Last updated: 2022-04-19
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Vamos a realizar la comparación seleccionando para cada parcela (n=12) un valor de cobertura de quadrats (quadrats medio).
metodo | mean | sd | se | cv | median | min | max | n |
---|---|---|---|---|---|---|---|---|
line_intercept | 27.19 | 6.49 | 1.87 | 23.86 | 29.67 | 11.95 | 34.0 | 12 |
point_quadrat | 55.50 | 7.62 | 2.20 | 13.73 | 56.00 | 41.00 | 64.0 | 12 |
quadrat medio | 29.92 | 5.35 | 1.54 | 17.88 | 30.81 | 21.25 | 37.5 | 12 |
statistic | p.value | parameter | method | mi_variable |
---|---|---|---|---|
23.84398 | 6.6e-06 | 2 | Kruskal-Wallis rank sum test | cobertura |
Los resultados de la ANOVA no paramétrica (Kruskal-Wallis) indican que existen diferencias significativas para la cobertura (%) entre los diferentes métodos de campo empleados (\(\chi^2\) = 23.84; p<0.0001) (Tabla 1.2).
Posteriormente, evaluamos si existen diferencias entre cada uno de los métodos (post hoc) y observamos que existen diferencias significativas entre el point quadrat y los otros métodos (line intercept y quadrat medio) (Tabla 1.3, Figura 1.1). Asimismo, no observamos diferencias entre la cobertura estimada según el line intercept y el quadrat medio.
H0 | statistic | p.value |
---|---|---|
line_intercept = point_quadrat | 4.53 | <0.001 |
line_intercept = quadrat medio | 0.70 | >0.999 |
point_quadrat = quadrat medio | 3.84 | <0.001 |
Figure 1.1: Comparación de los valores de cobertura entre los diferentes métodos de campo.
El siguiente paso es evaluar la correlación que existe entre los métodos de campo para la cobertura.
Tal y como observamos en la Figura 1.2, existe una correlación significativa del line intercept con el point quadrat (\(R^2=\) 0.63), aunque lejos del ajuste perfecto (línea negra en Figura 1.2). El método point quadrat sobreestima los valores de cobertura con respecto al método de line intercept. Así, el rango de cobertura estimado por el LI varía entre 11.95-34 %, mientras que la estimación por PQ varía entre 41-64% (Tabla 1.1).
Figure 1.2: Correlación entre los valores de cobertura estimados por Line Intercept y los otros métodos de campo: Point Quadrat y Quadrat medio.
metodo | mean | sd | se | cv | median | min | max | n |
---|---|---|---|---|---|---|---|---|
line_intercept | 531.04 | 274.90 | 79.36 | 51.77 | 543.13 | 84.27 | 1016.86 | 12 |
quadrat medio | 778.57 | 275.23 | 79.45 | 35.35 | 699.70 | 324.04 | 1296.47 | 12 |
Hemos comprobado Normalidad (W = 0.97; p=0.6350); y homocedasticidad (Bartlett’s K-squared = 0; p=0.9969) y se puede aplicar un método paramétrico, en este caso, la t-student de comparación de medias. Observamos que existen diferencias (Figura 1.3):
The Welch Two Sample t-test testing the difference of value by metodo (mean in group line_intercept = 531.04, mean in group quadrat medio = 778.57) suggests that the effect is negative, statistically significant, and large (difference = -247.53, 95% CI [-480.42, -14.64], t(22.00) = -2.20, p = 0.038; Cohen's d = -0.94, 95% CI [-1.81, -0.05])
Figure 1.3: Comparación de los valores de fitovolumen entre Line Intercept y Quadrat medio.
No existe una buena correlación entre los valores de fitovolumen estimados con line intercept y los estimados con quadrat medio (Figura 1.4). Este último método sobreestima el fitovolumen registrado por el LI (ver Tabla 1.4).
Figure 1.4: Correlación entre los valores de fitovolumen estimados por Line Intercept y Quadrat medio.
