library(vegan)
bird_Ohio
ncol(bird_Ohio)
[1] 48
sp.rich<-specnumber(bird_Ohio, MARGIN=1)
as.data.frame(sp.rich)
sp.even<-specnumber(bird_Ohio,MARGIN=2)
as.data.frame(sp.even)
shannon<-diversity(bird_Ohio, index = "shannon")
shannon
[1] 1.812353 2.443171 2.502177 2.449965
[5] 2.505759 2.508055 2.808416 2.632368
[9] 2.573988 2.450999 2.394499 2.670755
[13] 2.531704 2.538192 2.502138 2.671630
[17] 2.157016 2.003041 2.458384 2.517153
[21] 2.887236 2.238884 2.518361 2.459535
[25] 2.299249 2.324144 2.388357 2.443737
[29] 2.508801 2.239565 2.719239 2.669216
[33] 2.564513 2.220202 2.371608 2.728757
[37] 2.523222 2.698767 1.974502 2.403435
[41] 3.027143 2.929427 2.232029 2.326931
[45] 2.594871 2.428581 2.325057 1.853327
[49] 2.769102 2.504465 2.236733 2.948820
[53] 2.471493 2.608128 3.043401 2.600579
[57] 2.280595 2.117042 2.003623 2.829905
[61] 2.496714 2.873540 2.406037 2.131073
[65] 2.430766 2.713367 2.503175 2.517794
[69] 2.595210 2.233722 2.332257 2.371660
[73] 2.292052 2.391518 2.657784 2.475737
[77] 2.734494 2.356708 2.438921 2.292174
[81] 2.230160 2.444628 1.498985 2.542779
[85] 2.550645 2.736674 2.453161 2.339160
[89] 2.291078 2.258330 2.477123 2.602002
[93] 2.135238 2.001804 2.482235 2.668960
[97] 2.858335 2.649933 2.453522 2.865006
[101] 2.783952 2.998991 2.771560 2.295914
[105] 2.824489 2.383109 2.503965 2.634558
[109] 2.629183 2.519069 1.944464 2.445383
[113] 2.350606 2.406909 2.321891 2.375944
[117] 2.767400 2.843069 2.707323 2.148480
[121] 2.363373 2.489638 2.574951 2.517391
[125] 2.515402 2.707214 2.297690 2.547743
[129] 2.178186 2.640613 2.353198 2.386311
[133] 2.588825 2.240908 2.631116 3.003723
[137] 2.852913 2.490412 2.839435 2.716773
[141] 2.980252 2.197722 1.798709 2.885919
[145] 3.032903 2.485085 2.314192 2.241601
[149] 1.916081 2.567405 3.158537 2.891359
[153] 2.280094 2.767268 3.111523 2.444470
[157] 2.548230 2.518348 2.349092 2.625978
[161] 2.451639 2.764880 2.267142 3.161186
[165] 2.631644 2.692776 2.861356 2.906638
[169] 2.784373 2.308865 2.092852 2.622334
[173] 2.513477 2.282174 2.446827 2.388816
[177] 2.275937 2.354834 2.518677 2.193424
[181] 2.352495 2.779190 2.201542 2.549830
[185] 2.561493 2.912577 2.307692 2.637404
[189] 2.831398 2.850695 2.344426 2.665442
[193] 2.467880 2.850518 2.260180 2.756500
[197] 2.578963 2.309209 2.595555 2.466597
[201] 2.418257 2.351541 2.665416 1.990114
[205] 2.435551 2.375377 2.154783 2.893215
[209] 2.821822 2.495723
simpson<-diversity(bird_Ohio, index = "simpson")
simpson
[1] 0.7805326 0.8960000 0.9075255 0.8855556
[5] 0.9026709 0.9011446 0.9240237 0.9110302
[9] 0.9070295 0.8999270 0.8799049 0.9196694
[13] 0.8888889 0.8962500 0.9007561 0.9142661
[17] 0.8620038 0.8197531 0.8960302 0.9045369
[21] 0.9357639 0.8616864 0.8697979 0.8830796
[25] 0.8786848 0.8776042 0.8829630 0.8850442
[29] 0.8976082 0.8719723 0.9245578 0.9113564
[33] 0.9050365 0.8360000 0.8854685 0.9157440
[37] 0.8912000 0.9079717 0.8266667 0.8847737
[41] 0.9387269 0.9382716 0.8691650 0.8791308
[45] 0.9076543 0.8950000 0.8775000 0.7809917
