Filtration
Efficiency in Bivalves: effects of species and size in oysters and mussels
Juliet Cohen
Department of Ecology,
Evolution, and Marine Biology
University of California,
Santa Barbara
EAP Tropical Biology and
Conservation Program, Fall 2018
14 December 2018
ABSTRACT
Filter-feeding bivalves possess the
potential to naturally improve marine ecosystems suffering from an
overabundance of particulate organic matter and anthropogenic pollution through
their water filtration processes. However, differences in realized potentials related
to species identity and size are poorly understood. This project strives to (1)
analyze filtration rates as they correspond to species in Pteria sterna, Pinctada mazatlanica, and Semimytilus algosus, and
(2) determine the independent influence of soft tissue volume on this
phenomenon. I performed species-segregated filtration trials and analyzed the filtration
efficiency per unit volume of soft tissue. Pteria sterna filters the fastest when considering species identity, but Semimytilus algosus filters
most efficiently when considering water filtered per unit volume of soft tissue.
Species and size are interconnected and codetermine filtration efficiency; size
is the dominant factor regarding filtration, but species identity strongly
predicts size. Microscope analysis of algae and bryozoans
abundance before and after filtration trials implies that species differ in the
organic matter they primarily consume. Furthermore, filtration rate does not
increase linearly with larger group sizes, providing implications of social facilitation
among bivalves.
RESUMEN
Los bivalvos que se
alimentan por filtración tienen el potencial de mejorar naturalmente los
ecosistemas marinos que sufren de una sobreabundancia de materia orgánica particulada y contaminación antropogénica a través de sus
procesos de filtración de agua. Sin embargo, las diferencias en los potenciales
realizados relacionados con la identidad y el tamaño de las especies son poco
conocidas. Este proyecto se esfuerza por (1) analizar las tasas de filtración
que correspondan a las especies en Pteria sterna, Pinctada mazatlanica y Semimytilus algosus, y (2)
determinar la influencia independiente del volumen de tejidos blandos en este
fenómeno. Realicé ensayos de filtración segregados por especies y analicé la
eficiencia de filtrado por unidad de volumen de tejido blando. Pteria sterna filtra
más rápido cuando se considera la identidad de una especie, pero Semimytilus algosus
filtra más eficientemente cuando se considera agua filtrada por unidad de
volumen de tejido blando. Las especies y el tamaño están interconectados y
codifican la eficiencia de filtración; El tamaño es el factor dominante con
respecto a la filtración, pero la identidad de la especie predice el tamaño.
Además, el análisis microscópico de la abundancia de algas y briozoos antes y
después de los ensayos de filtración implica que las especies difieren en la
materia orgánica que consumen principalmente.
INTRODUCTION
Suspension feeder bivalves play an integral role in maintaining
the health of marine ecosystems through water filtration and nutrient cycling (Buschmann et al. 2008, Newell 2004). Marine bivalves filter
plankton, benthic algae, bryozoans, detritus, and other organic matter from
the water column, simultaneously decreasing turbidity and maintaining ecosystem
equilibrium (Gallardi 2014, Newell 2004). Decreasing
turbidity is necessary to allow ample light to penetrate the water column,
enabling organisms such as seagrasses and benthic microalgae to photosynthesize
(Newell 2004). Furthermore, nitrogen and phosphorus are found in high densities
in anthropogenically polluted water (Newell 2004). These mollusks sequester
nitrogen, phosphorus, and carbon, utilizing a portion of it for tissue growth
and depositing more into the sediment via their excrement (Gallardi
2014, Langdon et al. 1990, Newell 2004). Bivalves expel ammonia and undigested
remains in the form of mucus-bound feces and pseudofeces
that regenerate nitrogen and phytoplankton in moderation, stabilizing primary
production and maintaining their own food source (Filgueira
et al. 2015, Newell 2004). Additionally, their sequestration of carbon can aid
in moderating the detrimental effects of global warming as carbon levels in the
ocean are rising at an alarming rate (Hoegh-Guldberg et al. 2014). In these ways, bivalves
exhibit both top-down grazer control as well as bottom-up production in marine ecosystems
(Newell 2004).
