Du_Alemseged <- read.csv("C:/Users/kelse/OneDrive/Documents/Research Design Analysis/Files to Import/DuAlemseged_2018.csv", row.names = 1)
Du_Alemseged_transposed <- t(Du_Alemseged)
head(Du_Alemseged_transposed)
##            Acinonyx sp Aepyceros melampus Aepyceros shungurae
## Lonyumun             0                  0                   0
## Moiti                0                  0                   3
## Lokochot             0                  0                  16
## TuluBor              0                  0                   6
## upperBurgi           1                 32                   0
## KBS                  2                 69                   0
##            aff.Hippopotamus aethiopicus aff.Hippopotamus karumensis
## Lonyumun                              0                           0
## Moiti                                 0                           0
## Lokochot                              0                           0
## TuluBor                               0                           0
## upperBurgi                            4                          37
## KBS                                  34                          49
##            aff.Hippopotamus protamphibius Agriotherium sp. Antidorcas recki
## Lonyumun                                4                0                0
## Moiti                                   1                0                0
## Lokochot                                8                0                0
## TuluBor                                16                1                3
## upperBurgi                              0                0               15
## KBS                                     1                0               51
##            Aonyx sp. Australopithecus afarensis Australopithecus anamensis
## Lonyumun           0                          0                         23
## Moiti              0                          0                          1
## Lokochot           0                          0                          0
## TuluBor            0                          1                          0
## upperBurgi         0                          0                          0
## KBS                1                          0                          0
##            Beatragus antiquus Beatragus hunteri Camelus grattardi
## Lonyumun                    0                 0                 0
## Moiti                       0                 0                 0
## Lokochot                    0                 0                 0
## TuluBor                     0                 0                 4
## upperBurgi                  2                 0                 0
## KBS                         7                 0                 0
##            Caracal/Leptailurus sp. Cephalophus sp.
## Lonyumun                         0               0
## Moiti                            0               0
## Lokochot                         0               0
## TuluBor                          4               0
## upperBurgi                       0               0
## KBS                              0               1
##            Ceratotherium mauritanicum/simum Cercocebus sp.
## Lonyumun                                  0              0
## Moiti                                     0              0
## Lokochot                                  0              0
## TuluBor                                   0              0
## upperBurgi                                8              0
## KBS                                      21              4
##            Cercopithecoides kimeui Cercopithecoides williamsi Cercopithecus sp.
## Lonyumun                         0                          0                 0
## Moiti                            0                          0                 0
## Lokochot                         1                          0                 0
## TuluBor                          1                          1                 1
## upperBurgi                       7                          8                 0
## KBS                              6                          0                 3
##            Chasmaporthetes sp. Civettictis sp. Colobus freedmani
## Lonyumun                     1               0                 0
## Moiti                        0               0                 0
## Lokochot                     0               0                 0
## TuluBor                      0               0                 0
## upperBurgi                   0               4                 1
## KBS                          0               0                 2
##            Connochaetes gentryi Crocuta dietrichi Crocuta eturono Crocuta ultra
## Lonyumun                      0                 0               0             0
## Moiti                         0                 0               0             0
## Lokochot                      7                 1               0             1
## TuluBor                       0                 0               1             0
## upperBurgi                   13                 6               0             4
## KBS                          16                 1               1            10
##            Damaliscus eppsi Damaliscus niro Damaliscus sp nov
## Lonyumun                  0               0                 0
## Moiti                     0               0                 0
## Lokochot                  0               0                 0
## TuluBor                   1               0                 0
## upperBurgi                3               0                 0
## KBS                      66               3                 0
##            Deinotherium bozasi Diceros bicornis Dinofelis aronoki
## Lonyumun                     0                0                 0
## Moiti                        0                0                 0
## Lokochot                     2                0                 0
## TuluBor                      7                0                 0
## upperBurgi                  12                1                10
## KBS                         13                8                 1
##            Dinofelis petteri Dinofelis piveteaui Elephas recki
## Lonyumun                   0                   0             0
## Moiti                      1                   0             0
## Lokochot                   0                   0             0
## TuluBor                    1                   0            13
## upperBurgi                 