Question: What family of trees is the tree that grows in Alerce Costero National Park?

Context paragraphs:
Playa cativo: Playa Cativo is located in the Golfo Dulce, in Costa Ricas' south Pacific.  Its name, Cativo, comes from a tree: Prioria Copaifera.  The surrounding waters are part of the Piedras Blancas National Park to protect the needle-fish spawning grounds.  A former extension of Corcovado National Park, Piedras Blancas National Park has over 35,000 acres of rainforest that surrounds Playa Cativo and was created in 1993 to protect the lowland tropical rainforest in the Golfo Dulce.  Accessible only by boat, Playa Cativo was awarded the Ecologic Blue Flag for its cleanliness and sustainability practices.  Because of the variety of micro climates, including wetlands, and the fact that is a gathered point for birds from North and South America, this area is considered a bird watcher's paradise.  The four species of monkeys of Costa Rica has been seen there and about three families of hauler monkeys stay year round near the shore.  The beach was originally a family farm and in the early 70's was sold.  In 1980 was built the Rainbow Lodge in Playa Cativo, followed by the Buenavista Lodge.  In July 2014 Playa Cativo Lodge (former Rainbow Lodge) opened after a full renovation.  Playa Cativo's residents are committed to preserve the area as untouched as possible, and have established many sustainable practices and was recently awarded the Ecologic Blue Flag by the Costa Rica government.  Among other actions, was created a recycle hub center as a free service for the people from the nearby beaches and communities.  The electric power at Cativo is 100% clean and comes from an hydroelectric micro-generator and solar panels.  The water source comes from a spring in the mountains behind Cativo beach and is clean and clear.  Some of the all fruit trees still in the property, providing fresh organic fruits to visitors.  Its tranquil waters are perfect for sea kayaking, stand up paddle boarding, swimming and snorkeling.  As there are no roads to Playa Cativo, a 30 minutes scenic boat ride will take residents to Golfito or Puerto Jimenez, and often are seen dolphins and the seasonal humpback whales.  Golfo Dulce, also known as Gulf of Dulce, is in the inner side of Osa Peninsula and across from Corcovado National Park.

Hueicolla: Hueicolla is a beach and hamlet (Spanish: "caserío" ) at the sparsely populated coast of La Unión commune, southern Chile.  Hueicolla is located south of Colún Beach, west of Alerce Costero National Park and Cordillera Pelada and north of the mouth of Bueno River.

Lincoln (tree): The Lincoln Tree is the name of a huge giant sequoia located in Giant Forest in Sequoia National Park.  It is currently considered by many to be the fourth largest tree in the world.  Wendell Flint, in his book "To Find The Biggest Tree", Sequoia Natural History Association (2002) stated that the Lincoln Tree has a volume of 44471 cuft .  However, White and Pusateri, in "Sequoia and Kings Canyon National Parks", Stanford University Press (1949) indicated that the volume of the Lincoln Tree based on measurements made in the 1930s is 51000 cuft , which would make the Lincoln Tree the second largest tree in the world, after the General Sherman Tree.  Wendell Flint was somewhat critical of the earlier measurements and he stated that he thought that it was appropriate to exclude a portion of the irregular base of the tree from his volume calculations, which in addition to some extrapolation differences from the earlier measurements, explains the smaller volume of 44471 cuft that he obtained compared to the earlier figure.  Although he chose to exclude it, Flint stated that the excluded portion of the base could just as easily be included in the calculations, presumably leading to the alternative volume of 51000 cuft The Lincoln Tree has a maximum base diameter of 36.4 feet.  Nearby trees include the President Tree, the Washington Tree, the Adams Tree, and the Franklin Tree.  All of these trees are of great size, although the Washington Tree lost the hollow upper half of its trunk in 2005 after a fire.

Pterocarpus erinaceus: The tree Pterocarpus erinaceus is native to Sahelian region of West Africa and is used for fuel wood, for medicinal purposes, as a woodworking material, and that is useful as a nitrogen-fixing plant that helps to improve nutrient-depleted farming land.  It has several common names, including barwood, muninga, vène, and mukwa; is used for this species as well as other "Pterocarpus".  Groves of the tree can be found on the savannahs of West Africa, but it is becoming increasingly rare and is sometimes cultivated.  The tree also grows in forests of Comoé National Park in Côte d'Ivoire, a region geographically close to the Sahel but with a higher moisture regime due to its location between two large rivers.  The tree grows to about 11 meters in height on average, and bears dark, scaly bark and yellow flowers.  The fruits are winged pods.  "P. erinaceus" grows well on sunny, hot African plains with long dry seasons and frequent fires.

General Grant Grove: General Grant Grove, a section of the greater Kings Canyon National Park, was established by the US Congress in 1890 and is located in Fresno County, California.  The primary attraction of General Grant Grove is the giant sequoia trees that populate the grove.  General Grant Grove's most well-known tree is the General Grant Tree, which is 267 feet tall and the third largest known tree in the world.  The General Grant Tree is over 1,500 years old and is known as the United States's national Christmas Tree.  General Grant Grove consists of 154 acres and is geographically isolated from the rest of Kings Canyon National Park.

Reloncaví Estuary: Reloncaví Estuary (Spanish: Esturario de Reloncaví, archaic: Sin Fondo) is a fjord off Reloncaví Sound, located in the Los Lagos Region of Chile.  Several National Parks and Wilderness Areas are situated in the vicinity of this fjord.  Among them are: Alerce Andino National Park, Hornopirén National Park, Vicente Pérez Rosales National Park, Llanquihue National Reserve and the Cochamó Valley.  The Yate Volcano towers above this fjord.  The Puelo River empties into this estuary.  It also receives the outflow of the Todos los Santos Lake through the short tortuous Petrohué River.

Fitzroya: Fitzroya is a monotypic genus in the cypress family.  The single living species, Fitzroya cupressoides, is a tall, long-lived conifer native to the Andes mountains of southern Chile and Argentina, where it is an important member of the Valdivian temperate rain forests. Common names include alerce ("larch" in Spanish), lahuán (Spanish, from the Mapuche Native American name "lawal"), and Patagonian cypress.  The genus was named in honour of Robert FitzRoy.

Eucalyptus michaeliana: Eucalyptus michaeliana, commonly known as Hillgrove spotted gum, is a tree that grows to about 30 metres high and has a distinctive mottled, greenish trunk with peeling yellow-brown bark (like jigsaw puzzle pieces).  These trees may be seen growing along the Long Point Road south of Hillgrove.  This rare tree is restricted to Mount Barney National Park in Queensland and in New South Wales to around Wyong, areas east of Armidale and The Big Lease, Oxley Wild Rivers National Park where the unusually formed tree that is pictured was growing.

Alerce Costero National Park: Alerce Costero National Park (Spanish: "Parque Nacional Alerce Costero" , ] ) is a protected wild area in the Cordillera Pelada about 137 km from Valdivia and 49 km from La Unión.  Fitzroya trees grow inside the protected area and give the area its name, with "Alerce Costero" translating as "Coastal Fitzroya".  The Natural Monument has a total area of 24,000 ha.

Los Alerces National Park: The Los Alerces National Park (Spanish: "Parque Nacional Los Alerces" ) is a national park in Chubut Province, Argentina, some 30 miles (50 km) from Esquel.  It is a park of 2,630 square kilometres along the border with Chile, best known for the alerce (lahuán) trees ("Fitzroya cupressoides") from which the park takes its name.

Supporting paragraphs: Alerce Costero National Park Fitzroya
Answer: the cypress family