Modeling competition for infection sites on roots by nonpathogenic strains of Fusarium oxysporum

By use of plane and solid geometry and probability models, efficiencies of infection and competition for nutrients and infection sites by a nonpathogenic strain of Fusarium oxysporum (C14) with F. oxysporum f. sp. cucumerinum on the rhizoplane of cucumber were calculated. The model is derived from previously published data. Efficiencies for successful infection were 0.04 chlamydospores per infection site for both pathogen and nonpathogen. Observed successful infections by the pathogen in competition with the nonpathogen were close in values to the competition ratio (CR) calculated as the number of chlamydospores on the infection court of the pathogen divided by the total number of both pathogen and nonpathogen at relatively low densities. When total chlamydospores were, on average, closer than 175 μm apart, however, competition for nutrients/mutual inhibition occurred. At such densities there was an overestimation of the effect of competition for infection sites. These relationships were modeled at inoculum densities of pathogen and/or nonpathogen of 5000 chlamydospores per g soil and above, however, in the field, maximum densities of 1000 colony forming units/g (cfu) were observed. Most likely models of competition for infection sites at this density of the pathogen revealed that infection efficiency was only approximately halved, even when 0.98 of the possible 30 infection sites were occupied by the nonpathogen. It is conclude that competition for nutrients and/or infection sites is an insignificant factor in biocontrol of Fusarium wilt diseases by nonpathogenic fusaria.