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How often do missionaries report encounters with demonic activity while deployed to countries belonging to the 10/40 Window?
Here follows a map displaying the nations in the 10/40 Window:
I rather doubt there is sufficient data to make an accurate response to establish how often do missionaries report encounters with demonic activity while deployed to countries belonging to the 10/40 Window? Some missionaries simply do not report such things. In general, I believe that such occurrences are not uncommon in this region. I have read enough missionary lives to believe it to be true.
This region of the world was previously known to Christians as the "resistant belt", By missionaries trying to make headway into these countries.
As I have already stated not all missionaries report publicly their encounters with the demonic. Many a catholic missionary will inform their superiors and/or bishop, while others are quite at ease about talking about it publicly. I imagine this is somewhat true in other denominations as well.
Certainly some countries are more affected by the demonic then others. Once again data is lacking in this domain.
The lives of missionary life that I have read about or have had personal contact indicate that among the countries more affected are Tibet (China), Nigeria, Bhutan and Burkina Faso.
Brazil, Peru and Haiti are technically not part of the nations in the 10/40 Window, but have greater levels of demonic activity than most countries.
The amount of native religions that invoke evil through their pagan beliefs and witchcraft are an open recipe for possible demonic possession.
Father Giovanni Salerno, the founder of The Servants of the Poor In Peru freely recounts how the Devil often hindered his missionary activities, especially in the higher and more remote villages.
Tibet has a phenomenal intense historical reputation for missionaries encounter the forces of evil amongst the native populations. The lives of the the German missionary Fr. Biet and his successor the Swiss Fr. Maurice Tornay bare this out.
Blessed Maurice Tornay was eventually martyr by four armed lamas that burst from the bush in the Tothong forest which prompted the priest to speak with them: "Don't shoot! Let's talk!" but two shots rang out and Doci was shot dead. More shots killed the priest on 11 August 1949. His remains were buried though transferred in 1985. He was beatified on 16 May 1993, after Pope John Paul II confirmed that the late priest had been killed "in odium fidei" ('in hatred of the faith').
Often Fr. Biet would instruct catechumens for the reception for the grace of baptism. Many became possessed by the Devil just prior to baptism. But once the saving waters of baptism touched the individual, the Devil left for good.
Fr. Évariste Régis Huc, C.M. and Fr. Joseph Gabet, C. M. Made the historic voyage through Mongolia and Tibet from 1844-1846. Fr. Huc accounts of this were recorded in his book Remembrances of a Journey in Tartary, Tibet, and China during the Years 1844, 1845, and 1846. It is an eye opener to how both good and evil exists in Tibet. Possession was not rare.
Vajrayana and Tibetan Buddhism
Vajrayana Buddhism is a smaller sect and is practiced in Nepal, Bhutan, Mongolia, Tibet, and Inner Mongolia. It focuses more on the demonic realm and occult-like texts, called tantras.
You may have heard of Tibetan Buddhism, which incorporates elements of the Vajrayana and Mahayana sects. Prayer habits in these sects can be more ritualistic and robust.
In Vajrayana Buddhism, some worshipers meditate on tantras or on mandalas—spiritual, circular, and geometric patterns—that they believe will lead to out-of-body experiences.
I could go on about other countries, but these suffice to get my point across.