In pastoral ecology, we can employ grazing indicators as proxies of the actual grazing pressure. These indicators can concern different spatial levels of a pastoral system. At the field level, indicators can be a measure of local grazing pressure. In contrast, stocking rate is grazing indicator at the individual grazing area level (I employed the level terms of hierarchical structure of a pastoral system of Balent and Stafford-Smith 1991).
In this framework we could wonder:
Which are the relationship between grazing indicators ?
To what extent the vegetation variability is related to the grazing indicators ?
Are there significant differences of grazing indicators across commons and transhumance modalities ?
Which are the relationship between plant community types* of CSP and the grazing indicators ?
*plant community types found in the paper that we already submitted.
In this report I focus on research questions 1 and 2 and propose a statistical analysis for question 3 and 4 that we could discuss.
Indicators measured at the field level, i.e.nearby or along the 72 vegetation transects carried out during spring 2022 and 2023.
Plant Utilization Rates (PUR): We followed the method described
by Ruiz-Mirazo et al. (2011) which proposes qualitative categories of
plant utilization ranging from 0 to 5, with 3 referring to intermediate
utilization. PUR have been measured nearby the vegetation transect in 25
individuals of dominant species, i.e. Helianthemum cinereum,
Helianthemum oelandicum, Helianthemum appenninum,
Thymus serpylloides, Koeleria vallesiana, Seseli
montanum and Festuca segimonensis). Also we measured an
overall Plant Utilisation Rate (PUR) of the vegetation
pur_RA
, which was measured at each meter of the 10m
transect. For the statistical analysis we aggregated species with
similar PUR. We generated two categories; low palatable
species (PUR < 2) including Koeleria vallesiana, Seseli
montanum and Festuca segimonensis, and
high palatable
species (PUR >4) including species of
Helianthemum spp. and Thymus serpylloides.
pl_density
: total number of plant contacts in the
transects. Plant density allows evaluating grazing effects (Castañeda et
al., 2023).
n_flower
: total number of plant with flowers
recorded in the transect. Flower abundance has been negatively
associated with grazing pressure (Tadey et al. 2015).
bare
: Bare ground recorded in the transect. Bare
ground can be an indicator of herbivores’ activity and is positively
correlated with runoff and soil erosion (Pyke et al. 2002).
dung
: Dung measured at the beginning
(dung_sp
) and at the end (dung_au
) of the
grazing period. We employed quadrats of 50 x 50 cm to measure the dung
amount. The quadrats were located adjacent to the 10m transect every 1
meter so carrying out 10 dung amount measurement. Dung can be a measure
of grazing pressure on the transect scale (Jordan et al. 2022).
Stocking Rate,
which refers to the number of livestock
per hectare over a specified time (Allen et al. 2011), is usually used
to asses the effect of livestock on vegetation. Here we used
animals*days per hectare (Scarnecchia 1985), which consider the number
of days that the comarca is grazed. We gather such informations
through the observations in field of Pau and Francisco and our
observations during 2022 and 2023 fieldwork. Also, I check the
transcriptions of the interviews done by me and Adrià during 2023.\[\text{Stocking Rate} = \frac{Animals * Days}{Hectares}\]
However, this indicator may not be suitable in case of environmental and plant community heterogeneity, also it does not take into account herding practices at the local scale (Genin and Hanafi 2010).
## stoking_rate_2 pl_density pur_RA pur_high_palatable
## Min. : 199.7 Min. : 93.0 Min. :3.200 Min. :4.12
## 1st Qu.: 371.4 1st Qu.:123.0 1st Qu.:3.900 1st Qu.:4.64
## Median : 483.5 Median :139.5 Median :4.200 Median :4.75
## Mean : 487.6 Mean :148.0 Mean :4.193 Mean :4.75
## 3rd Qu.: 592.5 3rd Qu.:172.2 3rd Qu.:4.525 3rd Qu.:4.92
## Max. :1035.8 Max. :297.0 Max. :4.900 Max. :5.00
## pur_low_palatable dung_au dung_sp n_flower
## Min. :0.40 Min. : 22.00 Min. : 11.00 Min. : 3.00
## 1st Qu.:1.00 1st Qu.: 57.75 1st Qu.: 54.00 1st Qu.:18.00
## Median :1.49 Median : 96.00 Median : 81.00 Median :24.00
## Mean :1.52 Mean :106.60 Mean : 96.76 Mean :25.11
## 3rd Qu.:1.96 3rd Qu.:146.50 3rd Qu.:117.00 3rd Qu.:31.25
## Max. :3.04 Max. :300.00 Max. :392.00 Max. :69.00
## bare
## Min. : 0.000
## 1st Qu.: 4.000
## Median : 7.000
## Mean : 7.611
## 3rd Qu.:11.250
## Max. :17.000
Correlation matrix:
## stoking_rate_2 pl_density pur_RA pur_high_palatable
## stoking_rate_2 1
## pl_density -0.12 1
## pur_RA 0.27 -0.16 1
## pur_high_palatable 0.25 0.19 0.37 1
## pur_low_palatable 0.06 -0.27 0.26 -0.51
## dung_au 0.21 -0.02 0 0.17
## dung_sp 0.01 -0.09 0.16 0.06
## n_flower -0.1 0.17 -0.08 -0.18
## bare 0 -0.53 0.12 -0.2
## pur_low_palatable dung_au dung_sp n_flower bare
## stoking_rate_2
## pl_density
## pur_RA
## pur_high_palatable
## pur_low_palatable 1
## dung_au -0.25 1
## dung_sp 0.12 0.42 1
## n_flower 0.03 -0.22 -0.05 1
## bare 0.25 -0.13 0.03 -0.12 1
The indicators are not highly correlated between them. As they are not highly correlated, we do not have the issue of multicollinearity so we can keep them all to the PCA analysis.
