Question: Are the genus Elodea and Pinellia native to the same areas of the world ?

full_context: Document 1: Echinodorus grisebachii: Echinodorus grisebachii or Echinodorus amazonicus is commonly known as Amazon sword plant, although other plants are also known under this common name. The aquatic plant is cultivated for and used in ponds and artificial aquatic habitats. It is native to Cuba, Central America, and South America as far south as Brazil and Bolivia.
Document 2: Pinellia: Pinellia is a genus of plants in the family Araceae native to East Asia (China, Korea, Japan). Its species are commonly called green dragons due to the color and shape of the inflorescence, which possesses a green, hooded spathe from which protrudes a long, tongue-like extension of the spadix. The leaves vary greatly in shape among different species, from simple and cordate to compound with three to many leaflets. "Pinellia" reproduces rapidly from seed and many species also produce bulbils on the leaves. Both characteristics have allowed some species to become weedy in temperate areas outside their native range, notably "Pinellia ternata" in eastern North America.
Document 3: Elodea: Elodea is a genus of 6 species of aquatic plants often called the waterweeds described as a genus in 1803. "Elodea" is native to North and South America and is also widely used as aquarium vegetation. It lives in fresh water.
Document 4: Elodea nuttallii: Elodea nuttallii is a species of waterweed known by the common name western waterweed or Nuttall's waterweed. This is a perennial aquatic plant which is native to North America where it grows submersed in lakes, rivers, and other shallow water bodies. It is also found in Eurasia, where it is commonly weedy; it is not known as a weed species in its native range. It is sometimes used as an aquarium plant.
Document 5: Pontederia cordata: Pontederia cordata, common name pickerelweed (USA) or pickerel weed (UK), is a monocotyledonous aquatic plant native to the American continent. It grows in a variety of wetlands, including pond and lake margins across an extremely large range from eastern Canada south to Argentina. A few examples include northern rivers, the Everglades and Louisiana.
Document 6: Colocasia: Colocasia is a genus of flowering plants in the family Araceae, native to southeastern Asia and the Indian subcontinent. Some species are widely cultivated and naturalized in other tropical and subtropical regions. Common names include tarul, karkala ko ganu, elephant-ear, taro, cocoyam, dasheen, chembu, champadhumpa, shavige gadde, and eddoe. Elephant-ear and cocoyam are also used for some other large-leaved genera in the Araceae, notably "Xanthosoma" and "Caladium". The generic name is derived from the ancient Greek word "kolokasion", which in the Greek botanist Dioscorides (1st century AD) meant the edible roots of both "Colocasia esculenta" and "Nelumbo nucifera". It is thought that the edible roots of "Colocasia esculenta" have been cultivated in Asia for more than ten thousand years. The species "Colocasia esculenta" is an invasive species in wetlands along the American Gulf coast, where it threatens to displace native wetland plants.
Document 7: Spathiphyllum: Spathiphyllum is a genus of about 40 species of monocotyledonous flowering plants in the family Araceae, native to tropical regions of the Americas and southeastern Asia. Certain species of "Spathiphyllum" are commonly known as Spath or peace lilies.
Document 8: Egeria (plant): Egeria is a genus of three species of aquatic plants in the family Hydrocharitaceae described as a genus in 1849. native to warm-temperate South America.
Document 9: Caulophyllum: Caulophyllum is a small genus of perennial herbs in the family Berberidaceae. It is native to eastern Asia and eastern North America. These plants are distinctive spring wildflowers, which grow in moist, rich woodland, it is known for its large triple-compound leaf, and large blue, berry-like fruits. Unlike many spring wildflowers, it is not an ephemeral plant and persists throughout much of the summer. Common names for plants in this genus include Blue Cohosh, Squaw Root, and Papoose Root. As hinted at by its common names, this plant is well known as an alternative medicine for inducing childbirth and menstrual flow; it is also considered a poisonous plant.
Document 10: Aglaonema: Aglaonema is a genus of flowering plants in the arum family, Araceae. They are native to tropical and subtropical regions of Asia and New Guinea. They are known commonly as Chinese evergreens.
Document 11: Elatostema: Elatostema is a genus of flowering plants containing approximately 350 known species in the nettle family Urticaceae, native to tropical forest clearings throughout Australasia, Asia and Africa. There may be as many as 1,000 species of this little-known genus, which is susceptible to deforestation and other forms of human exploitation. Some species, for instance the recently discovered "E. fengshanense", show unusual adaptations to growing in deep shade in caves. DNA analysis suggests that the three genera "Elastostema", "Pellionia", and "Pilea" be grouped together as one.
Document 12: Tetrapanax: Tetrapanax papyrifer (rice-paper plant, or "通草—tong cao") is an evergreen shrub in the family Araliaceae, the sole species in the genus Tetrapanax. The specific epithet is frequently misspelled as "papyriferum", "papyriferus", or "papyrifera". It is endemic to Taiwan, but widely cultivated in East Asia and sometimes in other tropical regions as well. The species was once included in the genus "Fatsia" as "Fatsia papyrifera".
Document 13: Pontederia: Pontederia is a genus of tristylous aquatic plants, members of which are commonly known as pickerel weeds. "Pontederia" is endemic to the Americas, distributed from Canada to Argentina, where it is found in shallow water or on mud. The genus was named by Linnaeus in honour of the Italian botanist Giulio Pontedera.
Document 14: Egeria densa: Egeria densa, the large-flowered waterweed or Brazilian waterweed, is a species of "Egeria" native to warm temperate South America in southeastern Brazil, Argentina, and Uruguay. It is considered a problematic invasive species due to its use in home aquariums and subsequent release into non-native habitats.
Document 15: Paulownia: Paulownia is a genus of six to 17 species (depending on taxonomic authority) of flowering plants in the family Paulowniaceae, related to and sometimes included in the Scrophulariaceae. They are present in much of China, south to northern Laos and Vietnam and are long cultivated elsewhere in eastern Asia, notably in Japan and Korea. They are deciduous trees 12 – tall, with large, heart-shaped leaves 15–40 cm across, arranged in opposite pairs on the stem. The flowers are produced in early spring on panicles 10–30 cm long, with a tubular purple corolla resembling a foxglove flower. The fruit is a dry capsule, containing thousands of minute seeds.
ground_truth: no