The robustness of a genotype is the ability of this genotype to resist (always produce the same phenotype) to various parameters such as mutations and environment. The ability of a genotype to resist to mutations is called mutational robustness while the ability of a genotype to resist to varying environmental variables is called environmental robustness.
Is there a correlation between environmental and mutational robustness?
In other words the above question is: is there a among-species/populations/genotype correlation between mutational robustness and environmental robustness? i.e., Knowing that species $A$ has high mutational robustness, is species $A$ more or less likely than a randomly picked species $B$ to have a high environmental robustness? Or are the concepts of environmental and mutational robustness completely different and involve completely different genes and genetic architecture? Both theoretical and empirical studies that offer insights to this question are welcome.