Beaucarnea Recurvata or Ponytail Palm complete in Potz containerPlant information Beaucarnea recurvate or ponytail palm is a native of the Mexican deserts. A slow growing plant. Although called a ponytail palm its not of the palm family. Plant requirements. Likes warm light conditions. As this plant is a desert plant it does not like to be overwatered. In fact if you are a little forgetful then this could be the plant for you. Its swollen base actually stores water. Light requirements. Loves a sunny position.