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Just a note

Arithmetically, the only difference between using the natural log of numbers, and log base ten numbers, is their slope is different. In other words, natural logs give you the correct rate. To convert the slope obtained using log10 multiply it by the natural log of 10 (loge[10] is approximately 2.3025).

In this case the straight line relationship indicates their survival rate is constant - and does not change with time. The negative slope indicates the fact that the rate this population is changing is negative - in other words the population is getting smaller. If the rate of change (r) was positive the population would be getting larger. In reality therefore, r is the difference between a population's gains (from births and immigration) and losses (from deaths and emigration).