A standard Water and Leith climate diagram for the mean values of precipitation and temperature extracted from the species presence points.
The Walter and Leith diagram assumes that the growing season occurs when rainfall is over 100mm. A more refined method is to extract the values from a bucket model that keeps track of input to the soil profile through precipitation and reductions in soil moisture through evaptranspiration over the course of the year. This can be compared to changes in NDVI at the collection points.
In some cases NDVI will remain fairly constant, even when the balance model shows that soil water constant is lowered for part of the year. Providing SWC is above 50% of maximum levels the vegetation would not experience a great deal of hydric stress.
| Min. | 1st Qu. | Median | Mean | 3rd Qu. | Max. | |
|---|---|---|---|---|---|---|
| x | -105.00 | -97.00 | -89.90 | -92.50 | -88.70 | -84.20 |
| y | 9.93 | 17.50 | 18.30 | 17.90 | 19.50 | 22.70 |
| X | -105.00 | -97.00 | -89.90 | -92.50 | -88.70 | -84.20 |
| Y | 9.94 | 17.50 | 18.30 | 17.90 | 19.50 | 22.60 |
| elev | 2.00 | 72.00 | 225.00 | 502.00 | 824.00 | 2380.00 |
| anprec | 464.00 | 840.00 | 1140.00 | 1130.00 | 1220.00 | 2980.00 |
| mtemp | 14.60 | 23.50 | 25.20 | 24.20 | 25.80 | 29.00 |
| Trange | 12.30 | 16.70 | 18.90 | 18.70 | 20.50 | 26.30 |
| saet | 465.00 | 835.00 | 1060.00 | 996.00 | 1140.00 | 1420.00 |
| msoil | 217.00 | 256.00 | 292.00 | 291.00 | 324.00 | 391.00 |
The following diagrams show kernel densities one two synthestic climate axes (total annual rainfall and mean annual temperature). If their are signs of multimodality this may indicate that the species has not fully explored its climate niche, or that there are disjunct populations with differing characteristics. The method will not show clear results for species with few collection points.
The same analysis can be run to look at spatial clustering. The kernel densities are smoothed, so will only suggest multimodality if the points are very highly clustered.
The significance of any spatial clusters can be checked using the silhouette width method. The width is calculated for values of k between 2 and 5. If any are higher than 0.52 the analysis will produce a diagram showing the clusters.
## [1] "The collections form 4 spatial clusters"
The collections form 4 spatial clusters
If there is evidence that the points fall into at least 2 groups, but fewer than 6 we can look at whether there is significant differences in variability between and within groups in the climatic conditions at the sites using Anosim. This is a sensitive test, as would be MANOVA, so there will often be significant differences. They should only be intepreted as important if R is much larger than 0.3.
##
## Call:
## anosim(dat = dis, grouping = fit$cluster, permutations = 100)
## Dissimilarity: euclidean
##
## ANOSIM statistic R: 0.755
## Significance: 0.0099
##
## Based on 100 permutations
##
## Upper quantiles of permutations (null model):
## 90% 95% 97.5% 99%
## 0.0321 0.0355 0.0487 0.0554
##
## Dissimilarity ranks between and within classes:
## 0% 25% 50% 75% 100% N
## Between 6620 29216 41976 52154 61422 35864
## 1 111 8442 14065 24336 56273 435
## 2 111 9210 13100 20714 54188 595
## 3 111 5952 12829 27503 59899 21528
## 4 111 9764 13554 22608 61360 3003
## Analysis of Variance Table
##
## Response: vars$mtemp
## Df Sum Sq Mean Sq F value Pr(>F)
## as.factor(fit$cluster) 3 1003 334 79.7 <2e-16 ***
## Residuals 347 1456 4
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
The collections form 4 spatial clusters
For comparison we can fit a model using mean temperature, temperature range and annual precipitation.
Now fit a gam using temperature range, mean temperature and the annual soil moisture dynamic as input.