0                   0            39
## KBS                        0                   0            38
##            Enhydriodon afman Equus quagga Equus grevyi Equus koobiforensis
## Lonyumun                   1            0            0                   0
## Moiti                      0            0            0                   0
## Lokochot                   1            0            0                   0
## TuluBor                    2            0            0                   0
## upperBurgi                 1            0            0                  40
## KBS                        0            0            0                  25
##            Equus tabeti Eurygnathohippus cornelianus
## Lonyumun              0                            0
## Moiti                 0                            0
## Lokochot              0                            0
## TuluBor               0                            0
## upperBurgi            0                            1
## KBS                   2                            2
##            Eurygnathohippus ethiopicum Eurygnathohippus hasumense
## Lonyumun                             0                          0
## Moiti                                0                          0
## Lokochot                             0                          2
## TuluBor                              1                         12
## upperBurgi                          21                          1
## KBS                                 24                          0
##            Gazella granti Gazella janenschi Gazella praethomsoni
## Lonyumun                0                 0                    0
## Moiti                   0                 0                    0
## Lokochot                0                 0                    4
## TuluBor                 0                 0                    4
## upperBurgi              0                 4                   21
## KBS                     1                 5                   11
##            Genetta genetta/maculata Genetta nyakitongwer Giraffa jumae
## Lonyumun                          0                    0             0
## Moiti                             0                    0             0
## Lokochot                          0                    0             1
## TuluBor                           0                    0             2
## upperBurgi                        2                    0             2
## KBS                               0                    1             8
##            Giraffa pygmaea Giraffa stillei-gracilis Hippopotamus gorgops
## Lonyumun                 1                        0                    0
## Moiti                    0                        0                    0
## Lokochot                 4                        3                    0
## TuluBor                  1                        1                    0
## upperBurgi               8                       10                    6
## KBS                     21                       18                   17
##            Hippotragus gigas Homo erectus Homo habilis Homo rudolfensis
## Lonyumun                   0            0            0                0
## Moiti                      0            0            0                0
## Lokochot                   0            0            0                0
## TuluBor                    0            0            0                0
## upperBurgi                 3            3            4                1
## KBS                        3            6            2                0
##            Homotherium sp. Hyaena hyaena Hydrictis gudho Ictonyx sp.
## Lonyumun                10             0               0           0
## Moiti                    0             0               0           0
## Lokochot                 0             0               0           0
## TuluBor                  1             0               0           0
## upperBurgi              18             2               1           1
## KBS                      8             3               0           0
##            Kobus ancystrocera Kobus ellipsiprymnus Kobus kob Kobus leche
## Lonyumun                    0                    0         0           0
## Moiti                       0                    0         0           0
## Lokochot                    0                    0         1           0
## TuluBor                     9                    0         5           0
## upperBurgi                  8                    9        14           3
## KBS                        43                    4        32          15
##            Kobus oricornus Kobus sigmoidalis Kolpochoerus limnetes
## Lonyumun                 0                 0                     0
## Moiti                    1                 2                     0
## Lokochot                 6                 2                     2
## TuluBor                 31                13                     7
## upperBurgi               0               128                   236
## KBS                      0                81                   159
##            Lophocebus sp. Loxodonta adaurora Loxodonta exoptata Lupulella sp.
## Lonyumun                0                  0                  0             0
## Moiti                   0                  0                  0             0
## Lokochot                0                  0                  0             1
## TuluBor                 0                  0                  4             0
## upperBurgi              1                  6                  0             5
## KBS                     2                  0                  0             2
##            Lutrinae gen nov sp nov Madoqua sp. Megalotragus isaaci
## Lonyumun                         0           0                   0
## Moiti                            0           0                   0
## Lokochot                         0           0                   0
## TuluBor                          0           0                   0
## upperBurgi                       1           0                  35
## KBS                              0           1                  34
##            Megantereon sp. Megantereon whitei Mellivora sp. Menelikia leakeyi
## Lonyumun                 0                  0             0                 0
## Moiti                    0                  0             0                13
## Lokochot                 0                  0             0                 0
## TuluBor                  