolutionaries, as shown in the Treaty of Moscow (1921). The Bolsheviks supported Mustafa Kemal and his forces with money and ammunition. In 1920 alone, Bolshevik Russia supplied the Kemalists with 6,000 rifles, over 5 million rifle cartridges, and 17,600 shells as well as 200.6 kg (442.2 lb) of gold bullion. In the subsequent two years the amount of aid increased.

Battle of Afyonkarahisar-Eskişehir (July 1921)

Between 27 June and 20 July 1921, a reinforced Greek army of nine divisions launched a major offensive, the greatest thus far, against the Turkish troops commanded by İsmet İnönü on the line of Afyonkarahisar-Kütahya-Eskişehir. The plan of the Greeks was to cut Anatolia in two, as the above towns were on the main rail-lines connecting the hinterland with the coast. Eventually, after breaking the stiff Turkish defences, they occupied these strategically important centres. Instead of pursuing and decisively crippling the nationalists' military capacity, the Greek Army halted. In consequence, and despite their defeat, the Turks managed to avoid encirclement and made a strategic retreat on the east of the Sakarya River, where they organised their last line of defence.

This was the major decision that sealed the fate of the Greek campaign in Anatolia. The state and Army leadership, including King Constantine, Prime Minister Dimitrios Gounaris, and General Anastasios Papoulas, met at Kütahya where they debated the future of the campaign. The Greeks, with their faltering morale rejuvenated, failed to appraise the strategic situation that favoured the defending side; instead, pressed for a 'final solution', the leadership was polarised into the risky decision to pursue the Turks and attack their last line of defence close to Ankara. The military leadership was cautious and asked for more reinforcements and time to prepare, but did not go against the politicians. Only a few voices supported a defensive stance, including Ioannis Metaxas. Constantine by this time had little actual power and did not argue either way. After a delay of almost a month that gave time to the Turks to organise their defence, seven of the Greek divisions crossed east of the Sakarya River.

Battle of Sakarya (August and September 1921)
Following the retreat of the Turkish troops under İsmet İnönü in the battle of Kütahya-Eskişehir the Greek Army advanced afresh to the Sakarya River (Sangarios in Greek), less than 100 km west of Ankara. Constantine's battle cry was "to Angira" and the British officers were invited, in anticipation, to a victory dinner in the city of Kemal. It was envisaged that the Turkish Revolutionaries, who had consistently avoided encirclement would be drawn into battle in defence of their capital and destroyed in a battle of attrition.

Despite the Soviet help, supplies were short as the Turkish army prepared to meet the Greeks. Owners of private rifles, guns and ammunition had to surrender them to the army and every household was required to provide a pair of underclothing and sandals. Meanwhile, the Turkish parliament, not happy with the performance of İsmet İnönü as the Commander of the Western Front, wanted Mustafa Kemal and Chief of General Staff Fevzi Çakmak to take control.

Greek forces marched 200 km for a week through the desert to reach attack positions, so the Turks could see them coming. Food supplies were 40 tons of bread and salt, sugar and tea, the rest to be found on the way.

The advance of the Greek Army faced fierce resistance which culminated in the 21-day Battle of Sakarya (23 August – 13 September 1921). The Turkish defense positions were centred on series of heights, and the Greeks had to storm and occupy them. The Turks held certain hilltops and lost others, while some were lost and recaptured several times over. Yet the Turks had to conserve men, for the Greeks held the numerical advantage. The crucial moment came when the Greek army tried to take Haymana, 40 km south of Ankara, but the Turks held out. Greek advances into Anatolia had lengthened their lines of supply and communication and they were running out of ammunition. The ferocity of the battle exhausted both sides but the Greeks were the first to withdraw to their previous lines. The thunder of cannon was plainly heard in Ankara throughout the battle.

That was the furthest in Anatolia the Greeks would advance, and within a few weeks they withdrew in an orderly manner back to the lines that they had held in June. The Turkish Parliament awarded both Mustafa Kemal and Fevzi Çakmak with the title of Field Marshal for their service in this battle. To this day no other person has received this five-star general title from the Turkish Republic.

Stalemate (September 1921 – August 1922)

Having failed to reach a military solution, Greece appealed to the Allies for help, but early in 1922 Britain, France and Italy decided that the Treaty of Sèvres could not be enforced and had to be revised. In accordance with this decision, under successive treaties, the Italian and French troops evacuated their positions, leaving the Greeks exposed.

In March 1922, the Allies proposed an armistice. Feeling that he now held the strategic advantage, Mustafa Kemal declined any settlement while the Greeks remained in Anatolia and intensified his efforts to re-organise the Turkish military for the final offensive against the Greeks. At the same time, the Greeks strengthened their defensive positions, but were increasingly demoralised by the inactivity of remaining on the defensive and the prolongation of the war. The Greek government was desperate to get some military support from the British or at least secure a loan, so it developed an ill-thought plan to force the British diplomatically, by threatening their positions in Constantinople, but this never materialised. The occupation of Constantinople would have been an easy task at this time because the Allied troops garrisoned there were much fewer than the Greek forces in Thrace (two divisions). The result though was instead to weaken the Greek defences in Smyrna by withdrawing troops. The Turkish forces, on the other hand, were recipients of significant assistance from Soviet Russia. On 29 April, the Soviet authorities supplied the Turkish consul critical quantities of arms and ammunition, sufficient for three Turkish divisions. On 3 May, the Soviet government handed over 33,500,000 gold rubles to Turkey—the balance of the credit of 10,000,000 gold rubles.

Voices in Greece increasingly called for withdrawal, and demoralizing propaganda spread among the troops. Some of the removed Venizelist officers organised a movement of "National Defense" and planned a coup to secede from Athens, but never gained Venizelos's endorsement and all their actions remained fruitless.

Historian Malcolm Yapp wrote that: "After the failure of the March negotiations the obvious course of action for the Greeks was to withdraw to defensible lines around İzmir but at this point fantasy began to direct Greek policy, the Greeks stayed in their positions and planned a seizure of Constantinople, although this latter project was abandoned in July in the face of Allied opposition."

Dumlupınar
The Turks finally launched a counter-attack on 26 August, what has come to be known to the Turks as the "Great Offensive" (Büyük Taarruz). The major Greek defense positions were overrun on 26 August, and Afyon fell next day. On 30 August, the Greek army was defeated decisively at the Battle of Dumlupınar, with many of its soldiers captured or slain and a large part of its equipment lost. This date is celebrated as Victory Day, a national holiday in Turkey and salvage day of Kütahya. During the battle, the Greek generals Nikolaos Trikoupis and Kimon Digenis were captured by the Turkish forces. General Trikoupis learned only after his capture that he had been recently appointed Commander-in-Chief in General Hatzianestis' place. According to the Greek Army General Staff, major generals Nikolaos Trikoupis and Kimon Digenis surrendered on 30 August 1922 by the village of Karaja Hissar due to lack of ammunitions, food and supplies On 1 September, Mustafa Kemal issued his famous order to the Turkish army: "Armies, your first goal is the Mediterranean, Forward!"

Turkish advance on Smyrna
On 2 September, Eskişehir was captured and the Greek government asked Britain to arrange a truce that would at least preserve its rule in Smyrna. However Mustafa Kemal Atatürk had categorically refused to acknowledge even a temporary Greek occupation of Smyrna, calling it a foreign occupation, and pursued an aggressive military policy instead. Balıkesir and Bilecik were taken on 6 September, and Aydın the next day. Manisa was taken on 8 September. The government in Athens resigned. Turkish cavalry entered Smyrna on 9 September. Gemlik and Mudanya fell on 11 September, with an entire Greek division surrendering. The expulsion of the Greek Army from Anatolia was completed on 18 September. As historian George Lenczowski has put it: "Once started, the offensive was a dazzling success. Within two weeks the Turks drove the Greek army back to the Mediterranean Sea."

