VII.14
Grasshopper Population Regulation
G. E. Belovsky
Three Relationships
Important in Grasshopper Population Dynamics
Using the
Ricker Curve
What Weather
Can Do
Weather
Interacts With Enemies and Food Availability
General Conclusions
References
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Factors controlling the dynamics of a population are often referred
to as either limiting or regulating a population (Sinclair 1989).
Limiting factors operate to depress a population without regard
to its number; limiting factors are density independent. Regulating
factors are special depressing factors that tend to bring the population
to a specific number; to reach the specific number, the depressing
effect must be great when the population is much larger than the
specific number and less when the population is below or near the
specific number. Regulating factors are density dependent.
Population ecologists have demonstrated that, although there may
be a correlation between weather and population numbers, this correlation
does not mean that weather is the causal factor determining population
dynamics or even the most important factor-even if it is a limiting
factor (Horn 1968). In fact, it is well established that the density-independent
effects of weather on survival and reproduction cannot regulate
populations. The effects can only interact with regulating mechanisms
to set population numbers because regulation requires the negative
feedback of density dependent processes.
Science's understanding of grasshopper population dynamics
has been largely built on long-standing observations that grasshopper
numbers in a given year are correlated with temperature and precipitation
(Joern and Gaines 1990). While these correlations provide convenient
forecasting tools for pest managers, the correlations do not imply
that weather is the causal mechanism limiting or regulating populations,
nor that scientists understand grasshopper population dynamics.
Furthermore, correlations between grasshopper numbers and weather,
while statistically significant, are weak and are not consistent
between different western rangelands with grasshopper numbers sometimes
being greater in hot-dry years and sometimes greater in cool-wet
years (see chapter IV.8).
Variability in the response to weather suggests that grasshopper
populations may respond to other factors that are correlated with
weather and not to the weather directly (for example, the abundance
and nutritional value of food, the cover providing protection from
predators, diseases, etc.). Consequently, the value of weather as
a forecasting tool for particular western regions and the concept
of weather as the driving factor in grasshopper population dynamics
should not be confused.
 |
| Figure VII.14-1-A
simple Ricker curve relating the number of individuals starting
the population in generation t (Nt) to the number of individuals
produced by them to start the next generation (Nt+1). The
point where the reference line (Nt = Nt+1) intersects the
Ricker curve is an equilibrium point that the population may
approach. |
A number of general models have been developed to portray insect
population dynamics (Southwood and Comins 1976, Berryman 1987).
These models are generic and are not based upon specific mechanisms
that operate upon the insect's population but attempt to depict
the insect's population dynamics in terms of the shape of a Ricker
curve. A Ricker curve (fig. VII.14-1) is a plot of a species's number
(N) at time t (Nt) against its
number at a later time, t+1 (Nt+1).
This type of population analysis is appropriate for insects that
have a single generation each year, which includes nearly all western
rangeland grasshoppers (Varley et al. 1973). Ricker curves are depictions
of population dynamics because their intersection with a reference
line (Nt = Nt+1)
defines the number to which the population is being drawn by regulating
factors (fig. VII.14-1).
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Three
Relationships Important in Grasshopper Population Dynamics
The shape of the Ricker curve depends upon the ecological mechanisms
that operate on the population and how they change in intensity
with density. Three mechanisms may be particularly important for
grasshoppers: (1) the relationship between density and the probability
of surviving to the adult stage in the absence of natural enemies,
(2) the relationship between density and the probability that an
individual is killed by a natural enemy, and (3) the relationship
between the current year's density and the number of hatchlings
produced for the next year by each current female. In each case,
density refers to the number of hatchlings per area that initiates
the year's population. I will review each of these functions.
Density and Survival.-In the absence of natural enemies,
the relationship between initial grasshopper hatchling density and
survival determines the density of adult females that can produce
hatchlings. First, at low densities, survival should be a constant
proportion of the population set by weather and the nutritional
value of foods because the individuals consume as much food as they
can potentially process. This survival is density independent
because it does not vary with the density of grasshoppers present.
Second, at higher densities, survival becomes density dependent,
as competition reduces the food available per individual, and
the mortality rate increases.
This survival relationship leads to a pattern where the density
of adults increases as hatchling density increases and then becomes
a constant set by the maximum adult density that the available food
can support. This relationship can be seen at a Palouse prairie
site in western Montana for Melanoplus sanguinipes where
the addition of food increases survival to the adult stage (fig.