[49] 0.9238683 0.8980229 0.8823143 0.9409722
[53] 0.8960459 0.9151874 0.9464575 0.9135355
[57] 0.8824142 0.8347107 0.8395062 0.9347352
[61] 0.9092971 0.9273192 0.8870523 0.8546384
[65] 0.8946281 0.9188345 0.8836806 0.8945578
[69] 0.9047852 0.8755556 0.8977778 0.8900227
[73] 0.8383743 0.8843537 0.9178994 0.8921324
[77] 0.9271163 0.8833792 0.8899955 0.8757396
[81] 0.8698061 0.8863772 0.7321429 0.9112500
[85] 0.9088757 0.9159111 0.8846154 0.8792000
[89] 0.8742791 0.8650765 0.9047619 0.9126276
[93] 0.8577610 0.8448118 0.9032922 0.9145881
[97] 0.9304734 0.9073433 0.8827977 0.9330652
[101] 0.9225839 0.9427660 0.9207786 0.8814879
[105] 0.9275148 0.8897929 0.8994646 0.9161111
[109] 0.9120708 0.9000000 0.7976000 0.8922902
[113] 0.8741319 0.8870392 0.8729339 0.8923182
[117] 0.9202477 0.9193787 0.9149520 0.8515625
[121] 0.8741497 0.8921324 0.9022485 0.9037901
[125] 0.8891293 0.9149338 0.8655500 0.8978052
[129] 0.8395062 0.9145408 0.8800000 0.8966837
[133] 0.9054134 0.8526786 0.9104132 0.9400889
[137] 0.9307670 0.8930664 0.9362500 0.9239452
[141] 0.9383673 0.8441358 0.7929240 0.9388889
[145] 0.9432398 0.8966667 0.8854644 0.8702422
[149] 0.8138013 0.9071220 0.9499541 0.9307195
[153] 0.8691716 0.9120499 0.9468599 0.8955442
[157] 0.8949804 0.9037901 0.8696377 0.9083176
[161] 0.8940972 0.9189189 0.8529779 0.9519312
[165] 0.9084298 0.9137329 0.9341564 0.9375000
[169] 0.9126658 0.8780992 0.8480726 0.9066607
[173] 0.8948148 0.8680556 0.8999082 0.8753463
[177] 0.8734995 0.8911565 0.8966667 0.8577610
[181] 0.8888889 0.9228395 0.8440083 0.9104540
[185] 0.9053498 0.9396386 0.8804283 0.9167658
[189] 0.9286332 0.9297778 0.8928200 0.9150327
[193] 0.8883929 0.9329660 0.8786848 0.9156283
[197] 0.9032922 0.8792867 0.9061250 0.8888889
[201] 0.8756378 0.8664554 0.9191176 0.8337950
[205] 0.8915289 0.8835063 0.8700000 0.9325017
[209] 0.9287965 0.8692904
inv.simpson<-diversity(bird_Ohio, index = "invsimpson")
inv.simpson
[1] 4.556485 9.615385 10.813793 8.737864
[5] 10.274419 10.115789 13.161994 11.239766
[9] 10.756098 9.992701 8.326733 12.448560
[13] 9.000000 9.638554 10.076190 11.664000
[17] 7.246575 5.547945 9.618182 10.475248
[21] 15.567568 7.229947 7.680365 8.552826
[25] 8.242991 8.170213 8.544304 8.698997
[29] 9.766404 7.810811 13.255172 11.281124
[33] 10.530364 6.097561 8.731225 11.868597
[37] 9.191176 10.866221 5.769231 8.678571
[41] 16.320388 16.200000 7.643216 8.273408
[45] 10.828877 9.523810 8.163265 4.566038
[49] 13.135135 9.806122 8.497207 16.941176
[53] 9.619632 11.790698 18.676768 11.565445
[57] 8.504425 6.050000 6.230769 15.322188
[61] 11.025000 13.758794 8.853659 6.879397
[65] 9.490196 12.320513 8.597015 9.483871
[69] 10.502564 8.035714 9.782609 9.092784
[73] 6.187135 8.647059 12.180180 9.270627
[77] 13.720497 8.574803 9.090535 8.047619
[81] 7.680851 8.801047 3.733333 11.267606
[85] 10.974026 11.892178 8.666667 8.278146
[89] 7.954128 7.411609 10.500000 11.445255
[93] 7.030418 6.443787 10.340426 11.707965
[97] 14.382979 10.792531 8.532258 14.939914
[101] 12.917211 17.472131 12.622857 8.437956