The vanguards of Turkish cavalry entered the outskirts of Smyrna on 9 September. On the same day, the Greek headquarters had evacuated the town. The Turkish cavalry rode into the town around eleven o'clock on the Saturday morning of 9 September. On 10 September, with the possibility of social disorder, Mustafa Kemal was quick to issue a proclamation, sentencing to death any Turkish soldier who harmed non-combatants. A few days before the Turkish capture of the city, Mustafa Kemal's messengers distributed leaflets with this order written in Greek. Mustafa Kemal said that the Ankara government would not be held responsible for any occurrence of a massacre.

Atrocities were committed against Greek and Armenian populaces, and their properties were pillaged. Most of the eye-witness reports identified troops from the Turkish army having set the fire in the city. The Greek and Armenian quarters of the city were burned, the Turkish as well as Jewish quarters stood.

Chanak Crisis
After re-capturing Smyrna, Turkish forces headed north for the Bosporus, the sea of Marmara, and the Dardanelles where the Allied garrisons were reinforced by British, French and Italian troops from Constantinople. In an interview with George Ward Price published in the Daily Mail, 15 September, Mustafa Kemal stated that: "Our demands remain the same after our recent victory as they were before. We ask for Asia Minor, Thrace up to the river Maritsa and Constantinople... We must have our capital and I should in that case be obliged to march on Constantinople with my army, which will be an affair of only a few days. I must prefer to obtain possession by negotiation though, naturally I cannot wait indefinitely."

Around this time, several Turkish officers were sent to infiltrate secretly into Constantinople to help organize Turkish population living in the city in the event of a war. For instance, Ernest Hemingway, who was at the time a war correspondent for the newspaper Toronto Star, reported that: "Another night a [British] destroyer... stopped a boatload of Turkish women who were crossing from Asia Minor...On being searched for arms it turned out all the women were men. They were all armed and later proved to be Kemalist officers sent over to organize the Turkish population in the suburbs in case of an attack on Constantinople"

The British cabinet initially decided to resist the Turks if necessary at the Dardanelles and to ask for French and Italian help to enable the Greeks to remain in eastern Thrace. The British government also issued a request for military support from its Dominions. The response from the Dominions was negative (with the exception of New Zealand). Furthermore, Italian and French forces abandoned their positions at the straits and left the British alone to face the Turks. On 24 September, Mustafa Kemal's troops moved into the straits zones and refused British requests to leave. The British cabinet was divided on the matter but eventually any possible armed conflict was prevented. British General Charles Harington, allied commander in Constantinople, kept his men from firing on Turks and warned the British cabinet against any rash adventure. The Greek fleet left Constantinople upon his request. The British finally decided to force the Greeks to withdraw behind the Maritsa in Thrace. This convinced Mustafa Kemal to accept the opening of armistice talks.

Resolution
The Armistice of Mudanya was concluded on 11 October 1922. The Allies (Britain, France and Italy) retained control of eastern Thrace and the Bosporus. The Greeks were to evacuate these areas. The agreement came into force starting 15 October 1922, one day after the Greek side agreed to sign it.

The Armistice of Mudanya was followed by the Treaty of Lausanne. Separate from this treaty, Turkey and Greece came to an agreement covering an exchange of populations. Over one million Greek Orthodox Christians were displaced; most of them were resettled in Attica and the newly incorporated Greek territories of Macedonia and Thrace and were exchanged with about 500,000 Muslims displaced from Greek territories.

Factors contributing to the outcome
The Greeks estimated, despite warnings from the French and British not to underestimate the enemy, that they would need only three months to defeat the already weakened Turks on their own. Exhausted from four years of bloodshed, no Allied power had the will to engage in a new war and relied on Greece. During the Conference of London in February 1921, the Greek prime minister Kalogeropoulos revealed that the morale of the Greek army was excellent and their courage was undoubted, he added that in his eyes the Kemalists were "not regular soldiers; they merely constituted a rabble worthy of little or no consideration". Still, the Allies had doubts about Greek military capacity to advance in Anatolia, facing vast territories, long lines of communication, financial shortcomings of the Greek treasury and above all the toughness of the Turkish peasant/soldier. After the Greek failure to rout and defeat the new established Turkish army in the First and Second Battle of İnönü the Italians began to evacuate their occupation zone in southwestern Anatolia in July 1921. Furthermore, the Italians also claimed that Greece had violated the limits of the Greek occupation laid down by the Council of Four. France, on the other hand, had its own front in Cilicia with the Turkish nationalists. The French, like the other Allied powers, had changed their support to the Turks in order to build a strong buffer state against the Bolsheviks after October 1921 and were looking to leave. After the Greeks had failed again to knock out the Turks in the decisive Battle of Sakarya, the French finally signed the Treaty of Ankara (1921) with the Turks in late October 1921. The Allied Forces ,who came to Black Sea in 1919, forced to leave there by Turkish forces on 1920. After that, supperssing the Pontic rebels had gotten easier for the Turkish 15th division. The Greek Navy bombarded some larger ports (June and July 1921 Inebolu; July 1921 Trabzon, Sinop; August 1921 Rize, Trabzon; September 1921 Araklı, Terme, Trabzon; October 1921 Izmit; June 1922 Samsun). The Greek Navy was able to blockade the Black Sea coast especially before and during the First and Second İnönü, Kütahya–Eskişehir and Sakarya battles, preventing weapon and ammunition shipments.

Having adequate supplies was a constant problem for the Greek Army. Although it was not lacking in men, courage or enthusiasm, it was soon lacking in nearly everything else. Due to her poor economy, Greece could not sustain long-term mobilisation. According to a British report from May 1922, 60,000 Anatolian Greeks, Armenians and Circassians served under arms in the Greek occupation (of this number, 6,000–10,000 were Circassians). In comparison, the Turks also had difficulties to find enough fit men, as a result of 1.5 million military casualties during World War I. Very soon, the Greek Army exceeded the limits of its logistical structure and had no way of retaining such a large territory under constant attack by initially irregular and later regular Turkish troops. The idea that such large force could sustain offensive by mainly "living off the land" proved wrong. Although the Greek Army had to retain a large territory after September 1921, the Greek Army was more motorized than the Turkish Army. The Greek Army had in addition to 63,000 animals for transportation, 4,036 trucks and 1,776 automobiles/ambulances, (according to the Greek Army History Directorate total number of trucks, including ambulances, was 2500). Only 840 of them have been used for the advance to Angora, also 1.600 camels and a great number of ox and horse carts, whereas the Turkish Army relied on transportation with animals. They had 67,000 animals (of whom were used as: 3,141 horse carts, 1,970 ox carts, 2,318 tumbrels and 71 phaetons), but only 198 trucks and 33 automobiles/ambulances.

As the supply situation worsened for the Greeks, things improved for the Turks. After the Armistice of Mudros, the Allies had dissolved the Ottoman army, confiscated all Ottoman weapons and ammunition, hence the Turkish National Movement which was in the progress of establishing a new army, was in desperate need of weapons. In addition to the weapons not yet confiscated by the Allies, they enjoyed Soviet support from abroad, in return for giving Batum to the Soviet Union. The Soviets also provided monetary aid to the Turkish National Movement, not to the extent that they promised but almost in sufficient amount to make up the large deficiencies in the promised supply of arms. One of the main reasons for Soviet support was that Allied forces were fighting on Russian soil against the Bolshevik regime, therefore the Turkish opposition was much favored by Moscow. The Italians were embittered from their loss of the Smyrna mandate to the Greeks, and they used their base in Antalya to arm and train Turkish troops to assist the Kemalists against the Greeks.

A British military attaché, who inspected the Greek Army in June 1921, was quoted as saying, "[It is a] more efficient fighting machine than I have ever seen it." Later he wrote: "The Greek Army of Asia Minor, which now stood ready and eager to advance, was the most formidable force the nation had ever put into field. Its morale was high. Judged by Balkan standards, its staff was capable, its discipline and organization good." Turkish troops had a determined and competent strategic and tactical command, manned by World War I veterans. The Turkish army enjoyed the advantage of being in defence, executed in the new form of 'area defence'.

