1891 Olof Andersson is registered on page 1195 called Särskild förteckning enl. Kungl. förordning - my understanding is a page for people who has "disappeared".
1903 jan 29 we have a Erik Rosen moving to New York together with a brother Olof Rosen who already is living in North America a guess is that Erik Rosen is Olof brothers son who has had a "tough" time with divorcing his wife, making another women pregnant and get 2 children that he is not taking responsibility for....
1903 jul 15 Kristina divorced Olof. Olof is said to live in America
skiljebrev utfärdat af Uppsala domkapitel d 15/7 1903 mellan målaren Olof Rosen och hans hustru Kristina pga Södra Hälsingalnds östra tingslag laga krafternas? utslag af den 30 dec 1902 i anseende till egenvilligt övergifvande från mannens sida. Mannen Olof Rosen lär vistas i Amerika
Picture from Arkiv Digital of Norrala AIIa:2 (1900-1906) page 469 about the divorce
He has a wife from Sweden and a daughter born in Sweden 19 years old ==> born 1891 with name Elin. We have this Rosen on page Fässberg AI:35 (1888-1895) Image 246 / page 525 (AID: v5444.b246.s525, NAD: SE/GLA/13147)
And in the polis records we have them direction Boston Göteborgs poliskammare (-1900) EIX:46 (1891-1891) Image 1260 / page 249 (AID: v479770.b1260.s249, NAD: SE/GLA/12703)
It may be possible to confirm family relationships with Olof by comparing test results with other carriers of his Y-chromosome or his mother's mitochondrial DNA.
However, there are no known yDNA or mtDNA test-takers in his direct paternal or maternal line.
It is likely that these autosomal DNA test-takers will share DNA with Olof: