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Corylus americana is cultivated as an ornamental plant for native plant gardens, and in wildlife gardens to attract and keep fauna in an area. There are cultivated hybrids of Corylus americana with Corylus avellana which aim to combine the larger nuts of the latter with the former's resistance to a North American fungus Cryptosporella anomala. [12]
At first, the population growth rate is fast, but it begins to slow as the population grows until it levels off to the maximum growth rate, after which it begins to decrease (figure 2). The equation for figure 2 is the differential of equation 1.1 ( Verhulst's 1838 growth model ): [ 13 ]
Equations used to describe plant size over time are then often expolinear [15] or sigmoidal. [16] [17] Agronomic studies often focus on the above-ground part of plant biomass, and consider crop growth rates rather than individual plant growth rates. Nonetheless there is a strong corollary between the two approaches.
Corylus americana – American hazel, eastern North America; Corylus avellana – Common hazel, Europe and western Asia; Corylus heterophylla – Asian hazel, Asia; Corylus yunnanensis – Yunnan hazel, central and southern China; Involucre long, twice the length of the nut or more, forming a 'beak' Corylus colchica – Colchican filbert, Caucasus
The equation can also be written: () ... The logistic function, with maximum growth rate at time , is the case where = =. Generalised logistic differential equation ...
Growing degrees (GDs) is defined as the number of temperature degrees above a certain threshold base temperature, which varies among crop species. The base temperature is that temperature below which plant growth is zero. GDs are calculated each day as maximum temperature plus the minimum temperature divided by 2, minus the base temperature.
Moreover, the function makes use of initial growth rate, which is commonly seen in populations of bacterial and cancer cells, which undergo the log phase and grow rapidly in numbers. Despite its popularity, the function initial rate of tumor growth is difficult to predetermine given the varying microcosms present with a patient, or varying ...
dN/dt = rate of increase of the population. After dividing both sides of the equation by the population size N, in the logistic growth the left hand side of the equation represents the per capita population growth rate, which is dependent on the population size N, and decreases with increasing N throughout the entire range of population sizes.