historians. However, virtually all Western sources disagree, estimating the Franks as numbering 30,000, less than half the Muslim force. Some modern historians, using estimates of what the land was able to support and what Martel could have raised from his realm and supported during the campaign, believe the total Muslim force, counting the outlying raiding parties, which rejoined the main body before Tours, outnumbered the Franks. Drawing on non-contemporary Muslim sources, Creasy describes the Umayyad forces as 80,000 strong or more. Writing in 1999, Paul K. Davis estimates the Umayyad forces at 80,000 and the Franks at about 30,000, while noting that modern historians have estimated the strength of the Umayyad army at Tours at between 20,000–80,000. However, Edward J. Schoenfeld, rejecting the older figures of 60,000–400,000 Umayyads and 75,000 Franks, contends that "estimates that the Umayyads had over fifty thousand troops (and the Franks even more) are logistically impossible." Similarly, historian Victor Davis Hanson believes both armies were roughly the same size, between 20,000 and 30,000 men. Contemporary historical analysis may be more accurate than the medieval sources, as the modern figures are based on estimates of the logistical ability of the countryside to support these numbers of men and animals. Both Davis and Hanson point out that both armies had to live off the countryside, neither having a commissary system sufficient to provide supplies for a campaign. Other sources give the following estimates: "Gore places the Frankish army at 15,000–20,000, although other estimates range from 30,000 to 80,000. In spite of wildly varying estimates of the Muslim force, he places that army as around 20,000–25,000. Other estimates also range up to 80,000, with 50,000 not an uncommon estimate." Losses during the battle are unknown, but chroniclers later claimed that Charles Martel's force lost about 1,500 while the Umayyad force was said to have suffered massive casualties of up to 375,000 men. However, these same casualty figures were recorded in the Liber Pontificalis for Duke Odo the Great's victory at the Battle of Toulouse (721). Paul the Deacon reported correctly in his History of the Lombards (written around 785) that the Liber Pontificalis mentioned these casualty figures in relation to Odo's victory at Toulouse (though he claimed that Charles Martel fought in the battle alongside Odo), but later writers, probably "influenced by the Continuations of Fredegar, attributed the Muslims casualties solely to Charles Martel, and the battle in which