Density dependent Resource Budget Model for alternate bearing

Density Estimators for Truncated Dependent Data

In some long term studies, a series of dependent and possibly truncated lifetime data may be observed. Suppose that the lifetimes have a common continuous distribution function F. A popular stochastic measure of the distance between the density function f of the lifetimes and its kernel estimate fn is the integrated square error (ISE). In this paper, we derive a central limit theorem for t...

Alternate Bearing in Fruit Trees1

Insight into Alternate Bearing of Pecan

The fundamental cause of alternate bearing in pecan [Carya illinoinensis (Wangenh.) K. Koch] is unknown, but is closely linked to the size of the dormant season carbohydrate pool. Nut yields (over a period of up to 78 years) were evaluated, for 66 cultivars, in regards to alternate bearing intensity (I). Best-fit regression analysis indicates no association between I and fruit ripening date (FR...

Noise Induced Synchronization on Collective Dynamics of Citrus Production

It is very common to observe nonlinear features in agricultural and ecological systems. For example, in tree crop production, alternate bearing is well known phenomena caused by nonlinear dynamics. Production of single tree of Citrus Unshiu trees is recognized to be driven by a mechanistic process modeled with the so-called “resource budget model”, which demonstrates phenomenon of alternate bea...

When can a single-species, density-dependent model capture the dynamics of a consumer-resource system?

Single-species population models often include density-dependence phenomenologically in order to approximate higher order mechanisms. Here we consider the common scenario in which density-dependence acts via depletion of a renewed resource. When the response of the resource is very quick relative to that of the consumer, the consumer dynamics can be captured by a single-species, density-depende...