I am a mad scientist with an intelligence matching Albert Einstein and Steven Hawking, and plan to create a new species of animal. After watching Napeoleon Dynanite, widely considered by critics to be the greatest movie ever made in the 21st century, i have decided to put my plan into action. To accomplish this, I have decided to crossbreed lions and tigers to make hybrids. The resulting creatures are tigons or ligers, which are only found in zoos due to their close proximity. My plan is to introduce these types into the wild naturally.
Animals are not sapient, and the idea that they deserve rights is completely absurd. After ignoring the protests of useless and irrelevant organizations such as PETA, I have removed a large sample of lions and tigers and introduced them into a country away from civilization where they are the dominant species. This country would be hidden from the rest of the world by being shrunken down. Over time, as various specimens shag each other, more of these hybrids will be born. Overtime, as enough ligers or tigons are produced in the wild naturally, there would be enough to be considered a new species and possess the best combination of both animals.
How can I design circumstances to guarantee that this would happen naturally?