0                  0             0                13
## upperBurgi               1                  0             1                 0
## KBS                      2                  0             0                 0
##            Menelikia lyrocera Metridiochoerus andrewsi
## Lonyumun                    0                        0
## Moiti                       0                        0
## Lokochot                    0                        1
## TuluBor                     0                        0
## upperBurgi                 31                       93
## KBS                        81                      230
##            Metridiochoerus compactus Metridiochoerus hopwoodi
## Lonyumun                           0                        0
## Moiti                              0                        0
## Lokochot                           0                        0
## TuluBor                            0                        0
## upperBurgi                         0                        3
## KBS                               14                       29
##            Metridiochoerus modestus Neotragus sp. Notochoerus euilus/scotti
## Lonyumun                          0             0                         0
## Moiti                             0             0                         0
## Lokochot                          0             0                         4
## TuluBor                           0             0                        41
## upperBurgi                        5             0                       124
## KBS                               7             0                         6
##            Nyanzachoerus kanamensis Orycteropus sp. Oryx sp. Panthera leo
## Lonyumun                          1               0        0            0
## Moiti                             0               0        0            0
## Lokochot                          1               0        0            0
## TuluBor                           3               0        0            0
## upperBurgi                        0               0        2            4
## KBS                               0               0       11            0
##            Panthera pardus Papio sp. Paracolobus mutiwa Parahyaena sp.
## Lonyumun                 0         0                  0              0
## Moiti                    0         0                  0              0
## Lokochot                 0         0                  0              0
## TuluBor                  0         0                  0              0
## upperBurgi               4         1                  2              0
## KBS                      1         1                  0              0
##            Paranthropus boisei Parapapio ado Parmularius altidens
## Lonyumun                     0             0                    0
## Moiti                        0             0                    0
## Lokochot                     0             1                    0
## TuluBor                      0             1                    0
## upperBurgi                   6             0                    0
## KBS                         38             0                    1
##            Parmularius angusticornis Pelorovis oldowayensis
## Lonyumun                           0                      0
## Moiti                              0                      0
## Lokochot                           1                      0
## TuluBor                            1                      0
## upperBurgi                         0                      3
## KBS                                2                     12
##            Pelorovis turkanensis Phacochoerus sp. Plesiogulo sp.
## Lonyumun                       0                0              0
## Moiti                          0                0              0
## Lokochot                       0                0              0
## TuluBor                        0                0              1
## upperBurgi                     6                0              0
## KBS                           53                1              0
##            Pseudocivetta ingens Raphicerus sp. Redunca sp.
## Lonyumun                      0              0           0
## Moiti                         0              0           0
## Lokochot                      0              0           0
## TuluBor                       0              0           0
## upperBurgi                    2              0           1
## KBS                           3              4           0
##            Rhinocolobus turkanaensis Simatherium kohllarseni
## Lonyumun                           1                       0
## Moiti                              0                       0
## Lokochot                           0                       4
## TuluBor                            2                      24
## upperBurgi                        10                       0
## KBS                                1                       0
##            Sivatherium maurusium Theropithecus brumpti Theropithecus oswaldi
## Lonyumun                       0                     0                     0
## Moiti                          0                     0                     0
## Lokochot                       2                    10                     2
## TuluBor                        3                    39                     2
## upperBurgi                     8                     1                   261
## KBS                           35                     0                   105
##            Torolutra ougandensis Tragelaphus kyaloae Tragelaphus nakuae
## Lonyumun                       0                  14                  0
## Moiti                          0                   1                  0
## Lokochot                       0                   1                  0
## TuluBor                        0                   0                 27
## upperBurgi                     1                   0                 16
## KBS                            1                   0                  6
##            Tragelaphus rastafari Tragelaphus strepsiceros
## Lonyumun                       0                        0
## Moiti                          1                        0
## Lokochot                      17                        0
## TuluBor                        0                        0
## upperBurgi                     0                       37
## KBS                            0                       76

