| Control | ||||||||||||||||||
| Sample | Cypris | Naupilius | Zoea | Copepods | Cladocera | Egg sacks/ eggs | Thrashing Swimmers | Mites | Mollosk | Sponge Spicules | Bryozoans | Total Count | ||||||
| 2 | 3 | 0 | 2 | 6 | 1 | 0 | 8 | 3 | 1 | 1 | 2 | 27 | ||||||
| 4 | 2 | 1 | 1 | 7 | 2 | 1 | 12 | 4 | 5 | 0 | 1 | 36 | ||||||
| 6 | 2 | 0 | 1 | 5 | 0 | 1 | 7 | 1 | 4 | 0 | 0 | 21 | ||||||
| 8 | 3 | 0 | 0 | 12 | 1 | 0 | 10 | 6 | 7 | 0 | 0 | 39 | ||||||
| mean | 2.5 | 0.25 | 1 | 7.5 | 1 | 0.5 | 9.25 | 3.5 | 4.25 | 0.25 | 0.75 | 30.75 | ||||||
| std | 0.57735 | 0.5 | 0.816497 | 3.109126 | 0.816497 | 0.57735 | 2.217356 | 2.081666 | 2.5 | 0.5 | 0.957427 | 8.261356 | ||||||
| Pi | 0.08130081 | 0.00813008 | 0.03252033 | 0.24390244 | 0.03252033 | 0.01626016 | 0.30081301 | 0.11382114 | 0.13821138 | 0.00813008 | 0.02439024 | 1 | ||||||
| log2Pi | -3.62058641 | -6.94251451 | -4.94251451 | -2.03562391 | -4.94251451 | -5.94251451 | -1.73306114 | -3.13515958 | -2.85505166 | -6.94251451 | -5.357552 | |||||||
| Pi*log2PI | -0.29435662 | -0.05644321 | -0.16073218 | -0.49649364 | -0.16073218 | -0.09662625 | -0.52132733 | -0.35684743 | -0.39460064 | -0.05644321 | -0.130672 | 2.72527468 | = H | Uncertainty of similarity (increases as becomes less predictable) | ||||
| H max | -0.20403246 | -0.03912345 | -0.11141106 | -0.34414316 | -0.11141106 | -0.06697621 | -0.36135657 | -0.24734779 | -0.27351632 | -0.03912345 | -0.09057493 | 0.78778105 | = J | evenness (higher evenness, more diverse) | ||||
| Simpson's | 3.75 | -0.1875 | 0 | 48.75 | 0 | -0.25 | 76.3125 | 8.75 | 13.8125 | -0.1875 | -0.1875 | 0.16458291 | = Simpson's | probability of two similar individuals | ||||
| 6.07596513 | reciprocal | higher reciprocal, higher diversity | ||||||||||||||||
| Fertilized | ||||||||||||||||||
| Sample | Naupilius Barnacle | Cypris | Zoea | Copepods | Cladocera | Egg sacks/ eggs | Thrashing Swimmers | Mites | Mollosk | Sponge Spicules | Bryozoans | Total Count | ||||||
| 1 | 0 | 3 | 2 | 4 | 0 | 1 | 7 | 0 | 2 | 1 | 2 | 22 | ||||||
| 3 | 0 | 1 | 2 | 5 | 0 | 0 | 6 | 0 | 1 | 0 | 0 | 15 | ||||||
| 5 | 0 | 1 | 0 | 10 | 1 | 0 | 11 | 1 | 3 | 0 | 0 | 27 | ||||||
| 7 | 0 | 2 | 2 | 8 | 0 | 0 | 10 | 0 | 5 | 0 | 1 | 28 | ||||||
| Mean | 0 | 1.75 | 1.5 | 6.75 | 0.25 | 0.25 | 8.5 | 0.25 | 2.75 | 0.25 | 0.75 | 23 | ||||||
| STD | 0 | 0.957427 | 1 | 2.753785 | 0.5 | 0.5 | 2.380476 | 0.5 | 1.707825 | 0.5 | 0.957427 | 5.944185 | ||||||
| Pi | 0 | 0.07608696 | 0.06521739 | 0.29347826 | 0.01086957 | 0.01086957 | 0.36956522 | 0.01086957 | 0.11956522 | 0.01086957 | 0.0326087 | 1 | ||||||
| log2Pi | -3.71620703 | -3.93859946 | -1.76867445 | -6.52356196 | -6.52356196 | -1.43609911 | -6.52356196 | -3.06413034 | -6.52356196 | -4.93859946 | ||||||||