VII.14-2A) (Belovsky and Slade 1995). Weather can increase or decrease
food: cool-moist conditions tend to increase plant production,
but tend to decrease the nutritional quality of the plants.
Density and Predation.-The relationship between the initial
density of hatchling grasshoppers and an individual's probability
of being killed by natural enemies depends upon the rate at which
an individual enemy can kill grasshoppers (functional response)
and the number of enemies present (numerical response). The functional
and the numerical responses for a natural enemy frequently increase
to constant values as the density of prey increases; this phenomenon
is observed in predator-prey systems ranging from insects and spiders
to wolves and deer.
The implication is that as density of the grasshoppers increases,
the proportion killed (probability of an individual being killed)
will first increase with density and then decrease. An example can
be seen at a Palouse prairie site in western Montana for the grasshopper
M. sanguinipes where vertebrate predators, especially birds,
are the principal natural enemies (fig. VII.14-2B) (Belovsky and
Slade 1993). Weather can modify the effects of these natural enemies.
For example, cool- moist conditions can increase plant production,
and increased plant biomass enables grasshoppers to conceal themselves
from predators. But cool-wet conditions do not always enhance grasshopper
survival: they can increase the virulence of some diseases.
Density and Reproduction.-The relationship between the
current year's density of hatchlings and the hatchlings produced
for the next year's generation by each current female reflects
two conditions. First, at low densities, hatchling production per
female should be constant because each female has all of the food
that she can utilize for egg production. This level of reproduction
is density independent because it does not vary with the
density of hatchlings present. Second, at higher densities, hatchling
production per female should decline as the density of current hatchlings
increases because each female acquires less and less of the available
food. This level of reproduction is density dependent because
it declines with the current density of hatchlings present. This
decline emerges as females acquire less and less food because the
increasing number of grasshoppers depletes the available food. The
above pattern in reproduction can be seen at a Palouse prairie site
in western Montana for M. sanguinipes where the addition
of food increases reproduction (fig. VII.14-2C) (Belovsky and Slade
1995). Weather can increase or decrease food availability. For example,
cool-moist conditions tend to increase plant production but tend
to decrease the nutritional quality of the plants.

Figure VII.14-2-The
relationships between hatchling density of Melanoplus sanguinipes
and (A) adult density, (B) the probability of an individual
being killed by a predator, and (C) the production of eggs and hatchlings
per adult female, as observed at a Palouse prairie site in western
Montana. The vertical dashed lines relate the points where the probability
of predation and reproduction per adult female begin to decline
with hatchling density. (A andC are adapted from Belovsky
and Slade [1995]. B is adapted from Belovsky and Slade [1993].)
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Using
the Ricker Curve
The above three relationships can be combined to construct a Ricker
curve, which enables scientists to integrate the effects of weather-induced
density-independent mortality, natural enemy-caused mortality, and
food resources. This integration produces three possible Ricker
curve shapes, each reflecting a different dominant form of population
regulation.
 |
| Figure VII.14-3-The
three Ricker curve shapes that emerge (see text). |
Population Regulated Only by Natural Enemies.- This type
of regulation occurs when the peak of the function relating the
probability of being killed by a natural enemy occurs at a grasshopper
density that is greater than the density at which hatchling production
begins to decline and/or adult densities attain their maximum level.
In this case, a Ricker curve emerges with a single peak or two peaks,
where the reference line intersects the Ricker curve only on the
first peak (fig. VII.14-3A). This case emerges if the actions of
the natural enemies (a) are so strong that grasshopper density cannot
attain a level at which competition for food occurs or (b) continue
to increase as competition for food increases.
Population Regulated Only by Food Availability.- This type
of regulation occurs when the peak of the function relating the
probability of being killed by a natural enemy occurs at a grasshopper
density that is much less than the density at which hatchling production
begins to decline and/or adult densities attain their maximum level.
The Ricker curve emerges with two peaks, where the reference line
intersects the Ricker curve only on the second peak (fig. VII.14-3B).
In this case, the population is capable of escaping the effects
of natural enemies, because (a) the natural enemies are not very
effective and/or (b) the impact of the natural enemies rapidly diminishes
as grasshopper density increases.