[105] 13.795918 9.073826 9.946746 11.920530
[109] 11.372781 10.000000 4.940711 9.284211
[113] 7.944828 8.852632 7.869919 9.286624
[117] 12.538824 12.403670 11.758065 6.736842
[121] 7.945946 9.270627 10.230024 10.393939
[125] 9.019512 11.755556 7.437710 9.785235
[129] 6.230769 11.701493 8.333333 9.679012
[133] 10.572327 6.787879 11.162362 16.691395
[137] 14.443983 9.351598 15.686275 13.148410
[141] 16.225166 6.415842 4.829146 16.363636
[145] 17.617978 9.677419 8.730909 7.706667
[149] 5.370607 10.766816 19.981651 14.434084
[153] 7.643599 11.370079 18.818182 9.573427
[157] 9.522034 10.393939 7.670927 10.907216
[161] 9.442623 12.333333 6.801700 20.803509
[165] 10.920578 11.591900 15.187500 16.000000
[169] 11.450262 8.203390 6.582090 10.713604
[173] 9.507042 7.578947 9.990826 8.022222
[177] 7.905109 9.187500 9.677419 7.030418
[181] 9.000000 12.960000 6.410596 11.167442
[185] 10.565217 16.566879 8.363184 12.014286
[189] 14.012121 14.240506 9.330097 11.769231
[193] 8.960000 14.917808 8.242991 11.852321
[197] 10.340426 8.284091 10.652459 9.000000
[201] 8.041026 7.488136 12.363636 6.016667
[205] 9.219048 8.584158 7.692308 14.815182
[209] 14.044248 7.650549
fish.alp<-fisher.alpha(bird_Ohio)
fish.alp
[1] 4.879601 7.265437 5.991450 7.139089
[5] 7.612305 6.987499 11.700302 8.514440
[9] 7.645338 8.203268 8.096417 9.316717
[13] 10.625244 11.170180 8.704701 10.438229
[17] 5.277516 5.354320 7.741632 8.704701
[21] 14.235471 5.563489 10.802080 8.827385
[25] 6.444680 6.644209 7.878918 7.161667
[29] 7.814550 6.610003 8.514440 11.689884
[33] 8.929434 8.136595 6.745910 9.869081
[37] 9.074933 12.010405 5.252615 6.879711
[41] 15.000086 13.840139 5.922455 6.745910
[45] 9.946552 7.656867 6.691741 5.685388
[49] 11.492806 6.987499 5.098572 15.718214
[53] 7.483241 10.136431 22.398229 8.549933
[57] 7.182494 6.227126 4.586486 9.261872
[61] 7.353659 12.333742 9.181666 5.292913
[65] 7.088144 9.348894 9.392030 10.625244
[69] 8.326654 6.264404 6.264404 6.444680
[73] 8.704701 8.347135 8.791663 8.660992
[77] 10.665986 7.912277 7.612305 6.828399
[81] 6.040326 9.650566 2.342557 8.717218
[85] 6.781181 10.483605 7.896600 6.456369
[89] 6.369414 6.207709 7.353659 8.306262
[93] 4.776899 4.076606 6.879711 9.238619
[97] 14.386674 9.915005 9.749784 12.719495
[101] 9.512046 12.467435 14.572309 4.771091
[105] 13.095785 6.286631 8.525511 7.904514
[109] 8.514440 8.136595 5.007071 8.347135
[113] 7.490234 6.559906 7.088144 6.132369
[117] 10.691663 15.780397 11.492806 6.973786
[121] 8.347135 8.660992 9.031307 8.266633
[125] 11.641119 13.465722 6.745910 8.536862
[129] 6.127733 9.185480 6.456369 5.316444
[133] 10.886950 6.712734 10.277584 14.105449
[137] 12.719495 7.565648 14.166726 8.614305
[141] 13.911898 8.416321 4.257215 10.505202
[145] 17.331388 7.139089 5.780910 6.610003
[149] 4.928004 9.228867 18.363340 12.375997
[153] 6.745910 11.212185 16.327612 8.203268
[157] 8.660992 7.374796 8.266633 10.885075
[161] 7.490234 17.764531 7.374796 15.828827
[165] 10.277584 10.366882 12.624488 11.851265
[169] 11.519965 7.088144 4.850244 8.071292