Substantial data exists analyzing marine bivalve filtration processes
in certain species, specifically interspecific differences in filtration rates
and filtration-affiliated morphological characteristics (Ansell 1981, Kryger et al. 1988, Langdon et al. 1990). Langdon et al.
found that the ribbed mussel Geukensia demissa sequesters more carbon and bacteria than the
oyster Crassostrea virginica in a
freshwater system (1990). Additionally, interspecific differences in filtration
efficiency are affected by size, filtration rate, and gill particle retention
ability (Riisgard 1988, Sylvester et al. 2005).
However, these factors have largely been studied independently, resulting in a
gap in our knowledge regarding whether species or size plays a more important
role. Furthermore, the literature fails to emphasize the bivalve species most
likely to thrive at aquaculture sites where such research holds the most
relevant applications. A deeper understanding of bivalve filtration efficiency
can minimize environmental impact and maximize sustainability.
Bivalve polycultures naturally recruit in the same coastal
marine communities and aquaculture sites, resulting in ambiguity regarding
individualistic filtration capacity. Since these organisms have been shown to
greatly enhance the biotic conditions of their surrounding habitats, they demonstrate
their potential to assist in the recovery of ecosystems suffering from
anthropogenic pollution (Newell 2004, Strayer et al. 1999). Off-shore
aquaculture systems serve as a prime example of anthropogenic establishments in
need of ecological renovation in order to reach sustainability (Buschmann et al. 2008). The mariculture industry has
alleviated substantial fishing pressure placed on the oceans in recent decades
and is especially valuable for coastal communities that are economically
reliant on their fishing industry (Buschmann et al.
2008). However, if not carefully executed, this system has potential to raise
its own myriad of severe environmental consequences (Buschmann
et al. 2008). Congregations of fish in high densities in mariculture modules
produce a substantial amount of fish feces, detritus, bacteria, mercury, nitrogen,
phosphorus, and other organic accumulations that flow into local reefs
ecosystems, deeming them unsuitable for their inhabitants (Buschmann
et al. 2008). This anthropogenic nutrient over-enrichment leads to detrimental
shifts in primary production such as algal blooms, hypoxia, and red tides
(Newell 2004).
Large-scale mariculture establishments have attempted to
dilute such pollution with submarine blowers, siphon waste with remote-operated
vehicles, or collect it via accessories attached to the bottom of modules (Buschmann et al. 2008). However, these remedies are not
within the realm of accessibility for small mariculture sites with limited
resources. Therefore, more accessible organic environmental control is the key
to waste management for such establishments. Some small-scale aquaculture sites
actively recruit filter-feeding seaweed and young bivalves as biocontrol, but
not all have taken this kind of initiative (Buschmann
et al. 2008, Soto et al. 1999).The INMAR mariculture
site off the coast of Cuajiniquil is an example of an
establishment that has only minimally evaluated the present marine species and
possibilities to increase sustainability. Just as terrestrial farms utilize
animals as biocontrol of pests, mariculture benefits from the presence of
filter-feeders as natural waste management (Cardinale et al. 2003, Soto et al.
1999).
Oyster species Pteria sterna and Pinctada mazatlanica as well as mussel Semimytilus algosus can colonize together in large
magnitudes at mariculture sites, resulting in polycultures with unknown
segregations of filtering efficiencies. The objectives of this project include
(1) analyzing how filtration rates differ between Pinctada mazatlanica, Pteria
sterna, and Semimytilus algosus, and
(2) determining the influence of individual soft tissue volume on the
filtration rate. Analyzing these factors will allow me to determine whether
species or size is more influential regarding filtration. I predicted that Pinctada mazatlanica
filters the fastest and possesses the highest filtration rate per unit volume
of soft tissue since it is the largest in size.
MATERIALS AND METHODS
My data was collected and analyzed
at the INMAR mariculture site in Bahia Thomas off the coast of Cuajiniquil, Costa Rica from 16 November – 24 November, 2018. I completed ten trails with three species: Pteria sterna, Pinctada mazatlanica, and Semimytilus algosus.
Species were identified using a bivalve seashell guidebook (Coan
et al. 2012).