Mustafa Kemal presented himself as revolutionary to the communists, protector of tradition and order to the conservatives, patriot soldier to the nationalists, and a Muslim leader for the religious, so he was able to recruit all Turkish elements and motivate them to fight. The Turkish National Movement attracted sympathizers especially from the Muslims of the far east countries. The Khilafet Committee in Bombay started a fund to help the Turkish National struggle and sent both financial aid and constant letters of encouragement. Not all of the money arrived, and Mustafa Kemal decided not use the money that was sent by the Khilafet Committee. The money was restored in the Ottoman Bank. After the war, it was later used for the founding of the Türkiye İş Bankası.

Turkish genocides of Greeks and Armenians
Rudolph J. Rummel estimated that from 1900 to 1923, various Turkish regimes killed from 3,500,000 to over 4,300,000 Armenians, Greeks, and Assyrians. Rummel estimates that 440,000 Armenian civilians and 264,000 Greek civilians were killed by Turkish forces during the Turkish War of Independence between 1919 and 1922. However, he also gives the figures in his study of between 1.428 and 4.388 million dead of whom 2.781 millions were Armenian, Greek, Nestorians, Turks, Circassians and others, in line 488. British historian and journalist Arnold J. Toynbee stated that when he toured the region he saw numerous Greek villages that had been burned to the ground. Toynbee also stated that the Turkish troops had clearly, individually and deliberately, burned down each house in these villages, pouring petrol on them and taking care to ensure that they were totally destroyed. There were massacres throughout 1920–23, the period of the Turkish War of Independence, especially of Armenians in the East and the South, and against the Greeks in the Black Sea Region. Ultimately, by 1922, the majority of Ottoman Greeks of Anatolia had either become refugees or had died.

Greeks suffered in the Turkish labor battalions. Many of the Greek deportations involved chiefly women and children as, by early 1915, most army-age Greek men had been mobilized in Ottoman labor battalions or had fled their homes to avoid conscription. According to Rendel, atrocities such as deportations involving death marches, starvation in labour camps etc. were referred to as "white massacres". Ottoman official Rafet Bey was active in the genocide of the Greeks and in November 1916, Austrian consul in Samsun, Kwiatkowski, reported that he said to him "We must finish off the Greeks as we did with the Armenians ... today I sent squads to the interior to kill every Greek on sight". : "Many (Greeks), however, were massacred by the Turks, especially at Smyrna (today's İzmir) as the Greek army withdrew at the end of their headlong retreat from central Anatolia at the end of the Greco-Turkish War. Especially poorly treated were the Pontic Greeks in eastern Anatolia on the Black Sea. In 1920, as the Greek army advanced, many were deported to the Mesopotamian desert as had been the Armenians before them. Nevertheless, approximately 1,200,000 Ottoman Greek refugees arrived in Greece at the end of the war. When one adds to the total the Greeks of Constantinople who, by agreement, were not forced to flee, then the total number comes closer to the 1,500,000 Greeks in Anatolia and Thrace. Here, a strong distinction between intention and action is found. According to the Austrian consul at Amisos, Kwiatkowski, in his November 30, 1916, report to foreign minister Baron Burian: 'on 26 November Rafet Bey told me: "we must finish off the Greeks as we did with the Armenians..." on 28 November Rafet Bey told me: "today I sent squads to the interior to kill every Greek on sight." I fear for the elimination of the entire Greek population and a repeat of what occurred last year.' Or according to a January 31, 1917, report by Chancellor Hollweg of Austria: the indications are that the Turks plan to eliminate the Greek element as enemies of the state, as they did earlier with the Armenians. The strategy implemented by the Turks is of displacing people to the interior without taking measures for their survival by exposing them to death, hunger, and illness. The abandoned homes are then looted and burnt or destroyed. Whatever was done to the Armenians is being repeated with the Greeks. Massacres most likely did take place at Amisos and other villages in Pontus. Yet given the large number of surviving Greeks, especially relative to the small number of Armenian survivors, the massacres apparently were restricted to Pontus, Smyrna, and selected other 'sensitive' regions." According to a French report in 1918:

"The miserable men in the labor battalions are dispersed in different directions in the far ends of the Empire, from the shores of Asia Minor and the Black Sea to the Caucasus, Bagdad, Mesopotamia and Egypt; some of them to build military roads, others to dig the tunnels of Bagdad railway...I saw those wretched men in the hospitals of Konya, stretched upon their beds or on the ground, resembling living skeletons, longing for death to end their sufferings...To describe this disastrous situation I shall conclude that as a result of high level of mortality the cemetery of Konya is full of corpses of the soldiers serving in the labor battalions, and in each tomb there lie four, five or sometimes even six corpses just like dogs."

Sivas province governor Ebubekir Hâzım Tepeyran said in 1919 that the massacres were so horrible that he could not bear to report them. He referred to the atrocities committed against Greeks in the Black Sea region, and according to the official tally 11,181 Greeks were murdered in 1921 by the Central Army under the command of Nurettin Pasha (who is infamous for the killing of Archbishop Chrysostomos). Some parliamentary deputies demanded that Nurettin Pasha be sentenced to death and it was decided to put him on trial, although the trial was later revoked by the intervention of Mustafa Kemal. Taner Akçam wrote that according to one newspaper, Nurettin Pasha had proposed the killing of all the remaining Greek and Armenian populations in Anatolia, a suggestion rejected by Mustafa Kemal.

There were also several contemporary Western newspaper articles reporting the atrocities committed by Turkish forces against Christian populations living in Anatolia, mainly Greek and Armenian civilians. For instance, according to the London Times, "The Turkish authorities frankly state it is their deliberate intention to let all the Greeks die, and their actions support their statement." An Irish paper, the Belfast News Letter wrote, "The appalling tale of barbarity and cruelty now being practiced by the Angora Turks is part of a systematic policy of extermination of Christian minorities in Asia Minor." According to the Christian Science Monitor, the Turks felt that they needed to murder their Christian minorities due to Christian superiority in terms of industriousness and the consequent Turkish feelings of jealousy and inferiority. The paper wrote: "The result has been to breed feelings of alarm and jealousy in the minds of the Turks, which in later years have driven them to depression. They believe that they cannot compete with their Christian subjects in the arts of peace and that the Christians and Greeks especially are too industrious and too well educated as rivals. Therefore, from time to time they have striven to try and redress the balance by expulsion and massacre. That has been the position generations past in Turkey again if the Great powers are callous and unwise enough to attempt to perpetuate Turkish misrule over Christians." According to the newspaper the Scotsman, on 18 August 1920, in the Feival district of Karamusal, South-East of Ismid in Asia Minor, the Turks massacred 5,000 Christians. There were also massacres during this period against Armenians, continuing the policies of the 1915 Armenian Genocide according to some Western newspapers. On 25 February 1922, 24 Greek villages in the Pontus region were burnt to the ground. An American newspaper, the Atlanta Observer wrote: "The smell of the burning bodies of women and children in Pontus" said the message "comes as a warning of what is awaiting the Christian in Asia Minor after the withdrawal of the Hellenic army." In the first few months of 1922, 10,000 Greeks were killed by advancing Kemalist forces, according to Belfast News Letter. According to the Philadelphia Evening Bulletin the Turks continued the practice of slavery, seizing women and children for their harems and raping numerous women. The Christian Science Monitor wrote that Turkish authorities also prevented missionaries and humanitarian aid groups from assisting Greek civilians who had their homes burned, the Turkish authorities leaving these people to die despite abundant aid. The Christian Science Monitor wrote: "the Turks are trying to exterminate the Greek population with more vigor than they exercised towards the Armenians in 1915." German and Austro-Hungarian diplomats, as well as the 1922 memorandum compiled by British diplomat George W. Rendel on "Turkish Massacres and Persecutions", provided evidence for series of systematic massacres and ethnic cleansing of the Greeks in Asia Minor.

