How can I improve my jumping ability through natural methods?

Answer 1

squats
sprinting
plyometrics
stretching

* that's all you need and to practice the actual jumping exercise that is the focus of training

Answer 2

Yes. Look into an exercise type called plyometrics. Plyometrics are specifically geared toward sport-specific goals such as the vertical jump.

You can also try strengthening the legs through squats, leg presses and stiff legged deadlifts, just to name a few.

Answer 3

Work on your calf muscles. Strong calf muscles will make your jump higher.