where Di is the dormancy stage (i = ”Endodormancy” or “Ecodormancy”), and Ej the elevation effect (j = “low-100 m”, “medium-800 m” or “high-1,600 m” elevation).
For estimation of the interaction effect, we compared the following a complete model:
Three gene sets were thus generated: (i) DEGs (geneset#1) corresponding to dormancy regulation (regardless of elevation), (ii) DEGs (geneset#2) corresponding to differences in elevation (regardless of dormancy stage), and (ii) DEG (geneset#3) displaying a significant dormancy-by-elevation interaction. Annotations for each DEG were recovered from the published pedunculate oak genome sequence [116 (link)]. Below, we focus particularly on geneset#2 and #3, which should include the key molecular players involved in response to temperature (and potentially to local adaptation) to temperature for geneset#2, and should reveal differences in the strategies of oak stands analysed across bud phenological stages to cope with temperature variation for geneset#3. The elevation term used here does not allow to disentangle the effect of phenotypic plasticity from those of genetic differentiation. Indeed, [117 ] reported that the adaptive response of populations to divergent selection pressures along the elevation systematically results from a combination of non-optimal phenotypic plasticity and genetic differentiation. Thus, other experimental design such as reciprocal transplantations are needed to separate these two effects in the stands analyzed.
DEGs from geneset#2 and #3 were analyzed with EXPANDER software [118 (link)], which clusters genes according to their expression profile, using a Kmeans algorithm [118 (link)]. For both gene sets, we set the number of clusters to 5 (k = 5) to maximize the homogeneity of each cluster. The genes from each cluster were then used for independent gene set and subnetwork enrichment analysis (see below).