[173] 9.946552 6.644209 9.181666 8.198934
[177] 5.925432 6.444680 7.904514 5.521350
[181] 6.444680 18.528711 6.227126 8.266633
[185] 8.536862 13.353647 6.564138 8.096417
[189] 11.284101 11.323066 7.182494 10.976162
[193] 8.306262 21.505636 5.612435 14.105050
[197] 9.454690 6.132369 9.060475 8.198934
[201] 8.306262 7.612305 7.992375 3.725191
[205] 8.024966 7.161667 7.959047 12.375997
[209] 11.156386 9.710044
Div.Ind<-cbind.data.frame(shannon, simpson, inv.simpson,fish.alp)
Div.Ind
summary(Div.Ind)
shannon simpson
Min. :1.499 Min. :0.7321
1st Qu.:2.334 1st Qu.:0.8788
Median :2.499 Median :0.8961
Mean :2.502 Mean :0.8936
3rd Qu.:2.669 3rd Qu.:0.9148
Max. :3.161 Max. :0.9519
inv.simpson fish.alp
Min. : 3.733 Min. : 2.343
1st Qu.: 8.251 1st Qu.: 6.746
Median : 9.629 Median : 8.267
Mean :10.239 Mean : 8.912
3rd Qu.:11.744 3rd Qu.:10.420
Max. :20.804 Max. :22.398
env_Ohio
Ohio.env.Div<-cbind.data.frame(env_Ohio, Div.Ind)
Ohio.env.Div
library("rstatix")
Ohio.env.Div %>%
group_by(ELT) %>%
get_summary_stats(shannon, type = "mean_sd")
Ohio.env.Div %>%
group_by(ELT) %>%
get_summary_stats(simpson, type = "mean_sd")
Ohio.env.Div %>%
group_by(ELT) %>%
get_summary_stats(inv.simpson, type = "mean_sd")
Ohio.env.Div %>%
group_by(ELT) %>%
get_summary_stats(fish.alp, type = "mean_sd")
Shanon.ELT<-ggplot(Ohio.env.Div, aes(x = ELT, y = shannon, fill = ELT)) +
geom_boxplot() +
stat_summary(fun = mean, geom = "point", shape =21, size = 3, colour = "black", fill="yellow")
Simp.ELT<-ggplot(Ohio.env.Div, aes(x = ELT, y = simpson, fill = ELT)) +
geom_boxplot() +
stat_summary(fun = mean, geom = "point", shape =21, size = 3, colour = "black", fill="yellow")
InvSimp.ELT<-ggplot(Ohio.env.Div, aes(x = ELT, y = inv.simpson, fill = ELT)) +
geom_boxplot() +
stat_summary(fun = mean, geom = "point", shape =21, size = 3, colour = "black", fill="yellow")
Fish.ELT<-ggplot(Ohio.env.Div, aes(x = ELT, y = fish.alp, fill = ELT)) +
geom_boxplot() +
stat_summary(fun = mean, geom = "point", shape =21, size = 3, colour = "black", fill="yellow")
grid.arrange(Shanon.ELT, Simp.ELT, InvSimp.ELT, Fish.ELT,
nrow=2, ncol=2)

grid.arrange(Shanon.ELT, Simp.ELT, InvSimp.ELT, Fish.ELT, nrow=2, ncol=2)

shannon_aov <- aov(Ohio.env.Div$shannon ~ Ohio.env.Div$ELT)
summary(shannon_aov)
Df Sum Sq Mean Sq F value
Ohio.env.Div$ELT 2 0.399 0.19958 2.817
Residuals 207 14.668 0.07086
Pr(>F)
Ohio.env.Div$ELT 0.0621 .
Residuals
---
Signif. codes:
0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1
‘ ’ 1
simpson_aov <- aov(Ohio.env.Div$simpson ~ Ohio.env.Div$ELT)
summary(simpson_aov)
Df Sum Sq Mean Sq
Ohio.env.Div$ELT 2 0.00583 0.002916
Residuals 207 0.21744 0.001050
F value Pr(>F)
Ohio.env.Div$ELT 2.776 0.0646 .
Residuals
---
Signif. codes:
0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1
‘ ’ 1
inv.simpson_aov <- aov(Ohio.env.Div$inv.simpson ~ Ohio.env.Div$ELT)
summary(inv.simpson_aov)
Df Sum Sq Mean Sq F value
Ohio.env.Div$ELT 2 44.5 22.262 2.438
Residuals 207 1890.5 9.133
Pr(>F)
Ohio.env.Div$ELT 0.0899 .
