Quim Zaldo

2. ᴠ
Scale invariance
The environment as a complex system
(Ibáñez et al., 2021a)
(Labib et al., 2020)
Number
of
polygons
of
each
category
Category range according to their decreasing No of polygons
Conclusions
Introduction Goals Discussion
Research chapters
2
ln(r) Size variable
ln
(r)
Entropy
variable
ᴠ

3. 2015 Composed Socioeconomic Index (deprivation). OCS
quintile division: very high, high, medium, low, very low SES
Age groups
paediatric adult old
teenagers senior very
old
Sex
male and female
Health conditions. Agència de Qualitat i
Avaluació Sanitàries de Catalunya. AQuAs
(2014)
prevalence rates of T2DM, asthma, and anxiety
Conclusions
Introduction Goals Discussion
Research chapters
3
Basic Health Areas (2014)
N=369
Research chapter 2 methods

4. (0.20,0.15,0.12,0.1,0.12,0.11,0.1, 0.1) = 1
𝑧𝑖
𝑙
= log2
𝑥𝑖
𝑙
𝐷−𝑖
𝑗=𝑖+1
𝐷
𝑥𝑗
𝑙
,
(0.1,0.20,0.15,0.12,0.12,0.11,0.1,0.1) = 1
(Müller et al., 2018)
Conclusions
Introduction Goals Discussion
Research chapters
4
Research chapter 2 methods
𝒍 = 𝟒
𝑥1
Land Use and Land cover map of Catalonia (2012)
Set of pivot logratios
(PLRs)
𝑙 = 1, … , 𝐷.
𝑖 = 1, … , 𝐷 − 1.

5. (0.20,0.15,0.12,0.1,0.12,0.11,0.1, 0.1) = 1
(0.1,0.20,0.15,0.12,0.12,0.11,0.1,0.1) = 1
(Müller et al., 2018)
Conclusions
Introduction Goals Discussion
Research chapters
5
Research chapter 2 methods
𝒍 = 𝟒
𝑥1
Land Use and Land cover map of Catalonia (2012)
Set of pivot logratios
(PLRs)
𝒛𝟏
𝟒
= log2
𝒙𝟏
𝟒
8−1
𝑗=2
8
𝑥𝑗
4
= ilr-Broad-leaved forest = -0,3212
∆𝑧𝑖
𝑙
= log2 2 ×
𝑥𝑖
𝑙
𝐷−𝑖
𝑗=𝑖+1
𝐷
𝑥𝑗
𝑙
= log2 2 + log2
𝑥𝑖
𝑙
𝐷−𝑖
𝑗=𝑖+1
𝐷
𝑥𝑗
𝑙
= 1 + log2
𝑥𝑖
𝑙
𝐷−𝑖
𝑗=𝑖+1
𝐷
𝑥𝑗
𝑙
,
𝐿𝑜𝑔𝑖𝑡 µ𝑖 = log
𝑝𝑖
1−𝑝𝑖
= 𝛽0 + 𝛽𝑙 × 𝑍𝑙,