I wrote an outline of Augustus H. Strong's treatment of the subject. Strong was a traducianist.
I) The Creation Theory
A) “[H]eld by Aristotle, Jerome, and Pelagius, and in modern times has been advocated by most of the Roman Catholic and Reformed theologians. It regards the soul of each human being as immediately created by God…”
B) Best representatives:
i) Turretin
ii) Hodge
iii) Martensen
iv) Liddon
C) Untenable for the following reasons:
i) “The passages adduced in its support may with equal propriety be regarded as expressing God’s mediate agency in the origination of human souls.”
(a) Passages include:
(1) Eccl 12:7
(2) Is 57:16
(3) Zech 12:1
(4) Heb 12:9
(b) Just as these passages refer to God as the creator of the soul, other passages equally refer to God as the creator of the body:
(1) Ps 139:13-14
(2) Jer 1:5
ii) “Creationism regards the earthly father as begetting only the body of his child—certainly as not the father of the child’s highest part. This makes the beast to possess nobler powers of propagation than man; for the beast multiplies himself after his own image.”
iii) “The individuality of the child, even in the most extreme cases, as in the sudden rise from obscure families and surroundings of marked men like Luther, may be better explained by supposing a law of variation impressed upon the species at its beginning—a law whose operation is foreseen and supervised by God.”
(a) This he proposes in opposition to the creationist’s contention “that there is a marked individuality in the child, which cannot be explained as a mere reproduction of the qualities existing in the parents.”
iv) “This theory, if it allows that the soul is originally possessed of depraved tendencies, makes God the direct author of moral evil...”
(a) “The decisive argument against creationism”
II) The Traducian Theory
A) “This view was propounded by Tertullian, and was implicitly held by Augustine. In modern times it has been the prevailing opinion of the Lutheran Church. It holds that the human race was immediately created in Adam, and, as respects both body and soul, was propagated from him by natural generation—all souls since Adam being only mediately created by God…”
i) “Traducianism holds that man, as a species, was created in Adam. In Adam, the substance of humanity was yet undistributed. We derive our immaterial as well as our material being, by natural laws of propagation, from Adam…”
B) Remarks on Traducianism:
i) “It seems best to accord with Scripture, which represents God as creating the species in Adam (Gen 1:27), and as increasing and perpetuating it through secondary agencies (1:28; cf. 22). Only once is breathed into man’s nostrils the breath of life (2:7; [he cites many other passages here]), and after man’s formation God ceases from his work of creation (Gen 2:2).”
ii) “It is favored by the analogy of vegetable and animal life, in which increase of numbers is secured, not by a multiplicity of immediate creations, but by the natural derivation of new individuals from a parent stock.”
iii) “The observed transmission not merely of physical, but of mental and spiritual, characteristics in families and races, and especially the uniformly evil moral tendencies and dispositions which all men possess from their birth, are proof that in soul, as well as in body, we derive our being from our human ancestry.”
iv) Traducianism allows for significant variation of child from parent in spiritual constitution, just as the body may be significantly different than that of the parent; this variation is often presented as a proof for creationism, but is not inconsistent with the traducian view.