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BIO 356 / BEE 587 Lab 3 - Life History Analysis
Sara Asher
2/20/2024
Q1
The balance of evolutionary trade-offs is shifted during the domestication process from perennials to annuals.
In order to accommodate human preferences and agricultural goals, domestication places a higher value on
features that maximize short-term reproductive success than on long-term survival tactics.
Q2.
Another example of domesticated organism where selective breeding for desirable life history trait was
obtained is the domestication of dogs.
In the part dogs were domesticated from wolves when they were
puppies for various human purposes such as companionship,herding etc.Due to this their life history traits
have increased with reduction in overall body size and an increase in reproductive output.whereas in smaller
dogs we have also observed faster growth but the down side to this is that because of domestication these
dogs have lost their ferociousness and aggression which could help them survive in the wild. Since they are
now tamed their ability to survive in the wild has reduced greatly.
Q3.
It can be seen that based on the table CO population evolved a later breeding schedule since the last day of
laying is later than the CB population.
Q4.
The CO population evolved a longer lifespan with the longevity being 30.25 Based on the previous question
later breeding schedule results in a longer lifespan.
Q5.
Assuming the longevity and late breeding schedules co evolve as seen in the experiment we predict that in
an uncertain environment where individuals are prone to unpredictable mortality early breeding would be
more suitable in that environment
Q6.
The authors specifically compare the growth of the fastest-growing saplings against survival of the slowest-
growing saplings, as opposed to comparing average growth to average survival across all trees of each species
because trade offs don’t just depend on the organisms but also on the environment as an organism exists
1
within its environment and it is important to consider that as a major factor. Showing the average stifles
the factor of environment impact since it is not a very specific analysis that doesn’t take into consideration
the environment.
Q7.
We expect to see a positive association between wood density and survival and a negative association between
wood density and relative growth rate.
Denser wood may improve survivability in storm-prone places
and other conditions with high mechanical stress because of its enhanced resilience.
On the other hand,
species with lower wood density but faster growth rates may out compete denser species in resource-rich
environments, suggesting that there may be a negative relationship between wood density and growth.
Q8.
Yes the empirical observations match my prediction for wood density since we can observe a positive associ-
ation between the two quantities. The correlation coefficient is 0.48 which is not a very strong correlation.
Q9.
With a correlation of 0.00 and a p-value of 0.983, which indicates no meaningful relationship, height has
the least correlation with sapling survival.
In comparison to other features like leaf mass per area, log-
transformed seed mass, and wood specific gravity, this shows that sapling height may not be a major factor
impacting survival.
Q10.
For LMA, log seed mass and WSG we can clearly see a negative relationship between growth and vs func-
tional trait which supports the hypothesis that if a sapling invests more in growth then the survival will
decrease.Comparing the two graphs we can see that in Q8 traits are positively correlated with survival and
Q10 the traits are negatively correlated with growth which hence further supports the hypothesis.
dat
=
read.table
(
'
https://raw.githubusercontent.com/rafaeldandrea/BIO-356/master/Supplement_20100505.txt
'
,
skip =
25
,
header =
TRUE
)
%>%
as_tibble
## Original data set records missing data as -99. This line replaces it with NA
dat[dat
== -
99
]
= NA
dtf
=
dat
%>%
select
(GENUS., SPECIES., WSG, SEEDMASS, HEIGHT, LMA, RGR95SAP, MRT25SAP)
%>%
mutate
(
LOGSEEDMASS =
log10
(SEEDMASS))
%>%
pivot_longer
(
-
c
(GENUS., SPECIES., RGR95SAP, MRT25SAP),
names_to =
'
trait
'
)
%>%
mutate
(
growth =
RGR95SAP,
survival =
100
-
MRT25SAP)
%>%
select
(
-
c
(RGR95SAP, MRT25SAP))
%>%
pivot_longer
(
c
(growth, survival),
names_to =
'
demographic
'
,
values_to =
'
rate
'
)
%>%
2
filter
(trait
!=
'
SEEDMASS
'
)
plot_growth_vs_traits
=
dtf
%>%
filter
(demographic
==
'
growth
'
)
%>%
ggplot
(
aes
(value, rate))
+
geom_point
()
+
theme
(
aspect.ratio =
1
)
+
facet_wrap
(
~
trait,
ncol =
2
,
scales =
'
free
'
)
+
labs
(
x =
'
trait value
'
,
y =
'
relative growth rate of fastest-growing saplings (cm per cm dbh per year)
'
)
+
ggtitle
(
'
Sapling growth rate vs functional traits on BCI
'
)
