Irruptive growth
Encyclopedia
Irruptive growth, sometimes called Malthusian growth, is a growth pattern defined by population explosions
Overpopulation
Overpopulation is a condition where an organism's numbers exceed the carrying capacity of its habitat. The term often refers to the relationship between the human population and its environment, the Earth...

 and subsequent sharp population crashes, or diebacks. It is an extension of the Malthusian growth model
Malthusian growth model
The Malthusian growth model, sometimes called the simple exponential growth model, is essentially exponential growth based on a constant rate of compound interest...

, specifically the growth pattern that causes a Malthusian catastrophe
Malthusian catastrophe
A Malthusian catastrophe was originally foreseen to be a forced return to subsistence-level conditions once population growth had outpaced agricultural production...

, and can occur when populations overshoot their carrying capacity
Carrying capacity
The carrying capacity of a biological species in an environment is the maximum population size of the species that the environment can sustain indefinitely, given the food, habitat, water and other necessities available in the environment...

, a phenomenon typically associated with r-strategists
R/K selection theory
In ecology, r/K selection theory relates to the selection of combinations of traits in an organism that trade off between quantity or quality of offspring...

. Populations which exhibit irruptive growth do not stabilize around their carrying capacity, a feature of logistic growth
Logistic function
A logistic function or logistic curve is a common sigmoid curve, given its name in 1844 or 1845 by Pierre François Verhulst who studied it in relation to population growth. It can model the "S-shaped" curve of growth of some population P...

. Irruptive growth occurs when a species reproduces more rapidly than the environment is capable of supporting with the available resources.

K-Strategist and R-Strategist species

R-strategist species (species that evolve according to R-selection) are characterized by rapid development, early reproduction, small body size, and shorter lifespans, whereas K-strategist
R/K selection theory
In ecology, r/K selection theory relates to the selection of combinations of traits in an organism that trade off between quantity or quality of offspring...

 species (species that evolve according to K-selection) exhibit slow development, delayed reproduction, large body size, and longer lifespans. These are the main two evolutionary
Evolution
Evolution is any change across successive generations in the heritable characteristics of biological populations. Evolutionary processes give rise to diversity at every level of biological organisation, including species, individual organisms and molecules such as DNA and proteins.Life on Earth...

 strategies for ensuring the continuation of the species by passing down its genetic code
Genetics
Genetics , a discipline of biology, is the science of genes, heredity, and variation in living organisms....

. R-strategist species have variable population sizes and are more likely to exhibit irruptive growth than K-strategist species, whose populations are usually constant and remain at or close to the carrying capacity of the environment. R-selection leads to high productivity, while K-selection leads to high efficiency. Productivity refers to the number of offspring produced, whereas efficiency refers to the quality and the probability of survival of individual offspring. The human species
Human
Humans are the only living species in the Homo genus...

 is K-strategist; that is, each mating pair has a small number of offspring, of which the majority will survive to adulthood and reach reproductive age. Reproductive age is later in life for K-strategists. R-strategist species, such as insects
Insect
Insects are a class of living creatures within the arthropods that have a chitinous exoskeleton, a three-part body , three pairs of jointed legs, compound eyes, and two antennae...

, have very large numbers of offspring, the majority of which will die before reaching physical maturity. If there is a change in their environment, more of these offspring may survive than is typical, leading to irruptive growth. Because of these differences in the number of offspring produced between K- and R-strategists, K-strategist species are more likely to have stable populations and less likely to exhibit irruptive growth.

Malthusian growth

The exception to the general rule of K-strategists being less likely to exhibit irruptive growth is people. As Thomas Malthus described in his essay on the Principle of Population
An Essay on the Principle of Population
The book An Essay on the Principle of Population was first published anonymously in 1798 through J. Johnson . The author was soon identified as The Reverend Thomas Robert Malthus. While it was not the first book on population, it has been acknowledged as the most influential work of its era...

, human overpopulation is a serious issue, and one which can only become more pressing. Due to our advanced mental capacity, humans have succeeded in maximizing the carrying capacity of the environment through the invention of higher-yielding crops and transportation to get food from where it is produced to where it is needed for consumption However, the world's population continues to rise, and the capacity of the current food supply to adequately provide for all the people on earth is called ever more into doubt. Thus, we may become one of the few K-strategist species to experience a Malthusian catastrophe.

Irruptive Growth in Mammal Populations

Populations of some species tend to initially show a lack of response to density-dependent factors that limit population size as it nears carrying capacity. The exhibition of Malthusian growth is dependent on a number of elements including resource availability, degree of both interspecific and intraspecific completion, and strength of predator-prey relationships

Irruptive growth patterns are seen in a few mammal species, often in specific locations, and they are usually herbivores with relatively small body size. In cases where a single herbivore prey species is dominant in an ecosystem, there is likely to be a strong link with predator species, which serves to prevent un-checked population growth Rabbits and house mice of Australia tend to show irruptive growth, likely because when a drought ends, they reproduce at a rapid rate and continue to breed at that rate while predator reproduction is still seasonal in occurrence This allows for the population to explode and to be limited more by a return of dry conditions than by predators.

Larger herbivores like cervids(eg. pronghorn and deer) are also known to exhibit irruptive growth; this occurs in populations with high reproduction and delayed density dependent inhibition The time that a species is most likely to irrupt in population growth is when a population is first inhabiting an area or when predators are first removed, and both weather and food supplies are in the species’ favor When an area is being colonized, populations of species can grow rapidly and predator species are often not present to limit growth. Resource availability is not an issue either for colonizing populations, which will also experience little intraspecific and interspecific competition in early settlement of a location.

Similar to white-tailed deer in North America, roe deer in European locations have shown increases in abundance even in the face of already extremely high densities The deer are able to irrupt and continue to increase in density over their carrying capacity because in particular areas especially, populations show delayed response to density dependent factors The mammal species that exhibit Malthusian growth are the ones that, under certain conditions, act more like R-strategists than K-strategists compared to surrounding populations.
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