Residuals
---
Signif. codes:
0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1
‘ ’ 1
fish.alp_aov <- aov(Ohio.env.Div$fish.alp ~ Ohio.env.Div$ELT)
summary(fish.alp_aov)
Df Sum Sq Mean Sq F value
Ohio.env.Div$ELT 2 11.3 5.639 0.562
Residuals 207 2077.8 10.037
Pr(>F)
Ohio.env.Div$ELT 0.571
Residuals
distance_matrix<-vegdist(Ohio.env.Div[,9:9], method="bray", binary=FALSE)
adonis2(distance_matrix ~ ELT, data=Ohio.env.Div)
Permutation test for adonis under reduced model
Permutation: free
Number of permutations: 999
adonis2(formula = distance_matrix ~ ELT, data = Ohio.env.Div)
Df SumOfSqs R2 F Pr(>F)
Model 2 0.0387 0.00746 0.7778 0.487
Residual 207 5.1467 0.99254
Total 209 5.1854 1.00000
shannon_Tukey<-TukeyHSD(shannon_aov, conf.level=.95, ordered = TRUE)
shannon_Tukey
Tukey multiple comparisons of means
95% family-wise confidence level
factor levels have been ordered
Fit: aov(formula = Ohio.env.Div$shannon ~ Ohio.env.Div$ELT)
$`Ohio.env.Div$ELT`
diff lwr upr
dm-do 0.04362627 -0.0603278576 0.1475804
wm-do 0.10671316 0.0004435631 0.2129827
wm-dm 0.06308689 -0.0546961030 0.1808699
p adj
dm-do 0.5835556
wm-do 0.0487920
wm-dm 0.4169311
simpson_Tukey<-TukeyHSD(simpson_aov, conf.level=.95, ordered = TRUE)
simpson_Tukey
Tukey multiple comparisons of means
95% family-wise confidence level
factor levels have been ordered
Fit: aov(formula = Ohio.env.Div$simpson ~ Ohio.env.Div$ELT)
$`Ohio.env.Div$ELT`
diff lwr upr
dm-do 0.003429337 -9.227491e-03 0.01608616
wm-do 0.012841548 -9.719656e-05 0.02578029
wm-dm 0.009412211 -4.928335e-03 0.02375276
p adj
dm-do 0.7984209
wm-do 0.0522377
wm-dm 0.2701554
inv.simpson_Tukey<-TukeyHSD(inv.simpson_aov, conf.level=.95, ordered = TRUE)
inv.simpson_Tukey
Tukey multiple comparisons of means
95% family-wise confidence level
factor levels have been ordered
Fit: aov(formula = Ohio.env.Div$inv.simpson ~ Ohio.env.Div$ELT)
$`Ohio.env.Div$ELT`
diff lwr upr
dm-do 0.3772352 -0.80294964 1.557420
wm-do 1.1278123 -0.07865997 2.334284
wm-dm 0.7505770 -0.58660612 2.087760
p adj
dm-do 0.7312016
wm-do 0.0723818
wm-dm 0.3828643
fish.alp_Tukey<-TukeyHSD(fish.alp_aov, conf.level=.95, ordered = TRUE)
fish.alp_Tukey
Tukey multiple comparisons of means
95% family-wise confidence level
factor levels have been ordered
Fit: aov(formula = Ohio.env.Div$fish.alp ~ Ohio.env.Div$ELT)
$`Ohio.env.Div$ELT`
diff lwr upr
dm-do 0.07742881 -1.1598183 1.314676
wm-do 0.55140864 -0.7133968 1.816214
wm-dm 0.47397984 -0.9278564 1.875816
p adj
dm-do 0.9880401
wm-do 0.5593155
wm-dm 0.7045578
shannon_Tukey_plot <- as.data.frame(shannon_Tukey$`Ohio.env.Div$ELT`)
shannon_Tukey_plot$comparison <- rownames(shannon_Tukey_plot)
shannon_Tukey_plot
simpson_Tukey_plot <- as.data.frame(simpson_Tukey$`Ohio.env.Div$ELT`)
simpson_Tukey_plot$comparison <- rownames(simpson_Tukey_plot)
simpson_Tukey_plot
inv.simpson_Tukey_plot <- as.data.frame(inv.simpson_Tukey$`Ohio.env.Div$ELT`)
inv.simpson_Tukey_plot$comparison <- rownames(inv.simpson_Tukey_plot)
inv.simpson_Tukey_plot
