scholarly journals On the limit distribution of the maximum tree size in a Galton-Watson forest

2020 ◽  
pp. 89
Author(s):  
Елена Владимировна Хворостянская ◽  
Elena Khvorostyanskaya
Keyword(s):  
Limit Distribution ◽  
Tree Size ◽  
Distribution Of The Maximum

scholarly journals On the limit distribution of the maximum tree size in a Galton – Watson forest with a power-law distribution

2021 ◽  
pp. 64
Author(s):  
Елена Владимировна Хворостянская ◽  
Elena Khvorostyanskaya
Keyword(s):  
Power Law ◽  
Limit Distribution ◽  
Tree Size ◽  
Power Law Distribution ◽  
Distribution Of The Maximum

scholarly journals The limit distribution of the maximum increment of a random walk with regularly varying jump size distribution

Bernoulli ◽  
2010 ◽  
Vol 16 (4) ◽  
pp. 1016-1038 ◽  
Author(s):  
Thomas Mikosch ◽  
Alfredas Račkauskas
Keyword(s):  
Random Walk ◽  
Size Distribution ◽  
Limit Distribution ◽  
Jump Size ◽  
Distribution Of The Maximum ◽  
Regularly Varying ◽  
Maximum Increment

Spray Volume, Canopy Density, and Other Factors Involved in Thinner Efficacy

HortScience ◽  
1998 ◽  
Vol 33 (3) ◽  
pp. 553d-553
Author(s):  
C.R. Unrath
Keyword(s):  
Tree Height ◽  
Tree Canopy ◽  
Tree Size ◽  
Water Volume ◽  
Canopy Density ◽  
The North ◽  
Run Off ◽  
Tree Canopies ◽  
Average Water ◽  
Water Volumes

Historically, most airblast chemical applications to apple orchards used a single “average” water volume, resulting in variability of coverage with tree size and also the greatest variable in chemical thinning. This coverage variability can be eliminated by properly quantifying the tree canopy, as tree row volume (TRV), and relating that volume to airblast water rate for adequate coverge. Maximum typical tree height, cross-row limb spread, and between-row spacing are used to quantify the TRV. Further refinement is achieved by adjusting the water volume for tree canopy density. The North Carolina TRV model allows a density adjustment from 0.7 gal/1000 ft3 of TRV for young, very open tree canopies to 1.0 gal/1000 ft3 of TRV for large, thick tree canopies to deliver a full dilute application for maximum water application (to the point of run-off). Most dilute pesticide applications use 70% of full dilute to approach the point of drip (pesticide dilute) to not waste chemicals and reduce non-target environmental exposure. From the “chemical load” (i.e., lb/acre) calculated for the pesticide dilute application, the proper chemical load for lower (concentrate) water volumes can be accurately determined. Another significant source of variability is thinner application response is spray distribution to various areas of the tree. This variability is related to tree configuration, light, levels, fruit set, and natural thinning vs. the need for chemical thinning. Required water delivery patterns are a function of tree size, form, spacing, and density, as well as sprayer design (no. of nozzles and fan size). The TRV model, density adjustments, and nozzle patterns to effectively hit the target for uniform crop load will be addressed.

scholarly journals The distribution of the maximum of particular random fields

1986 ◽  
Vol 22 (1) ◽  
pp. 161-163
Author(s):  
J. Abrahams ◽  
B.L. Montgomery
Keyword(s):  
Random Fields ◽  
Distribution Of The Maximum
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