plot_growth_vs_traits
## Warning: Removed 154 rows containing missing values (‘geom_point()‘).
LOGSEEDMASS
WSG
HEIGHT
LMA
-4
-2
0
0.3 0.4 0.5 0.6 0.7 0.8
10
20
30
40
25
50
75
100
0.10
0.15
0.20
0.25
0.30
0.35
0.10
0.15
0.20
0.25
0.30
0.35
0.10
0.15
0.20
0.25
0.30
0.35
0.10
0.15
0.20
0.25
0.30
0.35
trait value
tive growth rate of fastest-growing saplings (cm per cm dbh per yea
Sapling growth rate vs functional traits on BCI
Q11.
It can be observed that species A is the competitor and Species B is the colonizer where species A out
competes species B but species B occupies more space by decreasing mortality for species A
3
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Q12.
If adult mortality is decreased species A the competitor should benefit as that would lead to less vacant
spots available to species B as represented in the graph.
## Model
CCT_Model
=
function
(
initial_p,
fecundity,
mortality,
displacement_matrix,
final_time,
time_step
){
CCT
=
function
(t, state, parameters){
with
(
as.list
(parameters), {
p
=
state
p[p
<
1e-200
]
=
0
dpdt
=
((
1
-
sum
(p))
*
f
-
m
+
as.numeric
(T
%*%
p))
*
p
list
(dpdt)
})
}
times
=
seq
(
0
, final_time,
by =
time_step)
parameters
=
list
(
f =
fecundity,
m =
mortality,
h =
displacement_matrix,
T =
fecundity
*
displacement_matrix
-
t
(fecundity
*
displacement_matrix)
)
state
=
initial_p
out
=
ode
(
y =
state,
times =
times,
func =
CCT,
parms =
parameters)
out[out
<
0
]
=
0
return
(
list
(
parameters =
list
(
initial_p,
fecundity,
mortality,
displacement_matrix
),
initial_conditions =
initial_p,
state =
out
)
)
4
}
# Plotting the model outcome
Plot_CCT_timeseries
=
function
(model){
as.data.frame
(model
$
state)
%>%
pivot_longer
(
-
time,
names_to =
'
species
'
,
values_to =
'
occupancy
'
)
%>%
ggplot
(
aes
(time, occupancy,
group =
species,
color =
species))
+
geom_line
(
size =
1
)
+
expand_limits
(
y =
0
)
}
Plot_CCT_stemplot
=
function
(trait, model){
tibble
(
trait =
trait,
occupancy =
model
$
state[
nrow
(model
$
state),
-
1
])
%>%
ggplot
()
+
geom_segment
(
aes
(trait, occupancy,
xend =
trait,
yend =
occupancy
-
occupancy))
+
geom_point
(
aes
(trait, occupancy))
}
# Parameters
number_of_species
=
2
fecundity
=
c
(
1
,
5
)
p0
=
c
(.
1
, .
1
)
mortality
=
.
5
final_year
=
25
# Call the model
model
=
CCT_Model
(
initial_p =
p0,
fecundity =
fecundity,
mortality =
mortality,
displacement_matrix =
1
*
upper.tri
(
diag
(number_of_species)),
final_time =
final_year,
time_step =
.