Henry Morgenthau, the United States ambassador to the Ottoman Empire from 1913 to 1916, accused the "Turkish government" of a campaign of "outrageous terrorizing, cruel torturing, driving of women into harems, debauchery of innocent girls, the sale of many of them at 80 cents each, the murdering of hundreds of thousands and the deportation to and starvation in the desert of other hundreds of thousands, [and] the destruction of hundreds of villages and many cities", all part of "the willful execution" of a "scheme to annihilate the Armenian, Greek and Syrian Christians of Turkey". However, months prior to the First World War, 100,000 Greeks were deported to Greek islands or the interior which Morgenthau stated, "for the larger part these were bona-fide deportations; that is, the Greek inhabitants were actually removed to new places and were not subjected to wholesale massacre. It was probably the reason that the civilized world did not protest against these deportations".

US Consul-General George Horton, whose account has been criticised by scholars as anti-Turkish,  claimed, "One of the cleverest statements circulated by the Turkish propagandists is to the effect that the massacred Christians were as bad as their executioners, that it was '50–50'." On this issue he comments: "Had the Greeks, after the massacres in the Pontus and at Smyrna, massacred all the Turks in Greece, the record would have been 50–50 – almost." As an eye-witness, he also praises Greeks for their "conduct ... toward the thousands of Turks residing in Greece, while the ferocious massacres were going on", which, according to his opinion, was "one of the most inspiring and beautiful chapters in all that country's history".

Atrocities against Pontic Greeks living in the Pontus region is recognized in Greece and Cyprus as the Pontian Genocide. According to a proclamation made in 2002 by the then-governor of New York (where a sizeable population of Greek Americans resides), George Pataki, the Greeks of Asia Minor endured immeasurable cruelty during a Turkish government-sanctioned systematic campaign to displace them; destroying Greek towns and villages and slaughtering additional hundreds of thousands of civilians in areas where Greeks composed a majority, as on the Black Sea coast, Pontus, and areas around Smyrna; those who survived were exiled from Turkey and today they and their descendants live throughout the Greek diaspora.

By 9 September 1922, the Turkish army had entered Smyrna, with the Greek authorities having left two days before. Large scale disorder followed, with the Christian population suffering under attacks from soldiers and Turkish inhabitants. The Greek archbishop Chrysostomos had been lynched by a mob which included Turkish soldiers, and on 13 September, a fire from the Armenian quarter of the city had engulfed the Christian waterfront of the city, leaving the city devastated. The responsibility for the fire is a controversial issue; some sources blame Turks, and some sources blame Greeks or Armenians. Some 50,000 to 100,000 Greeks and Armenians were killed in the fire and accompanying massacres.

Greek massacres of Turks
British historian Arnold J. Toynbee wrote that there were organized atrocities following the Greek landing at Smyrna on 15 May 1919. He also stated that he and his wife were witnesses to the atrocities perpetrated by Greeks in the Yalova, Gemlik, and Izmit areas and they not only obtained abundant material evidence in the shape of "burnt and plundered houses, recent corpses, and terror stricken survivors" but also witnessed robbery by Greek civilians and arson by Greek soldiers in uniform as they were being perpetrated. Toynbee wrote that as soon as the Greek Army landed, they started committing atrocities against Turkish civilians, as they "laid waste the fertile Maeander (Meander) Valley", and forced thousands of Turks to take refuge outside the borders of the areas controlled by the Greeks. Secretary of State for the Colonies and later Prime Minister of the United Kingdom, Winston Churchill comparing the specific activities with the genocide policies perpetrated by the Turkish side noted that the Greek atrocities were on "a minor scale" compared to the "appalling deportations of Greeks from the Trebizond and Samsun district."

During the Battle of Bergama, the Greek army committed a massacre against Turkish civilians in Menemen killing 200 and injuring 200 people. Some Turkish sources claim that the death count of the Menemen massacre was 1000. On 24 June 1921, a massacre occurred in İzmit, resulting in the death of more than 300 Turkish civilians according to Arnold J. Toynbee.

Elias Venezis, in his book Number 31328, states that the returning Greek Army belonging to the 4th regiment found around 40 dead Greek soldiers and commenced their "Retalliation Workshops". He mentions that a young Turkish child from Lesbos and a mother was also among the civilians massacred. The skull of the living people (Turks), were slowly cut with a saw. Arms were crushed with weights and eyes were gouged out with whatever tools the Greek soldiers had. He also adds that the Turks were huddled in the shack of the Workshop, watching and waiting in line. In later versions, this part was deleted and revised to only "There was a lot of retaliation then" These events are also mentioned by the mayor of Soma, Osman Nuri, in his telegraph dated 20 June 1919. He stated that more than 50 thousand Muslim refugees had arrived to his jurisdiction from the surroundings of Bergama, and that the Greek soldiers had committed atrocities that are much worse than even the atrocities committed in the Middle Ages. In these events, he adds that the Greek soldiers had turned their atrocities to civilians, which includes murder, rape, and pillaging of households into an amusement for themselves. A similar atrocity was witnessed by Lieutenant Ali Rıza Akıncı on the morning of 8 September 1922, in the railway station of Saruhanlı, which provoked his units to burn the Greek Soldiers in a nearby barn whom they had taken prisoners. He describes the atrocities with the following words: "Nine Turkish villagers were killed, the dead were manipulated to disgrace humanity as long as the world stood still, and nine dead people were turned into a ring by putting the finger of one to the ass of the other, the genitals of one to the mouth of the other."

Harold Armstrong, a British officer who was a member of the Inter-Allied Commission, reported that as the Greeks pushed out from Smyrna, they massacred and raped civilians, and burned and pillaged as they went. However, other British officials found no evidence for this claim.

Some testimonies exist of atrocities in Eastern Thrace. In one village the Greek army allegedly demanded 500 gold liras to spare the town; however, after payment, the village was still sacked. Robbery of Muslim civilians were also mentioned in the memories of a local Greek from Şile. There, the Greek non-commissioned officers, and the "Greek deserters", who had been appointed guards of his homeland, went to the villages to search for rifles. In the villages, they hunted for any rich Turk, and tortured them by hanging the victim upside down, and burning the grass underneath in order for them to reveal where they hid weapons. Then, a Greek from Şile would go and say to him, "Give me a hundred liras and we will save you". Same method of torture and killing is also verified in the report of Ziya Paşa, the last Ottoman Minister of War, regarding the atrocities in Eastern Thrace dating to 27 April 1921. The report stated that a Muslim woman in the village of Hamidiye, Uzunköprü was hanged upside down in a tree and was burned with the fire below her, while a cat was put inside her underwear while being forced to confess the location of her husband's weapons. Moreover, the report included a similar example of the same atrocity done to Efrahim Ağa, the elder muhtar of village Seymen in Silivri. Only this time the victim was hanged straight and was burned from his legs.

The Inter-Allied commission, consisting of British, French, American, and Italian, officers, and the representative of the Geneva International Red Cross, M. Gehri, prepared two separate collaborative reports on their investigations of the Gemlik-Yalova Peninsula Massacres. These reports found that Greek forces committed systematic atrocities against the Turkish inhabitants. The commissioners also mentioned the "burning and looting of Turkish villages", the "explosion of violence of Greeks and Armenians against the Turks", and "a systematic plan of destruction and extinction of the Moslem population". In their report dated 23 May 1921, the Inter-Allied commission stated that "This plan is being carried out by Greek and Armenian bands, which appear to operate under Greek instructions and sometimes even with the assistance of detachments of regular troops". The Inter-Allied commission also stated that the destruction of villages, and the disappearance of the Muslim population, might have been an objective to create in this region a political situation favourable to the Greek Government. The Allied investigation also pointed out that the specific events were reprisals for the general Turkish oppression of the past years and especially for the Turkish atrocities committed in the Marmara region one year before, when several Greek villages had been burned, and thousands of Greeks massacred. Arnold J. Toynbee wrote that they obtained convincing evidence that similar atrocities had been committed in wider areas all over the remainder of the Greek-occupied territories since June 1921. He argued that "the situation of the Turks in Smyrna City had become what could be called without exaggeration, a 'reign of terror'; it was to be inferred that their treatment in the country districts had grown worse in proportion."

