Compartmental Analysis of the Production of Juncus roemerianus in a North Carolina Salt Marsh

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Abstract
Data obtained near Cape Lookout, North Carolina, during 1965 to 1968 on standing crop, growth rate, and longevity of above ground portions of needlerush,Juncus roemerianus, were synthesized into a three-compartment linear mathematical model. Analysis of field observations yielded average standing crops for live, dying, and deadJuncus of 344, 504, and 1,604 g dry wt m−2 respectively, and an annual production of 754 g dry wt m−2. The model, defined by equations below, duplicated the average standing crops and annual production and yielded seasonal cycles in the standing crops of the three compartments which explained much of the variation observed in these during the field work. TMP (air temperature in °C)=16.9+9.0×sine(2Π×t) d(live)/dt=2.3474×(1.000+0.745×sine(2Π×(t+0.104)))×X1−2.3395×(1.0+0.8×sine(2Π×(t+0.50)))×X1 d(dying)/dt=2.3395×(1.0+0.8×sine(2Π×(t+0.50)))×X1−1.640×(1.0+sine(2Π×(t+0.25)))×X2 d(dead)/dt=1.640×(1.0+sine(2Π×(t+0.25)))×X2−0.4853×2.8(TMP−18.9)/10.0 t is time in years measured from April 30; 1 year equals 2Π radians. Initial values for the three compartments on May 1 are 191, 583, and 1,690 g m−2 respectively.

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