Except that poodles can breed with dalmations.
But poodles don't give birth to dalmatians, and dalmatians don't give birth to poodles. Besides, maybe that was a bad example. Right now, I'm too lazy to look it up, but there are some dog "kinds" that can't reproduce with each other, which then would fulfill your requirement. I'm trying to challenge and show that "kind" is a totally useless word to use for creating categories.
There are two
kinds of life: cellular and non-cellular.
There are two kinds of cells: eukaryotes and prokaryotes.
There are four kinds of eukarya: protista, fungi, plantae, animalia. (except for the exceptions that overlap between them)
And so on... all categories based on physical differences, not how they can interchange genes. And many exceptions that cross-over between the "kinds".
I have two kinds of pants: trashy and clean.
I have three kinds of pants: short, long jeans, long slacks.
I have four kinds of pants: blue, brown, black, and beige.
I have five kinds of pants: ...
In essence, "kind" used in any category of items that we're trying to separate, only means loosely "this or that category based on our subjective differentiation."
So by the same token, dalmatians and poodles are different kinds. Different kinds of dogs, and different kinds of animals.
Dogs and cats are the same kind of animals: four legged, sharp teeth, ... Using properties that they share, we can group them together and have "kind" of animal. The Bible doesn't explain which system of "kind" it's referring to.