Turbidity Trials
I recorded filtration rates by measuring
the decrease in turbidity over time as each species independently filtered
water. With the assistance of the mariculture staff, I free dove at the
mariculture site to collect bivalves of each species, algae, and bryozoans from
the modules. Species were separated into respective white buckets with two conspecific
individuals per bucket (35 cm height, 30 cm diameter, 88 cm circumference) and
compared to a control bucket with no bivalves. I added 18 liters of water and
approximately 0.8 liters of algae to each bucket to increase the water
turbidity. This water quantity was determined by the quantity and depth
required to effectively measure the turbidity as a gradient. I used two
individuals per bucket to filter the water efficiently enough to complete ten
trials of the experiment.
To measure the turbidity of the water, I held a 15-centimeter
ruler parallel to the bucket bottom paired with an attached perpendicular measuring
tape that ran parallel to the bucket wall. This device served as a small-scale,
precise Secchi Disk. I lowered it into the water and recorded the deepest vertical
centimeter depth at which I could distinguish the horizontal millimeter lines.
I shaded the buckets to minimize water warming due to sunlight exposure and
consistently recorded turbidity measurements from the same angle to avoid
unequal light exposure from shadows of the bucket walls. I measured turbidity
at the start of the experiment to ensure that each bucket had the same
turbidity. If necessary, I added small quantities of algae to less-turbid
buckets to match the most turbid bucket. Additionally, I photographed the
buckets at the start and finish of each experiment.
Every 20 minutes, I measured the turbidity in each bucket. I
concluded the trial when all three bivalve buckets reached maximum clarity,
meaning I could differentiate the millimeter lines when the ruler rested at the
bottom of the bucket, or when two hours and 20 minutes passed.
Individual Dimensions and
Volume
I took size measurements of each
individual with measuring tape and water displacement. I recorded
vertical and horizontal circumferences, total volume (shell with soft tissue),
and soft tissue volume. I measured the volume of only the soft tissue as a
parameter because that is the anatomical part of the bivalve that filters. I
dissected and measured the soft tissue volume for six individuals of each
species and created species-specific ratios between soft tissue volume, the
circumferences, and total volume. Then I extrapolated the soft tissue volume of
every other conspecific.
Intraspecific Filtration Comparison
For two of the ten trails, I also observed filtration in two
extra buckets with four and six individuals, respectively, of Pinctada mazatlanica.
This allowed me to compare how a larger group size affects filtration rate,
specifically whether the rate increases linearly, logistically, exponentially,
or otherwise.
Microscope Analysis
For four of the ten trails, I took samples of water from
each bucket before and after the trial for microscope analysis. I briefly
stirred the water in the bucket to create a homogenous mixture and filtered 0.5
gallons through a plankton net (13 cm diameter, 38 cm length, 50 mL flask) to
concentrate the algae, plankton, and other contents. Using a compound
microscope, I conducted qualitative observations and quantitative analysis
viewing 25 drops per sample on a 400 square spot slide. I compared the percent coverage
of algae and bryozoans from samples before filtration to their respective
samples after filtration.
RESULTS
Pteria sterna filters faster than the other two species, and filters significantly
faster than Semimytilus algosus (Figure
1, ANOVA, F=4.20, p = 0.026, Tukey-Kramer, see Appendix 1). Pinctada mazatlanica
filters at an intermediate rate, and Semimytilus algosus filters the slowest (Figure 1).
Figure 1:
Average filtration rate of each species and the control at 20 minute intervals through
10 trials.
Pteria
sterna and Pinctada mazatlanica
individuals have similar volumes, and both tended to be larger than Semimytilus algosus (Figure
2). Pteria sterna and Pinctada mazatlanica were distinctly on
the higher end of the spectrum (volume > 20 mL), while Semimytilus algosus individuals congregated on the
lower end of the spectrum (volume < 20 mL) (Figure 2). Despite this size
difference, all three species have similar average filtration rates. The filtration
rate is the volume of fluid that flows per unit time, representing the volumetric
flow rate. The respective averages for Pteria sterna, Pinctada mazatlanica,
and Semimytilus algosus are 6.3
L/hr, 5.8 L/hr, and 4.8 L/hr (Figure 2).