1
)
# Plot results
plot_timeseries
=
as.data.frame
(model
$
state)
%>%
as_tibble
%>%
rename
(
`
species A
`
=
`
1
`
,
`
species B
`
=
`
2
`
)
%>%
mutate
(
empty =
1
-
`
species A
`
-
`
species B
`
)
%>%
pivot_longer
(
-
time,
names_to =
'
species
'
,
values_to =
'
occupancy
'
)
%>%
ggplot
(
aes
(time, occupancy,
group =
species,
color =
species))
+
geom_line
(
size =
1
)
+
expand_limits
(
y =
0
)
+
theme
(
aspect.ratio =
1
)
## Warning: Using ‘size‘ aesthetic for lines was deprecated in ggplot2 3.4.0.
## i Please use ‘linewidth‘ instead.
## This warning is displayed once every 8 hours.
## Call ‘lifecycle::last_lifecycle_warnings()‘ to see where this warning was
5
## generated.
plot_timeseries
0.0
0.2
0.4
0.6
0.8
0
5
10
15
20
25
time
occupancy
species
empty
species A
species B
# Parameters
number_of_species
=
100
fecundity
=
seq
(
81
,
1000
,
length =
number_of_species)
p0
=
rep
(
1
/
number_of_species, number_of_species)
mortality
=
80
final_year
=
10000
# Call the model
model
=
CCT_Model
(
initial_p =
p0,
fecundity =
fecundity,
mortality =
mortality,
displacement_matrix =
1
*
upper.tri
(
diag
(number_of_species)),
final_time =
final_year,
time_step =
1
)
# Plot results
plot_stemplot
=
Plot_CCT_stemplot
(
trait =
seq
(number_of_species),
model =
model)
+
6
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scale_y_sqrt
()
plot_stemplot
+
xlab
(
'
competition rank
'
)
0.000
0.025
0.050
0.075
0
25
50
75
100
competition rank
occupancy
Q13.
Between species 10 and species 90 we see that species 90 has a higher fecundity while species 10 has the
higher competitive rank. There is a trade off between competition and fecundity where those species who
have higher competitive rank and survive longer tend to have a lower fecundity. meanwhile those who have
lower competitive rank tend to have a higher fecundity since their goal is to reproduce faster and in larger
numbers.
Q14.
If we gave all the species the same fecundity we can observe that the most competitive species takes over all
the occupancy to increase their own fecundity and the other species do not have any fecundity or occupancy.
# Parameters
number_of_species
=
100
fecundity
=
rep
(
80
,
length =
number_of_species)
p0
=
rep
(
1
/
number_of_species, number_of_species)
mortality
=
80
7
final_year
=
10000
# Call the model
model
=
CCT_Model
(
initial_p =
p0,
fecundity =
fecundity,
mortality =
mortality,
displacement_matrix =
1
*
upper.tri
(
diag
(number_of_species)),
final_time =
final_year,
time_step =
1
)
# Plot results
plot_stemplot
=
Plot_CCT_stemplot
(
trait =
seq
(number_of_species),
model =
model)
+
scale_y_sqrt
()
plot_stemplot
+
xlab
(
'
competition rank
'
)
0e+00
5e-07
1e-06
0
25
50
75
100
competition rank
occupancy
Q15.
It can be seen that the theoretical scenario in Q14 relates very well to the concept of Darwinian demon which
talks about one species that can maximize all elements of its fitness simultaneously.In scenario Q14. we see
8
that when the fecundity is the same for all organisms the most competitive organism will take over all the
occupancy and maximize all its elements as much as it can.In both the scenarios we can also observe that
there is no trade off or constraints holding the species back.Hence as seen in scenario above the competitor
has no trade off therefore they will have no constraints in reproduction.
Q16.
The results of England et Al support the IDH. Some additional evidence regarding the species examined
would further corroborate the IDH would be the ratio between competitors and colonizers in terms of which
one is dominating and if they are able to coexist
9
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88% O
Wed 9:06 PM
A Laboratory 7 - Series-Parallel DC Circuits.pdf (page 4 of 7)
-Edited
Q Search
Aal
v Av
V Laboratory 7 - Series-Parallel..
Assuming a 12 V dc supply is connected to the circuit as shown, calculate: I, l1, l2, l3, V1, V2 and V3. Record
the values in the table. Be sure to indicate the correct unit for each quantity.
V, R2
1kQ
R1
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V, 2.2ko
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Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,