Sorry, but I couldn't resist it, despite being a noob.
To think that only the drive to make large families made the diaspora so large is wrong.
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The Philippines actually has light industry and basic infrastructure, and the considered model, if rebellious colony, since [insert scenario here] caused a wave of reforms across the colony, including the land reform. This increased wealth across the isles, and made the people confident in their investments. One could now easily educate their children, or afford other luxuries, and more people now had access to healthcare, with the help of Señor Rizal and his lifelong work which culminated in the United Doctors of the Philippines.
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With the advent of the reactionary government in Madrid at 189x, [insert bad governor-general] [insert bad policies].
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[insert bloodier Philippine Revolution]
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The poverty caused by the war made them go to otger countries. Those who emigrated to countries in the Americas were used as coollie labourers, while the richer ones resided in the rich cities of Europe. They do bring one, often stereotyped, tradition from Philippines: having large families.