| Pi*log2PI | -0.28275488 | -0.25686518 | -0.5190675 | -0.07090828 | -0.07090828 | -0.53073228 | -0.07090828 | -0.36636341 | -0.07090828 | -0.16104129 | 2.40045767 | = H | Uncertainty of similarity (increases as becomes less predictable) | |||||
| H max | -0.19599075 | -0.17804538 | -0.35979018 | -0.04914988 | -0.04914988 | -0.36787558 | -0.04914988 | -0.25394376 | -0.04914988 | -0.11162531 | 0.72260976 | = J | evenness (higher evenness, more diverse) | |||||
| Simpson's | 0 | 1.3125 | 0.75 | 38.8125 | -0.1875 | -0.1875 | 63.75 | -0.1875 | 4.8125 | -0.1875 | -0.1875 | 0.21442688 | = Simpson's | probability of two similar individuals | ||||
| 4.66359447 | reciprocal | higher reciprocal, higher diversity | ||||||||||||||||
| Brillouin Index | ||||||||||||||||||
| Control | ||||||||||||||||||
| Sample | Cypris | Naupilius | Zoea | Copepods | Cladocera | Egg sacks/ eggs | Thrashing Swimmers | Mites | Mollosk | Sponge Spicules | Bryozoans | Total Count | ||||||
| 2 | 3 | 0 | 2 | 6 | 1 | 0 | 8 | 3 | 1 | 1 | 2 | 27 | ||||||
| 4 | 2 | 1 | 1 | 7 | 2 | 1 | 12 | 4 | 5 | 0 | 1 | 36 | ||||||
| 6 | 2 | 0 | 1 | 5 | 0 | 1 | 7 | 1 | 4 | 0 | 0 | 21 | ||||||
| 8 | 3 | 0 | 0 | 12 | 1 | 0 | 10 | 6 | 7 | 0 | 0 | 39 | ||||||
| mean | 2.5 | 0.25 | 1 | 7.5 | 1 | 0.5 | 9.25 | 3.5 | 4.25 | 0.25 | 0.75 | 30.75 | ||||||
| std | 0.57735 | 0.5 | 0.816497 | 3.109126 | 0.816497 | 0.57735 | 2.217356 | 2.081666 | 2.5 | 0.5 | 0.957427 | 8.261356 | ||||||
| Fertilized | ||||||||||||||||||
| Sample | Naupilius Barnacle | Cypris | Zoea | Copepods | Cladocera | Egg sacks/ eggs | Thrashing Swimmers | Mites | Mollosk | Sponge Spicules | Bryozoans | Total Count | ||||||
| 1 | 0 | 3 | 2 | 4 | 0 | 1 | 7 | 0 | 2 | 1 | 2 | 22 | ||||||
| 3 | 0 | 1 | 2 | 5 | 0 | 0 | 6 | 0 | 1 | 0 | 0 | 15 | ||||||
| 5 | 0 | 1 | 0 | 10 | 1 | 0 | 11 | 1 | 3 | 0 | 0 | 27 | ||||||
| 7 | 0 | 2 | 2 | 8 | 0 | 0 | 10 | 0 | 5 | 0 | 1 | 28 | ||||||
| Mean | 0 | 1.75 | 1.5 | 6.75 | 0.25 | 0.25 | 8.5 | 0.25 | 2.75 | 0.25 | 0.75 | 23 | ||||||
| STD | 0 | 0.957427 | 1 | 2.753785 | 0.5 | 0.5 | 2.380476 | 0.5 | 1.707825 | 0.5 | 0.957427 | 5.944185 | ||||||
| control | fertilized | |||||||||||||||||
| Abundance ranklog number of individuals | abundance | |||||||||||||||||
| Thrashing | 1 | -0.52170339 | -0.43230891 | 1 | ||||||||||||||
| Copepods | 2 | -0.61278386 | -0.53242406 | 2 | ||||||||||||||
| Mollosk | 3 | -0.85945619 | -0.92239514 | 3 | ||||||||||||||
| Mites | 4 | -0.94377708 | -1.96378783 | 7 | ||||||||||||||
| Cypris | 5 | -1.08990511 | -1.11868979 | 4 | ||||||||||||||
| Zoea | 6 | -1.48784512 | -1.18563658 | 5 | ||||||||||||||
| Cladocera | 6 | -1.48784512 | -1.96378783 | 7 | ||||||||||||||
| Bryozoans | 7 | -1.61278386 | -1.48666657 | 6 | ||||||||||||||
