You keep pointing to a test
Pedigree is more commonly used for animals but for arguments sake. You said bloodline/pedigree can only be determined by the male. Then you used an article/part of, that is specific to males and it, pointed to "inherited characteristics ".
Again..... you said, "bloodline/pedigree can only be determined by the male".
Variations in the Y chromosome can be used to explore ancestry in the direct male line. Only individuals with a Y chromosome (typically males) can have this type of testing done. However, people interested in this type of genetic testing sometimes recruit a relative to have the test done. Because the Y chromosome is passed on in the same pattern as are family names (surnames) in many cultures, Y chromosome testing is often used to investigate questions such as whether two families with the same surname are related.
This type of testing identifies genetic variations in mitochondrial DNA. Although most DNA is packaged in chromosomes within the cell nucleus, cell structures called
mitochondria
also have a small amount of their own DNA (known as mitochondrial DNA). Both males and females have mitochondrial DNA so this type of testing can be used by either sex. Mitochondria DNA is passed on solely from egg cells so it provides information about the direct female ancestral line. Mitochondrial DNA testing can be useful for genealogy because it preserves information about female ancestors that may be lost from the historical record because of the way surnames are often passed down.