Figure
2: Filtration rate and volume of soft tissue for each
individual.
Semimytilus
algosus is significantly smaller in volume than both Pteria sterna and Pinctada mazatlanica (Figure 3, ANOVA, F
= 13.1, p < 0.0001, Tukey-Kramer, see Appendix 2).
Figure
3: Average total volume of individuals by species. Total volume directly correlates
with soft tissue volume.
The volumetric flow rate of each
individual is standardized per unit volume of soft tissue, revealing that
Semimytilus algosus is
significantly more efficient at filtration than both oyster species (Figure 4, ANOVA,
F = 19.6, p < 0.0001, Tukey-Kramer, see Appendix 3). The average volumetric
flow rate per milliliter soft tissue for Pteria sterna, Pinctada mazatlanica, and Semimytilus algosus are 182 (mL/hr), 172 (mL/hr), and 371 (mL/hr), respectively. The respective standard deviations are 65
(mL/hr), 47 (mL/hr), and 172
(mL/hr) (Figure 4).
Figure 4: Standardized
values for filtration rate per unit volume of soft tissue. This represents the milliliters
of water filtered per hour per milliliter of soft tissue. Each data point
represents one individual.
The respective filtration rate
trends of two, four, and six Pinctada mazatlanica individuals appear to increase
non-linearly; there is a substantial increase from two to four individuals and relatively
small increase from four to six individuals (Figure 5, Table 1).
Figure 5: Pinctada mazatlanica
filtration rates with two, four, and six individuals showing the median values
from two trials.
Table
1: Temporal filtration data for comparison between two, four, and six individuals
of Pinctada mazatlanica.
Trial |
Number of
Individuals |
Completely
cleared water within 140 minutes? |
Minutes needed
to completely clear water |
A |
2 |
No |
N/A |
B |
2 |
Yes |
120 |
A |
4 |
Yes |
100 |
B |
4 |
Yes |
80 |
A |
6 |
Yes |
80 |
B |
6 |
Yes |
60 |
A |
0 (control) |
No |
N/A |
B |
0 (control) |
No |
N/A |
Qualitatively, I took note that the before-filtration
samples were much denser with algae, bryozoans, and plankton while the
after-filtration samples contained much less, with most of the minimal contents
being brown bivalve excrement.
For quantitative analysis, the average percent cover of algae
and bryozoans on spot sides shows decreases in abundance in the post-filtration
samples (Table 2).
Table 2:
Decrease in average percent coverage of algae and bryozoans after 4 filtration
trials.
Species |
Average decrease
after filtration |
Pteria
sterna |
53% |
Pinctada
mazatlanica |
35% |
Semimytilus
algosus |
42% |
Control |
+2% |
DISCUSSION
Filtration trials show that Pteria sterna filtered the fastest and
filtered significantly faster than Semimytilus algosus,
which was the slowest (Figure 1). This does not agree with my prediction that Pinctada mazatlanica
would filter the fastest. Species identity certainly contributes to
filtration rate. The slight decrease in turbidity in the control bucket was due
to sediment settling.
Considering filtration rate and
total soft tissue volume, Semimytilus algosus filtered at a similar rate as both the oyster
species, despite being smaller (Figure 2). Semimytilus algosus almost completely dominates the small end of the soft tissue volume
spectrum, but the averages of all three species are similar as they are within
1.5 L/hr of each other. This implies that Semimytilus algosus is
most efficient and does not agree with my prediction that Pinctada mazatlanica would be most
efficient. This further implies that species identity contributes to filtration
rate because if only size determined filtration rate, Semimytilus algosus would filter many fewer liters
per hour due to its smaller size. The standardized filtration rates per unit soft
tissue volume further elucidates this trend (Figure 4). Semimytilus algosus filters most efficiently than
the other two species by a significant margin (Appendix 3). Pteria sterna is less efficient, and Pinctada
mazatlanica filters the least efficiently by a
relatively small margin. Although Semimytilus algosus filtered the slowest in the filtration trials
and has the smallest average volume, it filtered more efficiently than
individuals of Pteria sterna and Pinctada mazatlanica per unit soft
tissue volume (Figures 1, 3 and 4). This data implies that if timed filtration
trials were held between equally-sized individuals of Pteria sterna and Semimytilus algosus, Semimytilus algosus would
filter faster. Species identity is undoubtedly a factor for determining
filtration efficiency.
