The Warre hive is the hive of choice for most beekeepers using bee friendly hive management although some use horizontal top bar hives or the more commercial Langstroth hive adapted to natural beekeeping practices. The Warre Hive was designed by Emile Warre (France in 18th century) and he called it The Peoples Hive.
The following is from the final chapter of Beekeeping for All, by Emile Warré.
The People's Hive does not turn stones into honey, nor will it give you honey without some work. But the People's Hive saves you a lot of time and several kilograms of honey each winter. In a word, the People's Hive is practical. It will bring happiness to you and your dear bees, for, in using the People's Hive, you will certainly provide the most pleasant and logical home for them.
The Warré hive was invented by Abbé Émil Warré, and is also called "ruche populaire" (fr) or "The People's Hive" (en), the Warré hive is a modular and storied design similar to a Langstroth hive. The hive body is made of boxes stacked vertically; however, it uses Top Bars for comb support instead of full frames, as a general rule. The popularity of this hive is growing among sustainable-practice beekeepers.
The Warre hive differs from other stacked hive systems in one fundamental aspect: when the bees need more space as the colony expands, the new box is "nadired". i.e. positioned underneath the existing box(es). This serves the purpose of warmth retention within the brood nest of the hive, considered vital to colony health. The 1948 book "Beekeeping for All" by Abbé Warré has been translated from French in 2010 by Dr. David and Patricia Heaf and is available as a free download at: http://www.users.callnetuk.com/~heaf/beekeeping_for_all.pdf.
More information on the Abbé and the hive is available at: http://warre.biobees.com/bfa.htm
Building bottom board to trap SHB and mites – Langstroth (modify measurements for warre hives)