## $importance
## Importance of components:
## PC1 PC2 PC3 PC4 PC5 PC6 PC7
## Eigenvalue 1.9521 1.8546 1.3366 1.1694 0.82805 0.67062 0.5301
## Proportion Explained 0.2169 0.2061 0.1485 0.1299 0.09201 0.07451 0.0589
## Cumulative Proportion 0.2169 0.4230 0.5715 0.7014 0.79341 0.86792 0.9268
## PC8 PC9
## Eigenvalue 0.44940 0.20923
## Proportion Explained 0.04993 0.02325
## Cumulative Proportion 0.97675 1.00000
Principal component one explains 22%, component two explains 21%, and component three explains 15% of the variance.
inv_scores = data.frame(ind.pca$CA$u)
inv_scores1 <- right_join(rownames_to_column(df_grazing_ind_v2), rownames_to_column(data.frame(inv_scores)), by = "rowname")
# add categories like common instead of df_grazing_ind_v2 and this code has sense.
var_scores = data.frame(ind.pca$CA$v)
Variables and principal components 1-2
Transects and principal Components 1-2
Considering that we have a group classification of transects (e.g. transhumance modalities for RS.3 or plant community types for RS.4) based on the vegetationdata and we try to explain this classification using our grazing indicators, we could perform a Linear Discriminant Analysis (LDA).
Allen, V. G., Batello, C., Berretta, E. J., Hodgson, J., Kothmann, M., Li, X., McIvor, J., Milne, J., Morris, C., Peeters, A., Sanderson, M., & The Forage and Grazing Terminology Committee. (2011). An international terminology for grazing lands and grazing animals. Grass and Forage Science, 66(1), 2–28. https://doi.org/10.1111/j.1365-2494.2010.00780.x
Balent, G., & Stafford-Smith, M. (1991). Conceptual model for evaluating the consequences of management practices on the use of pastoral resources. Proceedings from the Fourth International Rangeland Congress, 1158–1164.
Castañeda, I., Callède, L., & Corcket, E. (2023). Apports d’un dispositif intégré « Communauté-Population-Sol » pour évaluer l’effet des grands herbivores sur les écosystèmes. Naturae, 3. https://doi.org/10.5852/naturae2023a3
Genin, D., & Hanafi, A. (2010). Estimating pastoral pressure on arid rangelands: How to take into account herd management practices? Livestock Research for Rural Development, 22(4). http://www.lrrd.org/lrrd22/4/geni22078.htm
Jordan, S. E., Palmquist, K. A., Burke, I. C., & Lauenroth, W. K. (2022). Small effects of livestock grazing intensification on diversity, abundance, and composition in a dryland plant community. Ecological Applications, 32(8), e2693. https://doi.org/10.1002/eap.2693
Pyke, D. A., Herrick, J. E., Shaver, P., & Pellant, M. (2002). Rangeland Health Attributes and Indicators for Qualitative Assessment. Journal Range Management, 15.
Scarnecchia, D. L. (1985). The Relationship of Stocking Intensity and Stocking Pressure to Other Stocking Variables. Journal of Range Management, 38(6), 558. https://doi.org/10.2307/3899753
Ruiz-Mirazo, J., Robles, A. B., & González-Rebollar, J. L. (2011). Two-year evaluation of fuelbreaks grazed by livestock in the wildfire prevention program in Andalusia (Spain). Agriculture, Ecosystems & Environment, 141(1–2), 13–22. https://doi.org/10.1016/j.agee.2011.02.002
Tadey, M. (2015). Indirect effects of grazing intensity on pollinators and floral visitation. Ecological Entomology, 40(4), 451–460. https://doi.org/10.1111/een.12209