Furthermore, considering Figures 1, 3 and 4 together
demonstrates that size is also an important factor. Pteria sterna filters fastest because individuals of that species tend to
be larger, not because that species is more efficient, because Semimytilus algosus is
more efficient (Figure 4). This data implies that size is more influential than
species, since the larger species filtered faster than the more efficient
species. Future research is necessary in order to pinpoint the precise tipping
point of these factors, meaning at what volume the efficiency is more
influenced by species identity.
The observed correlation between
large size and low filtration efficiency is realistic when considering organism
energy investment. Considering the average total volume of each species, Semimytilus algosus has
significantly the smallest volume, implying this species invests relatively
less energy in a large shell and more into its soft tissue processes (Figure 3).
Similar flexible energy allocation in order to enhance fitness is observed in
zebra mussels (Stoeckmann et al. 2001). Therefore,
its soft tissue can be more efficient in filter feeding. Pinctada mazatlanica has the largest
shell and lowest filtration efficiency of all three species, corresponding with
the opposite trend of energy investment; more towards size and mechanical
protection than filtration processes (Figures 3 and 4). Similar reasoning
explains why Semimytilus algosus has
the highest standard deviation in filtration efficiency per soft tissue volume;
even a tiny difference in soft tissue volume will more drastically alter the
filtration efficiency since each unit of soft tissue has a relatively higher
filtration capacity (Figure 4).
The filtration rate trends of two,
four, and six Pinctada mazatlanica individuals show a substantial increase
from two to four individuals but a relatively small increase from four to six
individuals (Figure 5, Table 1). I chose to use Pinctada mazatlanica for this
intraspecific analysis based on the data from the turbidity trials; this
species proved to have the intermediate filtration rate so I strived to
determine the number of individuals of Pinctada
mazatlanica that rivals or surpasses the
filtration rate of the faster Pteria sterna. As
only two trials were conducted, no statistics can be applied. However, this
data serves as interesting preliminary observations for future research
regarding filtration rate trend as population size increases. A non-linear
increase in filtration rate could have implications for social facilitation
among bivalves, as is observed in other marine invertebrates such as red sea
urchins (Breen et al. 1985).
Quantitative microscope analysis
shows trends in algae and bryozoan reduction post-filtration. This analysis
estimates the quantity of algae and bryozoans consumed by each species to
complement the filtration speeds gathered from the time trials (Table 2, Figure
1). The filtration trials observed water clearance rate, therefore observing
the reduction in all water contents over time, but the microscope analysis
specifically focuses on algae and bryozoans. Pteria sterna filtered the most algae, followed by Semimytilus algosus, and Pinctada mazatlanica consumed the least
amount of algae. This data gives important insight regarding the specific water
contents that each species consumes. The fact that Pinctada mazatlanica filtered faster than
Semimytilus algosus in
the time trials but Semimytilus algosus consumed
more algae can be explained by two possible phenomenons.
One explanation is that Pinctada mazatlanica selectively feeds on other biotic material
in the water, such as zooplankton. Newell found support for a similar pattern
in oysters and mussels in freshwater systems, as they filtered algal material
from the water first, then filtered detrital material and bacteria only when
there was low abundance of algae (1990). These mollusks might show food
preference comparable to that of animals in higher trophic levels. An alternate
explanation is that the gills of Pinctada
mazatlanica do not retain phytoplankton particles
as well as those of Semimytilus algosus, but instead
more efficiently retain particles of a different range. Semimytilus algosus might
possess larger latero-frontal cirri on their gills that enhance retention of
phytoplankton particles. This more effective gill morphology is found in the
clam species Mercenaria mercenaria, allowing it to achieve a greater retention
rate of particles larger than four mm compared to the oyster Crassostrea virginica (Riisgard 1988). This is an area for future research.
