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Residual Variance or Dispersion of Gamma GLMER

Hi,
I am trying to fit a Hurdle model using glmer, however in order to
calculate the variance of the Hurdle model I need to know the dispersion of
the gamma ZAG, which I cannot find from the summary of my model:
Generalized linear mixed model fit by maximum likelihood (Laplace
Approximation) ['glmerMod']
 Family: Gamma  ( log )
Formula: Biomass ~ Protection * Exposure + (1 | Location)
   Data: Aarmata.pos

     AIC      BIC   logLik deviance df.resid
   644.9    657.5   -316.4    632.9       55

Scaled residuals:
    Min      1Q  Median      3Q     Max
-1.2278 -0.7188 -0.1149  0.3721  3.4934

Random effects:
 Groups   Name        Variance Std.Dev.
 Location (Intercept) 0.5489   0.7409
 Residual             0.6531   0.8082
Number of obs: 61, groups:  Location, 8

Fixed effects:
                                        Estimate Std. Error t value
Pr(>|z|)
(Intercept)                               4.1195     0.4866   8.466
 <2e-16 ***
ProtectionProtected                       0.2202     0.6940   0.317
 0.7510
ExposureSemiexposed                      -0.6357     0.3319  -1.915
 0.0555 .
ProtectionProtected:ExposureSemiexposed  -0.7128     0.5492  -1.298
 0.1944
---
Signif. codes:  0 ?***? 0.001 ?**? 0.01 ?*? 0.05 ?.? 0.1 ? ? 1

Correlation of Fixed Effects:
            (Intr) PrtctP ExpsrS
PrtctnPrtct -0.701
ExpsrSmxpsd -0.212  0.143
PrtctnPr:ES  0.131 -0.242 -0.562