R version 4.0.2 (2020-06-22)
Platform: x86_64-apple-darwin17.0 (64-bit)
Running under: macOS Catalina 10.15.3
Matrix products: default
BLAS: /Library/Frameworks/R.framework/Versions/4.0/Resources/lib/libRblas.dylib
LAPACK: /Library/Frameworks/R.framework/Versions/4.0/Resources/lib/libRlapack.dylib
locale:
[1] en_US.UTF-8/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8
attached base packages:
[1] stats graphics grDevices utils datasets methods base
other attached packages:
[1] multcompView_0.1-8 statsExpressions_1.3.1
[3] ggsignif_0.6.3 pairwiseComparisons_3.1.3
[5] ggtext_0.1.1 PMCMRplus_1.9.3
[7] PMCMR_4.3 statmod_1.4.36
[9] tweedie_2.3.3 report_0.5.1
[11] kableExtra_1.3.1 cvequality_0.2.0
[13] performance_0.8.0 ggdist_3.0.1
[15] Metrics_0.1.4 ggstatsplot_0.9.1
[17] colorspace_2.0-2 ggpubr_0.4.0
[19] ggforce_0.3.2 ggdark_0.2.1
[21] janitor_2.1.0 here_1.0.1
[23] forcats_0.5.1 stringr_1.4.0
[25] dplyr_1.0.6 purrr_0.3.4
[27] readr_1.4.0 tidyr_1.1.3
[29] tibble_3.1.2 ggplot2_3.3.5
[31] tidyverse_1.3.1 workflowr_1.7.0
loaded via a namespace (and not attached):
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[4] gmp_0.6-2 munsell_0.5.0 codetools_0.2-18
[7] effectsize_0.6.0.1 withr_2.4.1 highr_0.8
[10] knitr_1.31 rstudioapi_0.13 ipmisc_5.0.2
[13] labeling_0.4.2 emmeans_1.5.4 git2r_0.28.0
[16] polyclip_1.10-0 farver_2.1.0 datawizard_0.4.0
[19] rprojroot_2.0.2 coda_0.19-4 vctrs_0.3.8
[22] generics_0.1.0 TH.data_1.0-10 xfun_0.23
[25] BWStest_0.2.2 R6_2.5.1 BayesFactor_0.9.12-4.3
[28] cachem_1.0.4 reshape_0.8.8 assertthat_0.2.1
[31] promises_1.2.0.1 scales_1.1.1.9000 multcomp_1.4-16
[34] gtable_0.3.0 processx_3.5.1 sandwich_3.0-0
[37] rlang_0.4.12 MatrixModels_0.4-1 zeallot_0.1.0
[40] splines_4.0.2 rstatix_0.6.0 broom_0.7.9
[43] prismatic_1.0.0 yaml_2.2.1 abind_1.4-5
[46] modelr_0.1.8 backports_1.2.1 httpuv_1.5.5
[49] gridtext_0.1.4 tools_4.0.2 bookdown_0.21.6
[52] ellipsis_0.3.2 jquerylib_0.1.3 WRS2_1.1-3
[55] Rcpp_1.0.7 plyr_1.8.6 ps_1.5.0
[58] pbapply_1.4-3 correlation_0.8.0 zoo_1.8-8
[61] haven_2.3.1 ggrepel_0.9.1 fs_1.5.0
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[82] lubridate_1.7.10 DBI_1.1.1 SuppDists_1.1-9.5
[85] kSamples_1.2-9 tweenr_1.0.1 dbplyr_2.1.1
[88] MASS_7.3-53 boot_1.3-26 Matrix_1.3-2
[91] car_3.0-10 cli_2.5.0 parallel_4.0.2
[94] insight_0.17.0 pkgconfig_2.0.3 getPass_0.2-2
[97] foreign_0.8-81 xml2_1.3.2 paletteer_1.3.0
[100] bslib_0.2.4 webshot_0.5.2 estimability_1.3
[103] rvest_1.0.0 snakecase_0.11.0 distributional_0.3.0
[106] callr_3.7.0 digest_0.6.27 parameters_0.17.0
[109] rmarkdown_2.8 cellranger_1.1.0 curl_4.3
[112] gtools_3.8.2 lifecycle_1.0.1 nlme_3.1-152
[115] jsonlite_1.7.2 carData_3.0-4 viridisLite_0.4.0
[118] fansi_0.4.2 pillar_1.6.1 lattice_0.20-41
[121] fastmap_1.1.0 httr_1.4.2 survival_3.2-7
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[130] memoise_2.0.0 Rmpfr_0.8-2