Understanding interspecific rates of filtration while
simultaneously considering the impact of individual size could potentially
revolutionize the composition of suspension feeders that conservationists
deliberately recruit to polluted marine regions.
ACKNOWLEDGEMENTS
Many
beautiful, brilliant minds helped make this project a reality. I would like to
thank Frank Joyce for his infinite knowledge and encouragement, mariculture
site, feedback on my paper, translating my abstract into Spanish, and sharing
enthusiasm for observing sessile organisms filter feed for hours on end. Thank
you, Emi Triana, for your endless support, laughter, brainstorming creative
ways to analyze my data and obtain materials, and most importantly for keeping
spirits high when filtration rates were low. Thank you, Erin Cain, for your
constructive guidance in writing this paper and memorable urchin adventures. Thank
you to the mariculture staff, Freddie, Tonio, and
Juan Carlos, for teaching me to dive and collect bivalves and trying your
darndest to understand my broken Spanish on the mariculture boat all day long.
Thank you, Anibal and Minor Lara, for transporting me to the mariculture site
every day and lending me snorkeling gear. A heartfelt thank you goes to my
ridiculous friends, Veronica, Erin, Cami, and Ali for being my emotional
support team each and every day and making fun of me
when I deserved it. Lastly, thank you to the bivalves, my dear companions, who
never complained as they filtered for science and looked amazing doing it.
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APPENDICES
Appendix 1
Oneway
Analysis of value By species
Oneway
Anova
Summary of Fit
|
|
Rsquare |
0.24422 |
Adj Rsquare |
0.186083 |
Root Mean Square Error |
2.386309 |
Mean of Response |
10.7931 |
Observations (or Sum Wgts) |
29 |
Analysis of Variance
Source |
DF |
Sum of Squares |
Mean Square |
F Ratio |
Prob > F |
species |
2 |
47.84240 |
23.9212 |
4.2008 |
0.0263 |
Error |
26 |
148.05622 |
5.6945 |
|
|
C. Total |
28 |
195.89862 |
|
|
|
Means for Oneway Anova
Level |
Number |
Mean |
Std Error |
Lower 95% |
Upper 95% |
Pinctada mazatlanica |
10 |
10.9500 |
0.75462 |
9.399 |
12.501 |
Pteria sterna |
10 |
12.2100 |
0.75462 |
10.659 |
13.761 |
Semimytilus algosus |
9 |
9.0444 |
0.79544 |
7.409 |
10.679 |
Std Error uses a pooled
estimate of error variance
Means Comparisons
Dif=Mean[i]-Mean[j] |
Pteria sterna |
Pinctada mazatlanica |
Semimytilus algosus |
Pteria sterna |
0.0000 |
1.2600 |
3.1656 |
Pinctada mazatlanica |
-1.2600 |
0.0000 |
1.9056 |
Semimytilus algosus |
-3.1656 |
-1.9056 |
0.0000 |
Alpha=
0.05
Comparisons for all pairs
using Tukey-Kramer HSD
q* |
Alpha |
2.48489 |
0.05 |
Abs(Dif)-LSD |
Pteria sterna |
Pinctada mazatlanica |
Semimytilus algosus |
Pteria sterna |
-2.6519 |
-1.3919 |
0.4410 |
Pinctada mazatlanica |
-1.3919 |
-2.6519 |
-0.8190 |
Semimytilus algosus |
0.4410 |
-0.8190 |
-2.7953 |
Positive values show pairs
of means that are significantly different.