In many cases, commanders of the Greek Army allowed and encouraged atrocities. Greek Soldier Hristos Karagiannis mentions in his diaries that in summer 1919, during and after the Battle of Aydın, Lieutenant Colonel Kondylis, who later became the Prime Minister of Greece, gave his soldiers "the right to do whatever our soul desires", and this led to some infantrymen committing atrocities. Atrocities were also mentioned in the telegraph of Nurullah Bey, the secretary of the Mutasarrıf of Aydın, dated 9 July 1919, to the State of Internal Affairs. In the telegraph, it is stated that the Greek Army, as well as the local Greek irregular bands, murdered innocent Muslims, including children, secretly and openly raped women, and burned the city down with the help of cannons. During the burning, they killed women and children who were fleeing from the fire with heavy machine guns, and that the ones who couldn't flee were burned to death. During the brief Liberation of Aydın (1919) by the Turkish National Force (Kuva-yi Milliye), the lives and properties of the local Greeks, even those who participated in the murders, were secured. After the return of the member of the national force, the Greek Army invaded Aydın once more (this time more vigorously), and "continued their brutality from where they had left off". Muslims who crossed into the direction of Çine and Denizli were massacred en masse, and prominent officials, including the Mutasarrıf, were arrested, and whether they were alive or not was unknown. Other examples where the Greek Commanders gave soldiers the freedom to commit all levels of atrocities include the events in and around Simav. Hristos Karagiannis in his memoirs mentions that his units' commander gave them the freedom "to do whatever their conscience and soul desires". The atrocities against the civilians had no limit, and were not sporadic, but were common and frequent in these areas. He adds the following about the state of the Turkish women and children: "The voices and cries of women and children do not stop day and night. The entire forest, and especially the more hidden parts, are full of people and clothing. Every woman, every child, and every impossible place is at the disposal of every Greek soldier.[...]They met as they say, entire families, many women, beautiful and ugly. Some were crying, others were mourning their husband, their honor." The campaign ended with the burning of every inhabited area, sometimes together with the elderly inhabitants. However no allied witnesses were present in the interior. These events around Demirci were also mentioned in the reports and the memoirs of İbrahim Ethem Akıncı, the commander of the Turkish Irregular "Demirci Akındjis" units and the Kaymakam of Demirci dating to 22 May 1921. The severity of the atrocities are mentioned with the following words: "A whole town was turned into ashes and many bad smells began to spread. [...] The streets could not be passed nor recognized. Many citizens lay martyred in every street. Some had only their feet, some had only one arm, some had only one head, and the other body parts had been burned black. Yarab (My God!), what is this view? [...] While we were wandering around, we came across even to some women who needed a witness to judge that they were human. They were raped by all the enemy soldiers and their feet and arms were broken, their whole bodies and faces were black, and they were sadly gone crazy. In the face of this tragedy, everyone (Akindjis) was sobbing and crying for revenge." The burning of the entirety of the town of Gördes by the Greek Occupation forces; 431 buildings, was also mentioned in the İsmet Paşa's referendum and Venizelos' reply did not contain a contrary statement to this claim.

However, the Allied report concluded that the Ismid peninsula atrocities committed by the Turks "have been considerable and more ferocious than those on the part of the Greeks". In general, as reported by a British intelligence report: "the [Turkish] inhabitants of the occupied zone have, in most cases, accepted the advent of Greek rule without demur, and in some cases, undoubtedly prefer it to the [Turkish] Nationalist regime which seems to have been founded on terrorism". British military personnel observed that the Greek army near Uşak was warmly welcomed by the Muslim population for "being freed from the license and oppression of the [Turkish] Nationalist troops"; there were "occasional cases of misconduct" by the Greek troops against the Muslim population, and the perpetrators were prosecuted by the Greek authorities, while the "worst miscreants" were "a handful of Armenians recruited by the Greek army", who were then sent back to Constantinople.

An eyewitness, a Greek Assistan Surgeon in the Greek Army, Petros Apostolidis from Ioannina who later became a prisoner of war in Uşak paint a completely different picture. In his memoirs he states that he will mention only 3 atrocities and will not mention the rest during the occupation with the following words: "Old men, women and children were locked in the mosque. Some soldiers of ours took them (to other Greek soldiers) the news, but being cowards as all lowlifes are, they did not dare, because of the crowd, to breach the door of the mosque and enter to rape its women, they gathered dry straw, threw it through the windows and set it on fire. As the smoke suffocated them, people started to come out of the door then these rascals (Greek soldiers) put the innocent women and children in the shooting range and killed quite a few. [...]They (Greek soldiers) hammered large nails into the floor, tied the women's braids to them to immobilize them, and gang-raped them." Moreover, he tells the story of a fellow doctor-officer Giannis Tzogias during their retreat, who did not stop two Greek soldiers from raping 2 Turkish girls out of fear nor shot nor reported them to their commander Trikoupis. The memoirs of Doctor Apostolidis regarding the state of Uşak and raping of Turkish girls are also verified in the official Ottoman documents from Uşak and from other Occupation zones. A report written by the Kaymakam of Balya, sent to the Ministry of Internal Affairs stated that Greek soldiers were raping girls even at the age of 10 and have done these rapings by locking the males of the villages (Aravacık, Hacı Hüseyin, Mancılık, Deliler and Haydaroba villages) in the mosques with the help of local Greeks who were informing the soldiers about the whereabouts of the beautiful girls and women. This report included the reports of the headmaster Mehmed Salih of the medrese of Uşak on his reports dating to 12th & 28 May 1922. There the headmaster states that hundreds of women and children as well as 28 notables of Uşak were taken prisoners to Athens, many people were tortured by being burned while hanging upside down, civilians were used as trench diggers, graves were desecrated and heads of the corpses were taken and were being played with by the local Greeks and Armenian children. Headmaster also states that Greek soldiers consisting of 25 men raped a beautiful Muslim girl aged 14 in the village of İslamköy in front of her parents eyes and afterwards she died and her parent have been bayoneted and that immediately a commission composed of unaligned countries should be sent there to witness the atrocities. Also, Şükrü Nail Soysal, a member of Parti Pehlivan's Platoon in his memoirs states that on 10 July 1921 his village, Ortaköy was looted and after being tortured, 40–50 males (including his brother Mehmet) were taken as prisoners and 30 were taken not to be seen again.

The behavior of Greek troops in Eastern Thrace was "exemplary". According to an American witness, when the Greek army marched into Bursa on July 8, the troops and Bursa Greeks displayed "perfectly wonderful self-control" toward the town's Turkish inhabitants, "especially when you think what they have to remember of wrongs done them and their families". Aristeidis Stergiadis, the high commissioner of Smyrna, tried to ease ethnic violence in the region. Stergiadis immediately punished the Greek soldiers responsible for violence on with court martial and created a commission to decide on payment for victims (made up of representatives from Great Britain, France, Italy and other allies). Stergiadis took a strict stance against discrimination of the Turkish population and opposed church leaders and the local Greek population on a number of occasions. Historians disagree about whether this was a genuine stance against discrimination, or whether it was an attempt to present a positive vision of the occupation to the allies. This stance against discrimination of the Turkish population often pitted Stergiadis against some segments of the Greek army. He reportedly would carry a stick through the town with which he would beat Greeks that were being abusive of Turkish citizens. Troops would sometimes disobey his orders to not abuse the Turkish population, putting him in conflict with the military. Venizelos continued to support Stergiadis despite some opposition.

