boundary (singular) fit: see help('isSingular')

NLOPT_FTOL_REACHED: Optimization stopped because ftol_rel or ftol_abs (above) was reached.

NLOPT_XTOL_REACHED: Optimization stopped because xtol_rel or xtol_abs (above) was reached.

P value adjustment: tukey method for comparing a family of 3 estimates
NOTE: Compact letter displays can be misleading
      because they show NON-findings rather than findings.
      Consider using 'pairs()', 'pwpp()', or 'pwpm()' instead.

# structural relation
mineral_phase <~ 1*clay_mineralogy_PC1 + clay_mineralogy_PC2 

CUE ~ F.A_log + CN_soil + pH + landuse 
F.A_log ~ 1 + pH + landuse 
CN_soil ~ 1 + landuse + mineral_phase
pH ~ 1 + landuse + mineral_phase

F.A_log ~~ CN_soil
pH ~~ CN_soil

# structural relation
CUE ~ F.A_ratio + CN_soil + pH #+ landuse
F.A_ratio ~ 1 + landuse + pH  
CN_soil ~ 1 + landuse 
pH ~ 1 + landuse

F.A_ratio ~~ CN_soil
pH ~~ CN_soil

# structural relation
CUE ~ Archaea_log10 + Fungi_log10 + CN_soil + pH #+ landuse
Archaea_log10 ~ 1 + landuse + pH 
Fungi_log10 ~ 1 + landuse + pH 
CN_soil ~ 1 + landuse
pH ~ 1 + landuse

Fungi_log10 ~~ CN_soil
Archaea_log10 ~~ CN_soil
Fungi_log10 ~~ Archaea_log10
pH ~~ CN_soil

# structural relation
mineral_phase <~ 1*clay_mineralogy_PC1 + clay_mineralogy_PC2 

CUE ~ Fungi_log10 + Archaea_log10 + CN_soil + pH + landuse 
Fungi_log10 ~ 1 + pH + landuse
Archaea_log10 ~ 1 + pH + landuse 
CN_soil ~ 1 + landuse + mineral_phase
pH ~ 1 + landuse + mineral_phase

Fungi_log10 ~~ CN_soil
Archaea_log10 ~~ CN_soil
Fungi_log10 ~~ Archaea_log10
pH ~~ CN_soil

# structural relation
mineral_phase <~ 1*clay_mineralogy_PC1 + clay_mineralogy_PC2

CUE ~ F.A_ratio + CN_soil + pH + landuse 
F.A_ratio ~ 1 + pH + landuse 
CN_soil ~ 1 + landuse + mineral_phase
pH ~ 1 + landuse + mineral_phase

F.A_ratio ~~ CN_soil
pH ~~ CN_soil

Type III Analysis of Variance Table with Satterthwaite's method

Intervals are back-transformed from the log scale

mineral_phase <~ 1*clay_mineralogy_PC1 + clay_mineralogy_PC2

# structural relation
CUE ~ a1*pH +  a2*F.A_ratio + a3*CN_soil + a4*landuse 
F.A_ratio ~ 1 + b1*pH + b2*landuse 
pH ~ 1 + c1*landuse + c2*mineral_phase
CN_soil ~ 1 + d1*landuse + d2*mineral_phase

# variances & covariances
pH ~~ pH
CUE ~~ CUE
CN_soil ~~ CN_soil
F.A_ratio ~~ CN_soil
pH ~~ CN_soil

indirect.landuse.pH := c1*a1
indirect.landuse.CN_soil := d1*a3
indirect.landuse.FA := b2*a2 + b1*c1*a2
direct.landuse := a4
total.landuse := indirect.landuse.pH + indirect.landuse.CN_soil + indirect.landuse.FA + direct.landuse

indirect.mineralphase.pH := c2*a1
indirect.mineralphase.CN_soil := d2*a3
indirect.mineralphase. FA := b1*c2*a2
total.mineralphase := indirect.mineralphase.pH + indirect.mineralphase.CN_soil + indirect.mineralphase.FA