Level |
|
|
Mean |
Pteria sterna |
A |
|
12.210000 |
Pinctada mazatlanica |
A |
B |
10.950000 |
Semimytilus algosus |
|
B |
9.044444 |
Levels not connected by
same letter are significantly different
Appendix 2
Oneway
Analysis of Value By Species
Oneway
Anova
Summary of Fit
|
|
Rsquare |
0.268969 |
Adj Rsquare |
0.248377 |
Root Mean Square Error |
27.31609 |
Mean of Response |
57.55405 |
Observations (or Sum Wgts) |
74 |
Analysis of Variance
Source |
DF |
Sum of Squares |
Mean Square |
F Ratio |
Prob > F |
Species |
2 |
19492.287 |
9746.14 |
13.0616 |
<.0001 |
Error |
71 |
52977.997 |
746.17 |
|
|
C. Total |
73 |
72470.284 |
|
|
|
Means for Oneway Anova
Level |
Number |
Mean |
Std Error |
Lower 95% |
Upper 95% |
Pinctada mazatlanica |
24 |
71.8750 |
5.5759 |
60.757 |
82.993 |
Pteria sterna |
26 |
65.6923 |
5.3571 |
55.011 |
76.374 |
Semimytilus algosus |
24 |
34.4167 |
5.5759 |
23.299 |
45.535 |
Std Error uses a pooled
estimate of error variance
Means Comparisons
Dif=Mean[i]-Mean[j] |
Pinctada mazatlanica |
Pteria sterna |
Semimytilus algosus |
Pinctada mazatlanica |
0.000 |
6.183 |
37.458 |
Pteria sterna |
-6.183 |
0.000 |
31.276 |
Semimytilus algosus |
-37.458 |
-31.276 |
0.000 |
Alpha=
0.05
Comparisons for all pairs
using Tukey-Kramer HSD
q* |
Alpha |
2.39384 |
0.05 |
Abs(Dif)-LSD |
Pinctada mazatlanica |
Pteria sterna |
Semimytilus algosus |
Pinctada mazatlanica |
-18.877 |
-12.327 |
18.582 |
Pteria sterna |
-12.327 |
-18.136 |
12.766 |
Semimytilus algosus |
18.582 |
12.766 |
-18.877 |
Positive values show pairs
of means that are significantly different.
Level |
|
|
Mean |
Pinctada mazatlanica |
A |
|
71.875000 |
Pteria sterna |
A |
|
65.692308 |
Semimytilus algosus |
|
B |
34.416667 |
Levels not connected by
same letter are significantly different
Appendix 3
Oneway
Analysis of Value By Species
Oneway
Anova
Summary of Fit
|
|
Rsquare |
0.425485 |
Adj Rsquare |
0.403805 |
Root Mean Square Error |
107.9557 |
Mean of Response |
239.6125 |
Observations (or Sum Wgts) |
56 |
Analysis of Variance
Source |
DF |
Sum of Squares |
Mean Square |
F Ratio |
Prob > F |
Species |
2 |
457455.8 |
228728 |
19.6258 |
<.0001 |
Error |
53 |
617685.2 |
11654 |
|
|
C. Total |
55 |
1075141.0 |
|
|
|
Means for Oneway Anova
Level |
Number |
Mean |
Std Error |
Lower 95% |
Upper 95% |
Pinctada mazatlanica |
18 |
171.939 |
25.445 |
120.90 |
222.98 |
Pteria sterna |
20 |
182.465 |
24.140 |
134.05 |
230.88 |
Semimytilus algosus |
18 |
370.783 |
25.445 |
319.75 |
421.82 |
Std Error uses a pooled
estimate of error variance
Means Comparisons
Dif=Mean[i]-Mean[j] |
Semimytilus algosus |
Pteria sterna |
Pinctada mazatlanica |
Semimytilus algosus |
0.00 |
188.32 |
198.84 |
Pteria sterna |
-188.32 |
0.00 |
10.53 |
Pinctada mazatlanica |
-198.84 |
-10.53 |
0.00 |
Alpha=
0.05
Comparisons for all pairs
using Tukey-Kramer HSD
q* |
Alpha |
2.41127 |
0.05 |
Abs(Dif)-LSD |
Semimytilus algosus |
Pteria sterna |
Pinctada mazatlanica |
Semimytilus algosus |
-86.77 |
103.75 |
112.07 |
Pteria sterna |
103.75 |
-82.32 |
-74.05 |
Pinctada mazatlanica |
112.07 |
-74.05 |
-86.77 |
Positive values show pairs
of means that are significantly different.
Level |
|
|
Mean |
Semimytilus algosus |
A |
|
370.78333 |
Pteria sterna |
|
B |
182.46500 |
Pinctada mazatlanica |
|
B |
171.93889 |
Levels not connected by
same letter are significantly different