| Egg/sack | 8 | -1.78887512 | -1.96378783 | 7 | ||||||||||||||
| Naupilius | 9 | -2.08990511 | #NUM! | 8 | ||||||||||||||
| Spicules | 9 | -2.08990511 | -1.96378783 | 7 | ||||||||||||||
| Comparing beta diversity (between habitats/communities) | ||||||||||||||||||
| Sneath and Sokal, 1973 | ||||||||||||||||||
| Index of dissimilarity | ||||||||||||||||||
| I | Control | Enriched | C-E | C+E | (C-E/C+E)^2 | C*E | Ci*log(Ci) | Ei*LOG(Ei) | C+E*log(C+E) | |||||||||
| Cypris | 2.5 | 1.75 | 0.75 | 4.25 | 0.03114187 | 4.375 | 0.99485002 | 0.42531659 | 2.67065295 | |||||||||
| Naupilius | 0.25 | 0 | 0.25 | 0.25 | 1 | 0 | -0.150515 | #NUM! | -0.150515 | |||||||||
| Zoea | 1 | 1.5 | -0.5 | 2.5 | 0.04 | 1.5 | 0 | 0.26413689 | 0.99485002 | |||||||||
| Copepods | 7.5 | 6.75 | 0.75 | 14.25 | 0.00277008 | 50.625 | 6.56295948 | 5.59780047 | 16.4418618 | |||||||||
| Cladocera | 1 | 0.25 | 0.75 | 1.25 | 0.36 | 0.25 | 0 | -0.150515 | 0.12113752 | |||||||||
| Egg | 0.5 | 0.25 | 0.25 | 0.75 | 0.11111111 | 0.125 | -0.150515 | -0.150515 | -0.09370405 | |||||||||
| Thrashing | 9.25 | 8.5 | 0.75 | 17.75 | 0.00178536 | 78.625 | 8.93681103 | 7.90006087 | 22.1732708 | |||||||||
| Mites | 3.5 | 0.25 | 3.25 | 3.75 | 0.75111111 | 0.875 | 1.90423816 | -0.150515 | 2.15261725 | |||||||||
| Mollosk | 4.25 | 2.75 | 1.5 | 7 | 0.04591837 | 11.6875 | 2.67065295 | 1.20816491 | 5.91568628 | |||||||||
| Spicules | 0.25 | 0.25 | 0 | 0.5 | 0 | 0.0625 | -0.150515 | -0.150515 | -0.150515 | |||||||||
| Bryozoa | 0.75 | 0.75 | 0 | 1.5 | 0 | 0.5625 | -0.09370405 | -0.09370405 | 0.26413689 | |||||||||
| totals | S | 11 | 10 | SQRT(Sum/S) | 0.46160175 | 148.6875 | 20.5242626 | 14.6997157 | 50.3394795 | |||||||||
| N | 30.75 | 23 | ||||||||||||||||
| N2 | 53.75 | 0 | identical | |||||||||||||||
| 1 | completely dissimilar | |||||||||||||||||
| Index of community similarity | ||||||||||||||||||
| 2(SUM Ci*Ei)/ | Horn, 1966, Morisita, 1959 | |||||||||||||||||
| (Simpson's C+Simpson's E)NCNE | ||||||||||||||||||
| 1.10938191 | ||||||||||||||||||
| 0 | not alike | |||||||||||||||||
| 1 | identical | |||||||||||||||||
| Information-Theoretic Index | ||||||||||||||||||
| Horn 1966 | ||||||||||||||||||
| H'C | 0.82038943 | |||||||||||||||||
| H'E | 0.72260976 | |||||||||||||||||
| H'3 | 0.79383001 | if low compared to HC and HE, shows similarity, if high shows dissimilarity | ||||||||||||||||
| H'4 | 1.07504864 | |||||||||||||||||
| H'5 | 0.77854883 | Minimum H obtainable with max overlap of Ci and Ei values | ||||||||||||||||
| Horn's index of community overlap | ||||||||||||||||||
| Ro | 0.9484614 | 0 | Compositions and relative abundances different | |||||||||||||||
| 1 | " " same | |||||||||||||||||