in Quebec civil law), if the mother is married to another man, the latter will be defined as the father
Presumed father – Where a presumption of paternity has determined that a man is a childs father regardless of if he actually is or is not the biological father
Social father – where a man takes de facto responsibility for a child, such as caring for one who has been abandoned or orphaned (the child is known as a "child of the family" in English law)
Stepfather – a married non-biological father where the child is from a previous relationship

Fatherhood defined by contact level
Absent father – father who cannot or will not spend time with his child(ren)
Second father – a non-parent whose contact and support is robust enough that near parental bond occurs (often used for older male siblings who significantly aid in raising a child, sometimes for older men who took care of younger friends who have no families)
Stay-at-home dad – the male equivalent of a housewife with child, where his spouse is breadwinner
Weekend/holiday father – where child(ren) only stay(s) with father on weekends, holidays, etc. Non-human fatherhood
For some animals, it is the fathers who take care of the young. Darwins frog (Rhinoderma darwini) fathers carry eggs in the vocal pouch. Most male waterfowl are very protective in raising their offspring, sharing scout duties with the female. Examples are the geese, swans, gulls, loons, and a few species of ducks.
History of fatherhood
Many male animals do not participate in the rearing of their young. The development of human men as creatures which are involved in their offsprings upbringing took place during the stone age.In medieval and most of modern European history, caring for children was predominantly the domain of mothers, whereas fathers in many societies provide for the family as a whole. Since the 1950s, social scientists and feminists have increasingly challenged gender roles in Western countries, including that of the male breadwinner. Policies are increasingly targeting fatherhood as a tool of changing gender relations. Research from various societies suggest that since the middle of the 20th century fathers have become increasingly involved in the care of their children. Patricide
In early human history there have been notable instances of patricide. For example:

Tukulti-Ninurta I (r. 1243–1207 B.C.E. ), Assyrian king, was killed by his own son after sacking Babylon. Sennacherib (r. 704–681 B.C.E. ), Assyrian king, was killed by two of his sons for his desecration of Babylon. King Kassapa I (473 to 495 CE) creator of the Sigiriya citadel of ancient Sri Lanka killed his father king Dhatusena for the throne. Emperor Yang of Sui in Chinese history allegedly killed his father, Emperor Wen of Sui. Beatrice Cenci, Italian noblewoman who, according to legend, killed her father after he imprisoned and raped her. She was condemned and beheaded for the crime along with her brother and her stepmother in 1599.