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高原鼠兔种群生产量生态学的研究Ⅲ.高原鼠兔生命率非密度制约与密度制约的种群动态趋势

1. 中国科学院高原生物研究所，西宁
• 出版日期:2006-07-27 发布日期:2007-07-20

STUDIES ON THE P0PULATION PRODUCTIVITY ECOLOGY OF PLATEAU PIKA Ⅲ ．TREND OF POPULATION DYNAM ICS IN PLATEAU PIKA WITHDENSITY_INDEPENDENT AND DENSITY—DEPENDENT VITAL RATES

LIU Jike， NIE Haiyan

• Online:2006-07-27 Published:2007-07-20

Abstract: This article predicted the trend of population dynamics in plateau pika (Ochotona curzoniae). using density-independent Leslie model and standard Leslie m odel which is modified so as to incorporate density—dependent feedback control on each parameter of the standard projection matrix．
The population number increase exponentially in density—independent case，the model is
0.15 2.16 1.58 18
MN=1 0．39 0 0 l}4 l
0 0．30 0 J ＼1／

The age structures and the population numbers in the years of I982- 2001 are predicted by this matrix.
The principal eigenvalue of matrixM is £=1．195． the corresponding eigenvector is V = (O．68， 0．25，0．07)，V is the stable age distribution of the population. The population dynam ics model in density—dependent case is
N(t+1)=M (t)N(t) (2)
the damping coefficients survival dam ping arid reproductive damping are chosen respectively
A1=A2=A3= (0，0 ，0)
B 0=B1=B 2=(1，1，1)x10-3 (3)
A1=A2=A3=(1，1，1)×10-3
B0= Bl=B2= (0，0，0) (4)
Under these two density damping conditions， the po pulation converges to a stable age distribution and a constant po pulation size，the principal eigenvalue is £(*)= 1．
The equilibrium population sizes are 101 and 176 respectively．The damping 0n survival is more effective than that on reprod uctive．The stable age distribution resulted by survival dam ping is identical with that predicted by the undamped mode1．Fertility damping results ia a flatter stable age—distribution than yielded by the undamped Leslie model， which are 0．66，0．26 aNd 0．08．