Question: Kai Ken and Pembroke Welsh Corgi, are a breed of what?

Context articles: Pembroke Welsh Corgi
Cardigan Welsh Corgi
Dookie (dog)
Canine degenerative myelopathy
Turnspit dog
Kai Ken
Kishu
Welsh Corgi
Ryukyu Inu
Corgi International

The Pembroke Welsh Corgi ( ; Welsh for "dwarf dog") is a cattle herding dog breed which originated in Pembrokeshire, Wales.
 It is one of two breeds known as a Welsh Corgi.
 The other is the Cardigan Welsh Corgi, and both descend from the line that is the northern spitz-type dog (examples include that of the Siberian Husky).
 Another theory is that Pembrokes are descended from the Swedish Vallhunds, which were crossed with the local Welsh herding dogs.
 The Pembroke Welsh Corgi is the younger of the two Corgi breeds and is a separate and distinct breed from the Cardigan.
 The corgi is one of the smallest dogs in the Herding Group.
 Pembroke Welsh Corgis are famed for being the preferred breed of Queen Elizabeth II, who has owned more than 30 during her reign.
 These dogs have been favored by British royalty for more than seventy years, but among British Commoners, have recently fallen into decline in terms of popularity and demand.
The Cardigan Welsh Corgi is one of two separate dog breeds known as Welsh corgis that originated in Wales, predating the other breed, the Pembroke Welsh Corgi.
 It is one of the oldest breeds of the British Isles.
Dookie (1933-?)
 or Rozavel Golden Eagle was a Pembroke Welsh Corgi bought in 1933 by King George VI and was the first of many Welsh Corgis to join the Royal Family.
 The dog was especially popular with Queen Elizabeth II, who has since owned over thirty corgis.
Canine degenerative myelopathy, also known as chronic degenerative radiculomyelopathy, is an incurable, progressive disease of the canine spinal cord that is similar in many ways to amyotrophic lateral sclerosis (ALS).
 Onset is typically after the age of 7 years and it is seen most frequently in the German shepherd dog, Pembroke Welsh corgi, and boxer dog, though the disorder is strongly associated with a gene mutation in SOD1 that has been found in 43 breeds as of 2008, including the wire fox terrier, Chesapeake Bay retriever, Rhodesian ridgeback, and Cardigan Welsh corgi.
 Progressive weakness and incoordination of the rear limbs are often the first signs seen in affected dogs, with progression over time to complete paralysis.
 Myelin is an insulating sheath around neurons in the spinal cord.
 One proposed cause of degenerative myelopathy is that the immune system attacks this sheath, breaking it down.
 This results in a loss of communication between nerves in lower body of the animal and the brain.
The Turnspit dog was a short-legged, long-bodied dog bred to run on a wheel, called a turnspit or dog wheel, to turn meat.
 The type is now extinct.
 It is mentioned in "Of English Dogs" in 1576 under the name "Turnespete".
 William Bingley's "Memoirs of British Quadrupeds" (1809) also talks of a dog employed to help chefs and cooks.
 It is also known as the Kitchen Dog, the Cooking Dog, the Underdog and the "Vernepator".
 In Linnaeus's 18th century classification of dogs it is listed as "Canis vertigus".
 The breed was lost since it was considered to be such a lowly and common dog that no record was effectively kept of it.
 Some sources consider the Turnspit a kind of Glen of Imaal Terrier, others make it a relative of the Welsh Corgi.
The Kai Ken (甲斐犬 , also called the Tora Inu or Tiger Dog) is a breed of dog that hails from Japan where it is a natural monument and has been bred for centuries.
 It is a rare dog even in its native land and is one of the six native Japanese dog breeds protected by the Nihon Ken Hozonkai.
The Kishu (紀州犬 , Kishū-Inu ) , sometimes called "Kishu Ken" or "Kishu Inu", is a Japanese breed of dog, developed there for thousands of years.
 It is descended from ancient medium-sized breeds and named after the Kishu region, now Mie Prefecture and Wakayama Prefecture.
 This breed is similar to the Hokkaido, Shikoku and the Kai Ken.
 Sometimes it is mistaken for the white variant of Hokkaido because of very similar appearance.
 The Japanese originally used this breed of dog for boar and deer hunting.
 Like the Shiba, they are often quiet.
 Kishu will stalk prey quietly rather than bark.
The Welsh Corgi ( , Welsh for "dwarf dog"; plural "corgis" or occasionally the etymologically consistent "corgwn" ( )) is a small type of herding dog that originated in Wales.
 Two separate breeds are recognized: the Pembroke Welsh Corgi and the Cardigan Welsh Corgi.
 Historically, the Pembroke has been attributed to the influx of dogs alongside Flemish weavers from around the 10th century, while the Cardigan is attributed to the dogs brought with Norse settlers, in particular a common ancestor of the Swedish Vallhund.
 A certain degree of interbreeding between the two types has been suggested to explain the similarities between the two.
The Ryukyu Ken (琉球犬 lit.
 Ryuukyuu Dog) is a medium-sized breed of dog that originates from Okinawa, Japan.
 It is Okinawa's only pedigree dog breed.
 It is a rare dog and is slowly declining in numbers.
 There were as few as 400 Ryukyu Inu as of 2015.
 Unlike dogs such as the Kai Ken, the Ryukyu is not protected by the Nihon Ken Hozonkai.
Corgi International Limited "(formerly known as Zindart International Limited)" is a company rooted in the old Welsh Corgi Toys started in the late 1950s.
 That company was later acquired by Mattel around 1990, then made independent.
 Today, Corgi consists of three distinct brands that manufacture movie prop replicas, die-cast collectibles, and gift and toy products.
 Corgi International also distributes trading cards and movie memorabilia through a separate brand.