Justin McCarthy reports that during the negotiations for the Treaty of Lausanne, the chief negotiator of the Turkish delegation, Ismet Pasha (İnönü), gave an estimate of 1.5 million Anatolian Muslims that had either been exiled or died in the areas of the Greek occupation zone. McCarthy lowers the estimate to 1,246,068 Muslim population loss between 1914 and 1922 in Anatolia, and arbitrarily ascribes 640,000 of those as occurring in both the Greek and British zones of operation in 1919–1922. McCarthy's work has faced harsh criticism by scholars who have characterized McCarthy's views as indefensibly biased towards Turkey and the Turkish official position as well as engaging in genocide denial. Other scholars, such as R.J. Rummel and Micheal Clodfelter give considerably lower estimates, 15,000 Turkish civilian deaths.

As part of the Lausanne Treaty, Greece recognized the obligation to pay reparations for damages caused in Anatolia, though Turkey agreed to renounce all such claims due to Greece's difficult financial situation.

Greek scorched-earth policy
According to a number of sources, the retreating Greek army carried out a scorched-earth policy while fleeing from Anatolia during the final phase of the war. Historian of the Middle East, Sydney Nettleton Fisher wrote that: "The Greek army in retreat pursued a burned-earth policy and committed every known outrage against defenceless Turkish villagers in its path." Norman M. Naimark noted that "the Greek retreat was even more devastating for the local population than the occupation".

The Greek Army not only carried out a scorched-earth policy on its retreat, but also during its advance. This can be seen also in the diary of the Cretan Greek lieutenant Pantelis Priniotakis from Rethymno. In his diary dating to 13 July 1921, he states that his advancing unit, after a little resistance, captured and burned the town of Pazarcık in just a few hours, while some of its elder population were burned alive, while its population fled once they saw the advancing Greek Army.

The same lieutenant also states that the scorched-earth policy was conducted in the Greek Army's retreat after the Battle of Sakarya in his diary dating to 17 September 1921. The retreating units of the Greek Army were burning the villages on its path while the civilian Turkish population, whose villages were being burned, could not dare to confront the Greek Army. He also states that the burning happened while the grain was still on the fields, and sums up the atrocities committed by his fellow soldiers with the following words: "there was no lack of deviance and violence by our soldiers" The severity of the war crimes committed by the retreating troops were also mentioned by another officer of the Greek Army in Anatolia, Panagiotis Demestichas, who in his memoirs he writes the following: "The destruction in the cities and villages through which we passed, the arsons and other ugliness, I am not able to describe, and I prefer that the world remains oblivious to this destruction." Greek soldier Giannis Koutsonikolas explicitly stated that his units burned Afyonkarahisar and with it burned food, equipment and ammunition together with the city. Colonel Stylianos Gonatas, states in his memoirs "the rage of destruction and looting does not distinguish nationalities". He and his units were passing through Alaşehir while it was being burned from its one end to the other. While the city was being burned by the Greek Army, neither Turkish nor Greek quarters were spared from the burning. Moreover, he adds that the Greek Army looted both Greek houses, as well as Turkish ones. Gonatas also adds that every village in the plain east of Alaşehir was burned and that his troops could not find any living person nor anyone to take with them as a guide. He also states that Salihli and later Manisa was burned by the retreating Greeks while keeping the Turkish inhabitants inside the city. He also adds that the destruction of properties by the Greek Army included even the houses of the Greek soldiers from Turgutlu. He adds that those soldiers witnessed the burning of their own houses as well as the burning of the Turkish ones while the Turks were inside their burning houses "shooting desperately" killed a mounted retinue of the colonel. When Gonatas' units reached Urla, its local Greeks even formed a Militia unit to protect themselves from the retreating Greek Army and its civilian Greek and Irregular Armenian followers such as General Turkum's unit and Gonatas states that this was "a wise act of providence" by the Greeks of Urla. Turkish military archives also state that Army Corps of General Frangkou, which Colonel Gonatas was under also continued burning the villages of Urla on their path including its Greek villages. During the Burning of Smyrna these units were burning Zeytinler village and its surrounding villages in the west of Urla.

Johannes Kolmodin was a Swedish orientalist in Smyrna. He wrote in his letters that the Greek army had burned 250 Turkish villages.

The Greek writer Elias Venezis, in his book Number 31328, states that Kırkağaç was burned from the Armenian quarter by the "enemy" who left; although this book is a memoir, in later versions the word "enemy" was changed to "Greek". This claim is also verified in the Turkish Military archives. The units that have burned Kırkağaç continued its scorched earth policy and also burned Dikili on the night of 13–14 September while the Great Fire of Smyrna was ongoing. İsmet Paşa's referendum during the Lausanne negotiations stated that 13,599 buildings in the Sanjak of Smyrna, outside the city center was burned by the Greek Army. Venizelos' reply does not have a contrary statement to this claim

Greek soldier Vasilis Diamantopoulos, who in 1922 was stationed in Aydın and was captured when he and his units (18th Greek Infantry Regiment) reached the outskirts of İzmir on 10 September 1922, states that local Greeks and other Christians of Aydın started burning their own homes in the city before the official retreat, so that the Turks couldn't find them intact. Moreover, he adds that the efforts of the Greek soldiers to put the fire down were in vain.

Kinross wrote, "Already, most of the towns in its path were in ruins. One third of Ushak no longer existed. Alashehir was no more than a dark scorched cavity, defacing the hillside. Village after village had been reduced to an ash-heap. Out of the eighteen thousand buildings in the historic holy city of Manisa, only five hundred remained." The burning of Uşak is also mentioned in the military diary of Nikos Vasilikos, a Greek soldier and an enlisted student from the island of Thasos. He mentions the burning of the town and that all the surrounding villages were burned. He adds that the fire was so large that when they finished their march of "twelve continuous hours" and reached a village, the land was "illuminated with wild splendor by the flames". Moreover, he states that the Greek Army was burning the entirety of the cities and towns, and that neither mosques nor churches were saved. When he reached Kasaba, he mentioned the following: "We reach Kasaba, which is burning from end to end. The omnivorous fire licks with its fiery tongue indiscriminately the spiers of the Churches as well as the Minarets of the Mosques." According to the French diplomat Henry Franklin-Bouillon, during the fire of Manisa, out of 11,000 houses in the city, only 1,000 remained.

In one of the examples of the Greek atrocities during their Occupation, on 14 February 1922, in the Turkish village of Karatepe in Aydın Vilayeti, after being surrounded by the Greeks, all the inhabitants were put into the mosque, and the mosque was burned. The few who escaped the fire were shot. The Italian consul, M. Miazzi, reported that he had just visited a Turkish village where Greeks had slaughtered some sixty women and children. This report was then corroborated by Captain Kocher, the French consul.