fish.alp_Tukey_plot <- as.data.frame(fish.alp_Tukey$`Ohio.env.Div$ELT`)
fish.alp_Tukey_plot$comparison <- rownames(fish.alp_Tukey_plot)
fish.alp_Tukey_plot
shannon_Tukey_plot_result<-ggplot(shannon_Tukey_plot, aes(x = comparison, y = diff)) +
geom_point() +
geom_errorbar(aes(ymin = lwr, ymax = upr), width = 0.2) +
labs(
title = "Tukey HSD Test Results for Shannon Diversity",
x = "ELT Comparison",
y = "Pairwise Difference in Mean"
)
shannon_Tukey_plot_result

shannon_Tukey_plot_result_meandiff<-shannon_Tukey_plot_result +
theme(axis.text.x = element_text(angle = 45, hjust = 1)) +
geom_hline(yintercept=0, linetype="dashed", color = "red")
shannon_Tukey_plot_result_meandiff

simpson_Tukey_plot_result<-ggplot(simpson_Tukey_plot, aes(x = comparison, y = diff)) +
geom_point() +
geom_errorbar(aes(ymin = lwr, ymax = upr), width = 0.2) +
labs(
title = "Tukey HSD Test Results for Simpson Diversity",
x = "ELT Comparison",
y = "Pairwise Difference in Mean"
)
simpson_Tukey_plot_result

simpson_Tukey_plot_result_meandiff<-simpson_Tukey_plot_result +
theme(axis.text.x = element_text(angle = 45, hjust = 1)) +
geom_hline(yintercept=0, linetype="dashed", color = "red")
simpson_Tukey_plot_result_meandiff

inv.simpson_Tukey_plot_result<-ggplot(inv.simpson_Tukey_plot, aes(x = comparison, y = diff)) +
geom_point() +
geom_errorbar(aes(ymin = lwr, ymax = upr), width = 0.2) +
labs(
title = "Tukey HSD Test Results for inv.Simpson Diversity",
x = "ELT Comparison",
y = "Pairwise Difference in Mean"
)
inv.simpson_Tukey_plot_result

inv.simpson_Tukey_plot_result_meandiff<-inv.simpson_Tukey_plot_result +
theme(axis.text.x = element_text(angle = 45, hjust = 1)) +
geom_hline(yintercept=0, linetype="dashed", color = "red")
inv.simpson_Tukey_plot_result_meandiff

fish.alp_Tukey_plot_result<-ggplot(fish.alp_Tukey_plot, aes(x = comparison, y = diff)) +
geom_point() +
geom_errorbar(aes(ymin = lwr, ymax = upr), width = 0.2) +
labs(
title = "Tukey HSD Test Results for fish alpha Diversity",
x = "ELT Comparison",
y = "Pairwise Difference in Mean"
)
fish.alp_Tukey_plot_result

fish.alp_Tukey_plot_result_meandiff<-fish.alp_Tukey_plot_result +
theme(axis.text.x = element_text(angle = 45, hjust = 1)) +
geom_hline(yintercept=0, linetype="dashed", color = "red")
fish.alp_Tukey_plot_result_meandiff

grid.arrange(shannon_Tukey_plot_result_meandiff,Shanon.ELT,nrow=1, ncol=2)

grid.arrange(simpson_Tukey_plot_result_meandiff,Simp.ELT,nrow=1, ncol=2)

grid.arrange(inv.simpson_Tukey_plot_result_meandiff,InvSimp.ELT,nrow=1, ncol=2)

grid.arrange(fish.alp_Tukey_plot_result_meandiff,Fish.ELT,nrow=1, ncol=2)

---
title: "R Group 7"
output: html_notebook
---

```{r}
library(vegan)
```

```{r}
bird_Ohio
```

```{r}
ncol(bird_Ohio)
```

```{r}
sp.rich<-specnumber(bird_Ohio, MARGIN=1)
as.data.frame(sp.rich)
```

```{r}
sp.even<-specnumber(bird_Ohio,MARGIN=2)
as.data.frame(sp.even)
```

```{r}
shannon<-diversity(bird_Ohio, index = "shannon")
shannon
```

```{r}
simpson<-diversity(bird_Ohio, index = "simpson")
simpson
```

```{r}