Population Regulated by Either Natural Enemies or Food Availability
Depending Upon the Density of Hatchlings Initiating the Population.-This
type of regulation occurs when the peak of the function relating
the probability of being killed by a natural enemy occurs at a grasshopper
density that is less, but not much less, than the density at which
hatchling production begins to decline and/or adult densities attain
their maximum level. In this case, a Ricker curve emerges with two
peaks, where the reference line intersects the Ricker curve at three
points (fig. VII.14-3C).
The intersection with the first peak represents a population state
regulated by natural enemies. The intersection with the second peak
represents a population state regulated by food availability. The
intersection lying between the above two intersections defines the
watershed, where populations initiated with densities less than
this point become limited by natural enemies and with densities
greater than this point become limited by food availability. In
this case, the population can jump from one mode of regulation to
the other depending upon the densities of hatchlings initiating
a population from year to year.
 |
| Figure VII.14-4-The
Ricker curve for a M. sanguinipes population during a
single year at a Palouse prairie site in western Montana. Error
bars and sample sizes are presented for populations initiated
at the same hatchling density. |
The picture of grasshopper population regulation described above
can be validated experimentally. From experimental (enclosed) populations
established at different densities of M. sanguinipes at the
Palouse prairie site in western Montana, the Ricker curve has been
measured (fig. VII.14-4). The curve has two peaks and is intersected
by the reference line at three points, indicating a population that
can be regulated by either natural enemies or food availability
depending on initial hatchling densities.
More than 12 years of observation of this population disclosed
that it has consistently been regulated by food availability, not
by natural enemies (Belovsky and Slade 1993, 1995). This fact suggests
that the population is near the intersection with the second peak
of the Ricker curve. Furthermore, this conclusion was expected given
the three underlying functions measured at this site and presented
in figure VII.14-2.
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What
Weather Can Do
A new perspective toward weather and grasshopper population regulation
can be gained from the Ricker curve model by appreciating that weather
can affect both density-independent mortality and food availability.
Weather-induced density-independent mortality can operate in conjunction
with natural enemy mortality to prevent populations from attaining
levels where food availability becomes regulating. For the density-independent
mortality to be important, it would have to accomplish at least
one of three things. First, inclement spring weather can kill a
high proportion of hatchlings, most likely through cold-induced
starvation. Second, weather might be sufficiently severe over the
entire life cycle of the grasshoppers so that few individuals can
survive to become adults. Third, weather might shorten the period
of time that adults have to live so that the number of hatchlings
produced is dramatically diminished.
On the other hand, weather exerts a far more pervasive influence
by altering food availability from year to year (see chapters IV.4
and IV.5). This variation
in food abundance can be as great as sixfold between years and more
than twofold within a summer (Belovsky and Slade 1995). The variation
in food abundance could easily shift the shape of the Ricker curve
from producing a population regulated by natural enemies in years
with low food abundance to a population regulated by food abundance
in years with high food abundance, and vice versa.
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Weather
Interacts With Enemies and Food Availability
 |
| Figure VII.14-5-Domains
of attraction might emerge for grasshopper population regulation,
where natural enemies along with weather-which primarily affects
density-independent survival and reproduction-sets the bounds
of population fluctuations (A); competition for food
along with weather-which primarily affects food abundance-
sets the bounds of population fluctuations (B); or natural
enemies and food competition in different years with weather
set the bounds of population fluctuations (C). |
The weather-induced shifts in food abundance, and perhaps to a
lesser extent, changes in density-independent mortality result in
domains of attraction (shaded regions in fig. VII.14-5), where
the grasshopper population fluctuates with weather, but is regulated
by either natural enemies or food availability at any one time.
This is the point made by Horn (1968) that weather can create population
fluctuations by varying density-independent or density-dependent
(such as food availability) factors, but the density-dependent factor(s)
must still regulate the population (attract it to particular levels).
In some environments, the points of attraction may be set by population
levels created by natural enemies in different years (fig. VII.14-5A).
In other environments, the points of attraction may be set by population
levels created by food availability in different years (fig. VII.14-
5B). In still other environments, the points of attraction may vary
between levels set by natural enemies in some years and food availability
in other years (fig. VII.14- 5C).
Unique spatial relationships for population regulation emerge when
several populations are placed in juxtaposition. The above discussion
considers that each population is isolated from other populations.
The conclusions concerning the regulation of a single population
may have to be modified when adjacent populations are considered.
