PREFIX core: <http://vivoweb.org/ontology/core#>
PREFIX rdfs: <http://www.w3.org/2000/01/rdf-schema#>

CONSTRUCT {
     ?organization core:hasSubOrganization ?subOrganization .
     ?subOrganization rdfs:label ?label .
} WHERE {
     PERSON_URI core:personInPosition ?position . 
     ?position core:positionInOrganization ?organization .
     ?organization core:hasSubOrganization ?subOrganization .
     ?subOrganization rdfs:label ?label .
}