In humans, studies have found that married men have lower levels of the hormone testosterone, while new fathers exhibit higher levels of prolactin. Both of these conditions positively influence a father’s parenting skills by increasing his sympathy and motivation to help his offspring.
Forward thinking. You simply have to be one step ahead of your children. Children are astoundingly intelligent and inventive not only in finding new ways to create mischief but especially in finding brilliant novel excuses for doing the same naughty thing for the third time in the same afternoon! An excellent illustration of this is Terry Pratchett's description of a school teacher explaining the stationary cupboard rules to a 'special' student.
Susan soon learned that "No one is to open the door of the Stationary Cupboard" was a prohibition that a seven-year-old simply would not understand. You had to think and rephrase it in more immediate terms, like, "No one, Jason, no matter what, no, not even if they thought they heard someone shouting for help, no-one - are you paying attention, Jason? - is to open the door of the Stationary Cupboard, or accidentally fall on the door handle so that it opens, or threaten to steal Richenda's teddy bear unless she opens the door of the Stationary Cupboard, or be standing nearby when a mysterious wind comes out of nowhere and blows the door open all by itself, honestly, it really did, or or in any way open, cause to open, ask anyone else to open, jump up and down on the loose floorboard to open or in any other way seek to obtain entry to the Stationary Cupboard, are you listening Jason?"Excellent memory. You absolutely have to remember not only what you gave to each child yesterday, what you promised about today but also the very age you allowed each of your children to access said privilege/treat so it can be administered at the respective date in each of the subsequent children's lives OR you face a grueling family court-marshal for injustices to humanity. Do not be fooled by the illusion of informality in these court-marshals, especially avoid making quick concessions to get them off your back. All decisions are binding for life. Binding on you that is, the kids will forget their obligations within minutes.
General Knowledge. While most professionals and tradesmen are hired for their expertise and/or skill in a particular area, Dads are expected to possess an encyclopedic knowledge of any topic the school teacher has set for an assignment. (Here I bow to the genius of homeschoolers who, being both teacher and parent, will never be subject to those surprise after school interrogations)
Investigative cunning. A father has to be able to out-think the most cunning criminal minds. No, not the serial killer on that TV show, the culprit who is hiding among the seven children who just noticed that you popped a delicious chocolate treat for you wife into the shopping trolley. The chances of that treat making it through the gauntlet of purchase, packing, travel and unpacking to be delivered to your grateful bride are approximately the same as the odds of a zebra winning the next Melbourne Cup. not only is it likely that the treat will go missing, it is likely that, unless you are on your guard, you may be duped into thinking that no crime had actually ever been committed! "I think I saw the baby toss that out of the trolley in the last aisle!"
There are more for this list but I am afraid I am needed to play hostage negotiator in a tense situation involving someone's favourite teddy and a mud pie.