Question 1

a.

Du_Alspecies <- ncol(Du_Alemseged_transposed)
Du_Almembers <- nrow(Du_Alemseged_transposed)
Du_Alspecies
## [1] 116
Du_Almembers
## [1] 8

b.

sum_individuals_per_member <- rowSums(Du_Alemseged_transposed)
sum_individuals_per_member
##   Lonyumun      Moiti   Lokochot    TuluBor upperBurgi        KBS      Okote 
##         56         24        107        311       1426       1658        648 
##      Chari 
##         12

c. 

sum_species_abundance <- apply(Du_Alemseged_transposed, 2, sum)
sum_species_abundance
##                      Acinonyx sp               Aepyceros melampus 
##                                4                              105 
##              Aepyceros shungurae     aff.Hippopotamus aethiopicus 
##                               25                               60 
##      aff.Hippopotamus karumensis   aff.Hippopotamus protamphibius 
##                               99                               30 
##                 Agriotherium sp.                 Antidorcas recki 
##                                1                               73 
##                        Aonyx sp.       Australopithecus afarensis 
##                                1                                1 
##       Australopithecus anamensis               Beatragus antiquus 
##                               24                               12 
##                Beatragus hunteri                Camelus grattardi 
##                                1                                4 
##          Caracal/Leptailurus sp.                  Cephalophus sp. 
##                                4                                1 
## Ceratotherium mauritanicum/simum                   Cercocebus sp. 
##                               31                               49 
##          Cercopithecoides kimeui       Cercopithecoides williamsi 
##                               15                                9 
##                Cercopithecus sp.              Chasmaporthetes sp. 
##                                4                                1 
##                  Civettictis sp.                Colobus freedmani 
##                                5                               11 
##             Connochaetes gentryi                Crocuta dietrichi 
##                               42                                8 
##                  Crocuta eturono                    Crocuta ultra 
##                                2                               27 
##                 Damaliscus eppsi                  Damaliscus niro 
##                               78                                3 
##                Damaliscus sp nov              Deinotherium bozasi 
##                                1                               34 
##                 Diceros bicornis                Dinofelis aronoki 
##                                9                               11 
##                Dinofelis petteri              Dinofelis piveteaui 
##                                2                                9 
##                    Elephas recki                Enhydriodon afman 
##                              100                                5 
##                     Equus quagga                     Equus grevyi 
##                                1                                9 
##              Equus koobiforensis                     Equus tabeti 
##                               66                                6 
##     Eurygnathohippus cornelianus      Eurygnathohippus ethiopicum 
##                                3                               50 
##       Eurygnathohippus hasumense                   Gazella granti 
##                               16                                2 
##                Gazella janenschi             Gazella praethomsoni 
##                                9                               43 
##         Genetta genetta/maculata             Genetta nyakitongwer 
##                                4                                1 
##                    Giraffa jumae                  Giraffa pygmaea 
##                               15                               38 
##         Giraffa stillei-gracilis             Hippopotamus gorgops 
##                               33                               30 
##                Hippotragus gigas                     Homo erectus 
##                                6                               21 
##                     Homo habilis                 Homo rudolfensis 
##                                6                                1 
##                  Homotherium sp.                    Hyaena hyaena 
##                               38                                5 
##                  Hydrictis gudho                      Ictonyx sp. 
##                                1                                1 
##               Kobus ancystrocera             Kobus ellipsiprymnus 
##                               60                               13 
##                        Kobus kob                      Kobus leche 
##                              101                               19 
##                  Kobus oricornus                Kobus sigmoidalis 
##                               38                              229 
##            Kolpochoerus limnetes                   Lophocebus sp. 
##                              472                                3 
##               Loxodonta adaurora               Loxodonta exoptata 
##                                6                                4 
##                    Lupulella sp.          Lutrinae gen nov sp nov 
##                                8                                1 
##                      Madoqua sp.              Megalotragus isaaci 
##                                4                               77 
##                  Megantereon sp.               Megantereon whitei 
##                                4                                2 
##                    Mellivora sp.                Menelikia leakeyi 
##                                2                               26 
##               Menelikia lyrocera         Metridiochoerus andrewsi 
##                              114                              344 
##        Metridiochoerus compactus         Metridiochoerus hopwoodi 
##                               91                               47 
##         Metridiochoerus modestus                    Neotragus sp. 
##                               14                                1 
##        Notochoerus euilus/scotti         Nyanzachoerus kanamensis 
##                              175                                5 
##                  Orycteropus sp.                         Oryx sp. 
##                                2                               13 
##                     Panthera leo                  Panthera pardus 
##                               16                                5 
##                        Papio sp.               Paracolobus mutiwa 
##                                5                                2 
##                   Parahyaena sp.              Paranthropus boisei 
##                                1                               60 
##                    Parapapio ado             Parmularius altidens 
##                                2                                1 
##        Parmularius angusticornis           Pelorovis oldowayensis 
##                                4                               24 
##            Pelorovis turkanensis                 Phacochoerus sp. 
##                               69                                1 
##                   Plesiogulo sp.             Pseudocivetta ingens 
##                                1                                5 
##                   Raphicerus sp.                      Redunca sp. 
##                                4                                1 
##        Rhinocolobus turkanaensis          Simatherium kohllarseni 
##                               14                               28 
##            Sivatherium maurusium            Theropithecus brumpti 
##                               49                               50 
##            Theropithecus oswaldi            Torolutra ougandensis 
##                              500                                2 
##              Tragelaphus kyaloae               Tragelaphus nakuae 
##                               16                               51 
##            Tragelaphus rastafari         Tragelaphus strepsiceros 
##                               18                              132
hist(sum_species_abundance, 
     main = "Species' Abundances Summed Across All Geological Members", 
     xlab = "Species Abundance", 
     col = "green", 
     border = "black", 
     breaks = 10) 