Scorched earth against livestock
Greek scorched-earth policy also included mass slaughter of livestock. Stylianos Gonatas states that before embarking the ships in Çeşme on September 14–15, 1922, that the Greek Army ordered mass shooting of the horses and other animals and that this was the result of the egoistic recklessness of many men in the Greek Army. Moreover, the colonel states that this was done also by other units with the following words: "the divisions of the 2nd Army Corps that preceded us had abandoned a thousand cattle, their thirsty eyes and the absence of running water wandering mournfully around the wells, hoping to be watered." Fahrettin Altay, the general of the 5th Cavalry Sidearmy which were in the pursuit of the retreating Greek forces (General Frangou/Southern Group) in the peninsula saw those animals on the morning of 16 September. He states the following for the condition of the animals and the peninsula: "Greek soldiers escaping from Anatolia were able to escape as far as Çeşme with the horses they gathered from the villages. Their horses were also injured, bruised and skinny, some of them were scattered in the sea from hunger and thirst, and some of them were lying on the sand. Some of them were licking the damp stones on the dried fountain heads. Some of the poor animals were dead and some were about to die. We paused in the face of this heart-wrenching sight and collected and cared for those who could possibly be saved. We were also very saddened by the fact that the artillery carrier horses were killed by being tied to their feet with wires." Official documents from the Turkish military archives also state that around 500 battle animals were found dead and a thousand were saved and with all other animals from the peninsula were delivered to the animal depot near the Şirinyer Station by the 3rd Cavalry Division Ernest Hemingway who witnessed the Greek withdrawal from Edirne, Eastern Thrace after arriving to Constantinople on 30 September 1922 also states that the local Greek civilians were using a similar method of killing with the following words: ''"The Greeks were nice chaps too. When they evacuated they had all their baggage animals they couldn't take off with them so they just broke their forelegs and dumped them into the shallow water. All those mules with their forelegs broken pushed over into the shallow water. It was all a pleasant business. My word yes a most pleasant business."'' Greek soldiers such as Giannis Koutsonikolas from Arahova state that his units killed their own artillery animals when they were surrounded on all sides during the Great Offensive. On January 20, 1923, during Lausanne Negotiations, İsmet Paşa's referendum about Greek devastations in Anatolia stated that 134,040 Horses, 63,926 Donkeys and Mules were killed or removed and the total amount of all animals including sheep, goats, cows, camels, oxen and buffaloes killed or removed were 3,291,335. This figure and the memorandum are only regarding animals in the Greek Occupation areas in Western Anatolia, the destruction of property and animals in Eastern Thrace is not included in this memorandum. Venizelos' reply on the same day did not include a contrary statement to the destruction of animals. The Greek Independent Division, also left in Dikili, 3000 sheep, 1000 horses, steers and mules and killed some animals which were found by the 2nd Turkish Cavalry and 14th Turkish Infantry Divisions.

Population Exchange
According to the population exchange treaty signed by both the Turkish and Greek governments, Greek orthodox citizens of Turkey and Turkish and Greek Muslim citizens residing in Greece were subjected to the population exchange between these two countries. Approximately 1,500,000 Orthodox Christians, being ethnic Greeks and ethnic Turks from Turkey and about 500,000 Turks and Greek Muslims from Greece were uprooted from their homelands. M. Norman Naimark claimed that this treaty was the last part of an ethnic cleansing campaign to create an ethnically pure homeland for the Turks Historian Dinah Shelton similarly wrote that "the Lausanne Treaty completed the forcible transfer of the country's Greeks."

A large part of the Greek population was forced to leave their ancestral homelands of Ionia, Pontus and Eastern Thrace between 1914 and 1922. These refugees, as well as Greek Americans with origins in Anatolia, were not allowed to return to their homelands after the signing of the Treaty of Lausanne.

title: Greco-Turkish War (1919–1922)


text:
Hunt Club Road

Hunt Club Road, also known as Ottawa Road 32, is a major east–west route in Ottawa, Ontario, Canada. It originally ran from a dead end east of Bank Street (Ottawa Road 31, formerly Ontario Highway 31) to the Ottawa Hunt and Golf Club; later, there were many extensions due to the 1970s housing boom, first westward to Riverside Drive, then eastward to Hawthorne Road in the late 1980s. The section between Bank Street and Riverside Drive, originally only one lane in each direction, was expanded to two lanes in each direction in 1993–1994. It was further extended across the Rideau River and the southern edge of the suburbs to Richmond Road by the late 1990s; this extension is signed as West Hunt Club Road by the City of Ottawa. Construction to extend Hunt Club eastward to Highway 417 near Ramsayville was completed on August 21, 2014.

Most of Hunt Club Road is a four-lane divided principal arterial road with limited access, particularly between just west of Merivale Road and Highway 416 where it is an at-grade urban expressway. The section east of Merivale, originally a tank farm, has transformed into a major big-box retail area.

The speed limit on most sections is 80 km/h except in the South Keys area, where it is 60 km/h.

The Michael J.E. Sheflin Bridge, better known as the Hunt Club Bridge, carries the road over the Rideau River between Prince of Wales Drive (former Highway 16) and Riverside Drive. The bridge was widened over the summer of 2006, extending the left turn lanes in both directions over the full length of the bridge to alleviate congestion.

The City's Transportation Master Plan includes the widening of the road to six lanes between Highway 416 and Bank Street.

Along the road, one may find Pine Grove Park, and the Stoney Swamp Conservation Area.

Major Intersections

 * Ottawa Road 59 (Old Richmond Road)
 * Ottawa Road 11 (Moodie Drive)
 * Highway 416 (Veterans Memorial Highway)
 * Ottawa Road 23 (Cedarview Road)
 * Ottawa Road 13 (Greenbank Road)
 * Ottawa Road 15 (Woodroffe Avenue)
 * Ottawa Road 17 (Merivale Road)
 * Ottawa Road 73 (Prince of Wales Drive, formerly Ontario Highway 16), extended to Prince of Wales between 1984 and 1987
 * Ottawa Road 19 (Riverside Drive)
 * Ottawa Road 79 (Airport Parkway)
 * Ottawa Road 31 (Bank Street, formerly Ontario Highway 31)
 * Albion Road
 * Ottawa Road 125 (Conroy Road)
 * Ottawa Road 32 (Hawthorne Road)
 * Highway 417

Communities

 * Uplands
 * South Keys
 * Greenboro

license: Creative Commons - Attribution Share-Alike - https://creativecommons.org/licenses/by-sa/4.0/

title: Hunt Club Road


text:
Compositional data

In statistics, compositional data are quantitative descriptions of the parts of some whole, conveying relative information. Mathematically, compositional data is represented by points on a simplex. Measurements involving probabilities, proportions, percentages, and ppm can all be thought of as compositional data.

Ternary plot
Compositional data in three variables can be plotted via ternary plots. The use of a barycentric plot on three variables graphically depicts the ratios of the three variables as positions in an equilateral triangle.

Simplicial sample space
In general, John Aitchison defined compositional data to be proportions of some whole in 1982. In particular, a compositional data point (or composition for short) can be represented by a real vector with positive components. The sample space of compositional data is a simplex:
 * $$ \mathcal{S}^D=\left\{\mathbf{x}=[x_1,x_2,\dots,x_D]\in\mathbb{R}^D \,\left|\, x_i>0,i=1,2,\dots,D; \sum_{i=1}^D x_i=\kappa \right. \right\}. \ $$

The only information is given by the ratios between components, so the information of a composition is preserved under multiplication by any positive constant. Therefore, the sample space of compositional data can always be assumed to be a standard simplex, i.e. $$\kappa = 1$$. In this context, normalization to the standard simplex is called closure and is denoted by $$\scriptstyle\mathcal{C}[\,\cdot\,]$$:

 * $$\mathcal{C}[x_1,x_2,\dots,x_D]=\left[\frac{x_1}{\sum_{i=1}^D x_i},\frac{x_2}{\sum_{i=1}^D x_i}, \dots,\frac{x_D}{\sum_{i=1}^D x_i}\right],\ $$

where D is the number of parts (components) and $$ [\cdot]$$ denotes a row vector.

Aitchison geometry
The simplex can be given the structure of a vector space in several different ways. The following vector space structure is called Aitchison geometry or the Aitchison simplex and has the following operations:

 * Perturbation (vector addition)

 * $$ x \oplus y = \left[\frac{x_1 y_1}{\sum_{i=1}^D x_i y_i},\frac{x_2 y_2}{\sum_{i=1}^D x_i y_i}, \dots, \frac{x_D y_D}{\sum_{i=1}^D x_i y_i}\right] = C[x_1 y_1, \ldots, x_D y_D] \qquad \forall x, y \in S^D

$$

 * Powering (scalar multiplication)

 * $$ \alpha \odot x = \left[\frac{x_1^\alpha}{\sum_{i=1}^D x_i^\alpha},\frac{x_2^\alpha}{\sum_{i=1}^D x_i^\alpha}, \ldots,\frac{x_D^\alpha}{\sum_{i=1}^D x_i^\alpha} \right] = C[x_1^\alpha, \ldots, x_D^\alpha] \qquad \forall x \in S^D, \; \alpha \in \mathbb{R}

$$

 * Inner product

 * $$ \langle x, y \rangle = \frac{1}{2D}

\sum_{i=1}^D \sum_{j=1}^D \log \frac{x_i}{x_j} \log \frac{y_i}{y_j} \qquad \forall x, y \in S^D$$

Under these operations alone, it is sufficient to show that the Aitchison simplex forms a $$(D-1)$$-dimensional Euclidean inner product space. The uniform composition $$\left[\frac{1}{D}, \dots, \frac{1}{D}\right]$$ is the zero vector.