inv.simpson<-diversity(bird_Ohio, index = "invsimpson")
inv.simpson
```

```{r}
fish.alp<-fisher.alpha(bird_Ohio)
fish.alp
```

```{r}
Div.Ind<-cbind.data.frame(shannon, simpson, inv.simpson,fish.alp)
Div.Ind
```

```{r}
summary(Div.Ind)
```

```{r}
env_Ohio
```

```{r}
Ohio.env.Div<-cbind.data.frame(env_Ohio, Div.Ind)
Ohio.env.Div
```

```{r}
library("rstatix")
```

```{r}
Ohio.env.Div %>%
  group_by(ELT) %>%
  get_summary_stats(shannon, type = "mean_sd")
```

```{r}
Ohio.env.Div %>%
  group_by(ELT) %>%
  get_summary_stats(simpson, type = "mean_sd")
```

```{r}
Ohio.env.Div %>%
  group_by(ELT) %>%
  get_summary_stats(inv.simpson, type = "mean_sd")
```

```{r}
Ohio.env.Div %>%
  group_by(ELT) %>%
  get_summary_stats(fish.alp, type = "mean_sd")
```

```{r}
Shanon.ELT<-ggplot(Ohio.env.Div, aes(x = ELT, y = shannon, fill = ELT)) +
  geom_boxplot() + 
  stat_summary(fun = mean, geom = "point", shape =21, size = 3, colour = "black", fill="yellow")

Simp.ELT<-ggplot(Ohio.env.Div, aes(x = ELT, y = simpson, fill = ELT)) +
  geom_boxplot() +
  stat_summary(fun = mean, geom = "point", shape =21, size = 3, colour = "black", fill="yellow")

InvSimp.ELT<-ggplot(Ohio.env.Div, aes(x = ELT, y = inv.simpson, fill = ELT)) +
  geom_boxplot()  + 
  stat_summary(fun = mean, geom = "point", shape =21, size = 3, colour = "black", fill="yellow")

Fish.ELT<-ggplot(Ohio.env.Div, aes(x = ELT, y = fish.alp, fill = ELT)) +
  geom_boxplot()  + 
  stat_summary(fun = mean, geom = "point", shape =21, size = 3, colour = "black", fill="yellow")
```

```{r}
grid.arrange(Shanon.ELT, Simp.ELT, InvSimp.ELT, Fish.ELT,
             nrow=2, ncol=2)
```

```{r}
grid.arrange(Shanon.ELT, Simp.ELT, InvSimp.ELT, Fish.ELT, nrow=2, ncol=2)
```

```{r}
shannon_aov <- aov(Ohio.env.Div$shannon ~ Ohio.env.Div$ELT)

summary(shannon_aov)
```

```{r}
simpson_aov <- aov(Ohio.env.Div$simpson ~ Ohio.env.Div$ELT)

summary(simpson_aov)
```

```{r}
inv.simpson_aov <- aov(Ohio.env.Div$inv.simpson ~ Ohio.env.Div$ELT)

summary(inv.simpson_aov)
```

```{r}
fish.alp_aov <- aov(Ohio.env.Div$fish.alp ~ Ohio.env.Div$ELT)

summary(fish.alp_aov)
```

```{r}
distance_matrix<-vegdist(Ohio.env.Div[,9:9], method="bray", binary=FALSE)
```

```{r}
adonis2(distance_matrix ~ ELT, data=Ohio.env.Div)
```

```{r}
shannon_Tukey<-TukeyHSD(shannon_aov, conf.level=.95, ordered = TRUE)
shannon_Tukey
```

```{r}
simpson_Tukey<-TukeyHSD(simpson_aov, conf.level=.95, ordered = TRUE)
simpson_Tukey
```

```{r}
inv.simpson_Tukey<-TukeyHSD(inv.simpson_aov, conf.level=.95, ordered = TRUE)
inv.simpson_Tukey
```

```{r}
fish.alp_Tukey<-TukeyHSD(fish.alp_aov, conf.level=.95, ordered = TRUE)
fish.alp_Tukey
```

```{r}
shannon_Tukey_plot <- as.data.frame(shannon_Tukey$`Ohio.env.Div$ELT`)

shannon_Tukey_plot$comparison <- rownames(shannon_Tukey_plot)

shannon_Tukey_plot
```

```{r}
simpson_Tukey_plot <- as.data.frame(simpson_Tukey$`Ohio.env.Div$ELT`)

simpson_Tukey_plot$comparison <- rownames(simpson_Tukey_plot)

simpson_Tukey_plot
```

```{r}