For example, consider two adjacent or near populations. One population
is regulated by natural enemies (fig. VII.14-3A) and the other
population, by food availability (fig. VII.14-3B). It is possible
that the food-regulated population will produce individuals that
migrate rather than die. Therefore, if the two populations are close
enough in relation to the dispersal ability of the grasshopper,
the population that would otherwise be regulated by natural enemies
may be able to increase in density with the addition of immigrants
and, thereby, become food regulated. The immigrants permit the population
to escape the effects of natural enemies.
The above simple scenario says that in some situations pest managers
need to understand not only how individual populations are regulated
but also the juxtaposition (landscape) of populations to determine
the potential for population regulation to be complicated by dispersal.
For example, the population receiving dispersers and thereby escaping
regulation by natural enemies might be causing economic damage,
and pest managers might decide to control it. However, control of
this population might be largely ineffective unless the nearby population
providing dispersers is controlled, too. In this scenario, the population
causing damage is not the population that should be controlled because
the dynamics of the former are dependent on the latter.
The implications of population regulation for grasshopper management
may seem of little importance to managers entrusted with reducing
the economic damage caused by pest grasshoppers. However, understanding
how particular populations entrusted to a manager are regulated
can provide critical insights that could make monitoring and control
more cost effective.
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General
Conclusions
In terms of monitoring, the following generalizations might be
reached:
- Populations consistently within a domain that is regulated by
natural enemies seldom reach densities at which economic damage
is sufficient to warrant control; therefore, these populations
may not warrant monitoring.
- Populations consistently within a domain that is regulated by
food availability often reach densities that cause economic damage
and regularly warrant control; therefore, these populations may
not warrant monitoring.
- Populations in a domain where regulation can frequently jump
between natural enemy limitation and food limitation will only
periodically cause economic damage and warrant control; therefore,
these populations may warrant monitoring.
If a manager knows the mode of regulation operating on a specific
grasshopper population, monitoring efforts can be more effectively
carried out, and that will save time and money.
In terms of control strategies, with the knowledge of how a population
is regulated, a manager may be able to enhance efficiency by creating
strategies that are tailored to the particular population. For example,
I found (1992 unpubl.) that an insecticide application that killed
less than 20 percent of the grasshopper nymphs-an application level
much less than commonly employed-could shift a population from
being regulated by food availability to being regulated by natural
enemies. Switching to such a spray regimen would lessen control
costs directly and also indirectly, by taking advantage of the more
effective actions of natural enemies. Low-mortality spraying also
would lead to less future management activity, with further cost
reductions, because natural enemies would help to suppress future
population increases.
Understanding how grasshopper populations are regulated and how
regulation differs between regions of the western rangelands is
essential for the development of new control strategies that involve
reduced insecticide use, biocontrol agents, and grazing and habitat
manipulation.
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References
Cited
Belovsky, G. E.; Slade, J. B. 1993. The role of
vertebrate and invertebrate predators in a grasshopper community.
Oikos 68: 193-201.
Belovsky, G. E.; Slade, J. B. 1995. Dynamics of
some Montana grasshopper populations: relationships among weather,
food abundance and intraspecific competition. Oecologia 101: 383-396.
Berryman, A. A. 1987. The theory and classification
of outbreaks. In: Barbosa, P.; Schultz, J. C., eds. Insect outbreaks.
New York: Academic Press: 3-30.
Horn, H. S. 1968. Regulation of animal numbers:
a model counter-example. Ecology 49: 776-78.
Joern, A.; Gaines, S. B. 1990. Population dynamics
and regulation in grasshoppers. In: Chapman, R. F.; Joern, A., eds.
Biology of grasshoppers. New York: John Wiley and Sons: 415-82.
Sinclair, A.R.E. 1989. Population regulation in
animals. In: Cherett, J. M., ed. Ecological concepts. Oxford, UK:
Blackwell Scientific: 197-241.
Southwood, T.R.E.; Comins, H. N. 1976. A synoptic
population model. Journal of Animal Ecology 45: 949-65.
Varley, C. G.; Gradwell, G. R.; Hassell, M. P.
1973. Insect population ecology: an analytical approach. Berkeley,
CA: University of California Press: 212 p.
Reference
Cited-Unpublished
Belovsky, G. E. 1992. Grasshopper control: implications
of investigations into population/community ecology. In: Grasshopper
Integrated Pest Management Project, 1992 annual report. Boise, ID:
U.S. Department of Agriculture, Animal and Plant Health Inspection
Service: 57-63.
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