Question 2

a.

rownames(Du_Alemseged_transposed)
## [1] "Lonyumun"   "Moiti"      "Lokochot"   "TuluBor"    "upperBurgi"
## [6] "KBS"        "Okote"      "Chari"
Du_Alemseged_transposed_clean <- Du_Alemseged_transposed[!(rownames(Du_Alemseged_transposed) == "Moiti" | rownames(Du_Alemseged_transposed) == "Chari"), ]
rownames(Du_Alemseged_transposed_clean)
## [1] "Lonyumun"   "Lokochot"   "TuluBor"    "upperBurgi" "KBS"       
## [6] "Okote"

b.

library(vegan)
## Warning: package 'vegan' was built under R version 4.4.2
## Loading required package: permute
## Warning: package 'permute' was built under R version 4.4.2
## Loading required package: lattice
## This is vegan 2.6-8
Du_Alemseged_transformed <- decostand(Du_Alemseged_transposed_clean, method = "total", na.rm = TRUE)

c. 

Du_Alemseged_transformed_max <- decostand(Du_Alemseged_transposed_clean, method = "max", na.rm = TRUE)

Question 3

a.

library(analogue)
## Warning: package 'analogue' was built under R version 4.4.2
## analogue version 0.17-7
bray_curtis_distance <- distance(Du_Alemseged_transformed_max, method = "bray", dist = TRUE)
bray_curtis_distance
##             Lonyumun  Lokochot   TuluBor upperBurgi       KBS
## Lokochot   0.8072691                                         
## TuluBor    0.9044055 0.6748145                               
## upperBurgi 0.9535535 0.9045310 0.8814380                     
## KBS        0.9794999 0.9231547 0.8883805  0.5131858          
## Okote      0.9939168 0.9477496 0.9554672  0.7413686 0.7117554

b.

# UpperBurgi and KBS 

Question 4

a.

library(MASS)

nmds_result <- isoMDS(bray_curtis_distance, k = 2)  
## initial  value 6.025396 
## iter   5 value 0.575968
## iter  10 value 0.047258
## iter  10 value 0.000000
## iter  10 value 0.000000
## final  value 0.000000 
## converged

b.

plot(nmds_result$points, 
     xlab = "NMDS Dimension 1", 
     ylab = "NMDS Dimension 2", 
     main = "NMDS Plot of Geological Members", 
     pch = 19, 
     col = "white")  

text(nmds_result$points, 
     labels = rownames(nmds_result$points), 
     cex = 0.8, 
     pos = 3,   
     col = "darkgreen", 
     xpd = TRUE)

# well xpd = true makes the text pop up above the plot and that is way more fun than fixing the axis limits to me right now. 

c. 

nmds_result$stress
## [1] 2.848668e-14

d. 

# Yes the ordination mresults match my answer from 3B. KBS and upperBurgi are the closest together. 

e.

# Lokochot and TuluBor are the most dissimilar to Okote because they are the futhest away. 

Question 5

a.

hclust_result <- hclust(bray_curtis_distance, method = "average")

b.

plot(hclust_result, hang = -1, 
     main = "UPGMA Cluster Analysis of Geological Members", 
     xlab = "Geological Members", 
     ylab = "Distance")

c. 

# Yes, my cluster analysis matches my 3B and 4E answers. 

d. 

# Okote, upperBurgi, and KBS are the most similar, as they cluster closely together. Lokochot and TuluBor are also more similar to each other, while Lonyumun is somewhat related to them but not as closely as the first group. The further apart the members are, the more dissimilar they are, with Okote and TuluBor being the most dissimilar from one another.