Question: Are the Australian Shepherd and the Schipperke both small breeds of dog?

Context articles: The Puppy Sister
Pekapoo
Australian Cattle Dog
Brazilian Terrier
Necrotizing meningoencephalitis
Toy dog
Schipperke
Cumberland Sheepdog
Australian Shepherd
Texas Heeler

The Puppy Sister is a short juvenile novel written by S. E. Hinton and published in 1995.
 The story revolves around Aleasha, a tricolor Australian Shepherd puppy who realises that the only way to really feel like a member of her new family is to become human.
 Aleasha begins a gradual, physical transformation from puppy to human child, trying to get used to both her new outward appearance as well as the struggle to actually feel more human.
 The story is based on her dog (Aleasha) and son's (Nick) relationship.
Peekapoos are a cross breed between a Pekingese and a poodle.
 Like the parent breeds, Peekapoos can be friendly, affectionate dogs.
 Like poodles, they can be easy to train, and like other small breeds can live 12 to 15 years or older.
 Legitimate breed associations such as the AKC, the UKC, and the CKC, do not recognize the Peekapoo, or any other designer cross, as a breed.
The Australian Cattle Dog (ACD), or simply Cattle Dog, is a breed of herding dog originally developed in Australia for droving cattle over long distances across rough terrain.
 This breed is a medium-sized, short-coated dog that occurs in two main colour forms.
 It has either brown or black hair distributed fairly evenly through a white coat, which gives the appearance of a "red" or "blue" dog.
 It should not be confused with the Australian Shepherd, a similarly named but totally different breed.
The Brazilian Terrier, is a breed of dog developed in Brazil.
 It is one of several terriers probably descended from the combining of the Fox Terrier with other small breeds.
Necrotizing meningoencephalitis (NME) is an inflammatory disease of the central nervous system (CNS) that occurs in young, small breed dogs. Necrotizing meningoencephalitis has been described in numerous small breeds, including the Pug, Maltese and Chihuahua.
Toy dog traditionally refers to a very small dog or a grouping of small and very small breeds of dog.
 A toy dog may be of any of various dog types. Types of dogs referred to as toy dogs may include Spaniels, Pinschers and Terriers that have been bred down in size.
 Not all toy dogs are lapdogs, although that is an important and ancient type of toy dog.
 The very smallest toy dogs are sometimes called "teacup" size, although no major dog registry recognizes that term.
A Schipperke ( ; ] ) is a small Belgian breed of dog that originated in the early 16th century.
 There has been a long informal debate over whether this type of dog is a spitz or miniature sheepdog.
 In their home country of Belgium they are considered a small shepherd.
The Cumberland sheepdog is an extinct dog breed related to the border collie and other old working collie types.
 It is claimed to be one of the ancestors of the Australian shepherd and in the early part of the 20th century some Cumberland sheepdogs were being referred to as border collies and may have been absorbed into the latter breed.
The Australian Shepherd, often known simply as the "Aussie", is a medium-sized breed of dog that was, despite its name, developed on ranches in the Western United States during the 19th century.
 The dog was developed from a breed or breeds from the Basque country in Western Europe.
 It was brought by Basque people to the United States, these people had previously lived only briefly in Australia before moving to America.
 The dog otherwise has no connection to Australia.
The Texas Heeler is a crossbred herding dog found mainly in Texas.
 They are a cross between the Australian Cattle Dog, and the Australian Shepherd, but can be a cross between the ACD and the Border Collie.
 They are bred mainly for their ability to work cattle.
 Found mainly on ranches in the past, they are currently being enjoyed in dog sports such as agility, frisbee and Rally Obedience.