Orthonormal bases
Since the Aitchison simplex forms a finite dimensional Hilbert space, it is possible to construct orthonormal bases in the simplex. Every composition $$x$$ can be decomposed as follows

 * $$ x = \bigoplus_{i=1}^D x_i^* \odot e_i $$

where $$e_1, \ldots, e_{D-1} $$ forms an orthonormal basis in the simplex. The values $$x_i^*, i=1,2,\ldots,D-1$$ are the (orthonormal and Cartesian) coordinates of $$x$$ with respect to the given basis. They are called isometric log-ratio coordinates $$(\operatorname{ilr})$$.

Linear transformations
There are three well-characterized isomorphisms that transform from the Aitchison simplex to real space. All of these transforms satisfy linearity and as given below

Additive log ratio transform
The additive log ratio (alr) transform is an isomorphism where $$\operatorname{alr}: S^D \rightarrow \mathbb{R}^{D-1} $$. This is given by

 * $$ \operatorname{alr}(x) = \left[ \log \frac{x_1}{x_D} \cdots \log \frac{x_{D-1}}{x_D} \right] $$

The choice of denominator component is arbitrary, and could be any specified component. This transform is commonly used in chemistry with measurements such as pH. In addition, this is the transform most commonly used for multinomial logistic regression. The alr transform is not an isometry, meaning that distances on transformed values will not be equivalent to distances on the original compositions in the simplex.

Center log ratio transform
The center log ratio (clr) transform is both an isomorphism and an isometry where $$\operatorname{clr}: S^D \rightarrow U, \quad U \subset \mathbb{R}^D $$

 * $$ \operatorname{clr}(x) = \left[ \log \frac{x_1}{g(x)} \cdots \log \frac{x_D}{g(x)} \right] $$

Where $$ g(x) $$ is the geometric mean of $$ x $$. The inverse of this function is also known as the softmax function.

Isometric logratio transform
The isometric log ratio (ilr) transform is both an isomorphism and an isometry where $$\operatorname{ilr}: S^D \rightarrow \mathbb{R}^{D-1} $$

 * $$ \operatorname{ilr}(x) = \big[ \langle x, e_1 \rangle, \ldots, \langle x, e_{D-1} \rangle\big]

$$

There are multiple ways to construct orthonormal bases, including using the Gram–Schmidt orthogonalization or singular-value decomposition of clr transformed data. Another alternative is to construct log contrasts from a bifurcating tree. If we are given a bifurcating tree, we can construct a basis from the internal nodes in the tree.

Each vector in the basis would be determined as follows

 * $$ e_\ell = C[\exp( \,\underbrace{0,\ldots,0}_k, \underbrace{a,\ldots,a}_r,\underbrace{b,\ldots,b}_s,\underbrace{0,\ldots,0}_t \, )]

$$

The elements within each vector are given as follows

 * $$ a = \frac{\sqrt{s}}{\sqrt{r(r+s)}} \quad \text{and} \quad b = \frac{-\sqrt{r}}{\sqrt{s(r+s)}}

$$

where $$k, r, s, t$$ are the respective number of tips in the corresponding subtrees shown in the figure. It can be shown that the resulting basis is orthonormal

Once the basis $$\Psi$$ is built, the ilr transform can be calculated as follows

\operatorname{ilr}(x) = \operatorname{clr}(x) \Psi^T $$

where each element in the ilr transformed data is of the following form

 * $$ b_i = \sqrt{\frac{rs}{r+s}} \log \frac{g(x_R)}{g(x_S)} $$

where $$ x_R$$ and $$ x_S$$ are the set of values corresponding to the tips in the subtrees $$ R$$ and $$ S$$

Examples

 * In chemistry, compositions can be expressed as molar concentrations of each component. As the sum of all concentrations is not determined, the whole composition of D parts is needed and thus expressed as a vector of D molar concentrations. These compositions can be translated into weight per cent multiplying each component by the appropriated constant.
 * In demography, a town may be a compositional data point in a sample of towns; a town in which 35% of the people are Christians, 55% are Muslims, 6% are Jews, and the remaining 4% are others would correspond to the quadruple [0.35, 0.55, 0.06, 0.04]. A data set would correspond to a list of towns.
 * In geology, a rock composed of different minerals may be a compositional data point in a sample of rocks; a rock of which 10% is the first mineral, 30% is the second, and the remaining 60% is the third would correspond to the triple [0.1, 0.3, 0.6]. A data set would contain one such triple for each rock in a sample of rocks.
 * In high throughput sequencing, data obtained are typically transformed to relative abundances, rendering them compositional.
 * In probability and statistics, a partition of the sampling space into disjoint events is described by the probabilities assigned to such events. The vector of D probabilities can be considered as a composition of D parts. As they add to one, one probability can be suppressed and the composition is completely determined.
 * In chemometrics, for the classification of petroleum oils.
 * In a survey, the proportions of people positively answering some different items can be expressed as percentages. As the total amount is identified as 100, the compositional vector of D components can be defined using only D − 1 components, assuming that the remaining component is the percentage needed for the whole vector to add to 100.

title: Compositional data


text:
Airport Parkway (Ottawa)

Airport Parkway (Ottawa Route 79) is an expressway in Ottawa, Ontario, Canada. It runs from the Ottawa Macdonald–Cartier International Airport to an interchange with Heron Road where it turns into Bronson Avenue.

Route description
Airport Parkway is a two-lane expressway for most of its length, and is home to one of Ontario's only two single-point urban interchanges at its Hunt Club Road exit. The speed limit is 80 km/h for its entire length.

The Airport Parkway begins after leaving the airport, where it immediately interchanges with Lester Road. The Parkway turns northwards and traverses through some forest before encountering Hunt Club Road, which it interchanges it with an SPUI, one of only a handful in Canada. After that, the Parkway passes under a pedestrian overpass and runs parallel to the Transitway. The Parkway then meets Walkley Road with a partial interchange. After that, it is flanked by residential neighbourhoods before interchanging with Brookfield Road, and the Parkway ends shortly after as it interchanges with Heron Road. The Parkway continues as Bronson Avenue and loses its expressway status.

History
Until 1997, Airport Parkway was maintained by the federal government of Canada under the jurisdiction of the National Capital Commission.

Juno Beach Memorial Bridge
The Juno Beach Memorial Bridge is a footbridge spanning the Airport Parkway just north of Hunt Club Road. It is an important link connecting communities west of the Parkway to the South Keys Shopping Centre and the South Keys bus station. Construction of the Juno Beach Memorial Bridge began in June 2011. After multiple delays due to material and design flaws, the bridge opened 3 years behind schedule and $5.5 million over budget in November 2014. It was officially named in November 2019.

Future
The road has had 300 collisions and three fatalities since 2000, making it the focus of future improvements. There has been some discussing in twinning it to a four-lane expressway or freeway, although those discussions have stalled due to local controversy.

Exit list
The following is a list of exits along Airport Parkway. Some exits on Bronson Avenue are also included.

title: Airport Parkway (Ottawa)


text:
Sheboygan

Sheboygan may refer to:

Places in Wisconsin

 * Sheboygan, Wisconsin, city
 * Sheboygan (town), Wisconsin, town
 * Sheboygan County, Wisconsin, county
 * Sheboygan Falls, Wisconsin, city
 * Sheboygan Falls (town), Wisconsin, town
 * Sheboygan River

title: Sheboygan