inv.simpson_Tukey_plot <- as.data.frame(inv.simpson_Tukey$`Ohio.env.Div$ELT`)

inv.simpson_Tukey_plot$comparison <- rownames(inv.simpson_Tukey_plot)

inv.simpson_Tukey_plot
```

```{r}
fish.alp_Tukey_plot <- as.data.frame(fish.alp_Tukey$`Ohio.env.Div$ELT`)

fish.alp_Tukey_plot$comparison <- rownames(fish.alp_Tukey_plot)

fish.alp_Tukey_plot
```

```{r}
shannon_Tukey_plot_result<-ggplot(shannon_Tukey_plot, aes(x = comparison, y = diff)) +
  geom_point() +
  geom_errorbar(aes(ymin = lwr, ymax = upr), width = 0.2) +
  labs(
    title = "Tukey HSD Test Results for Shannon Diversity",
    x = "ELT Comparison",
    y = "Pairwise Difference in Mean"
  )

shannon_Tukey_plot_result
```

```{r}
shannon_Tukey_plot_result_meandiff<-shannon_Tukey_plot_result + 
  theme(axis.text.x = element_text(angle = 45, hjust = 1)) + 
  geom_hline(yintercept=0, linetype="dashed", color = "red")

shannon_Tukey_plot_result_meandiff
```

```{r}
simpson_Tukey_plot_result<-ggplot(simpson_Tukey_plot, aes(x = comparison, y = diff)) +
  geom_point() +
  geom_errorbar(aes(ymin = lwr, ymax = upr), width = 0.2) +
  labs(
    title = "Tukey HSD Test Results for Simpson Diversity",
    x = "ELT Comparison",
    y = "Pairwise Difference in Mean"
  )

simpson_Tukey_plot_result
```

```{r}
simpson_Tukey_plot_result_meandiff<-simpson_Tukey_plot_result + 
  theme(axis.text.x = element_text(angle = 45, hjust = 1)) + 
  geom_hline(yintercept=0, linetype="dashed", color = "red")

simpson_Tukey_plot_result_meandiff
```

```{r}
inv.simpson_Tukey_plot_result<-ggplot(inv.simpson_Tukey_plot, aes(x = comparison, y = diff)) +
  geom_point() +
  geom_errorbar(aes(ymin = lwr, ymax = upr), width = 0.2) +
  labs(
    title = "Tukey HSD Test Results for inv.Simpson Diversity",
    x = "ELT Comparison",
    y = "Pairwise Difference in Mean"
  )

inv.simpson_Tukey_plot_result
```

```{r}
inv.simpson_Tukey_plot_result_meandiff<-inv.simpson_Tukey_plot_result + 
  theme(axis.text.x = element_text(angle = 45, hjust = 1)) + 
  geom_hline(yintercept=0, linetype="dashed", color = "red")

inv.simpson_Tukey_plot_result_meandiff
```

```{r}
fish.alp_Tukey_plot_result<-ggplot(fish.alp_Tukey_plot, aes(x = comparison, y = diff)) +
  geom_point() +
  geom_errorbar(aes(ymin = lwr, ymax = upr), width = 0.2) +
  labs(
    title = "Tukey HSD Test Results for fish alpha Diversity",
    x = "ELT Comparison",
    y = "Pairwise Difference in Mean"
  )

fish.alp_Tukey_plot_result
```

```{r}
fish.alp_Tukey_plot_result_meandiff<-fish.alp_Tukey_plot_result + 
  theme(axis.text.x = element_text(angle = 45, hjust = 1)) + 
  geom_hline(yintercept=0, linetype="dashed", color = "red")

fish.alp_Tukey_plot_result_meandiff
```

```{r}
grid.arrange(shannon_Tukey_plot_result_meandiff,Shanon.ELT,nrow=1, ncol=2)
```

```{r}
grid.arrange(simpson_Tukey_plot_result_meandiff,Simp.ELT,nrow=1, ncol=2)
```

```{r}
grid.arrange(inv.simpson_Tukey_plot_result_meandiff,InvSimp.ELT,nrow=1, ncol=2)
```

```{r}
grid.arrange(fish.alp_Tukey_plot_result_meandiff,Fish.ELT,nrow=1, ncol=2)
```
